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习题练习：new new new new
本习题练习来源于题库网 (https://tiku.one)，是在线习题练习的打印版，您也可以访问本平台网站(https://tiku.one/)直接在线完成(注册并登录账号后在首页左侧输入试卷号 545 即可在线作答)，，作答电子化后可随时回放，查看每题答案与详细解析，搜藏保存任意题目；教师使用本平台可以抽题组卷或一键复制他人试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力。本试卷的直接作答链接 https://tiku.one/test545.html
 作者: 王信东Wood  发布日期: 2024-10-30 17:35    总分: 118分  得分: _____________

答题人: 匿名未登录  开始时间: 10月30日 17:35  切换到: 单题模式

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1#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Sometimes people say that water is removed from clothes in a :p g.uo5m:wee spin dryer by centrifugal force throwing the wate5:u .pmw:goeer outward. What is wrong with this statement?
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2#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Will the acceleration of a car be the same when the car travels around a sharp cu 7c g8ejx.gl66m+)qd7hk nzcurve at a czugh m) l.ck67g 7ecj8+6nx qdonstant 60 km/h as when it travels around a gentle curve at the same speed? Explain.
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3#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Suppose a car moves at constant speed along a hilly i:tdu h7 0v7juroad. Where does the car exert the greatest and least forces on the road: (a) at the top of a hill, (b) at a dip between two hillu 7v:0thd7u ijs, (c) on a level stretch near the bottom of a hill?
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4#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Describe all the forces acting on a child ridin8;al emhq2qse0ac0r,bx i 3;v g a horse on a merry-go-round. Which of these forcace3q8,2;smlhb veir0 x ;qa0es provides the centripetal acceleration of the child?
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5#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A bucket of water can be whirled in a vertical circle witho(:1navr uu)e7 o yqpwh,b :)xsut the water spilling out, even at the top of the circle when ther a,7(:q:vhw)o bu)px1yu en s bucket is upside down. Explain.
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6#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
How many “accelerators” do ;mgp6sv3(m rmyou have in your car? There are at least three controls in the car which can be used to cause the car to accelerate. W s3gp(mrv6 mm;hat are they? What accelerations do they produce?
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7#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A child on a sled comes flying over t hb yv7z88 ,zsses63snhe crest of a small hill, as shown in Fig. 5–31. His sled does not leave the ground (he does nbz36 sh ,seyzvs887nsot achieve “air”), but he feels the normal force between his chest and the sled decrease as he goes over the hill. Explain this decrease using Newton’s second law.

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8#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Why do bicycle riders lean inward lude y3b7cssbv;i :c)(/j* cm when rounding a curve at high speed?
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9#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Why do airplanes bank when they turn? How would you compute the banking angle gik:q hgm.n/m, w db,h9even its speednwmhhm q 9,.d:b,g/ke and radius of the turn?
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10#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A girl is whirling a ball on a string around her head in a hob5ded6: o 3pgk nm,eo2rizontal plane. She wants to let go at precisely the right time so that the ball will hit a target op3oeo2bn gedk :,d5m6 n the other side of the yard. When should she let go of the string?
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11#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Does an apple exert a gravitational forc5 awf8st 0)nxre on the Earth? If so, how large a forcestaf5 x80)nwr ? Consider an apple
(a) attached to a tree, and (b) falling.
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12#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
If the Earth’s mass were 0 6ooqaag8s9rl8 q 0t,0qbkszdouble what it is, in what ways would the Moon’s orbit be d8bl80ssq0 t69oarq 0,gq k zoaifferent?
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13#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Which pulls harder gravitationally,eae74v 4uba5*2ib w8/wmjhvz the Earth on the Moon, or the Moon on the Earth? Which accelerates more?bzv 8 heib27 4 *aju/aew5mwv4
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14#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
The Sun's gravitational pull on the Ea f:.qoknjl8 df3.5 fmcrth is much larger than the Moon's. Yet the Moo o. qn3kcmffldjf .:85n's is mainly responsible for the tides. Explain. [Hint: Consider the difference in gravitational pull from one side of the Earth to the other.]
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15#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Will an object weigh more at the equator or at s;,v syk:ba v-the poles? What two effects are at workysk- v:;b ,sav? Do they oppose each other?
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16#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
The gravitational force on the Moon due to the Earth is oxmw /9ht1re: m2abu5knly about half the force on thew m/1hxkar:em 5 tu2b9 Moon due to the Sun. Why isn’t the Moon pulled away from the Earth?
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17#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Is the centripetal accele0qwar idwe53. ration of Mars in its orbit around the Sun larger or smaller tw q0a35wried.han the centripetal acceleration of the Earth?
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18#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Would it require less speed to launch a satellityi- a *jcj:*o-3bqyzoe (a) toward the east or (b) toward the wesj** -ajoyibc :yq-3ozt? Consider the Earth’s rotation direction.
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19#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
When will your apparent weight be ta1/e(hm vy3iryn 7y,jhe greatest, as measured by a scale in a moving elevator: when the elevator (a) accelerates downward, (b) accelerates upward, (c) is in free fall, (d) moves upward at constant speed? In which case would your weight be the least? When would it be the same as when you are on the ga(yv/e3h i,y7rym nj1 round?
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20#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
What keeps a satellite up in its orbit around theEarth?
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21#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Astronauts who spend long periods in outer space q 2k :4 ..z1jzfpdppoacould be adversely affected by weightlessness. One way to simulate gravity is to shape the spaceship like a cylindrical shell that rotates, with the astronauts walking on the inside surface (Fig. 5–32). Explain how this simulates gravity. Consider (a) how objects fall, (b) the force we feel on our feet, and (c) any other aspects of gravityj :1pd.k ozpfza2.p4 q you can think of.
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22#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Explain how a runner experiences “free fall” or “app6z 8tab9 m4mkqarent weightlessness” between steps.9a tm6qzbm4 k8
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23#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
The Earth moves faster in its orbit around to9. p,,c:v hhiskfv;hhe Sun in January than in July. Is the Earth closer to the Sun in January, or in July? Explain. [Note: This is not much of as;p k, 9ovhi ,fchh:.v factor in producing the seasons — the main factor is the tilt of the Earth’s axis relative to the plane of its orbit.]
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24#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
The mass of Pluto was not known until it was discovered to have a moog*1j uzauu m1/n. Explain howguzjmu * /1ua1 this discovery enabled an estimate of Pluto’s mass.
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25#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The Sun's gravitational pull on the Earth4op( 8jggab )6 e2bnhz is much larger than the Moon's. Yet the Moon's is mainly responsible for the tides.jg24 8 6gbh()nbopa ze Explain. [Hint: Consider the difference in gravitational pull from one side of the Earth to the other.]A child sitting 1.10 m from the center of a merry-go-round moves with a speed of 1.25 $\mathrm{~m} / \mathrm{s}$ . Calculate (a) the centripetal acceleration of the child,   
(b) the net horizontal force exerted on the child ( mass =25.0 $\mathrm{~kg}$)   

