Is it possible for an object moving with a constant speed to -c-,yw qrs4ug+fv -hn accelerate? Explain. 4qv uh+-f-wcngsy-, r

  Consider a particle moving with constant speed succ,vbp)*dg.qb h that its acceleration of constant magnitude is always perpendicular to id . vgq,cbpb)*ts velocity.

  An object moves in a circular path at a constant speys co - rtu4ky1oi1c b fo(+bl13f*e6ped. Compare the direction of the object's velocity and acceleration vectors.y 1fyr1( bfk b+coo1tl4uc3*6ieo p- s

  When an object experiences unifor gu3vl.;.21 .gwezheve cphs4m circular motion, the direction of the acceleration evg e432c;h1..seugv hp.wzl is

  Consider a particle moving with constant speed f2 j5q (3 ,5jvt kz;+yd jc;.hocpizuasuch that its acceleration of constant magnitude is always perpek;itfcjuz 52hj ( j5zovd+aq.3 ycp,;ndicular to its velocity.

  What type of acceleration does an object moving with constant sp q6t--nzz9em reed in a circular path experit69-zrq ne mz-ence?

  What force is needed to make an obu2 jo *fy2ct7rihz;i7ject move in a circle?

  When an object experiences uniform circular motion, the direction of the net fe,c5q g8y50yr3le. *olyd jo gorce l or55oy* 0ql ec ydg3y8,ejg.is

  A roller coaster car is on a tr +1yvmq62p q7cdjht* mack that forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of th1+m6* hqj2vp7ytdm qce loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) ismz7 bg;j+x su( ptys3;ok*bhac 5qq 2* on a track that forms a circular loop (radius = r) in toh*x* bztb5qpc3;(j qus2g sky+7am;he 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 veoq al5;n 05fmrrtical dive then follows a semi-circular arc until it is going fr; 0 mln5o5qastraight up. Just 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 ; 61sz3te:l g(1mtzxyp dyur3 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 constb(h:jbq e(m; tant speed v. Then it goes around the s((j q b:;mthebame 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 the first time?

  A car goes around a curve of radius r at a c,fq/cdhma3p0 a :tgk+onstant 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 aroundga p+kft0 cm3 a,dhq:/ the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius r w wg5-xda*w 5xcxhy.1cith speed v. If the road is frictionless due to ice, the car can still negotiate th yx-c 1 dxcwwa.*g55xhe 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 banked at the same angle, but wvf 2v l-jn(r6one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smallerl2n-wvr(j 6v f 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 is not constant, bub1 fevq8,xa,k z;h, xuwxyqyi+-2t *qt increases upward from the horizontal. Comin w,, -*fyz yqv1xh8extuqqxib+ k a,;2g 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 around a circular path ta1 (y/x 2o2-(f4jimiql luu)ag(zcg vo have both centripetal and tangentiall gmo)-/2 yu(v1 xajliagc (u2 z4if(q acceleration?

  The gravitational force between twlq 1 j)dfd7n:ao objects is proportional to

  The gravitational force between two gs+ libur:j 8vm .sz((objects is inversely proportional to

  Two objects attract e qf0sx+:1 g :axk0osoz ,kkpv:ach other gravitationally. If the distance between their cenkk a:z+1,: xx pks0voqfo gs0:ters is cut in half, the gravitational force

  Two objects, with mass tn3/ t-j.wqi4faz*zies $m_{1}$ 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*hhr7o y m,djl4 pv;,bs $m_{1}$ 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 gravitatih+nm 7ws4 sm,uon.

  Compared to its mass on the Earth, the mass of a;g3v d z9x.jzgtsp59.b2nratn object on the Moon is

  The acceleration of gravity on t0qbs)6;bd ei aj3 hup1i a(g6xhe Moon is one-sixth what it is on Earth. An object of m63)qg1eaa sbx(ip bd6h; j0ui ass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surr3eq ej/x pl/f+qq z40face, the rocket's weight

  A spaceship is traveling to the Moon. At whmvqum z j;re *79q5les5lm55hat point is it beyond the pull of Earz 755 59jell;v*mqsu qmmrhe 5th's gravity?

