Is it possible for an object moving with a constant speed to accelmppel8)y)qm2 pq3;0(g w jw(ctuhiaykzs+ : .erate? Explain.esw0 qkq2 cz3.w+(gm:yaljt;im8 phpp y( u))

  Consider a particle moving with constant speed s ow blius6k.xnwh 1:06mt-ji9uch that its acceleration of constant wtblih90 okx1usj n w.im:66- magnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant6vs6pl8/tlr1 a8tjtq c ia* *o speed. Compare the direction of the object's velocity andlt t/v86lr* 1ai a6jsopqc t*8 acceleration vectors.

  When an object experiences uniform circular motion, the direction of the accelex m( lsm.t+l8rp0zs(urati80uss ((pmrt .lm l+zxon is

  Consider a particle moving with constant speed such that its acceleration; :vjgw,. +vq n) sujto1:kitc of constant:;qj.u ovw tk:) sng+jit 1vc, magnitude is always perpendicular to its velocity.

  What type of accelerb1r7qtrl-;szxv0: einxq9*vjk 0 p p 5ation does an object moving with constant speed in a circular ip0vl51x90en qqv *: krxjt ;sbz7-prpath experience?

  What force is needed to make ol;qqgek qzr*t;0j8 5an object move in a circle?

  When an object experiences uniform circul 7tuud6nne/o+ar motion, the direction of the net force i/u6o+7en dunts

  A roller coaster car is on a track thae8 gj dvx2u22at forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the mie xd2v2u2gj8animum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that.lk1 r th* ,uqzba *kx/mghz1/ forms a circular loop (radius = h*tlg uzr*1am/kxh.k z,1/ bqr) in the vertical plane. If the car is to just maintain contact with the track 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 se0a5x (r.23zxlgf66 8 kxozr yv)hpdnf mi-circular arc until it is going straight up. Just as the plane is at its lowest p0pz2gr( dov6.x)frl6y8f k35nz h axx oint, 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 w3d2 s j 1cnlbf,)bad.pp9 /07evwcsjcurve of radius $r$ 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 constant speed v. xyu,--n9 gyy -gcid.f Then it goes around the same curve at 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 t,y .-nydfyiggx-u9c -he first time?

  A car goes around a curve of radius r at a constant speed v. Then 9gjy*flk u(ya+ u8 :kdit goes around a curvej9* l8daf g yk(uyku:+ of radius 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 v. a0bs llz8 q7/p If the road l8 q7ps /ab0lzis frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are bankq)du u(i vvjaqeh d*.m)f5 74led at the same angle, but one has twice the radius of the ot) m47uv.)ja*hqd le vfq( 5duiher. The safe speed (no friction needed to stay on the run) for the smaller radius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobard / /.mcgt47j tle:ssled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out of theal/j. mc re d:g4/s7tt turn. Why do they do this?

  Is it possible for an object moving around a circular path to have both cent6s)y pv bk;w*hyn ae0p0h hu9,ripetal whse,;p y )pahu09*0n6ybvhkand tangential acceleration?

  The gravitational force between two ob.xt h-9xqp7b3 g1y u4oozw) wrjects is proportional to

  The gravitational force between two objects b teh/fkm pc))+9h 18 uhmp7rsis inversely proportional to

  Two objects attract each other gravitationally. If the d8ljy geeq2z jt1:)jt8 istance between their centers is cut in half, the gravitationalj2 j1ey8t8z: )gel jqt force

  Two objects, with masses .ty6/j )kaqm.rww fq 3$m_{1}$ 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 masse52 .j mx2t1gwzlql mq/s $m_{1}$ 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 gravitation.i*78kw plg:v: uc,:r1awme as

  Compared to its mass on the Earth, th+mp /x05 w/png*u7yveqrxif u pd0 7o.e mass of an object on the Moon is

  The acceleration of gravity on the ei.r69kami 6 t : :ars4/bgrc63y d,ios2lddp Moon is one-sixth what it is on Earth. An object of mcdora 6d/ii 4rds 66,igr9.y:2pkt:3eml absass
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 weight3phjox kki ye(*s 1fddt03y3.b , .sbc

  A spaceship is traveling to the Moon. At what point is it beyond the pull of Eaz-lvdfum* n k*+n o4(lrthomfv4 k-ldunn * l(+z*'s gravity?

  Suppose a satellite were ovn x )bpjc5 -;h+dbb76bjs d+orbiting the Earth just above the surface. What is its centripetal accele7cb+o+sdv h;bx 6jdnb5p-bj) ration?

  A hypothetical planet has a mass of half th0ox6et2s wrnubo+nd, 0,ge 9b fb.)br at of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity 2r b0 ex6b0do, +ngo9.suwt)ebnr, bfat the Earth?