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26#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A jet plane traveling 1980hp eu3t(:g 8 tnpr+: m6dbo6mq $\mathrm{~km} / \mathrm{h}(525 \mathrm{~m} / \mathrm{s})$ pulls out of a dive by moving in an arc of radius 6.00 km . What is the plane's acceleration in $g^{\prime}$ 's?    g's

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27#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Calculate the centripetal acceleration of the Eaj-*ur0 g,eb- najka,xrth in its orbit around the Sun, and the net force exerted on the Earth. What exerts thi rjaaeujx0-b, -,n*gks force on the Earth? Assume that the Earth's orbit is a circle of radius 1.50$ \times 10^{11} \mathrm{~m}$ . [Hint: see the Tables inside the front cover of this book.]    $\times10^{22}$

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28#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A horizontal force of 210 N is exerted on a 2.0-kg discus as it rotates ty6v1ncao3m* wri7(:fliv1 x uniformly in a horizontal circle (at arm’s length) of rr( wlv of17 1cx3yi6t :niv*amadius 0.90 m. Calculate the speed of the discus.   

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29#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Suppose the space shuttle is in ospb m 2l-u:n9hrbit 400 km from the Earth's surface, and circles the Earth about once every 90 minutes. Find the centripetal accele9nbul shm2 -:pration of the space shuttle in its orbit. Express your answer in terms of g , the gravitational acceleration at the Earth's surface. $\approx$    g

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30#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the magnitude of the accelersrw,nx1ba 3jayck )0iu /6uf: ation of a speck of clay on the edge of a potter’s wheel turning at 45 rpm (revolutiouyi0sr n)c k3 af1w/u ,xjab6:ns per minute) if the wheel’s diameter is 32 cm?   

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31#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A ball on the end of a string is igo zn24arl ,,,qw2fh revolved at a uniform rate in a vertical circle of radius 72.0 cm , as shown in2,w,q4gfl,zho in 2ar Fig. 5-33. If its speed is 4.00 $\mathrm{~m} / \mathrm{s}$ and its mass is 0.300 kg , calculate the tension in the string when the ball is (a) at the top of its path   
(b) at the bottom of its path.   


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32#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A 0.45$-\mathrm{kg}$ ball, attached to the end of a horizontal cord, is rotated in a circle of radius 1.3 m on a frictionless horizontal surface. If the cord will break when the tension in it exceeds 75 N , what is the maximum speed the ball can have?   

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33#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the maximum speed with which a 6fuian2/bj2q1050-kg car can round a turn of radius 77 m on a flat road if the coefficient of static friction between tires and rojaiq62n uf2/b ad is 0.80? Is this result independent of the mass of the car?   

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34#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  How large must the coefficie(u:py c hy(7gd lolu80nt of static friction be between the tires and the road if a car is to round a level curve of radius 85 m at a speed of g uu:70ohy8ypc((dll 95km/h ?   

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35#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A device for training astronauts and jet fighter pilp imx ,ro/e9-yots is designed to rotate a trainee in a ,pmo9iyx er/-horizontal circle of radius 12.0 m . If the force felt by the trainee on her back is 7.85 times her own weight, how fast is she rotating?    rev/s    m/s
Express your answer in both $ \mathrm{m} / \mathrm{s}$ and $\mathrm{rev} / \mathrm{s}$ .

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36#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A coin is placed 11.0 cm from the axis of a rotating turntable of variable sm22kcigz/ xi+b s) 2nnpeed. When the speed of the turntable is slowly increased, the coin remains fixed on the turntable until a rate of 36 rpm is reached and the coin slides off. What is the cczni 2x2/s+m 2nkgib)oefficient of static friction between the coin and the turntable?   

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37#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  At what minimum speed must a roller coaster bem y0xvi :q;7xg traveling when upside down at the top of a gxim7vq; :x0y circle
(Fig. 5-34) so that the passengers will not fall out? Assume a radius of curvature of 7.4 m .   