  Suppose a satellite were orbiting the Earth just above the surface. Whnii fw ngwf95 (0-)aszat is its centr z5gifa-sinn90w)f(w ipetal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a thx e)ns 4l baod-bpdir 2+6o,h598ixradius of twice that of the Eartotob-dx28r hbl n hi6, 5xde9ip4+)s ah. 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 Moon is one-: yfp*wnz ,v3dit2iqxw+11o l sixth what it is on Earth. The radius of the Moon is one-finpq 3iowf+12yw z:v 1*l x,dtourth 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 rbq(h 8vawb0l8adius of planet A. If planet A has mass m, whab8v(lwh q8b 0at is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice the*r*:/w.e l ceb6ngcg g mass of planet A. If planet A halr6gg*.*cw/nc ee: bgs radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (u(jkldsui *gqz8. a/b2mz3(i radius r) about a spherical planet (mass M). Which expression g( im8*2ugz3 (suldb zji/q.ak ives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates +agw;e,terdut0 j+m/in the same orbit. Compare the two satellite's speegmrd+; u, t j/t0a+eweds.

  A person is standing on a scale -*gk:;u)vxqzd2 lo n2 7njy1lh: sgxh in an elevator accelerating downward. Compare the reading on the scale to the perso 12q) lg: hnk-n :;g zdxohl2sxv7u*jyn's true weight.

  Who was the first perso s ,06fey9c/d+rn 4qa(l7gkci8 psb(o zwgbn*n to realize that the planets move in elliptical paths aro df9g*(q pn8zl6s4(e anrbcw o ckb/,7yi+0gsund the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit,9lbw9 pw lq15;h. * ,+loh ocliystvr around the S .lcw,h5th9l*l,y1wi sbr pq9 +v ;looun,

  Let the average orbital radiusex)htmxl 99g. of a planet be R. Let the orbital period be T. Wha9xt9)m gh.ex lt quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy k v)i7y+3n;peoje /du Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the e 7kiyo3); +v/unej dpmass 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 th:6ld.vb j 15vvmx+bnke Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's a nvx b .1bv6vdjkml5+:verage distance from the Sun?

State Kepler's laws.dmlh5sf9 9ue8

  List the four fundamenta5 5 dvc ow(y(f* 1 dzrb ui;gkcmumbi84.jc62ol forces in nature.

  An object moves with a constantf+a; 9rlv06nx p+v+ekvrrud+ speed of 30 m/s on a circular track of radius 150 m. Wh+ ke 6 vrrnv+p+frux0 v9+al;dat is the acceleration of the object?

  The maximum speed around a levek ef,*3o6ov vrm:rzi) l curve is 30.0 km/h. What is the maximum speed around o6kezr3iov * m) ,:fvra curve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perime7untj8p w:dk h 5x/3tbter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0 m/s?btj xutdkh5w7/:38 n p

  A point on a wheel rotating at 5.00 rev/s is qpo9 weo ((c* j0r08cq ytzxe)located 0.200 m from the axis. What is the z00 ( ptjeq8xowq( ec*9rc)yocentripetal acceleration?

  How many revolutions per mir )qx8, bhx(zhuqfpgqr/ z:: 0nute must a circular, rotating space station of radius 1000 m rotate to produce an artifici hqrx)x u:0bqqg: z zhf/8(p,ral gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radi9c0cm uxpf;l i0g *r:hus turn at 96.5 km/h. What is the centripetal ;rf9gm*ucc i0xl0p h: force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-1h ltr3g/ o:cdiq aebh v8z340m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withszr33 d0 egq oh4v1:/ih lb8acttand 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 andg wt v 6u cvhyr7yqb019/e7zq. whirled in a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times the ytq zqw6hr.g971b7/ecy u vv0stone's weight. The stone's speed at this point is given by

  A stone, of mass m, is attached to a strong strig+: t, jt3of,g3tgaoqng and whirled in a vertical circle of radius r. At the exact bottom of the path the +fgoa,tq:3, ogj ttg3tension 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 pullinow m6lm,hc4z7s(pv g 7g out of the dive. What is the radius of curvature of the loop in which the pc6mp74vlmg( 7wozsh, lane is flying?

  A pilot makes an outside verticabp 5 gyprb+*th6+109j4fao k0fdh ano l loop (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 otpp0y rabn5bf *+ g+ a49h60 doo1jhfknly one-half of his normal weight. How fast is he going?

  The maximum force a pilo a 0gt8-e )fm0zjy)evu/mn)set can stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical amyegj )-e0)z0 sf mutvn/)8e dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m kxs 3s req :dkj9(3t,mradius horizontal curve with the tires on the verge of slipping. How fas:( q3drexs mk, 9jkts3t can this car round a second 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 m with a speed of 20 m/s. The ce e t) bf1vjle4;te0.+o(nfizg ntripetal force fzebgtt4i1 0oe ej+n(. f;l)vprovided 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 at a speed ofc //(i g mvwn. ws3l*2ac ,uw-5jxxgcc 14 m/s. What must be the minimum coefficient of friction between the tires and the road f mi-v/g(ac x 3cwl/*ucw,jws2 ng.5xcor the car to make the turn?

