Is it possible for an object moving with a constant speed to acceleratyxdbq:9 ltrx3 x-r4.zc4epwb *r*s c)e? Explain34 xr qcezwdr t)xy.s49xr* :*bl-b cp.

  Consider a particle moving with constant sp , 9jxm:+q)k*jmqlsb ceed such that its acceleration of constank ,mm+qb )*jxjqs9 c:lt magnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. n1mh u8ys.g-g Compare the direction of the object's velocity and accelerati-g8g. su1nhmyon vectors.

  When an object experiences uniform circular motion, the direction of twetjb 8:;m *dwhe acceleratietb; w8dw*mj :on is

  Consider a particle moving with constant speed such d. uhnjt7:yaq cbnj 4b ji0m5 a0(x1v7that its acceleration of constant magnitude is always perpendm7 ncqajaxn y5bid .:hj104u7(t0b jvicular to its velocity.

  What type of acceleration does an objeczu + -eji3umcov.pl 9(.xm:5fz*q zyht moving with constant speed in a circular f h9l . 3vzzi:(m.yz u-jc*xqm5op+uepath experience?

  What force is needed to make an object move in a s-).ik 7ye l jl)v rew1;zc9hycircle?

  When an object experiences unifo7g i1a c.3.)tpvkuv mgrm circular motion, the direction of the net force .1m.pvcauv itggk) 73is

  A roller coaster car is on a track that form*dp/r ;.zwn-.jidq a.ky h5ems a circular loop in the vertical plane. If the car is to just maintain contact with track - kedy .jzm5n qda/*ip. r.;what the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track thatq(qbuv75 nsp04j 6ia z forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the tra0v5(zj7 pi qas6nubq4 ck at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circzj5 *.krj xw u:,v0ya 3.ssjjcular arc until it is going straight up. Just as the plane is xj0*z:5wc.j jjr uy,.s av s3kat its lowest point, the force on him is

  A coin of mass $m$ rests on a turntable a distance $r$ from the axis of rotation. The turntable rotates with a frequency of $f$. What is the minimum coefficient of static friction between the turntable and the coin if the coin is not to slip?

  A car goes around a curve of radiuscouafu8+ gi 4aqc yb/ sc/0)9m $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of*ljpb zd+ mo/8 radius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal force on the caojdlm z*8/b+ pr as it goes around the curve for the second time, compared to the first time?

  A car goes around a cudc bkflaj93 .dz*(eh. rve of radius r at a constant speed v. Then it goes around a curve of radius 2j(e3fkd*a c.zd lh .9br at speed 2v. What is the centripetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve 8b50ks z36/uhim9t,iena utj of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal force on the car from the road6t,ikzhe/nu 0u bm8j39its a5 is equal in magnitude to

  Two horizontal curves on a bobsled r)ymi pf2v,ps +ilm .j);l*ghz*vlg s.un are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radius curve is v. What is the safe speed ogpm2 l)y+i* )ghlpmj .*fs vz siv,.;ln the larger radius curve?

  The banking angle in a tu nt3 z9ctvf(w3d,eb(j rn on the Olympic bobsled track is not constant, but increases upward from the hov,b9( n( 3fjttezw d3crizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around34nqy8.ktir6r 4td av a circular path to have both centripe3 k4r 4rni.avty td6q8tal and tangential acceleration?

  The gravitational force between two objects is2s q6-sjo*dpqbmtij 87syd4* proportional to

  The gravitational force between t ycm53xu3o3 gywo objects is inversely proportional to

  Two objects attract each other gravitationally. If the distanca i x2cwvrb/5z 4c-nk0e between their cenccak/n2 5wb4zx- i0 rvters is cut in half, the gravitational force

  Two objects, with massi4gd amqi hjiv, /bcu,s:1 n60es $m_{1}$ and $m_{2}$, are originally a distance r apart. The gravitational force between them has magnitude F. The second object has its mass changed to 2$m_{2}$, and the distance is changed to r/4. What is the magnitude of the new gravitational force?

  Two objects, with massesh vu-u,6o5xsz2r)hch $m_{1}$ and $m_{2}$, are originally a distance r apart. The magnitude of the gravitational force between them is F. The masses are changed to 2$m_{1}$ and 2$m_{2}$, and the distance is changed to 4r. What is the magnitude of the new gravitational force?

State Newton's law of unive gl26oz,s(v/rms rbr1rsal gravitation.