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38#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  (II) A sports car of mass 950 kfo haotg03cd6 :p -jpomj:w,6.l/z g og (including the driver) crosses the rounded top of -modhjpl/oaj: :pwoc6g ,of3 gt0z.6a hill (radius =95$ \mathrm{~m}$ ) at 22 $\mathrm{~m} / \mathrm{s}$ . Determine
(a) the normal force exerted by the road on the car,   
(b) the normal force exerted by the car on the 72-kg driver   
(c) the car speed at which the normal force on the driver equals zero.   

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39#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  How many revolutions per mici)bm6 sp-fpx5;:li fd,nz d5nute would a 15-m-diameter Ferris wheel need to make for the paszdfpm-;i)5x l pf:bics5dn6, sengers to feel “weightless” at the topmost point?    rpm

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40#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A bucket of mass 2.00 kg is whir4uepr re0 i4-dlwc,4 jled in a vertical circle of radius 1.10 m. At the lowestji r4eedp44 -uwl,0rc point of its motion the tension in the rope supporting the bucket is 25.0 N.
(a) Find the speed of the bucket. $\approx$   
(b) How fast must the bucket move at the top of the circle so that the rope does not go slack?   

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41#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  How fast (in rpm) must a cent .o 6.hsw3 r x143a9kcgikormvo0c gt,rifuge rotate if a particle 9.00 cm from the axis of rotation is to experience an acceleration 0itsom grco 1.kca9.o 3x4wkv r3 6,ghof 115,000 $\mathrm{~g} $'s?    rpm

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42#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  In a "Rotor-ride" at a carnival, peo01 c)92 jvm5npmecpfmple are rotated in a cylindrically walled "r vc)159 0mjcfppn2 emmoom." (See Fig. 5-35.)
The room radius is 4.6 m , and the rotation frequency is 0.50 revolutions per second when the floor drops out. What is the minimum coefficient of static friction so that the people will not slip down? People on this ride say they were "pressed against the wall." Is there really an outward force pressing them against the wall? If so, what is its source? If not, what is the proper description of their situation (besides "scary")? [Hint: First draw the free-body diagram for a person.]   


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43#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A flat puck (mass M ) is rotated in a circle on a frictionless x*9fw(s7nabas h *)t;j 9ftvr air-hockey tabletop, and is held in this orbit by a light cord connected to a danga9j nf*x *;79wbt hsrva(ft)sling block (mass m ) through a central hole as shown in Fig. 5-
36. Show that the speed of the puck is given by

$v=\sqrt{\frac{m g R}{M}}$

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44#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Redo Example 5-3 , preciselfo7gli7o o2o+d lr8/ cy this time, by not ignoring the weight of the ball which revolves on a string 0.600 m long. In particular, find the magnitudd7f+l/ro8l 7co o gi2oe of $\overrightarrow{\mathbf{F}}_{\mathrm{T}}$ , and the angle it makes with the horizontal. [Hint: Set the horizontal component of $\overrightarrow{\mathrm{F}}_{\mathrm{T}}$ equal to m $a_{\mathrm{R}}$ ; also, since there is no vertical motion, what can you say about the vertical component of $\overrightarrow{\mathbf{F}}_{\mathrm{T}}$ ?] $\overrightarrow{\mathbf{F}}_{\mathrm{T}}$ =    the angle =   

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45#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  If a curve with a radius of 88 m is perfectly ban4 f5er)f1giv /prr,f zfag6q3ked for a car traveling 75 $\mathrm{~km} / \mathrm{h}$ , what must be the coefficient of static friction for a car not to skid when traveling at 95 $\mathrm{~km} / \mathrm{h}$ ?   

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46#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A 1200$-\mathrm{kg}$ car rounds a curve of radius 67 m banked at an angle of 12$^{\circ}$ . If the car is traveling at 95$ \mathrm{~km} / \mathrm{h}$ , will a friction force be required? If so, how much and in what direction? $\approx$    down the plane

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47#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Two blocks, of massev y *zh.+oeh*d vq)z2vs $ m_{1}$ and $m_{2}$ , are connected to each other and to a central post by cords as shown in Fig. 5-37. They rotate about the post at a frequency f (revolutions per second) on a frictionless horizontal surface at distances $r_{1}$ and $r_{2}$ from the post. Derive an algebraic expression for the tension in each segment of the cord.

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48#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A pilot performs an evasive :kyvvi 937 axwmaneuver by diving vertically at 310 $\mathrm{~m} / \mathrm{s}$ . If he can withstand an acceleration of 9.0 g 's without blacking out, at what altitude must he begin to pull out of the dive to avoid crashing into the sea?   

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49#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Determine the tangential anai57grit6d-tjtb z. )d centripetal components of the net force exerted on the car (by the ground) irb.t5it 7j- 6dzg ati)n Example 5-8 when its speed is 15$ \mathrm{~m} / \mathrm{s}$ . The car's mass is 1100 kg . F$_{tan}$ =    F$_R$ =   

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50#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A car at the Indianapolis 500 accelerates uniformly from the pit area, going fro49bjpbm5 vtn:p7f3k gm rest to 320kj b3pmk5bvf n9 g:4p7tm/h in a semicircular arc with a radius of 220 m. Determine the tangential and radial acceleration of the car when it is halfway through the turn, assuming constant tangential acceleration. If the curve were flat, what would the coefficient of static friction have to be between the tires and the road to provide this acceleration with no slipping or skidding? $\approx$   

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51#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A particle revolves in ahu*-io7ah rrf( (yc(c horizontal circle of radius 2.90 m . At a particular instant, its acceleration is arc(i(fyoc-u7 *rhh( 1.05 $\mathrm{~m} / \mathrm{s}^{2}$ , in a direction that makes an angle of 32.0$^{\circ}$ to its direction of motion. Determine its speed (a) at this moment   
(b) 2.00 s later, assuming constant tangential acceleration.   