  The acceleration of gravi, *8pnt pl lq -ememhtknsz6(x9*zj6( ty on the Moon is 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 compared to the Earth'sjelm6snn 6*9-pe kpz8( ( qttzxm*,hl?

  Two planets have the same surface gravity, but planet B has twice the m 1lky.no0 l+mradius of planet A. If planet A has mass m, whatknm +0o1y .llm is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice the massbr -.:7hbajm lmri aaq+; -;da of planet A. d;b ab h7.a+;-rlmj-q aima:rIf planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius 2;0ouucttrz ( o1t;qn r) about a spherical planet (mass M). Wh2u0ont 1;(rqtuozt c; ich expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same e8rt*(vnj 2 uo4ng9amorbit. Compare the two satellitrugn eojv2m8 49(*ant e's speeds.

  A person is standing on g7b wbto5b, x7qtz13q)9 w se1 1zswxia scale in an elevator accelerating downward. Compare the reading on the scale to the 71qzsbi q gob17 e 53xz,xwt)t sww91bperson's true weight.

  Who was the first person to realize that t44 sp,fk9 9bzuyrcf;o he planets move in elliptical paths around the Sunc r,oup;4bzfsk49 f 9y?

  The speed of Halley's Comet, while traveling in d8wfq 9g9z-p x.etir1its elliptical orbit around the S-1d tr8 wf9qz i9p.exgun,

  Let the average orbital radh: 3azsev3 s+gpzzigegr/y/v a3p c61*u4k1 iius of a planet be R. Let the orbital period be T. What quantity is cz p4 1*/v gucvii6h pag1sre3z:+k 3esagzy/ 3onstant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromedao .pxv.qo6kp f7g+q c0, 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 revo.pq6xfk qo g 0p7v+c.olution of that new planet be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "astronomical umjblje, t3)z7-p2vl onit" (AU). An asteroid orbits the Sun in lj)3v7,toem -zj2bpl one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.dk63q(s .mcx ;jb22zl2 fn, 7bkuapr c

  List the four fundamental forces in natvb e)stfaqkj*94 j 3crv94rh3ure.

  An object moves with a constant speed of 30 m/s on a circular track of radius xifjz669qswcg gw- 5 )150 m. What is the acceleration of the ogqfjz-)c6xiw 56wsg9 bject?

  The maximum speed around a level curve weuho : h6r5,po(aw. qis 30.0 km/h. What is the maximum speed around a curve with twice the radius? (wa6 5. ,eo (rq:wphohuAssume all other factors remain unchanged.)

  What is the centripetal 6 yh ogy3+o2i9 -z ucvun;dr5uacceleration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0 m/nd6y2uviuz o9o-rh3c;+5u yg s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axzx e)x..h 4xyymi k-joau(+k lnws-5+elh3r 9 is. What is the centripetal acceme+nalr iy+ ).kzuxl-xe 95yk4jx-(3shw ho. leration?

  How many revolutions wbzotcrt61c +x08fpgzo 5.34o 6ofeg per minute must a circular, rotating space station of radius 1000 m rotate to produce an artf0t 6g+6o4p zrwoc ogc x1f.85z3etobificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m rami35mkx 0mj;+tnne4 h rkvc-odkv234 dius turn at 96.5 km/h. What is the centripetal force on the vn5; rtknkkv d+oh j0ic x mm3e43m24-motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The syste hd kb48/vddqhah6-; :np, idqm is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximum speed of the mass iph;d vd8kq/nih6qa b 4-dd:h, f the string is not to break?

  A stone, of mass m, is attached to a stroclg.r w/9qe2f ng string and whirled in a vertical circle of radius r. At the exact top of the path the tension in the st .rcge9qf/l2 wring is 3 times the stone's weight. The stone's speed at this point is given by

  A stone, of mass m, is attached tgw,g5y 0pws w20z0 heyo a strong 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 at this point is given byyzsg ew5 y0ww g2p,0h0

  A jet plane flying 600 m/s experiences an acceleration of 4g when pullin5zi(mlxq6blzd .*a 8bh ;wi +zg out of the dive. Wh6b b wmaiz+hilx q.z8 *;l(d5zat is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop is benea; ao(a*f, pgfyth him) of radius 3200 m. At the top of his l *afyg,pa(f; ooop he is pushing down on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weigl75prudr /3sjtk3p p j- 1*wzrht. What is the minimum radius of curvature that a jet plane's pilot, pullingp53r1w*3sjudprz7tlrpk -j/ 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 horizontalwp(svrs(bi 3 . 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 eachv(pssi w(3 b.r road surface.)

