Is it possible for an object moving with a ft91sjcjb zg;xtt8* 5d 6n ctabt0u i+c-ta;/constant speed to accelerate? Explain.jtc xu6dsatjf 9bt- * i;a/tn tg1c;508tbc+z

  Consider a particle moving with constant :ya3 o7i il9abj0wj6rc-k .hsspeed such that its acceleration of cons. l60sacoh7bwjaj k -9i:ir3y tant magnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speede.ura; o4m+ bz-m 2bvs. Compare the direction of the+o2b-ba.vu mz4;mr es object's velocity and acceleration vectors.

  When an object experiences uniform circular motion,aj0y1 o 8 s0te88:tu-gayqwnm the direction of the acceleryt8ag-amewo0 : qu01ynj s88 tation is

  Consider a particle moving with constant speed suchkh2ojai dl.o0 qe.b6cl4( 5i3dt0o+bf4ccf d that its acceleration of constant magnitude is alwaysdc f+30b 60ke.25hdl4.oaj qi 4(lcb f itdcoo perpendicular to its velocity.

  What type of acceleration dognf80wvw,-msa vcmk37+ ,o mkes an object moving with constant speed in a circular path expermswf- ,w80k m,mgan ok7v+3cvience?

  What force is needed to make an object move in ah jms yz-*t 47woeg4m7 circle?

  When an object experiences uniform circular motion, the direction of the net f8 5:vnr wpu:(tjwq 2odkm(qc(i z;w0 w hq/l7torce is nwm( zvurji:o7( t2hl:(t w0qw 5dk8wqpcq/ ;

  A roller coaster car is on a track that forms a circular loo r-cl2egw*2 dt 8av:jbp in the vertical plane. If the car is to just maintain contact with track at the top of thl r8 tcagedbw*-vj: 22e loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M)s9rn t1. 5ldqrfawb.. is on a track that forms a circular loop (radius = 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 poilsna wb9f1. .5rqdt .rnt?

  A pilot executes a vertical dive then follows a semi-circulap :a24p,rmsk .;gwz xur arc until it is going s4w.zp su2p g;kx:mra ,traight 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 curv:bq2nu+p. m +xt/ b x,0vnroeue 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. Then itexpko +.5j c;m goes around the same curve at half of the original speed. What is the centripetal fce+.m okjx ;p5orce on the car as it goes around the curve for the second time, compared to the first time?

  A car goes around a curveu6n ; /vxclqy; of radius 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 seclc;qx6/ ;v nyuond curve, compared to the first?

  A car of mass m goes around a banked curve of radius r hab (n9f4u/q um5k8fdwith speed v. If the road is frictionless due to ice, the car can still negotiate the curve if/8 q5b(hma 49fdufukn 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 a8wgm5h epcnz.+a s3mfh2( 23uqxe x 1are banked at the same angle, but one has twice the ra2hc2( m ngueh 3 1zxwfe83xsaqpam+5.dius of the other. 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 Olympicpn6 ;)klpn :fprb/;sv bobsled track is not constant, but increases upward from the h ;r);l:npbvns p /kf6porizontal. Coming 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;r+ahc 2axcoe - 4qz1h to have both centripetal and tangential accelerationhr1;qa hcze2x c o4a-+?

  The gravitational force between two objy fe.)(esd nu-ects is proportional to

  The gravitational force betwe*9lt7k uhddt8 sjr :w2en two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between their 6o 1:xv1q5edwj7 g6uqk:lb hocenters is cut in half, the gravitational fh66 vbk:w71j51dqq: oogeluxorce

  Two objects, with mashwhb pi 4q7drvt x0j.4-rh)3ua8 w s5dses $m_{1}$ 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 massespdawi:x867sd hch f1raf y5x 05)i .ay $m_{1}$ 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 gravitatiu5 x b*o4s.:bqf9rbrg on.

  Compared to its mass on the Earth, the mass of an object on the Moohy+ tfbcp/of9d,:fe3 f7)xxp n is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. ipd hr) 3ir5d( An object)rdh(d ipi35 r of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket'2ms+ i1gch,fbs weight

  A spaceship is traveling to the Moon. At what point is it b6y swyw5eo 2orjrwv/*9 s fa7.9(ioxieyond the pull of Earth's gravitr y6va/ wx7wsoi5 (o2.rj9ofwe 9yi*sy?

  Suppose a satellite were orbiting the Earth just above the s + fedl;gsb0o-urface. What is its centripetal accele f0 lgdsb+o;e-ration?

