Is it possible for an object moving with a constant srdcn(d 3onwy69e4 212m8fqk 5 pular vpeed to accelerate? Explain 3lev9ordmnyd(2qa fk rw54cn618u 2p.

  Consider a particle moving with corj d+(ym5l n7o-eizj 3nstant speed such that its acceleration of constant magnitude is always perpendicular to itsj +dm-e yjr57z3l ni(o velocity.

  An object moves in a circular path at a constant sn,jm2g0e6ugu)te 1ovzymjsv 9v*9 2y q gn( ;qpeed. Compare the direction of the o2, g s9eyjgmz(9q2vu)ju6nvg *t ;nv0me oy1qbject's velocity and acceleration vectors.

  When an object experignms/ 3f7 ;jo9a1 h :jxckyc*et/g(u,athxk4 ences uniform circular motion, the direction of the accelera/n g e4(j/x ,ck kxahomu*y9;1 7:ctagsf3tjhtion is

  Consider a particle moving with constant speed such that its acce/ euvhpd ;eq: e+:pvcqj;zl.3leration of constant magnitude is always perpendic:vqplep +;cujhdq.ze3: ev ;/ular to its velocity.

  What type of acceleration doi,io f,;hr i*ylrhtk. 3f nhls8, 7(ijes an object moving with constant speed in a circulay lif(nk7;,hs j.irh ro,lhif *i3t 8,r path experience?

  What force is needed to make 9bkdtms9 p y5/5t 0b /iyn(tluan object move in a circle?

  When an object experiences uniform circular motion, the di2 p0 ejj+t/ kotqy+fqnryyg -n79e o;6rection of the net force i -g 2e6o +ejt7qoyr0 n +pk9n/jyfqt;ys

  A roller coaster car is on a track that w 2w* *a0rtqjoforms a circular loop in the vertical plane. If the car is to just maintain conjwr2owt *a0*qtact with track 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 form)de;n ax8 s.icr(sc:f s a circular loop (radius =:df a8;rn s. x(ecisc) r) 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 semi-circular arc until it is qiumbh. 10om-:oe66ynx4mc z going straight up. Just as the plane is at its lowest point, the fo6i bx coq04n1u h6:momy-e mz.rce 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 p+glhqwpd;nd;3qo iv9+ maqv;x 23b,radius $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve ofnbedrcb2n86 v7vr 3j4 radius r at a constant speed v. Then it goes around the same curve at half of vjn 4ner3b8c6 rbd 27vthe 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 rad zch) i )gaagjg.gc zz hp mt2)f4i/3+go/,/adius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the sec. )gi/3cj/gf,a+iha c2mz4 ah z/gpdgo) )zg tond curve, compared to the first?

  A car of mass m goes around a b8d/j*o-8q ;f 9o r/ fq0fqpx)xqdpxrranked curve 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 x -o8f fd0frxdq8 )9jo *pq;pqr/r/xq the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same angle)k q1j: ii:rb.l92 ic 2xw9b1fupebsp, but one has twice the radius of the other. T:r212 i.jbw b p9sfl1u)ekcib ip q9:xhe 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 bobsled track b- xl2r9bjqz r7 /jn-tis 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 the turn. 9 - bt7 -qlrx2zr/jnjb Why do they do this?

  Is it possible for an object moving around a circular path to have both cent7 *+jl)q2bkdizsa i0oripetal and tangential accelljds oq0ba* 2zi7i)+k eration?

  The gravitational force between two objy;f dwyf6+x9ir)*j8v y g- ogcects is proportional to

  The gravitational force between two objects is inversely proportionj7sjdu(o-f2f/px k irik 7 tlb91 z/f5,b s0qqal to

  Two objects attract each other gravitationally. If tfmjze2e/ l9uw-imxk0 5n:mxn q; c2g:2ys1o hhe distance between their centers is cut in half,; 2i/enhx1fgm229: s wu5mo lz0-ym xjqnke:c the gravitational force

  Two objects, with massi+z-qn9u2z)ok 2 emryes $m_{1}$ 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 masse7;., ioie anims $m_{1}$ 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 utp)fm j7+2yz/mjiy: v niversal gravitation.

  Compared to its mass on the Earth, the mass of an o874sse7yvw9tb/idxh 74m a:1y cisn qbject on the Moon is

  The acceleration of gravity on the Moon is one-sixth what ncx g(2zr(-kt it is on Earth. An object of massr2tck(n xg (z-
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Ea )d41ckuv k2n1ll ws4mrth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond uet; bl/ez2.h w*: b j0,xpyz3.jnfplthe pull of Ear3.bjy b/ t;zpl,z : luehex pf2w0.j*nth's gravity?

  Suppose a satellite were orbiting the Eap+u(vcqtfp)66oka(3 l8 *j r be qxsw7rth just above the surface. What is its centripetal accp 3v)f6k br7qql8e (xct+* u(jwa pso6eleration?