  Compared to its mass ow rzpxbxg o ce,+((0hyc9 -:giz/:)8hyixa amn the Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is zbia l42:n(nh(g-c cppoa3 /oone-sixth what it is on Earth. An object of mpa(p2(: nib-aolz / 4chg ocn3ass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rockeom5ux, ex/5nmk/l vz .t's weight

  A spaceship is traveling to the M5tz/ b ;7wn9zq,dn7vl. cjdv voon. At what point is it beyond the pull of Earth7 .wn9 ;bldzvzqv/ ncdvj75t,'s gravity?

  Suppose a satellite were orbiting the Earth just above r vt6f.vu: /04l xx dzi2mdsh0the surface. What is its centripeta it x0z:d.sfdl46rvxm0 v/hu2l acceleration?

  A hypothetical planet hamcc;( p;q f )cj hl:vk yvy1;0 sw9e1sb;o0bevs a mass of half that of the Earth and a radius of twice that of;kw9; fvmp; 1v0 h:qo vsb);scceb(yjey lc 01 the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on (ivp 69v;4d4kob ey (cy(efmmthe Moon is one-sixth what it is on Earth. The radius of the Moon is onecd yfp e(i m49;((6yobve4mvk -fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B h9ph );xae-, m; dmxkqaas twice the radius of planet A. If planet A has mass m,aq) ,;ehpmdka-mx 9;x what is the mass of planet B?

  Two planets have the same surface gravity, but planet f y:-ldceqn0 t i*2:wm 0nqsq:B has twice the mass of planet A. If planet A has radltn*cw i:- n:d0qm2f0qs :yq eius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a )hp r(*tqwz2 k3km vf7spherical planet (mass M).z hp(m2qk 3*kf wt7)rv Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same or e2o j /e5qp o22xlee;+hxf7kobit. Compare the two e;+xj/h koo7qepl5o222x eef satellite's speeds.

  A person is standing on a sczcnxsdw / 1h iy/6r;ue:8 f4wxale in an elevator accelerating downward. Compare the reading on the scale to the per/6rw ; uyf:es /whzcxndx481ison's true weight.

  Who was the first person to realize that the planenwio 6urp1d-wu: qg)3ts move in elliptical paths aroug)w r1-u id puo6n3q:wnd the Sun?

  The speed of Halley's Comet, while travelin ,sd x 86pi;g0dxa*uegg in its elliptical orbit around the Su *6es,;ga xgid8x0 pudn,

  Let the average orbital radius of a planet be R. Let the orbq2a * nfn9ztb:xzun,ch 6k53fital period be T. What quantity is constu x: 9fkczn 3t ,2n*ba5zf6hqnant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromee4z.wm k m0:lhda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sulmm 4e.0h: wkzn, what will the period of revolution of that new planet be, compared to the Earth's orbital period?

  The average distance frosk b cib)xv*f5e003t hm the Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. Whax)5t sbchbve*3 0 fi0kt is the asteroid's average distance from the Sun?

State Kepler's laws.5itjep11 *1 r omw.guo

  List the four fundamental forces in bp )7)l x9uzxe5ugj/7k7 bx(ile7pz;u 6zi scnature.

  An object moves with a constant speed of 30 m/s on ag(2 j yd2piry ;s-tuz; circular track of radius 150 m. g2usj-td2;pz(ri;y y What is the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum s/ 2m-1i e1ygbx5ql rucpeed around a c/y1 ergcq5luix bm-21urve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal accj6()48 srj(yxy1g8 yanror lb eleration of a point on the perimeter of a bicycle wheel of diameterrygrx 8( 1y 8rjl4oj)b6 nasy( 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is locat)( na o2vl+/0 lk8lmuttr ;mcged 0.200 m from the axis. What is the centripetata2 nkuo(/l lrm;t c08+l)g mvl acceleration?

