Is it possible for an object moving with a constant speed to ack8rjry3a9a p - zrgc30celerate? Explain.crjr3-gpa893yk arz0

  Consider a particle moving with constant speed such kifudn1o9-f g0;w /w1ec i:ry that its acceleration of constant magnitude is always perpendicular to its velocity.0w;f 1ng i9y ou :-ewd/1krfci

  An object moves in a ci3,ajr1lga v+ rrcular path at a constant speed. Compare the direction of the object's veg jvl3 ar+ra1,locity and acceleration vectors.

  When an object experiences unifo 9fs7ppsr,gnm bk5m8;rm circular motion, the direction of the acceleration is r89,57mfp;m nsbksp g

  Consider a particle movin97rk x6 rhigo,ip *-* fptpw9dg with constant speed such that its acceleration of constant magnitude is*fhi pro*trd9pp7x6kg9i ,w- always perpendicular to its velocity.

  What type of acceleration does an object d5/.r,e6hfpnj foe5 gmoving with constant speed in a circular .hr6jdef e,op5/gf 5n path experience?

  What force is needed to make an object move in ae qno5 j,6+wh9kv+ltr,jvpb ev0li/ ) circle?

  When an object experiences uniform circular motion, the direction of the net fo;e(i) 75,fu iugpazvtrce i5afiu(ui7,pe t v; )zgs

  A roller coaster car is on a trac(ekgz+ v)e d0-e3 optmk that forms a circular loop in the vertical plane. If the car is to just maintain contact with tr(depm+e t-o)k3 z 0egvack at 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 that forms cz b1+/ ;cytby+q8kt 6gkaz(5tzsbs4a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the trq6+ 4;kb z t ycctskt51zy8bg bz/s(+aack at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical,t vf9 xp mu37yw8x.ea- gbws:9:zcd l dive then follows a semi-circular arc until it is going straight up. Justl9 xg.eas8v 9wy7z:mcdx up:f, -wt3 b as the plane is at 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 radiis8pz r.lqgf6 sc/ +i4o-tqvee6n-w8us $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of radius r at a cl7hx8x wja4s4o ipz:s- 1b,sconstant speed v. Then it goes around the same curve ascs j- pxwb7,i14 ozsx4l8a:ht half of the original speed. What is the centripetal force on the car as it goes around the curve for the second time, compared to the first time?

  A car goes around a curve of radius r at a conf 4 fn5pmhv+wk+qsn:/stant speed v. Then it goes around a curve of radiu45f +q: pwvsnf/hn m+ks 2r 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 of radius r with speed 16hrek7zd 7/zw j x-b;gruq9zv. If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal comp79gz -/;udrq xz1 k 7jhreb6zwonent of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are b.v yj2l mkz9b*anked 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 mjkb.*29yz vlthe safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is not b2;dqgt8l 4zqj* xmh4constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out of t 2qxmbd 8q;g*lh t44zjhe turn. Why do they do this?

  Is it possible for an object moving around a circular path to havv-xk3y5clr8 i e both centripetal andy8ri lc 5k-3vx tangential acceleration?

  The gravitational force between two objects is proportion;rs z:5quz ay fw *f;(:eoz.lxal to

  The gravitational force between two objects is inversely prop3z8ognqaf9a blq1- )jortional to

  Two objects attract each other grav4(h :dqfpt8er8d z kmy91gu7 fitationally. If the distance between their centers is cut (y grhf19m8ptq4f e8zddk 7:uin half, the gravitational force

  Two objects, with ma)db ;jw2u ;m1j/ffr9g kmwxh. sses $m_{1}$ 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 masse.ln;ey. .o bpis $m_{1}$ 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 universal gra9oa63 h /cwfpvvitation.

  Compared to its mass on the Earth, the mac;.ao*p ,xcgg ss of an object on the Moon is

  The acceleration of gravity on the+t0ze4;ogm p9 uf x;np Moon is one-sixth what it is on Earth. An object of mas4g9u0eo p;;n ztfpxm+s
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket's weightfr)qhofaj fc-36ijprs0. m 09

  A spaceship is traveling to the Mooya y l) t(:ls mu j))-z2z56yjaw.kbayn. At what point is it beyond the pull of Eartm6wu.yjl -s z5tyyk jay2 ) )la:z)ba(h's gravity?

  Suppose a satellite were orbiting the Earth just above the surface. What is f uxuuy ey( ag,khs8 3/gz1;)wits centsyuyk83u/hgx);w 1e,u zfga (ripetal acceleration?

  A hypothetical planet has a mass of halfi07r2u4ykp 4gz: nvdx that of the Earth and a radius of twice that of the Earth. What is the acceleration due tozdivug44 7p 0:xkyn2r gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon w:4 yoo vgkt,w::rz+eis one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass:ezvg 4 trkwo+wy, :o: compared to the Earth's?