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52#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Calculate the force of gegwsv4e/8vl 38 w o+cEarth’s gravity on a spacecraft 12,800 km (2 Earth radii) above the Earth’s surfa8w8/sc wv 3lgo v4eg+ece if its mass is 1350 kg.   

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53#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  At the surface of a certain planet, tha xvdnwv.loiyan:fu541, x3 +e gravitational acceleration g has a magnit.x yfi ulxn 13dvvn a,:w5o+a4ude of 12 m/s$^2$ A 21.0-kg brass ball is transported to this planet. What is (a) the mass of the brass ball on the Earth and on the planet   
(b) the weight of the brass ball on the Earth and on the planet? $W_{Earth}$   $W_{planet}$  

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54#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Calculate the acceleration due to gravity on the Moon. The kyu-vkbjy(7,iv/.kb Moon's radius is 1.7,v(j bki 7byk/vuy- k.4 $\times 10^{6} \mathrm{~m} $ and its mass is 7.35 $\times 10^{22} \mathrm{~kg}$ .   

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55#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A hypothetical planet has a radius 1.5 xy*0avt , fu;x5uxgj+times that of Earth, but has the same mass. What is the acceleration due to grf vaju*gx ;5x,0tyu+xavity near its surface?   

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56#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A hypothetical planet has a mass 1.66 times that of Earth, bu6,4qfub ab e av/:mmhb6.e4 qgt the same radius. What is g nearma,ameb6 hbufq:vb4g e64./q its surface?   

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57#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Two objects attract each other gbp 9hcbo 83 *8uoo1cugravitationally with a force of 2.5$ \times 10^{-10} \mathrm{~N}$ when they are 0.25 m apart.
Their total mass is 4.0 kg . Find their individual masses. m$_1$ =    m$_2$ =   

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58#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Calculate the effective value of g , the acceleration on,2a +cpogtezf ;.qgx k9ste 5aj,6m 5f gravity, at (a) 3200 mc ezogxm+ 9.a2,kpn;s aj 6ft5eq t5g,    , and (b) 3200 km    , above the Earth's surface.

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59#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is thedistance from the Earth’s center to a rb 5c/l:ltp y)v5 gpysp34 mq)point outside the Earth where thegravitational acceleratio5q 4):sp plp5tgb rcmyy /v)3ln due to the Earth is $\frac{1}{10}$ of its value atthe Earth’s surface?   $\times10^7$

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60#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A certain neutron star has five times the mass of our Sun pac :w pspu..rr2.avtinj /4 u9akked into a sphere about 10 km in radius. Estimate the sus9u.rj:tv .naiua4ppw 2/ rk. rface gravity on this monster.    $\times10^12$

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61#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A typical white-dwarf star, which once was an average star like our Sun but is o/awm64sbs 8y now in the last stage of its evolution, is the size of our Moon but has the mass of our Sun. What is the surface gravity on this starw8 6bsam4/s oy?    $\times 10^7$

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62#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  You are explaining why,h b nvrc1g:7o f6d 59ngh5.zlsyva6 c astronauts feel weightless while orbiting in the space shuttle. Your friends respond that they thought gravity was just a lot weaker up there. Convince gcr6n5vvy967 d:1 hzofgacb ,hnsl.5 them and yourself that it isn’t so by calculating the acceleration of gravity 250 km above the Earth’s surface in terms of g.   

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63#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Four 9.5-kg spheres are located at the corne-)2bo6p ontayla7n y 3rs of a square of side 0.60 m. Calculate the magnitude and direction of the total gravitational force exerted on one sphere by 6y)lo7bt-o2naa 3 ypnthe other three.   $\times 10^{-1} \mathrm{~N} \text { at }$    $^{\circ}$

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64#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Every few hundred years most of the planets line upden1oxit*h:-e41 u wp on the same side of the Sun. Calculate the total force on t:niuh4w*eo - t1ex1p dhe Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line (Fig. 5-38). The masses are $M_{\mathrm{V}}=0.815 M_{\mathrm{E}}, M_{\mathrm{J}}=318 M_{\mathrm{E}}, \quad M_{\mathrm{S}}=95.1 M_{\mathrm{E}}$ , and their mean distances from the Sun are 108,150,778 , and 1430 million km , respectively. What fraction of the Sun's force on the Earth is this? $F_{Earth-planets}$ =   $\times 10^{17}$ ${F_{Earth-plantes}}$ \ ${F_{Earth-sun}}$=    $\times 10^{-5}$

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65#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Given that the acceleration of gravity2mpoiwsg+i;663ko2a hh 8l 0xx6v ff j at the surface of Mars is 0.38 of what it is on Earth, and that Mars’ radius is 3400 km, determine the mass ofaowm+i h6g2 fx28o 3v 0f6klhi;6pxjs Mars.    $\times 10^{23}$

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66#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Determine the mass of the Sun using0)rg8e(zu xlu the known value for the period of the Earth and its distance from the Sun. [Note: Compare your answer to thrug ()x8z0le uat obtained using Kepler’s laws, Example 5–16.]    $\times 10^{30}$

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67#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Calculate the speed of a satellite movinghao8 lwq;g ,/f in a stable circular orbit about the Earth at a height of/a 8fg;hl,qow 3600 km.    $\times 10^3$

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68#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The space shuttle releases a satellite into a circular orbiir c uabz2k7/4 zt;nl,9yexv/ t 650 km above the Earth. How fast must the shuttle be moving (relative to Ear z;2xn4al kvctiz7 erub9 /y,/th) when the release occurs?    $\times 10^3$

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69#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  At what rate must a cylindrical spaceshiio73 ;tqkyju6. bifr.p rotate if occupants are to experience simula37q6jy i ;ukri.to. fbted gravity of 0.60 g? Assume the spaceship’s diameter is 32 m, and give your answer as the time needed for one revolution. (See Question 21, Fig 5–32.)   


