Is it possible for an object moving with a constant nu n;0:a-q;tyeyuct 9speed to accelerate? Explainq9tnn0 uyu - tyec;:;a.

  Consider a particle moving with constant speed such that its acceleration ov ,gn;k 0htcj,2xg )lgs 2emv.f constant magnitude is always perpendicular to its velocit0k2g v,.v clj,s neghgx2)t m;y.

  An object moves in a circular path at a constant speed. Comp88r /73vqtlwvj;k/j rs2spfbare the direction of the object's velocity ar;8vrjb2ws 8/skl vp/f 3qt j7nd acceleration vectors.

  When an object experiences uniform circular motion, the direction of the acce e5qd.z rw5*nqegc uzp u23 *kk)gi6q;leration iqp 6q2c wrugze.zki; nq )35*degu*k5s

  Consider a particle moving with constant speed such that its acceleration of -edi itk5fwx*qb i,6 (constant magnitude is alwaysq*idt5(xf-wb,i e k6i perpendicular to its velocity.

  What type of acceleration does an object moving wipat y 7d:fm;7sth constant speed in a circular paa :7;tyfsm7dpth experience?

  What force is needed to make an object move in a circlerus/o6nvx: .y?

  When an object experiences unif 5)p+g* 2m1ysri ycyhsorm circular motion, the direction of the net forcey) 1h p 5+ms*csriy2yg is

  A roller coaster car is on a track that forms a circular loop in the verti281 jhd5 ck.ra+whfzical plane. If the car is to just maintain contact with track at the top of the loop, whahwah. ic+1kd rj582zft is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms a circular loop (raditqohgv)1 mo7s)c 8s s)us = 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 mo)t7o )mgshvqs)sc1 8inimum value for its speed at that point?

  A pilot executes a vertical dive then follows yx jtkdm,i5bp9;*9dd a semi-circular arc until it is going straight up. Just kb9 5itddjp*,yx;9dm 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 cu2 usnv7o:sv 1crve 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 ofm((g q;tv2 rw cgou-0i radius r at a constant speed v. 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 ctvquwr;m igo-0g2c( (urve for the second time, compared to the first time?

  A car goes around a curve of radius r at a constpgh8 3 dpq3v2rtve8- .s)xx iaant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on 3s.8vgxt3epp8xvi)-2ra hqd 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 wit ern+db+y hb3h:,zdb .9 u ayz/3sdm2ch 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 the car from the road is equal in magnitude d3+e.zc 32 ab+dyhbru:ymzh bn9,/ds to

  Two horizontal curves on a bobsled run43:o o i*f ulhyeg7ri*;krzz4 are banked at the same angle, but one has twice the ra:o *l *i ohyu ek437irfrg;4zzdius 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 Olympic bobsled track is not constalwg*q*qj9); d0y xnwynt, but increases upward from the horizontal. Comin; qg0l9*y jdxww)ny* qg 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 aroun:lpsg*0,j x5cs p++t gm davr2d a circular path to have both centripetal and tangential accelersardpjv0g ct g +p*x2ml:s5,+ ation?

  The gravitational force between two objects is proportional vyqmmq,nyr6x(7t4qs( y9pt . to

  The gravitational force between two objects is inversely proporiiz,*17k h* wtt*abz qtional to

  Two objects attract each other gravitationally. If the distance between theivrg0+i hmnw1 oaas 2m 7z58u,gr centers7,nm0zshwa5 1 vm2gi+u ar o8g is cut in half, the gravitational force

  Two objects, with mas((3e h/eilrhor.is r z)(j zj7ses $m_{1}$ 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 masst;(/iv 00kcmf y dhbd5es $m_{1}$ 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.yx5hxuij1,-zj k.o 7 ja/kin;

  Compared to its mass on the Earth, the mass of an object on the g6fuc.tnwuv)25ow* pcj ):hs up q 8.jMoon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth.;;zruq 6jj(djma.8 yt An object of zmdj;y 6qu(rt jj ;.a8mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's sun b2neoavp4 )c1pm/uvc49pk;.f rx x 0rface, the rocket's weight

  A spaceship is traveling taqkp( +zu*fd8 o the Moon. At what point is it beyond the pull of Earth's gd+q8* (kfua pzravity?

  Suppose a satellite were orbiting the Earth just ab;s wj5 oexw3+n,v l-uk -+to2;twnhopove the surface. What is its centripetal acceleration h +,;lwvk jw 35opo+tns x;ewo-nu-2t?