  Two planets have the same h+:faxi56 gr8cxa o qvgg:7yia9-a)gok q. c5surface gravity, but planet B has twice the radius of pla a)fa-9rx.: 6 qo qaoh+gvx5ka g :cigcy57ig8net A. If planet A has mass m, what is the mass of planet B?

  Two planets have the sag hzzsu:,4snn2 - ;rwume surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of pl;zu z : srn,u4whs-g2nanet B?

  Consider a small satellite moving in a circular uc,g/o 2g k23j(lccve orbit (radius r) about a spherical planet (mass M). Which expr(2v u ,lgc o23/kjccegession gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotatedvq9w;97cj+ 5ijd iq ds in the same orbit. Compare the two satellite's s dci7 d+w ;q5jqijv99dpeeds.

  A person is standing on a scale (dx6 lyhv uz c-6l7nlyd*6k;p in an elevator accelerating downward. Compare the reading on the sh z xc*ylkl6lu(d-nd66 y7;pvcale to the person's true weight.

  Who was the first person to realize that;/y7vmzzpxk q 5o e24e the planets move in elliptical paths arouov e/7 4 xmzzq;5yekp2nd the Sun?

  The speed of Halley's Comet, while travelhh (cscp+1g: *ctbh dxozob4()) pv7eing in its elliptical orbit around the Su4b )gsho1et:h* ) h op7d( vbzcc(p+xcn,

  Let the average orbital radius of a planet q aqz7*pdpgaj 13j0.k be R. Let the orbital period be T. What quantity is constanq0j* gqdzak7aj . p3p1t for all planets orbiting the Sun?

  A planet is discovered tor jx8ahx ;(.xu orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, compared to the Earth's orbital periox(.;j8xru xah d?

  The average distance from the Earth to the Sun is defined as one "as+;lazq gxk0(g tronomical unit" (AU). An asteroid orbits the Sun in kxqg; (0zlag+ one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws. ,mob1u ;zyf(ptj2* fx

  List the four fundame+y1g8 cpbu- 8jw2ceip ntal forces in nature.

  An object moves with a constant spe - pns-(x:se ukx,wpnb8b3m,l ed of 30 m/s on a circular track of radius 150 m. What is the accelerationnxs,xp,m8 -( 3 k:bb epul-wsn of the object?

  The maximum speed around a level curve is 30.0 km/h. What iu.3ji o al );x224e4wtzncppis the maximum speed around a curve with twice the radius? (Aa443;c2lj) znwepptx2iui . o ssume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perim wmzmbv.265rjeter of a bicycle wheel of diameter 70 cm when the bike i 25rm 6jzmvbw.s moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axi8d-swovn7z1 )::hh ebdy2li ;j j5yc vs. What is the centripetal aclh8v eo 2cwd z jv;5j:y-yindb )7h:1sceleration?

  How many revolutions per minute must a ci +q.igy b6r7 1jk-ygqvrcular, rotating space station of radius 1000 m rotate to produce an artificial qr-.ybv gi+yk6j 71gq gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radnxkl6gyyq4sh -g3 x9lz/d0 i6ius turn at 96.5 km/h. Whygdkxgy/ xi6 4 nl3lq6 -s9h0zat is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The sy 5 1s tyejc6y4z(lbox:zjxh).stem is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximum spez6yx(jlt: 1 scz)xyjh .obe54ed of the mass if the string is not to break?

  A stone, of mass m, is gy+r:l h8u(zer(9dso attached to a strong string and whirled in a vertical circle of radius r. oy(+ r8dsu hlzegr(9: At the exact top of the path the tension in the string is 3 times the stone's weight. The stone's speed at this point is given by

  A stone, of mass m, is attached to a strong string and+ bx*ad y62led whirled in a vertical circle of radi6d+de*l2 xyab us r. At the exact bottom of the path the tension in the string is 3 times the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulling ouc,(y9u(3q iyx ojnrs1t of the dive. What is the radius of curvature of the loop iox(s,1ju9i cyn (r3q yn which the plane is flying?

  A pilot makes an outside vertical lous**p vsv 8s8eop (in which the center 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 on8 s8sves pv*u*e-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weight. Wha. 86 ckrovkk7tt is the minimum radius of curvature that a jet .k8koc kt6vr7plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tires 7r n**dd*pz pasu6wd dirt.r7ok)vz7r 4g ,(qon 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 crk zd ud.4tr6*aiv rwgdp**7o(z) ,s qn7rdp7ar's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 -i m 8lk(4+sryktnm m0m with a speed of 20 m/s. The centripetal force pr80snktymm+lk i(r4m- ovided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of)kiu03are+hy :bm9ki 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 car to make the h 3a )i:rbkky9m+uie0turn?