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70#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Determine the time it takes for a satellite to orbit the Earth in a ct,elkekg3.lk;m* bx sf3y n 5o2q 6j0uircular “near-Earth” orbit. A “near-Earth” orbit is one at a height above the surface of the Earth which is very small compared to the rad5,e0klt6um 3 njf.;e b x3os*klgkqy2ius of the Earth. Does your result depend on the mass of the satellite?    s ~    min

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71#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  At what horizontal velocity wojwcx d.1csuy;d1mi/92 u yv5 guld a satellite have to be launched from the top of Mt. Everest to be placed in a circular orbit around the Earthj 9iyx5d;s1c 1m.w2 ygvuu dc/?   

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72#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  During an Apollo lunar landing mission, the command module continued to orbit th/tg,/op)-j9arkvkfzn fkjw. 0p60pc e Moon at an altitude of about 100 km./k)g/v z6k0fn.,c9kt ppof - j0prawj How long did it take to go around the Moon once?    s

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73#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The rings of Saturn are composed of chunks of ice thx)7jbe7wet p 3at orbit the planet. The inner radius of the rings is 73,00t3w) b e7jpx7e0 $\mathrm{~km}$ , while the outer radius is 170,000$ \mathrm{~km}$ . Find the period of an orbiting chunk of ice at the inner radius and the period of a chunk at the outer radius. Compare your numbers with Saturn's mean rotation period of 10 hours and 39 minutes. The mass of Saturn is 5.7 $\times 10^{26} \mathrm{~kg}$ .


$T_{\text {irner }} $ =   
$T_{\text {outer }} $ =   

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74#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A Ferris wheel 24.0 m in diameter rotates once every 15.5 s (see Fq(ef3lfbi +c5s37 hpyf*mjc 9ig. 5–9). What is the ratio of a person’s apparent weight tolj5eibfcs * (hyq 3mp7ff9+c3 her real weight (a) at the top, and (b) at the bottom?
(a)    (b)   

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75#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the apparent we31.hf24yrms m wgwp4yo6 me*a ight of a 75-kg astronaut 4200 km from the center of the Earth's Moon in a spw f gormmp. e31*42 6msa4hyywace vehicle (a) moving at constant velocity,      
(b) accelerating toward the Moon at 2.9 $\mathrm{~m} / \mathrm{s}^{2}$ ?      

State the "direction" in each case.

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76#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Suppose that a binary-star system consists of two stars 3twg1p fo8 8qeof equal mass. They are observed to be separated by 360 million km and take 5.7 Earth years to orbit about a point midway between them. What is 8 owg8f1t3pq ethe mass of each?    $\times 10^{29}$

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77#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What will a spring scale read for the weight of a 55-kg woman in an elevator thaq *o/0 c0oy pmj(4riqy s4bcqk5ek*a: t cbo:kyei*kq*y 5r0 m/ap qqj 44so 0(cmoves
(a) upward with constant speed of 6.0m./s   
(b) downward with constant speed of 6.0m./s   
(c) upward with acceleration of 0.33 g,   
(d) downward with acceleration 0.33 g   
(e) in free fall?   

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78#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A 17.0-kg monkey hangs from a cord suspended from the ceiling of an elevator. Thxx c(.8 dhgs8ce cord can withstand a tension of 220 N and breaks as the elevator accelerates. What was the elevator’s minimum acceleration (magnitude and dx.d h(8c 8sgcxirection)? a =   

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79#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Show that if a satellite orbits very near the surface of a planet with period t+8 xsb4*pj* s,btn, yfxx-klT , the density (mass/volume) of the planet s knyb4spb-j,t 8+xxfxt,**l is $\rho=m / V=3 \pi / G T^{2}$ .
(b) Estimate the density of the Earth, given that a satellite near the surface orbits with a period of about 85 min .
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80#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Use Kepler’s laws and the period of the Moon (27.4 d) to determine the j -fjgzzkz/jmb:bw d+12m/7 wperiod of an arwzk7/ zgz/wjj:-j1mb db+ 2mftificial satellite orbiting very near the Earth’s surface.    s

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81#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The asteroid Icarus, though only a few hundred hvwwk19 m+j7dmeters across, orbits the Sun like the planets. Its period is 410 d. What is its mean wh71kvj+d 9mwdistance from the Sun?    $\times 10^{11}$

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82#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Neptune is an average di5g j7:nd qmlew*+w7 4c8hdae wf n7-njstance of 4.5 $\times 10^{9} \mathrm{~km}$ from the Sun. Estimate the length of the Neptunian
year given that the Earth is 1.50 $\times 10^{8} \mathrm{~km}$ from the Sun on the average.    $\times 10^2$