  A hypothetical planet has a mass oa2a eo+av+,h ef half that 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 gr,ao e+ev+2a haavity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what i0c(1kbb5ux up5op 7po:5i/gvf q+vj zt is on Earth. The radius of the Moon is one-fou5boubuj 1o/+pxgvk(z7 v5 qp5f pi0c :rth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but plaje)hn+; jbwi500y:z3gjk*d htxml - nnet B has twice the radius of planet A. If planhi3y)l+0 jhmt0 nej: z-; nwjd5* kxbget A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet 0m-0zz6s ku qpB has twice the mass of planet A. If planet A has radius r, what is th0zzp k sm60-que radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sph)pg*oi9 az/ioerical planet (mass M). /o iog9a)*piz Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellj-5)puhp4 xh;oz , 1g8g /ph39mctu: rksb hllite B, and rotates in the same orbit. Comparo1u: hpphplg4cbhg 8/xmu -zrhksjl,5;t9)3e the two satellite's speeds.

  A person is standing on a scale ink4 y sbqq*n0/z an elevator accelerating downward. Compare the reading on the scale to the person's true weigh4q b*qsk0yn/zt.

  Who was the first person to realize that the planets mw p:1glrbl2 f4ove in elliptical paths around the Sf 4: pwl2bl1rgun?

  The speed of Halley's Comet, while traveling in its ellipticw5-qhcj9 :o0ux.xbtw p f m*n+al orbit around the Sun, +np:c- m0q*xwjf wh95txo.bu

  Let the average orbitq k:i*w8bvym* csuhbb7/ h7m* al radius of a planet be R. Let the orbital period be T. What quantity is constant for w8y mbk h7mq:iucb/*svb *7h*all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the gals n8;5ctm 5y5crpna ui(c/zmp-+2lclaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the(5pz;cn aylcc/m 55ncr lm+s -uit p28 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 "astronomim9c)m xbq 20gical unit" (20bqi )9mmc gxAU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.9 suh*ezw qh)16ojy, n

  List the four fundamentaln d5 hvne1v23iogq(1ji*g(0e 3o snid forces in nature.

  An object moves with a constant speed of 30 m/s on a circular track of ra4i+ds(md,xo. r6ipmpumn 3,xjx7 g: e dius 150 m. What is the acceleration of the object?nxp p(g6:,+js r 7,d iexiu3x m4dmom.

  The maximum speed around a level curve is 30.0 km/h. What is tho.+m,b npgr0 b x7bv5ye maximum speed around a curve with twice the b7o0xn.r y p,vbmb+5gradius? (Assume all other factors remain unchanged.)

  What is the centripetal acceler9 5wv t*gc;rtkda*1 pyation of a point on the perimeter of a bicycle wheelgc1 ;k5tad*wt9rv y*p of diameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from /rl7ueg0ut w/,jg25qkfnhj 09)a gkhthe axis. What is the chgr / lh guj j/kt)9q2nfg7a5u,w0 0keentripetal acceleration?

  How many revolutions per minuetgoyp cpax(/l. 1gxn ;aw .;5te must a circular, rotating space station of radius.xwxap g(n /g.1eply a toc;5; 1000 m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 2/ is u2jqdlp2050 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motojis pl202udq/rcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The systbjuwws6:c 3c7hdre3r(8h )9s(k q dncem is whirled in a horizontal circular path. If the maximum tension that the string can withstsrd(r6 8c(b jhqe)3w7hcsc dun:3 wk9and 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 bjv5l 9jgb-w5a vertical circlvgbj5jb5l w9-e of radius r. At the exact top 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 stone, of mass m, is attached to a strong string ajx wrj):tq+pdw3 l p39ytdk2:c d0if*nd 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 th9 tt*dj:pkc0+ddy ir l3:qf2j)p3xwwis point is given by

  A jet plane flying 600 0vi(hzn ja/jojq 0)0 bm )gf)xm/s experiences an acceleration of 4g when pulling out of the dive. What is the radius of cfqz j/ogi) hv(0m) 0 nb)jxja0urvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which thew/b:fp gyr0 1g center of the loop is beneath him)1 pg:wyfgr /b0 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 pilot can stand is about seven times his weight. r :z wq6egh:,a/cagg/ What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can to6rqz:/a ga:whecgg,/lerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tires on 7 yhx 1is/sdew3i+q6js.l5pizxy-n5the verge of slipping. How fast can th7zixihi./ e 1 yx lw5n6sp -sy3qdjs+5is 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 cen)nlj/ luyb()a5 kxb- gtripetal force pk)(xb)l /b ajuny gl-5rovided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve oti8 eg6+z47wp(a ba qnf radius 50 m at a speed of 14 m/s. What must be the minimum coefficienwz7 gpa6+nit a84b (qet of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v aroun o-3vqympmnv*l:28 ,iuw og0sd a level curve. The coefficient of friction between t p0guwi-v8myo2lv, mn osq*3: he 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 require6pg xb8 j t:(ynf9/dyvd for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skiddinggfxbd(j6/ ypv 9tny8: ? (Ignore friction.)