  A car is moving with a constant speed v around a level curvl/mkpw y4 yl/2jr6st4t .e/g ke. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of thytme4p jk/ 4s6gl 2wk/tr/l. ye curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled+qigudc s5b -:f y wn(5yqjp-0 to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore gwu05y--f cnd+ q y:(sp5qb ijfriction.)

  A horizontal curve on a bt nkm 7+8z7t ec)m:qf qw9dc*fobsled 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 r fr:wr-/jnv; qadius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked1frt4pf)xvnz 7ucv)bu 6m dmi 0 ev4.: 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 oldabrc6ub6 a*5f .2 scf a string is revolving uniformly in a horizontal circle 6* fb6 . urbclsdac25aof 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 rbpr7) r)emm)accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m)rbmpre )r)7m . (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 0 bvug5hkt 95aof 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 7bwj 26i /xoum9w ,idu90-kg person standing on the Earth, due to the Moon? The mass of the Moonu/wu m 9,2di9 ibwxjo6 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. If the ma1gusxgm 7ej) m -a0ylkow2./ msses are moved to half of their initial distance, what is 7 2me1ymkaxm./s 0g o)jl gw-uthe gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at whatsav8;(7 dygc1zs l ux8 distance from the Earth will the gravitational forces due to the Sun and the Eartuss y8(x8g d17 zlc;vah 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 *zb,ry:bgp7 y is $7.4 \times 10^{22} \; kg$ 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 the Earth equal tancoe5 i g k,f30te2/ho the radius of the Earth geoia/ 5,k20efnh3 tc. What is her acceleration due to gravity?

  The radius of the Earth u3d+os9wja) fv- y2bf is R. At what distance above the Earth's surface will the acceleration of gravitufjdo+9a2ws yvf)b3- y be $4.9 \; m/s^2$?

  A satellite encircler1y8n p gf, ued.u )(+tajm0cis Mars at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as. 8e1 uaydfmntig(pc j0)+,ru compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 f koi7 ,z gxj*c( .+alkn-s(zpkm from some planet's center, the acceleration of gravity is 7px(glk ancs* z(. jz- iokf,+$32 \; m/s^2$. 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 Earth has radius r.;evlg zi+b:1e If the object is raised to a height of 3r above b+evi ;:1zlge the Earth's surface, what is its weight?

  By how many newtons dlzqq( pl+ n6cy ncn* u,zvrx (3n49o0loes the weight of a 100-kg person change when he goes from sea level to nynu ql,cn(vz( 4 0rolqplzn3* 9+xc6an altitude 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 13ne32+idaed:zzz hf 400 kg is at a point 3r above the Earth's surface. What is the satellite's daz h3 zd2+: e43nzifeweight?

  A spherically symmetric4*fxbyi;d5k au4zx w n1:1yjj planet has four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of th;f5w4 jx*jn 411 axy zi:bkuyde Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the same line, witj4 0;,sutn de wl2s6-e x 7uj9ihxri6jh the Earth betweet24l jjr e, 9i70ixxndsje66 uwh;us-n 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 transportby3rgmh )zj6 q7 jm6l,ed 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., lncf(m8 nl(pgu+ yp y ln29d06it just skims the surface of the Earth). What is the speed of the satellite? (The mean ra 2n+lf89gdylunm cpyp(6n(0 ldius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low *ec/ )cyxera0circular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radius of th/y )er*ccaxe0e Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 21vsta62k /k scrjg *s).fl0xl30 km above the surface of the Earth. It is observed to have a per)tkglj/lka.6vs2 xsf c 1 sr0*iod 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 Jupvw v1 9.pt7md3bqh 7owiter, 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 Jupira *. 4ac 7dbtiw88fkster 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,,7 t rju+uow (m8qqmy in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. r,m8qto m7 qyu(u w,+j How long does it take moon B to complete an orbit?

  The planet Jupiter i*8lnavy)lsx ;(iqzo5 l-ld 6 ds $7.78 \times 10^{11} \; m$ 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. What is the averagey3c*wtz 8v fjqe-xr.pmlyxm+ 3554 vb distance from Jupiter to the Sun? (The m y qeb35+- f3*txlvxwm z84yj.vprc5 distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)