  A car is moving with a constant speed v around a level curve. The coe*oc2h ;j embf9/r2ja9. dl ntefficient of friction betwbre ojc2ea*ht;dn/ j.929f ml een 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 rek fl+wvs ser9;w e9q9 he8l*s1h*.swcquired for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore fr9s;k w fws1 *hece9q*8svlsh+9e.wlriction.)

  A horizontal curve on- rzw+mn5 yx +gv59dxm a bobsled run is 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 radium6b9ulvg9 r/ny:vni;s 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 rlaan5m vsf ;kb-x2p5;hd/iv 7l+h: km is banked 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 unifoeof15o w2bei* rmly in a horizontal circfi25 wooe*b 1ele of 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 pit area, a race car (i kxh dc.g ig25*)wbcpsy0a0accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track o.a)bg2xg ky0cpd0w5*ihcs ( if 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 proton of mass z+x 98io: bkhwzv6;mi$1.67 \times 10^{-27} \; kg$ 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 70-kg person standin:whmu)b0s 4j wg on the Earth, due to the Moon? The mass of th4s)h0 ujw:wmb e Moon is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two z(i d7ppsmt.-s 3g2og masses is F. If the masses are moved to half of their initial distance, what is the gravitational attractivpmgo tigps s(3z7.-2 de force?

  For a spacecraft going from the Earth toward the Sun, at what distance f.. del6g eror qypk;g:ojt*h.y *2 i*vrom the Earth wiil*.*g*.g et vy;kd py:oj2ro.h6erqll the gravitational forces due to 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 * rtvwn ,iz8y;$7.4 \times 10^{22} \; kg$ 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 thk)4u dvid;w 5xiu2*x wkm+qcd( e1j/h e Earth equal to the radius of the Earth. What is her acceleration due to gra( 5k xx2u4v/hjddwci iudk*) +q1;ew mvity?

  The radius of the Earth is R. At what distancebyoy.3lqzf iqa*3 */ u above the Earth's surface will the acl*/zoiq 3fu .y y3bqa*celeration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance q-v oh)lz.+ odk-lyi5wi5 1joabove its surface equal to 3 times the radius of Mars. The acceleration oq l z o5li.i5-yoo) +j1kv-whdf gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from s 5wqp9ji,:v2c p-iqts ome planet's center, the acceleration of gravityqiw v95 ,q:sjc-tipp2 is $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface o rm7d,qy9i2co)c qu r6v d+x(qf the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surfaceq dy qmcudiv)2 o9c6,(7+ qrxr, what is its weight?

  By how many newtons does the weight of a 100-kg person change when he jk1k q 01v29bg3bciqvgoes from sei3vb 0bc2k9q1gv j1kqa level to an altitude of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite 8ndkgom4d5q uie.;. kx nar7,of mass 100 kg is at a point 3r above the Earth's surface. What isi7 d8.u e gkq,k;mrn4xao.5 nd the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and twicei9 7v zhf7ch0gyy 2ixv :b(ano3h/ fr7 its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on th/bhynv7fcxfo y :hi r2(0 7gh9aiz7v 3e surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all li nvkxpv*oe7xl wjbv5.c 7g(-5 e on the same line, with the Earth between the Moon and the Sun xlxwj -7e5vkcp*5vb vo7(n. g. 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 transported to the Moohp))k mvnb /4zn.
(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., imig-8iyjf77. a rz 0ejt just skims the surface of the Earth). What is the speed of the satellite? (The mean rai-077 f.jjm rga8zei ydius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth(w+xbu t a5;z jb*95xu,rnj qs (i.e., it just skims the surface of the Earth). How long does it take 9;r, u aqbwb5 +zxjnj (sx5*utto make one revolution around the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of the Earth. It isj 9ra3kf,s3f:fe1wy6x zz v d: observed to have a period of 89 mi,fy zwz r3a6sv3dj 9kf:1f:xen. What is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orj4 rk,mx .0xqvle ,l3xbital diameter 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 g5:ij- a4uli52c9e 2 mgvespnorbits the planet 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 neary )yrz)mvkct6 o1e,w3ly circular orbits. Moon A has orbital radius r, and mo)kz m e wtr1)oy6y,3cvon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isnzh6 oa- zo 24l:fge:o $7.78 \times 10^{11} \; m$ 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 orbit the Sun once. Whatsdz4c /zz8z 7+xek5ox(lnx w / is the average distnxe4/ (/lx+o x k zswc85zz7zdance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)