  How many revolutions per minute must a npswzs+k/zhj0;gs + -lav8.v circular, rotating space station of radius 1000 m rotate to produce an artjg8+hw v l0.-;pz/n+av ks szsificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of mkju74;cp,d* x3bno9se0nwh 6i +vo d 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on dionnwhkjm eu+*; 4p, v 7x03cos9 db6the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. Theyr;x: b/e0 a*hql20e:s0v a fpurr pq- system is whirled rvr0l-hr2fq q/;asu* pye:x0pe0a :bin a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a stro6 e79 fp3bzpb1rx8pg mng string and whirled in a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight. The stone's spee17 3 b rm6b9pge8fpxpzd at this point is given by

  A stone, of mass m, is attached to a strong6az-r20:swoq8 vugi/ jky t+m string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times the stone's weight. The stone's speed a -iu:zj0k o 6vtw2ygs+qmr 8/at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulling out o z n r0( vrdj:u0ae)s-1dwld,sf the dive. What is the radius of curvature 0udn esvwd (0-s1aj ,rd:l r)zof the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the c7kp hr bwp3,y4enter of the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat with only one-half of his normal weight. How fast is he gow3rbkyhp4, 7p ing?

  The maximum force a pilot can stand is about seven timhzi 26fe ;w,ls, 1eb4,rfcwat1kwny6es his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at afintz,14c,66ywew ha; ke2b, srfwl 1 speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m nx12 d.aw59i /ipd cudradius horizontal curve with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficient of friction between the car's tires and eachiapx9nuw/c. 1i2 dd5d road surface.)

  A car is negotiating a flat curve of radius 50 m with a speed of 20 m/hx+lfb)x q0o l;1w6bd s. The centripetal force provided 0;xxq1 hbwo+d6lf )bl by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curjxs fxh f-)9(kj6 a5zll2x+n/ awo2ybve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the cafah z)wnb +9/jx-sk6(fyl x2 oxja2l5r to make the turn?

  A car is moving with a constaed0+0 we: ibwbnt speed v around a level curve. The coefficient obbe0wi+e w 0:df friction between the tires and the road is 0.40. What is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to negotiate at/7 9oqi0vopf 100-m radius turn a/op0i qft7v o9t 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run i j qel5lpua7ku u (52j7etbcd8a/w-z.s banked at a $45^{\circ}$ angle. When a bobsled rounds this curve at the curve's safe speed (no friction needed to stay on the run), what is its centripetal acceleration?

  A frictionless curve of raoioku0)z, h oj0xwq0z:5 v c1rdius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is +pt:r q,kgryh)y6 e1ibanked at $45^{\circ}$. Suppose that an ice storm hits, and the curve is effectively frictionless. What is the safe speed with which to take the curve without either sliding up or down?

  A 175-kg ball on the end of a string is revolving uniformly in a horizontal cireshql1: y1r a;cle of rqly:es1;a1h radius 0.500
m. The ball makes 2.00 revolutions in a second. (only fill in numerial value in the blanks)
(a) Determine the speed of the ball.    $m/s$
(b) Determine the ball's centripetal acceleration.    $m/s^2$
(c) Determine the force a person must exert on opposite end of the string.    $N$

  Starting from rest in the -em hcyh+l 8 kzxal,;(pit area, a race car accelerates at a uniform rate to a speed of 45 m/s i+ex l,zy-l8amh ;kh c(n 15 s, moving on a circular track of radius 500 m. (only fill in numerical value in the blanks)
(a) Calculate the tangential acceleration.    $m/s^2$
(b) Calculate the radial acceleration when the instantaneous speed is equal to 30 m/s.    $m/s^2$

  The hydrogen atom consists of a yfa)oim1z) r6proton of mass $1.67 \times 10^{-27} \; kg$ and an orbiting electron of mass $9.11 \times 10^{-31} \; kg$. In one of its orbits, the electron is $5.3 \times 10^{-11} \; m$ from the proton. What is the mutual attractive force between the electron and proton?

  What is the gravitational force on a 7ar 9no4 5;: 1osnhmj6 7t(koot mksa,r0-kg person standing on the Earth, due to the Moon? The mass 1as,h ton5;ono:r mjta796ok4 s( kmrof the Moon is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attract0 gkjni4jk8zi:ncv*v3 x d+p(ive force between two masses is F. If the masses are moved to halkdk:pjcv ( gi80x3+znv4 jin*f of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward thei/ lb7 f+1 l5crejmp20ig ovq* Sun, at what distance from the Earth will the gravitational forces due toi+lrvi0c * 7/51ojqlm 2ebp fg the Sun and the Earth cancel?
Earth's mass: Me = $5.98 \times 10^{24} \; kg$ the Sun's mass: Ms = $1.99 \times 10^{30} \; kg$
Earth-Sun distance: r = $1.50 \times 10^{11} \; m$

  The mass of the Moon is+8*eb0 onvytxw xa +g9 $7.4 \times 10^{22} \; kg$ and its mean radius is $1.75 \times 10^{3} \; km$. What is the acceleration due to gravity at the surface of the Moon?