  A hypothetical planet has a mass of half that of the Earth and am uovhixvwy*h(*a b 84 :w6k5k radius of twice that of the Earth. What is the acceleration due to g864b*wiawvh5 y h: *xokvk(umravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravitko/ k)(w ow2yly on the Moon is one-sixth what it is on Earth. The radius of th w 2klw(yok)/oe Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same:dhem3zza 6wstw 4cm )re)k67 surface gravity, but planet B has twice the radius of planet A. If planet A has mh6:km6 ez3ta7cdwz4er )mw s)ass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twiqn74 dcfc*b ucw04. wdce the mass of planet A. If planet A has radius r, whatw0d.b4 nfucc47wcq* d is the radius of planet B?

  Consider a small satekb j+or nkd, 28f0c9h*qw6jm fllite moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satell+d8mj n,60j9 kfck oqh*b rfw2ite's orbital velocity?

  Satellite A has twice the mass 2pdew(r))p2 izm iav,,r j5g-u*valy of satellite B, and rotates in the same orbit. Compare the two sru2ew-,,dpza i)5yg(pvl* )jiamr v 2atellite's speeds.

  A person is standing on a scale in an elevator accelerating downward.h2x 9xny8s ;;f.7 gmg z*jyndn Compare the reading on the scale to the person's true wg;9xx;zy jfn ngd s m7y28h*.neight.

  Who was the first person to realize that the planets move in ellipt4c),jkpw37cvz ay, o bical paths around b,kyzv3 )j, acwc74p othe Sun?

  The speed of Halley's Comet, w( qp4/bg 2ibhd5h/zc ehile traveling in its elliptical orbit around the Sudie( 4zhbp/5 hq 2g/cbn,

  Let the average orbital radius of a pla 0a;/h uoekgh7net be R. Let the orbital period be T. What quantity kh o07a ug/;ehis constant for all planets orbiting the Sun?

  A planet is discovered to o7: 36r6gv uavi3zmvb dg)vcc3rbit 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 per3muv7g 63v)avczc3b :dv6g iriod 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 "astronomivd(zzo )u+6pf cal unit" (AU). An asteroid orbits the Sun in one-third od+f)ou zp6v(zf a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.xm06ylv2q ld ,

  List the four fundamental forces in naturz ,r a/biv;cu.5s2hcpe.

  An object moves with a constant speed of 30 m/s on a cirj -n;7anq gu j:- wx)rgj,ye qocy,,x-cular track of radius 150 m. What is the acceleration ofynjn ja:qcjxu,yr;e,gq xw7,g-o )-- the object?

  The maximum speed around a level curve is 30.0 km/h. What i, z/fut1 d/;; *vcdbpdrkxmp9 s the maximum speed around a curve with twice the radius? (Assum f,ztd*p9b1r u/cxp mv/d;dk; e all other factors remain unchanged.)

  What is the centripetal acceleration of a ps*zw p(l,o q2fo )ifx9oint on the perimeter of a bicycle wheel of diameter 70 cm when the bike is movinsqpz 2lw*fo,) xif(o9g 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200nzm.b0k;glj 9 m from the axis. What is the 09mb.g z ;kjnlcentripetal acceleration?

  How many revolutions per minute must a circular, rotating space staamu8ab*4 u3bsu4u+ i5m) pglltion of radius 1000 m rotate to produce an artificial graviu mm3i5)4ub gpl4a* subl8ua +ty of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes argd+zst kb*w(- ound a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the -zwd skb+gt*(motorcycle?

  A 0.50-kg mass is attached to the 7:a nb6ilr5 9zmrzda0 end of a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can dmlzar0 7 5rzn9i:a6bwithstand 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; kfz: vooix6lm5sa)- to a strong string and whirled in a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times the stone's wv m)xf;zo5:io6- aklseight. The stone's speed at this point is given by

  A stone, of mass m, is attached to a strong str(y+0dx odvd9q ing and whirled in a vertical circle of radius r. At the exact botto0d9yqxv d( +dom 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 pvp6+2y 79zid 7cnokomp7u w+wulling out of the dive. What is the radius of curvature of the loop in whichiwny zmo7v67d +u 29pop ck7w+ the plane is flying?

  A pilot makes an outside vertihi6p++u piub 5cal loop (in which the center of the loop is beneath h 65+uppi +uibhim) 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 going?

