Is it possible for an object moving with a constant speed to arywa9ca bdy/p2,85 9mrr 2fgrccelerate? Explai/ayy2r,b9w 8r pc ar5m9r2g dfn.

  Consider a particle moving with constant speed such that its acceleragv gos6n/ he-w(4u 5vyfuu3a; tion of constant magnitude is always perpendicular to its vaw u-35;vf4yghe/un( 6ugvo selocity.

  An object moves in a v0jllqm 8a /b0circular path at a constant speed. Compare the direction of the object's velocity and acceleration mqla j0/l8 bv0vectors.

  When an object experiences u0p 2fii msm+9oniform circular motion, the direction of the acceleration ipm92 sim0oi +fs

  Consider a particle moving with cm7 - ;ah2bcgv /y0hs ofd+)ihdonstant speed such that its acceleration of constant magnitude is always perph2 m ) gdbov0yf;h/7sa-cih+d endicular to its velocity.

  What type of acceleratiezeb*c9 )ups 9r49sdqon does an object moving with constant speed in a circular path )z9e9s4*q9e pc s brduexperience?

  What force is needed to make an object move in a ci2( 0eu/r2s 3 gqqbbhgvrrn+n 8rcle?

  When an object experiences uniform circular motion, the direction of0+h03n 5e3u xhgkzvwb the net force isv30bw zhx+3he n50 kgu

  A roller coaster car is on a track that forms a circular loop )hnxmk6da4hz6cdk( 9 7ir,s w in the vertical plane. 4ckmi6sdkxrd 9 6 (w,hn)7 zha If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (massgiw5df(4tm4(wb hl *f = M) is on a track that forms a circular loop (radius = r) in the vertical plane. I5df( wbi (wflt 44mg*hf 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 semi-circuf tt foo1wke*i*oe4gt/ o4 71rlar arc until it is going straight up. Just as the plane is at its lowest point, the force on eo**f g4ettr o4k t 1fwoo7i1/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 rx 2kc omchb/)7adius $r$ 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. Th ;wierti:5ii f)d:je (4bj,tfen it goes around the same curve at half of the original (if 5r:wid,tijit ):eej;4f bspeed. 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 ;4faqizq jte77lwa7 1 of radius r at a constant speed v. Then it goes around 4af lz7t7e;qai 17wjqa curve 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 ar;/cgw3vh v7hy -(c *amaq g8myound a banked curve of radius r with speed v. If the road is fr /y;v m 8h-gvw*7ch(a3acqmy gictionless 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 banke exdxs;r3os2*ph9c )l /gkxh: d at the same angle, but one has twice the radius of the other.x xsro:hed3 2hp ) s*/ckxg9l; 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 Ol ai5s8fr qv m/k*r,2bdo,o2hbympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then 2v,ihoa br 8 5/foqbm*s,kdr2 go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to have both centrl :x:/tg ztpe8ipetal and tangential accelet::/zpxt8 egl ration?

  The gravitational force between two objects is proportz8tf f yn7g6gl1g q:g)b,i ynyts058fional to

  The gravitational force between two objects is inversely proportional i - wj5to5mqqdyq 1)2nto

  Two objects attract each other gravitationally. 3 c0y4,gffo:-czmi y gIf the distance between their centers is cut in haly c c0iz,mf:og3-y4fg f, the gravitational force

  Two objects, with massex: jbl3rhgh0t)l// lgs $m_{1}$ 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 masjrj9kkg0 9g +nses $m_{1}$ 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 w(doyym+x2 n) y,f- jluniversal gravitation.

  Compared to its mass on the Earth, the mass of an object on the3 ob;buue/fkhmxu. -h m6v9 o4 Moon is

  The acceleration of gravity on r;rwn/28nh: y q/i jes(/pisz af-h 8tthe Moon is one-sixth what it is on Earth. An object of nisz82rejh8s ntap fqi/ (w-hyr//;:mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Eaen09r7s8tew k rth's surface, the rocket's weight

  A spaceship is traveling to thernn et25f qiaw irg78 mh/b(// Moon. At what point is it beyond the pull of Earth'(eat7 nwr2mrq/ 8/f i/ibhng5s gravity?