  A horizontal curve on ti0r pe/;nys ,a bobsled 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 radius 100 m, banked kxkny,z*ch7/ g;p k- eat an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bankes3urmjl70gw 96pes )m5blq6h t) tss0 d 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 uniforml0/ mu ppulj-.zy in a horizontal circle of radius 0plm-z0 . puuj/.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 a u7cdohl 9; k3mt2eklq(niform rate to a speed of 45 m/s in 15 s, moving on a c9lc d(mqt3k72 hk loe;ircular 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 consists of a protof6tk .t)sv s1l* 1-5v ltbnrokn 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 on a 70-kg person standinghlylf(1:l 3sdq.9ncq3 - sk eu on the Earth, due to the Moon? The ma3-ldf:hsncys qelq 1.l( 9u3 kss 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 masses is F. If the masses are m +at14mvirl v,/kz9yd oved to half of their initial distance,dr9y v 4 /z,a+1mktvli what is the gravitational attractive force?

  For a spacecraft going fro j01nxav e7()9j08csz tsghg am the Earth toward the Sun, at what distance from the Es 8teag0az cgjj0)x vsn7( h91arth 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 i mdea9ogr k89c,/ :cins $7.4 \times 10^{22} \; kg$ 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 equa3l0w5st 2zc6h.q4lkd+m(zy /z ronqgl to the radius of r g6 l+/mq5 znkdso.02hql4(yc3z wztthe Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. A wler79r5+upsgtc6acjn;* f)z qkn q8s9kl/5t what distance above the Earth's surface will the acceleration of g; lqk/s9 wl9frnk6 * net7)g8u 5sc zjarqpc+5ravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surfr ;n6u v9gv gtbl ro2p y:/biv+0a(.fface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Maropv.+lui6 vbfb art : y;g/fv90g(2 nrs, is

  At a distance of 14000 km from some planet's center, thd: u5ci,wa2xf e acceleration of gravity2c, xu d5awif: 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 ) - bd.3 0mfx/lie3-dgtfdoteN on 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 is ite)ofb- d3g 0/e-tx idtlm.3df s weight?

  By how many newtons does the weight of a 100-kg person changej5h,khtco9o3 3 : vmon when he goes from sea level to an altitude of 5000 m? 9ooj voc, 3thnh 3m5:k(The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite -u 5x4g;mth yfof mass 100 kg is at a point 3r above the Earth's surface. What is the sah -yxm;gt5f4utellite's weight?

  A spherically symmetric planwd /hru)u o3ldh433 ioet 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 surhrw dhud uilo433o/ 3)face of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the same lin* nj.*atifd1 he, with the Earth between the Moon and the Sun. The Moon has a mass of .1*h niafd*jt$7.36 \times 10^{22} \; kg$; 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. a ;bd4dpbo efpvo)57y, j37qrirg) 9p
(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 skimsmppbb ,) juw3/u1h nt 89; z,t()kz9hmkdc pst the surface of the Earth). What 8p1 nmttpuzwz u s b h;,d(pm)hkkctb3,9/)9jis the speed of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low cirza3bb-3fz; d ml jb(k61zrm4k3o+laq cular orbit about the Earth (i.e., it just skims the surface of t1mz ;+3ao(af- qbzm43 z6bl3rlj bdkk he 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,lm * ylx/ iitui2z;85v uhqt: the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean x8,iiz* hqt l2/l 5;itu:uvmyradius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital fv frque 9a.v)3mrx81 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 aod+5 ppzq hm,8 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 orbital radius ok0pkuxt, 171q. hgrur, and .kothrg0u u, k7xp1q1moon 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 isd hjtfi x3j2j9/ 4dms6 *:2hx qlyq8cz $7.78 \times 10^{11} \; m$ 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 year t/8srx 4t/omps to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from t/p/4 ot 8trsmxhe Earth to the Sun is $1.5 \times 10^{11} \; m$.)