  The maximum force a c- y-.44y mo3zjryr--elqj wb pilot 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 dive, can tolerate at a speed of 25-ljqy4yc rz3-e4 jwbr.o m--y0 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve v,,cok 2q+ yc9 xcv,snwith the tires on the verge of slipping. How fast can n+coq 2c9ks,, ,vx cvythis 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/a y d*+e4nwfe;mhd nnlk 2/3m with a speed of 20 m/s. The centripetal forceden 2 emnk/ ;n+3/*al wmyh4fd provided 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 of 14 m kta yoa,d;)vrxd/keoo598 8l9gex z-/s. What must be the minimum coefficient of friction between the tires and toko89;y,g9a ve ozrd x ka/exlt8 5d-)he road for the car to make the turn?

  A car is moving with a constant speed v around a level curve. The5 m/ e:pg-tzd y*yk3nc coefficient of friction between the tires and thkdem *p/tg-ncy y:5z3e 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 anatp/9 u chy0*o Olympic bobsled to negotiate a 100-m rad apyto /cu*h90ius turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bow o2zl6vi5 .vfbsled 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 6ja9mmbl mh 0ixthc55y8jm: (radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bankl64o1 kr*e tnp12zrq7(jjhwxed 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 uniformly in a horizontal cipyek 6nsisdaiy (/ 4pi fzt 7c3fa.0);rcle of radius 0.5000p/4e. 3itcf s)is yyn(apf ka7;i6zd
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 w5po *-lxwbn0at a uniform rate to a speed of 45 m/s in oxl5 bww-pn *015 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 comeayuza0a nq*pma5y 80 q+p9.nsists 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 force onkafi tb+eb9 s/z -x/6k a 70-kg person standing on the Earth, due to the Moon? The mass of the Moof atx-ie/9s+k/kz b6bn 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 ie7kb/d 4; rw7g gtxlh6s F. If the masses are moved to half xrhwl6/tb7 g d 4g7e;kof their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at wwf; qz -d zqtpi1n+q,.hat distance from the Earth will the gravitational forces due to the Sun and the Earth cancel-i; q dw+p.1zzqn ,ftq?
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 ismcfb+ 6u; csb lh3q 0-uq de4ju0uc1h) $7.4 \times 10^{22} \; kg$ 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 distad/gj5 b6z1d9rzrsa6 i2us6l encx3 - wnce above the Earth equal to the radius o/ rd-iu6c56 nel9j 3sazrszd1 wbgx62f the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Ear7jzinc3 ytd6y*q 4)y 2+zb rmt2yzhl5th's surface will the acceleration y hyt z2rjqc yml 4d)z2n75y+ tib36*zof gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance w3 /+iufxo1576hcdjg h z:tcr above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the su7z5tj3fu ih/dchow1+x 6 c:rg rface of Mars, is

  At a distance of 14000 kv;g,68 ld2ieasoi,orrsk 2r7 m from some planet's center, the acceleration of gravity i od7s8ki ears; grrl,v2io ,62s $32 \; m/s^2$. 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 hasy6z iyh)2 xlg*sni(t)h/kes - radius r. If the objeceg /ni)y6)z hls-syht(i* k x2t is raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weighbfr(tn/ ,nx 6 idd+0lpt of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean rr+(ib nfxldt06,pdn /adius 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 the Eacjii,ue 3ud,tg,n 0s/rth's surfu/ gs0juti, ,,cde3niace. What is the satellite's weight?

  A spherically symmetric plac8,;vsh1 su/,p1bg w xfj j-bhnet has four times the 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 thibub8phfjcss h x,,gwv/-1;j1 s planet?

  During a lunar eclipse, the Mmq qg*tbjs9t4:.v.q moon, Earth, and Sun all lie on the same line, with the.:gs btm m j*4qvt9q.q 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.sjxb6 n6d e;(.-mzlnz
(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 skijt6-yk*hfan0 ms the surface of the Earth). What is the speed of the satellite? (The mean radiutn-fa j6 kh0y*s of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular or p:mms0 a06uggbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution arou00 m pa:sgg6umnd 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 iz. x8lnpboc+y a;8u*cs observed to have a period of 89 min. What is+;ybouc z*n 8 plca.x8 the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter7y)-8ltsf-* vhwmzwlbm,;pv , 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 placa, qs. 8wwkq-8u s/bknet 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. dxp4xg ,jzupk b7l,9. Moon A has orbital radius r, angdx4pzku j.b 97p, l,xd 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 orbit?

  The planet Jupiter isa1d wf6d( vy;x $7.78 \times 10^{11} \; m$ 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 i am5tkvsh0 :*w8yy*2noep xa0s the average distance from Jupiter to the Sun? (The disxk t*yv0*sp:w58 ya me2hnoa0tance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)