  Suppose a satellite were orbiting the Earth just above the surface. s( qqzwpk+y8yj ia32rso 7s);xsp/1bWhat is its centrip pzsy/s jaqi s2p1wyqo 8r7b)(s;k3x+etal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius ouxe(o+ 5x x7pd. ,vmisf twice that of the Ear5,xem 7.u(disp x+o vxth. 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 the M2ew t yp2bdb3 5apifn5- ezp31oon is one-sixth what it is on Earth. The radiuse21p3pw-azn tbpe yif535d2 b of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surfaci biqa,3 n4 kcrq7e7ji)pr9 z8ng:qc5e gravity, but planet B has twice the radius of planet A. If planet A has mass m, what is the izqcn73j rce9 n),q4k75a: big i p8rqmass of planet B?

  Two planets have the same surface gravity, but planet B has twice the mass of p.alsvr6 hc5 )nfg7n *planet A. If planet A has radius r, what is the radius of nfsp5hv)*7nrc.lga6 planet B?

  Consider a small satellite moving in a circfd r13y1us26btx ev +nular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellit1tyvn6br+ fdu1 3sex2e's orbital velocity?

  Satellite A has twice the mass of satelz1 * chovbx1mhh7h /h0z5bu* glite B, and rotates in the same orbit. Compare the two satellite's spuho h/hhc*5v01 bhmgx*bz1z 7 eeds.

  A person is standing on a scale in an elevator accelerating downward. Culgs60/ 7jugm ompare the reading on thgu7jls0mu 6/ ge scale to the person's true weight.

  Who was the first person to realize that the planet7p8fqa .suzn *d.0u ,ye w1gdgs move in elliptical paths around th7 *gde. 8,uuy1wsanqpgf z.d0 e Sun?

  The speed of Halley's Comet, whilef7ml7r vdvcq: mre3,0k 00rlh traveling in its elliptical orbit around the Sun,lrm0 7vmc3rr ve d:,l00h f7qk

  Let the average orbital radius of a planet be R. Let the orbital per1ma ,m tuue7p 3lwy9uo4 .wq.miod be T. What quantity is constte4m1a.. qu 3 7wulp,9umyw moant for all planets orbiting the Sun?

  A planet is discovered to orbit around o5p(v0b2 v pt;*x/ n sdz5ubiza star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 timzviuvt;(0 px d *opzbn 2/s55bes the mass of our Sun, what will the period of revolution 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 "as) ko 4zh+wbv704sihpuu 8 fs2rtronomical unit" (AU). An asteroid orbits the Sun 8)wshkfhpsu2i4b 0o rv 74zu +in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.n) yqgcguju./n.)k *ddqshu0 0k,* ip

  List the four fundamental forc6fatdc u , xt-cbdl380es in nature.

  An object moves with a constant speed of 30 m/sps/gmy.upa,q- k2y 4 bmpl07n on a circular track of radius 150 m. What is the a0yp nb.syk7a-u pm q4/l ,2pgmcceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is* 4sc*ebc/ qqvyo18bi the maximum speed around a curve with twice the r/8 io qqyebvb1* csc*4adius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of b7un5y ox5v+ aa bicycle wheel of doyx+va5 7 nbu5iameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.0p t03nn9oeq(.vy1s jip: 2(vti7qtl n0 rev/s is located 0.200 m from the axis. What is the centripetal acceler( oyl (.nn:qjt93p071 2v ni sqievpttation?

  How many revolutions per minute must a c)jgtf efmf5 46ircular, rotating space station of radius 1000 m rotate to produce a g4 ftfm)fj65en artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 y0jz5luv fiup423 gnx22 qb e+vk.:lokg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motorcycle z53ykf4+nv22geol. u0uqi2l:x bvjp?

  A 0.50-kg mass is attached to the end of ap27 zpqy6)-hx w) iwao 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What isqxh ap2yo 7w )zw6ip)- the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whirled in o17jtw1 7c(xvq ki*llo v :fr8a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight kvo8ll7t1fo*(wv: q xr1ji7c. The stone's speed at this point is given by

  A stone, of mass m, is at2t(0 br.2q vixvbd a,c0fj 5deyo0an 7tached to 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 7 xrdv vne0cf(yaio2b5 bjt.aq200d , weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g l9 0t94vvt5 uf1uzg jawhen pulling out of the dive. What is the4t9fag 1l z0tvju9vu5 radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in whicj 0 s..1 1ntxhif kgrnpopd.0t h,,*lth 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 one-half of his normal weight. How fast is he gt1p,h .djsnp,0.tl 1 .gtx hi0nf*rk ooing?