  An astronaut goes out for a "space-walk" at a distance above thehza+- z(ts0l31nsev z Earth equal to the radius of the Earth. What is her acceleration due to gravi+nz( zh-teaz10 ssv3 lty?

  The radius of the Earth is R. At what dizxtw rzbe8kp3;37bw35xq9 vr stance above the Earth's surface will thev p zbz3k3rqb8x9w3x57r e; wt acceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at ai0s9)l6frhh q4 b v2bl distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration off)4iqr0hv ls 2h 6lb9b gravity on the surface of Mars, is

  At a distance of 14000 km hqt7 p2pjdrrb:(cc4 . from some planet's center, the acceleration of gravity isjr rc: 24p cbdt7.h(pq $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface of the Earth. The Earth9 ,gw 2b1x20jvfwe cig has radius r. If ti 0g w2wex c2gvf,1b9jhe object is raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person chanv 3xmutl 37ao)yx(n2dge when he goes from sea level to an altitude of 500 3admtnv)7lyo xux23( 0 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at;m ,(q)r2s6adku1zi kwxsx ,x a point 3r above the Earth's mw,6,a12d kx qs s(rkuxizx);surface. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass an + yu(,jurc ocy 0wrsi,8pqd26hj tv8.d twice its radius. If a jar of peanut butter weighs 12 N on yccis,jrturu6h8w(,q o .0+ 2y8p vjdthe surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, b xt;y:8soka*eb.mr7sa q 43uEarth, and Sun all lie on the same line, with the Earay3 etx .s:smbk;r aqb4u78o*th between the Moon and the Sun. The Moon has a mass of $7.36 \times 10^{22} \; kg$; the Earth has a mass of $5.98 \times 10^{24} \; kg$; and the Sun has a mass of $1.99 \times 10^{30} \; kg$. The separation between the Moon and the Earth is given by $3.84 \times 10^{8} \; m$; the separation between the Earth and the Sun is given by $1.496 \times 10^{11} \; m$.
(a) Calculate the force exerted on the Earth by the Moon, its magnitude is    $\times 10^{20} \; N$, its direction is  ----待选择----towardsaway from  the moon.
(b) Calculate the force exerted on the Earth by the Sun, its magnitude is    $\times 10^{22} \; N$, its direction is  ----待选择----towardsaway from  the Sun.
(c) Calculate the net force exerted on the Earth by the Moon and the Sun, its magnitude is    $\times 10^{22} \; N$, its direction is  ----待选择----towardsaway from  the Sun.

  A 2.10-kg brass ball is 3 ).wtf92eoca nc9ti)ynhcb0 transported to the Moon.
(a) Calculate the acceleration due to gravity on the Moon.    $m/s^2$ (The radius of the Moon is $1.74 \times 10^{6} \; m$ and the mass of the Moon is $7.35 \times 10^{22} \; kg$)
(b) Determine the mass of the brass ball on the Earth    $kg$ and on the Moon    $kg$
(c) Determine the weight of the brass ball on the Earth    $N$
(d) Determine the weight of the brass ball on the Moon    $N$

  A satellite is in a low circular orbit about the Earth (i.e., it just sycwcg+)v8 f b2kims the surface of the Earth). What is the speed of the satellite? (The mean radiu2+yc8c) fbvwgs of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Ear//.0zht tn utkth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The 0z.tt //tnkuh mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbic1l elt0*h/hnt 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? nec0/l*h 1hlt (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diamelpm otb0 67jl3 f2ceh2ter of $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits the pla1p- 4vr ct0ezpnet with a radius of $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planet in nearly circular orbits. Moon A has o:lk6e0xdgef3s47g bi rbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How lo637legis0:bd4 egx fkng does it take moon B to complete an orbit?

  The planet Jupiter isrr4o azmq5xu 4) 2bhl4vmi+c5/eo8 xp $7.78 \times 10^{11} \; m$ from the Sun. How long does it take for Jupiter to orbit once about the Sun? (The distance from the Earth to the Sun is $1.50 \times 10^{11} \; m$.)

  It takes the planet Jupiter 12 years to or g.dku5(nyd2s dx/9hy bit the Sun once. What is the average distance from Jupiter to the Sun? (The di/y .dh5y(u dxd92nsgkstance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)