  A hypothetical planet has a mass of half that of th w*0fx,wjwv: ae Earth and a radius of twice that of the Earth. What is the acceleratwaxw,f0v:w * jion due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. hwj )nefd4co o55sy)4 The radius of the Moon is on wosd)) e455hj f4cnoye-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 has twice the radi n.63 pfmuvkf ;2 9xd9l)zrbbeus of 6f rd.lz)n ; vkm9fp2bb9ue3x planet A. If planet A has mass m, what is the mass of planet B?

  Two planets have the same jca.xk;ph7) dsurface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the rad xd)k p7ajc;.hius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sphv*+hp k9lhz 4 itj-w/herical planet (mass M). Which expression gives this satellite's orbii -h zh*kw4ht +pjv9l/tal velocity?

  Satellite A has twice the mass of satellite B, and rotates0do.q7wa 7zkp qrk9be /dhx fwpka14xzk(+)3 in the same orbit. Co b epr azkd)x(+ kkqz70 4fw/dqxpoak.1397whmpare the two satellite's speeds.

  A person is standing on a scale in an elevator acce u v.g4g (jm3;(.ml.0bihfa eahfbyu.lerating downward. Compare the reading on the scamy.gih;f(ba3 jb. vulfu.g 0 4e.m(hale to the person's true weight.

  Who was the first person to realize that the planets move in el(*r qv;yo3c 1s0mib zo1(be dzliptical paths around the Sun?;0bom*cy11or ve siz3(bzq(d

  The speed of Halley's Comet, whil jb*k7k1 wrv;ae traveling in its elliptical orbit around the v1k *jwb ;k7raSun,

  Let the average orbital radius of a planet be R. Let the8cn6 yjd r;mt0,.wr :n d( k;lo*eaxbf orbital period be T. Whatmjd8(:,e*n;0wl; n.fyoc ab r6 xrtdk quantity is constant for all planets orbiting the Sun?

  A planet is discovere tvb;qozj*a2 6dt/xtg;e g-7 xd to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that s/; t6b qoje*7vd2a x-g;t txzgtar 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 period?

  The average distance from the Earth to th9rbj x(5wk+wle Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a yeark wj 95xrl(+wb. What is the asteroid's average distance from the Sun?

State Kepler's laws.m7)( oozh aglve. /da1

  List the four fundamental forces ijrgt36cug 8shu0/3qi1e ( upnn nature.

  An object moves with a constant speed of 30 ms:/z0aslpjj-o* + tup ab fp0//s on a circular track of radius 150 m. What is the acceleration of the obj0/spu: ap/z0foslj+tp*b - aject?

  The maximum speed around a lepz 88 yf1rt0 oaafmy+-vel curve is 30.0 km/h. What is the maximum speed around a curve with twice the rafya1tmz8rf yp0 8+- oadius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimtmy3q c 9d0i*g6rhj vtku:*g7x 6y4nseter of a bicycle wheel of diameter 70 cm when the bike is movinu rmy*0hd6kvj4 y xnc7s3*t9tiqg6:gg 8.0 m/s?

  A point on a wheel rotating at m3,-ee ixfaf5wdoh +45.00 rev/s is located 0.200 m from the axis. What is theh543eem +f ,dw ox-fai centripetal acceleration?

  How many revolutions per minute must a circular, rotating 2: vj yl*-y hrmj-el8kspace station of radius 1000 m rotate to phjyl 8 jem-k-vy*2r l:roduce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13. 2+q57:u3pz9tsr uynua0hpn ru,j-cr7 m radius turn at 96.5 km/h. What is thpruu -n,2 p+hr75qsucnu :0 ry9zt 3jae centripetal force on the motorcycle?

  A 0.50-kg mass is attu*,7 ubgojkyf1+ /po ) m56y qhd(phi0kut2txached to the end of a 1.0-m string. The system is whirled in a horip6pougy byu/ dhk i t(uo702j )f1x+5t*kh,qm zontal 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 strong string and whirled in smd+ lci/xlhzgk+, + ;a vertical circle of radius r. At the exact top of the path the tensio+i/ kdsc ,mghzl+ l;x+n 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 stronbgocas2rts.6sti dp6n2n7j() i cu+3g string and whirled in a vertical circle 7ia n2r6ogb6u nss(3sdj+c). tt2c ipof 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 by

  A jet plane flying 600 m/s experiences an aeg-zz u:cgt+yos. h3 m1g +0oucceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane is fl3-o.:ezh+ gz0 gu gmyot1cu+s ying?