  A car is negotiating a flat curve of radius 50 m with a speed sylwq7 rv*5 u)rz(d 2fof 20 m/s. The centripetal force provided by friction7wry (lz*f5)2rsq dvu is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 50 m at a speed of 14 m/s. What+8xrt xfa3e(0r1dw cm must be the minimum coefficient03f1xcwr+xte( r 8dma of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v around a level curve. The cx4;+wulzdi n/(bsat:zm 3 y c;oefficient of friction between the tires and the road is 0.40. What (;d ;wt 4cb sml+nzy/: uiazx3is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking an2v /, mh1q mkbk r;jgr34cgdpaf;/f-ngle is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore frictionpg/21ar; f/k;jmhq 3g d-4vbc,kn fmr.)

  A horizontal curve on a bobsled run is g) c-l,mu: 9bxz tac2dz,tc:y 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 radius 100 m, banked at an angl,pspsf 0o+:xnx9/++ z aojjdhe of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80z7g5exn).j,e ;dfa.rd wii* n m 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 revolvinb3ea,bxbsc2i 0,rk l(c-z mu 6g uniformly in a horizontal circle oc,b0c zs2lu b,b im6(k r-3axef 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 acceler5 8yfyb)sw7ev 3- vnhzates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical value in the b5 7hnyef3bvz vs8yw)-lanks)
(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 ::n-jom4vxy9 ly5d s*kko+cymass $1.67 \times 10^{-27} \; kg$ 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 / l2cp) yy(gs4x n7 mqfyyzh:3standing on the Earth, due to the Moon? The mass of 3 ny/ 4hcpsgmlyy qy(: 7xfz)2the 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 masses is F. di v71rtkv6+jIf the masses are moved to half of their initv+6irt71kjd v ial distance, what is the gravitational attractive force?

  For a spacecraft going from xieb /*7cg33 + 5 (eba dxtiiwmn.ulj0the Earth toward the Sun, at what distance from the Earth will the gravitational forces due to the Sul0i7/ .b a iutd ewi53jnbxm(+3xceg *n 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 itdvm4 (d0nvshr0r 8i6s $7.4 \times 10^{22} \; kg$ 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 d f9.tu2/uo1a, qpse6c2v s krmistance above the Earth equal to the radius of trfv.s1 q uuca, s2k/o2mep6 9the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surface wil1 3gh zt-yd3gx,oj;1 )rjmfvcl the accelera1fvy3 moz;jd3x1hj-r ,tcg)gtion of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 timlm 8to9 8yze/xnv+u9p2i hb5 jes the radius of Mars. The acceleration of gravity omv 2zh y/ 98n i5o8tleu+bxj9pf the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000m nch/: 7so:t -qo ;y7 fmm9qrod1wui1 km from some planet's center, the acceleration of gravity is i/7wc;sq7y:m oo9 :qm d-1om f1urt hn$32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N ono t*muvdmx6+b0+rvm 2 the surface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what iv umtd+o*+ 6r0mxb v2ms its weight?

  By how many newtons does the weight of a 100-kg person change w0ysshym 0 1e7ahen he goes from sea level to an altituys17y0eas 0 mhde of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 7d- 6u6v+ uwmf+tcltn 100 kg is at a point 3r above the Earth's suf+uw+66v umttd 7c- lnrface. What is the satellite's weight?

  A spherically symmetric planet has four times th:b1ir.mqh; qr1ahg( ze Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of this plan1z. qhabgr h:(m;q1r iet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the same line, w)cmcvw .r1q 3lith the.mc1rv c w3ql) Earth 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 transported to the Moon* 04v bu6ww4*cik t fyidd2bj(.
(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 skims the 0tsk0l8 w3l kfsurface of the Earth). What is the sp3s8 0kkfl0tw leed of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth ( c3dxz):mt10 6zvv ylqi.e., it just skims the surfaz c6y1zqvv: tx3l)dm 0ce of the Earth). How long does it take to 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 Ejntz1 8oh8a9j1 q )4hlaitbn1arth. It is observed to have a peraq nj)tt 1oj8nhz1li18ha b9 4iod of 89 min. 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 ov il82 pwit4nn0lxtc72by 43g rbital 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 x ce k5)s-tin7orbits 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 nearly circular orbits. br/u85yem ** fd2(kb2ynv ugoMoon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complet*/eyd 5mu b2rgufny(kbo8v2 *e an orbit?

  The planet Jupiter i5kf8jm7j.4nei3f1lx sg b q9 vs $7.78 \times 10^{11} \; m$ 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.f n.a6)n-dfux What is the average distance from Jupiter to the-nxad nu. )f6f Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)