  The maximum force a pilot can stand is about seven times his weiqj+hb w0fbugjd6(k(+ ght. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical diw ((j 0fj 6bu+h+kqdbgve, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius hou.zm gk4e x- h/2bodf4rizontal curve with the tires on the verge of slipping. How fast can this car round a second curve of radius 322h4 x/d4 mbzu gfeo-k.0 m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a qa 8t(5rlls/6psv u9 xflat curve of radius 50 m with a speed of 20 m/s. The centripetal force provided saplr9sq6v5/8lu (tx by friction 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 ztor;yg2p8v;t + ;b ejewnhx0 sp4. kuop4*7 nat 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 turnp7v;pj txh02b 4.z snuyne keo t84; r+;w*ogp?

  A car is moving with a constant speed 3cat4ej5fl,2z: od qwv around a level curve. The coefficient of fejf5odwq: l,t432 zacriction 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 Olyw7f.l c ephzpq596k7 tmpic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore frpep k. zl6t5w79ch7fqiction.)

  A horizontal curve on a bobsled run is banked 2xznktzn7 ;j(b-piufy7 s7m;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 angle ovn-9j,vm5rjk307djybc ic z: f $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked at lgerc50zxg/wr )5 0ez$45^{\circ}$. 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 horizot7h(m ti 1o9qhntal circle of rad mq7ihh9t (t1oius 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 accelerates at abml4 ccoj67g,bb n(i- uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (4 -in6c7lobbcg j m(b,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 cons0hu l2kw02,-y cmi * a:xtjdhel)v *wqpt;yn ;ists of a proton 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 ):v 0c kyvq;kay2 g6myforce on a 70-kg person standing on the Earth, due to the Moon? The ma2mya g6y)y c0:kqkv v;ss of the 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 mase)6orf*m4 dk5,t/ *tg qpnut pses is F. If the masses are moved to half of their initial distance, what is the gravitational attra ut /pm5pf)*t,6oertn k gqd*4ctive force?

  For a spacecraft going from the Earth toward the Sun, at what distance t(gtjlt1 yl.uv k .yo:+2 yll9from the Earth will the gravitational forces due to the Sun lu t.(yt29.yll+:lt ky1gvj o 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; ndrv(q ggv0n4s57nc $7.4 \times 10^{22} \; kg$ 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 distancm:h 3+p-, 1sni5r qvkhglt3xpe above the Earth equal to the ,3th5qrn + p g:1x-ivksh3mplradius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. Az tu0my+:6 kf ir)i /lldt(4mmt what distance above the Earth's surface will the acceleration of gravizr li:m(l timu64t0 yd)+/fkm ty be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its3om9 x(7 kouyay y00, vwo0lyf surface equal to 3 times the radius of Mars. The acceleration of gravity of the sately7vo0om xay(lo 009 uyy3fk w,lite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, t),.fh t hbq+m 0uwf.+qksv,pp s8 mtu9he acceleration of gravityq.uwfuqhtk09 ps8m.)tp+ vbh,ms+f , 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 of the Eartlt;0m --a7 iumas rpo1j fak5-h. The Earth has radius r. If the object is raise;- r7uata1ml-sjfa- 0i opmk5d to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons doefrz (jk3 (ef0bs the weight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The k 0(ze3(jfbr fmean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at a point 3r above th2f0*gcw.o jece Earthg . c20jwc*foe's surface. What is the satellite's weight?

  A spherically symmetric planet has four times tpj-jl6/s/ oqg0ub1d(oj a-prh hx 5-dhe Earth's mass and twice its radius. If a jar of peanut butter weig6o/ -qsbhp pj jd/ hdag10lx--5o(jurhs 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie ozyjfu, g;; 6osn the same line, with the Earth between the Moon and the Sun. The Moon ha6g;u;o,zfysj s 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 cix0okc i86smi4- 9go/jpj/css *zw7 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 1o 4reo-*mdpd the Earth (i.e., it just skims the surface of the Eart*omp -14redo dh). What is the speed 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 (i.e z/x8e yhlp3a*., it just skims the surface of tl/yhezp38a * xhe 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 Earth. ,u ium .esz38gIt is observed to have a periu mie8gs3 uz,.od 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 Jur*0x cw;gh arzns/1o/ piter, has an orbital 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 orbits the planet with a radius o-wn vgp mv:ijyrb36 5)f $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planet in near7(c6*jzg, im uugse 3tly circular orbits. Moon 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 complete an orb3c*(s jg6igte muz ,u7it?

  The planet Jupiter ivx f0725du-fpt : jcmhs $7.78 \times 10^{11} \; m$ 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 oncve1 0dismhr1 ;w,c)bme. What is the average distance from Jupiter to the Sun? (The distance from the E e v, ;mbmswc0hir)11darth to the Sun is $1.5 \times 10^{11} \; m$.)