  A pilot makes an outside vertical loop (in which the center of the loopya6ac9xnq : .e is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his sea9ena aq.c:6xyt with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can s,o+2 gvhta :(wr: 4d3 dakxdiutand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 250 m/s?va, rt2 gd:o3did :4xau+( hwk

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tiresy ;vfxp.sidw5-*-g ra on the verge of slipping. How fast can this car round a second f; i*-rpg s yxva-w5d.curve of radius 320 m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 lf5w otl ihf9ao6hl4 d*nyq9d9: ):/( vikug jm with a speed of 20 m/s. The centripetal force providedl( i5ay 9lf/t ohno9fuikl)v*j g9q: wd 6:hd4 by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve rw6q6 gkp ;k2dof radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road fdw g6 ;kq2kp6ror the car to make the turn?

  A car is moving with a constant speed v aroun;kv nkw34k-f ed a level curve. The coefficient of friction betweenkefv- kw; 4nk3 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 a 10r+ quufqh wu2c.wzczt:t;0 4 )0-m radius tuqrhcct+.0u4:zf2u) qz u ;ww trn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled rul s7jccm :qo8za 6;7uun 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 radius 100 m, banked at an angle o)p,:t 0o/:ikwh(sznrh 1 x msmf $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked +(yd; l0y).)xoj5nwcjie3(dnz y s wgat $45^{\circ}$. 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 u *nkdynd)5*uzbt3 y6sniformly in a horizontal circle *nzdsntb y) k d3y65u*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 accelerac +0d-8vc4yhg z*b 2wl+pca qjtes at a uniform rate to a speed of 42bl*da8z+wjhccg q- pv40cy+5 m/s in 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 cov:tx5w bp. a, 1u.bkmzv6* clynsists 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 gravitation958xnoftu zj/zoq(+ r al force on a 70-kg person standing on the Earth, due to the Moonq9+zoj( 5rtfz o8u xn/? The mass 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 mtw-n5u08scyjm( x uk 4o z55jvor.y)dasses is F. If the masses are moved t.mxkv c (du j5uz-sr05y85o4jtyo nw)o half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, 5dcaf 7v eevz 8i./g)szuye* j/wz;:sz(u*ew at what distance from the Earvsga 7fdv)zj (w5c/i z.wz*su:uezeee /8;y*th will 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 -jva4pefv6 6d6r rm c1$7.4 \times 10^{22} \; kg$ 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(5bcv,. xc0pu nnj(33w 6 afsc.uio xq a distance above the Earth equal to the radius of the Earth. What is her acceleration due to ic. 0.fcujs,o356pb( 3c(vunq xwnxa gravity?

  The radius of the Earth is y 9 l:ovew6b i3tzpfxrma42,w 2jsw(* R. At what distance above the Earth's surface will the acceleration of gravity be raw fwvs(,46tx3l2iejz p9b oy:w m 2*$4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 times the 667: ii/v9 xbuoe0mk*ksv n ifradius of Mars. The acceleration of gravity of 6xvkisk9b*:6ueni 7/0vfm i othe satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km 52mp( mdu1khp.c kgz8 from some planet's center, the acceleration of gravity isd.zu8pkhm g521mp(c k $32 \; m/s^2$. 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. 56 vwv,uq1gtm The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what uq61gv t,v 5wmis its weight?

  By how many newtons does the weight of a 100-kg person change when he goes from srw(0-d nb4kh3hsrsnfv e 3c2k f0-z )sea level to an altitude of 5000 m? (The mean radius of eh)ks0-c0hr3s s(kn3 2znfb f-d4vr wthe Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is x+)fgaftqq80lt8/hj.hrs set 1r3e:at a point 3r above the Earth's surfacee/8hrlqsseqt8ffar3:+ g10 . jthx)t . What is the satellite's weight?

  A spherically symmetric planet csvj p9 +3vo-uhas four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of th-o9pvv+jusc 3e Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the g.u8) + cr jrsdjsm9/nMoon, Earth, and Sun all lie on the same line, with the Earth bet/r n)9s8.srg+ judjmcween 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 i7:y7 ,jpmm/ ;t)d ltit3 87emkoyssxts 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 ck3 ;vtu; mg3arzh.t7r ircular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite?rvmru at;37 zt.3hg k; (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., it just skims the)i/hgq4jr+a w surface of the Earth). How long does it take to make one revolution around the Earth? (4ria)+ g jwqh/The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km h/h:l:)ff 1gvbaflm 0above the surface of the Earth. It is observed to have a period of /hbgfla fhl:0f )vm1: 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 orbiti leoz uch24 uj(k6l4+al 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 dik; wjwk 9 ++alz8. uwpi9tb(Jupiter orbits 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. Moon A has orbiqfp r3m 0o.*vftal radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does i.pmf*30 ov frqt take moon B to complete an orbit?

  The planet Jupiter isfbjp6.jq;r7 k6q*7- 8 bidztz)atxdg $7.78 \times 10^{11} \; m$ 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 orbb3t lxe z/ 9d34foyok)it the Sun once. What is the average distance from Jupiter to the Sun? (The distance from the Ea t/ld9yb3xof3ek 4z )orth to the Sun is $1.5 \times 10^{11} \; m$.)