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83#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Halley’s comet orbits the Sun roughly once every 76 years. It comes very clb7w,q o kqs-n 11 :8pm)l g(t1inbfpetose to the surface of the Sun on its closest approach (Fig. 5–39). Estimate the greatest distance of the comet from the Sun. Is it still “in” the Solar System? What planet’s orbit is nearest when it is ouk1etip-1 7(b t fl81mqn:wb psn) og,qt there? [Hint: The mean distance s in Kepler’s third law is half the sum of the nearest and farthest distance from the Sun.]    $\times 10^6$


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84#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Our Sun rotates about the cent cr0to:.(l07 x a4gt yom(davder of the Galaxy $\left(M_{G} \approx 4 \times 10^{41} \mathrm{~kg}\right)$ at a distance of about 3 $\times 10^{4}$ light-years $\left(1 \mathrm{ly}=3 \times 10^{8} \mathrm{~m} / \mathrm{s} \times 3.16 \times 10^{7} \mathrm{~s} / \mathrm{y} \times 1 y\right)$ . What is the period of our orbital motion about the center of the Galaxy? $\approx$   $\times 10^8$

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85#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Table 5–3 gives the mass, ksw/ 8bp-, 2vvrm,aluperiod, and mean distance for the four largest moons of Jupiter (those discovered by Galileo in 1609)pua-vms,8,k / bvrw l2.
(a) Determine the mass of Jupiter using the data for Io.$M_{\substack{\text { Jupiter- } \\ \text { Io }}}$ =    $\times 10^{27}$
(b) Determine the mass of Jupiter using data for each of the other three moons. Are the results consistent?
$M_{\substack{\text { Jupiter- } \\ \text { Europa }}}$ =    $\times 10^{27}$
$M_{\substack{\text { Jupiter- } \\ \text { Ganymede }}}$ =    $\times 10^{27}$
$M_{\substack{\text { Jupiter- } \\ \text { Callisto }}}$ =    $\times 10^{27}$

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86#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Determine the mass of the Earth from the known period and distance z 7wlsc-n1dbea ,w7u 9iv.f5xo8l1av of the Moon. 1veidz.8f x9nva ub ac-,1so w5l7wl 7   $\times 10^{24}$

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87#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Determine the mean dist x,b3g;2igekb ance from Jupiter for each of Jupiter’s moons, using Kepler’s third lix3 2bgb;g ,ekaw. Use the distance of Io and the periods given in Table 5–3. Compare to the values in the Table.
$r_{\text {Farip }}^{r}$ =    $\times 10^3$
$r_{\text {Guarymale }}$ =    $\times 10^3$
$r_{\text {Culimio }}$ =    $\times 10^3$

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88#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The asteroid belt between Mars and Jupiter consists of manyuo 21w2y1ch dx fragments (which some space scientistsy ow d1x2h2c1u think came from a planet that once orbited the Sun but was destroyed).
(a) If the center of mass of the asteroid belt (where the planet would have been) is about three times farther from the Sun than the Earth is, how long would it have taken this hypothetical planet to orbit the Sun?$\approx$    y
(b) Can we use these data to deduce the mass of this planet?

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89#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A science-fiction tale describes an artificial "planet"nykn4l3.+hzi gmu. a( in the form of a band completely encircling a sun (Fig. 5-40). The inhabitants live on the inside surface (where it is always noon). Imagine that this sun is exactly like our own, that the distance to the band is the same as the Earth-Sun distance (to make the climate temperate), and that the ring rotates quickly enough to produce an apparent gravity of g as on Earth. What will be the period of revolution, this planet's hy n+i34. .kga(l zunmyear, in Earth days?   


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90#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Tarzan plans to cross a gorge by swinging in an arc from a hanging vine (Fig. ul rj (eck-+fzw(7g/v 5–41). If his arms are capable of exerting a force of 1400 N on the vine, what is the maximum speed he cawlgf-r+(z cu7ve/j k (n tolerate at the lowest point of his swing? His mass is 80 kg, and the vine is 5.5 m long.   


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91#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  How far above the Earth’s surface will the acce b(:t3 fx (;e:z bzhmf)i2;indcywzn)leration of gravity be half what it is on nizcz) )z3in (dtx;h yef2f:(mw;b: bthe surface?    $\times 10^6$

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92#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  On an ice rink, two skaters of equal mass grab hands and spin in a mutual w54se 4 xcg4 yga.2xjv*p k7ylcircle once every 2.5 s. If w2vg*7 xky 4gla45psjy4. c ewxe assume their arms are each 0.80 m long and their individual masses are 60.0 kg, how hard are they pulling on one another?    $\times 10^2$

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93#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Because the Earth rotates once per day, the apparengyrio l6:-f- 20 ncyuet acceleration of gravity at the equator is slightly less y--cge6lu fnir 20 :oythan it would be if the Earth didn’t rotate. Estimate the magnitude of this effect. What fraction of g is this?    $\times 10^{-1}$

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94#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  At what distance from the Earth will a spacecraft z-:: x nn:psawp)( t*yrya2f ftraveling directly from the Earth to the Moon experience zero net forcewarp x :*:-nsy()tnz f:2pyfa because the Earth and Moon pull with equal and opposite forces?    $\times 10^8$

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95#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  You know your mass is 65 kg, but when you stand on a bath xtay,*h cjl.9room scale in an elevator, it says yourl j*,yac.xt h9 mass is 82 kg. What is the acceleration of the elevator, and in which direction?      

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96#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A projected space station consists of a circular tube that will rotate about it m+yz6znhc 70rs center (like a tubular bicycle tire) (Fig. 5–42). The circle formed by the tube has a diameter of about 17h 6 n0zyzcr+m.1 km. What must be the rotation speed (revolutions per day) if an effect equal to gravity at the surface of the Earth (1.0 g) is to be felt?$\approx$    $\times 10^3$





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97#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A jet pilot takes his aircraft in ,tc xnq zn((d)a vertical loop (Fig. 5–43).
(a) If the jet is moving at a speed of at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0 g’s.    $\times 10^3$
(b) Calculate the 78-kg pilot’s effective weight (the force with which the seat pushes up on him) at the bottom of the circle    $\times 10^3$
(c) at the top of the circle (assume the same speed).
   $\times 10^3$


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98#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Derive a formula for the mass of :qmz165-fmyi3m)f c-(mk, kvzupdwva planet in terms of its radius r, the acceleration duqv kzy)(mcz31w5:kf 6mpm--ifv mdu ,e to gravity at its surface and the gravitational constant G.
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99#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A plumb bob (a mass m hanging on a string) is deflected from the vet 5y0twmwwb 4.rtical by an angley.mw b50w ttw4 $\theta$ due to a massive mountain nearby (Fig. 5-44). (a) Find an approximate formula for $\theta$ in terms of the mass of the mountain, $m_{\mathrm{M}}$ , the distance to its center, $D_{\mathrm{M}}$ , and the radius and mass of the Earth. (b) Make a rough estimate of the mass of Mt. Everest, assuming it has the shape of a cone 4000 m high and base of diameter 4000 m . Assume its mass per unit volume is 3000 kg per $ \mathrm{m}^{3}$ . (c) Estimate the angle $\theta$ of the plumb bob if it is 5 km from the center of Mt . Everest.
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100#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A curve of radius 67 m is banked for a design speed of If the coezf . fi( z w80k,miyoyp,kgz3:fficient of static friction is 0.30 (wet pavement), at what range of speeds can,i(y oi3g0w8 k:fyz zzk.fm ,p a car safely handle the curve?
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101#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  How long would a dayqdxlt0) o)q7,mig)e e be if the Earth were rotating so fast that objects at the equator weq g emdt)e q70)lo,ix)re apparently weightless?    $\times 10^3$s

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102#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Two equal-mass stars maintain a cons/,uimzrh 909)mze-qq m mz y7otant distance apart of 8.0 $\times 10^{10} \mathrm{~m} $ and rotate about a point midway between them at a rate of one revolution every 12.6 yr . (a) Why don't the two stars crash into one another due to the gravitational force between them?
(b) What must be the mass of each star?    $\times 10^{26}$

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103#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A train traveling at a constant speed rounds a2zvft v25p d:xg. lyl,*ghb0;w ils)g curve of radius 235 m. A lamp suspended from the ceiling swings ouls lid 5 .0zp,vgw2hg*l2:t; xfvgby)t to an angle of 17.5$^{\circ}$ throughout the curve. What is the speed of the train?   

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104#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Jupiter is about 320 times as massive as the Earth. Thus, it has been claimed x9an;kf6 r+if/h pox8that a person would be crushed by the force of gravity on a planet the size of Jup rpo xa6n/98fh ki+xf;iter since people can't survive more than a few g 's. Calculate the number of g 's a person would experience at the equator of such a planet. Use the following data for Jupiter: mass =1.9 $\times 10^{27} \mathrm{~kg}$ , equatorial radius =7.1$ \times 10^{4} \mathrm{~km}$ , rotation period =9 $\mathrm{hr} 55 \mathrm{~min}$ . Take the centripetal acceleration into account.    g's

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105#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Astronomers using the Hubble Spa ket/)ie:nqm9v k t,z9u6fvs.ce Telescope deduced the presence of an extremely massive core in the distant galaxy M87, so dense thef k/ 6v)vikqe9zn.9:tm ,tsuat it could be a black hole (from which no light escapes). They did this by measuring the speed of gas clouds orbiting the core to be 780 $\mathrm{~km} / \mathrm{s}$ at a distance of 60 lightyears $ \left(5.7 \times 10^{17} \mathrm{~m}\right)$ from the core. Deduce the mass of the core, and compare it to the mass of our Sun. v =    $\times 10^{39}$solar masses =    $\times 10^9$

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106#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A car maintains a constant speed as it traverses the ht0p/ oaygr*(m ill and valley shown in Fig. 5–45. Both the hill and valley have a radius of curvature R. (a) How do the normal forces acting on the car at A, 0 ( /p*atrgmyoB, and C compare? (Which is largest? Smallest?) Explain. (b) Where would the driver feel heaviest? Lightest? Explain. (c) How fast can the car go without losing contact with the road at A?

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107#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The Navstar Global Positioning System (GPS) utilizes a group of 24 satellite;neb pu;n8 9t,tv pgp-s orbiting the Earth. Using “triangulation” and signals transmitted by these satellites, the position of a receiver on the Earth can be determined to within an accuracy of a few centimeters. The satellite orbits are distributed evenly around the Earth, with four satellites in each of six orbits, allowing continuous navigatngpu bpet,;n9 8 -;pvtional “fixes.” The satellites orbit at an altitude of approximately 11,000 nautical miles [1 nautical ]. (a) Determine the speed of each satellite.    $\times 10^3$
(b) Determine the period of each satellite. =    hours

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108#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The Near Earth Asteroid Rendezvous (NEAR), after traveling f;c5h6w izjv-:yipuokmg w- 7+ e *ps-2.1 billion km, is mean5 imfu :piyz h-g6-+7jok-w;c s*vepwt to orbit the asteroid Eros at a height of about 15 km . Eros is roughly 40 $\mathrm{~km} \times 6 \mathrm{~km} \times 6 \mathrm{~km}$ . Assume Eros has a density (mass/volume) of about 2.3 $\times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ . (a) What will be the period of NEAR as it orbits Eros? $\approx$    $\times 10^4$sec
(b) If Eros were a sphere with the same mass and density, what would its radius be? $\approx$    $\times 10^3$
(c) What would g be at the surface of this spherical Eros?$\approx$    $\times 10^{-3}$

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109#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  You are an astronaut in the space shxe6my- dvv13/odu8v, mb 7i8w/evq khuttle pursuing a satellite in need of repair. You are in a circular orbit of the same radius as the satellite (400 km above the Earth), but 25 km behid vekd8o/bw8u/1 q m3mvv6y e,v-ix 7hnd it.
(a) How long will it take to overtake the satellite if you reduce your orbital radius by 1.0 km?$\approx$    h
(b) By how much must you reduce your orbital radius to catch up in 7.0 hours?$\approx$    $\times 10^3$

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110#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The comet Hale-Bopp has a period of 3000 years. (a) What is its mean distanvm*x8 s+cbzw42cgn3g * zs,;yrw +tpb ce fromzn*pgwvw c 2m,ztgys ;4* ++bxcsb38r the Sun?   
(b) At its closest approach, the comet is about 1 A.U. from the Sun ( from Earth to the Sun). What is the farthest distance?   
(c) What is the ratio of the speed at the closest point to the speed at the farthest point? [Hint: Use Kepler’s second law and estimate areas by a triangle (as in Fig. 5–29, but smaller distance travelled; see also Hint for Problem 59).]   


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111#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Estimate what the value of G would need to be iff rilt4b n;+8dy xl) jeief1.3 you could actually "feel" yourself gravitationally attracted to someone near you. Make reasonable assumptions, i8e4 xl lbi3)fnet. 1+f rjdy;like F $\approx 1 \mathrm{~N}$ .    $\times 10^{-5}$

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112#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The Sun rotates around the center of the Milky Wajn/z94njh0+ 9 e utmkay Galaxy (Fig. 5-46) at a distance of about 30,000 light-ymkj4/ 9jnh e0+untz a9ears from the center $ \left(1 \mathrm{ly}=9.5 \times 10^{15} \mathrm{~m}\right)$ . If it takes about 200 million years to make one rotation, estimate the mass of our Galaxy. Assume that the mass distribution of our Galaxy is concentrated mostly in a central uniform sphere. If all the stars had about the mass of our Sun $\left(2 \times 10^{30} \mathrm{~kg}\right)$ , how many stars would there be in our Galaxy?$\approx$    $\times 10^{11}$



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113#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Four 1.0-kg masses are 5;p3joqudyx0 h-h r +mlocated at the corners of a square 0.50 m on each side. Find the magnrp+5;hqu dmxh 3o-j0yitude and direction of the gravitational force on a fifth 1.0-kg mass placed at the midpoint of the bottom side of the square.    $\times 10^{-10}$   

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114#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A satellite of mass 5500 kg orbits the oh+(pn)u9 u(qvith *ie)7fxnEarth $ \left(\operatorname{mass}=6.0 \times 10^{24} \mathrm{~kg}\right)$ and has a period of 6200 s . Find (a) the magnitude of the Earth's gravitational force on the satellite, $\approx$    $\times 10^4$
(b) the altitude of the satellite.    $\times 10^5$

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115#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the acceleration experienced by the tip of the 6kluoh du8yk++/ l.t,8-i+ wifcng n ri-l.fv1.5-cm-long sweep second hand on your wrclfkl-frd8ig+o6+.i u /8,.ntl k yh v-u+n wiist watch?    $\times 10^{-4}$

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116#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  While fishing, you get bored and start to swingh xf* 2*2 yedp t53zbopm7bv.g a sinker weight around in a circle below you on a 0.25-m piece of fishing line. The weight makes a complete circle every 0.50 s. What is the angle that the fishihbb z3x 2y*pvm2t* o7efgd.5png line makes with the vertical? [Hint: See Fig. 5–10.]    $^{\circ}$

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117#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A circular curve of radius R in a ne82mime5:0(wdhtmi qe.w :inv+9ym rq w highway is designed so that a car traveling 0h( qyn9mem:dir 2wv:imq 5mi w+e.8tat speed $ v_{0}$ can negotiate the turn safely on glare ice (zero friction). If a car travels too slowly, then it will slip toward the center of the circle. If it travels too fast, then it will slip away from the center of the circle. If the coefficient of static friction increases, a car can stay on the road while traveling at any speed within a range from $v_{\min }$ to $v_{\max }$ . Derive formulas for $ v_{\min }$ and $ v_{\max } $ as functions of $\mu_{s}, v_{0}$ , and R .
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118#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Amtrak’s high speed train, the Acela, utilizes tilt ofupvro l k14eo*k0 ,7yg oh8y:m the cars when negotiating curves. The angle of tilt is adjusted so that the main force exerted on the passengers, to provide the centripetal acceleration, is the normal force. The passengers experience less friction force against the seat, thus feeling more comfortable. Consider an Acela train that rounds a curve with a radius of 620 m at a speed of (approximately ). (a) Calculate the friction force needed on a train passenger of mass 75 kg if the track is not banked and the train does not tilt.8rm04vyopo 7kgl 1,heu*yko: $\approx$    $\times 10^2$
(b) Calculate the friction force on the passenger if the train tilts to its maximum tilt of 8.0º toward the center of the curve.$\approx$    $\times 10^2$

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