Is it possible for an object moving with a constant speed to accelerate? ezklq ly-)y/n pt92 2p Explain./klyenp2lyzqt) 9p 2-

  Consider a particle moving with constant speed such that its:u/rdvbqv g mqz4cjft2 e 1,9. acceleration of constant magnitude is alwdqzb9qvt4 j1 m .cv ru/,e2g:fays perpendicular to its velocity.

  An object moves in a circular path at a constant speed. *+e8*ku g7.jkmp cebd Compare the direction of the objm*cg7. *+8juebdkkepect's velocity and acceleration vectors.

  When an object experienceus oys0qhc 45/7oju; hs uniform circular motion, the direction of the acceleration uu5sh7c /y0oj;oh qs4 is

  Consider a particle moving with constant speewl)13bx/ 8uxmpt+i;t+z k 6u5ewtqurizd t93d such that its acceleration of constant magnitu+/uztw;6i d zwlu)i xtp k5 3 8+x13mqerttb9ude is always perpendicular to its velocity.

  What type of acceleration does an b+ ,wp q b o52j3tdsuwx09o.faobject moving with constant speed in a circular path ewq9df u0bobpx,+ jo 5s32tw. axperience?

  What force is needed/k8iv8i a6kxros-:1zjrzf m ( to make an object move in a circle?

  When an object experiences uniform ci m.(i53jq j,mn38 sxcckuz6 k+zlx2ptrcular motion, the direction of the net force5kkc q8ml,z. u jjm6x(x c3sz2 pn+i3t is

  A roller coaster car is on a track that forms a circular loop in the verda0*kv++ e*tiuljp*)*biqbgkx 19ol tical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripetal accel p *+lid avu*ktlx*+9qb0j)ie1 bk*og eration at this point?

  A roller coaster car (mass = M) is on a track that forms a circular loop (radeq;(us*oq :dg -x4gvn+ y4sj tius = r) in the vertical plane. If the car is to jusyg- d;j+us(ntv:oqeg4*4xq st 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 unti)ljcf2,ok i)f3o gaqmf+vk1 /l it is going straight up. Just as the plan) jomlc3kfaf o/gv+ q) k,f12ie 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 curvp5 3cflb.1f0 v)eg3mo:qolvll 8)kzfe 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 ix1v *j*z kls(0r3 jbwtt goes around the same curve at half of the original speed. What is the centripetal force on the car as it goes around the curve for v(k0r*ls zjt *3wj 1bxthe second time, compared to the first time?

  A car goes around a cuku t)rz4:ox7lvt)cand ve*,1rve 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 second curve,:e rvuo7xz))ld1a4k n*vttc , compared to the first?

  A car of mass m goes around 62ru5o -sppv8;pjcse pr,) psa banked 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 the car from the roadje, opp v-rcpu6 s;s25r8p) sp is equal in magnitude to

  Two horizontal curves o 99tomqh7ydo og* p15fn a bobsled run are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the runtm15pgf*h99 od yoqo7) 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 constant, bt(nvzglyg qa39yi3*g a37+zlkre b; 4ut increases upward from the horizontal. Coming around a turn, the 3 zlalgyb7 y*g3 qek(r9tgvi+;za4n 3bobsled 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 to have both centr 0)-dv9wgz )srv3g, jprip pp.ipetal and tangential acceleratiog9v gi )p03-wvp.p p ,zsrr)djn?

  The gravitational force between tw mp0 ,uo;ksop x+w52rzo objects is proportional to

  The gravitational force between two objects is inversely pr ul z+kr:4wed2oportional to

  Two objects attract each other gravitationaleo 2ddk 6-kys r9e+)jtly. If the distance between their centers is cey9rted)2 k dsk-6o+ jut in half, the gravitational force

  Two objects, with mass*f-*r o7qg+ 6g fa av:imgjgg)es $m_{1}$ 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 massegwqg,tp e2k-+k10n.jy3 ynvf.n*s p fphaa9-s $m_{1}$ 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 xq7w. w kgkm2ar 4+8fngravitation.

  Compared to its mass on the Earth, the mass of an object on the Moongy 8 hcr 54-:ldmf5rh .iydd0c is

  The acceleration of gravity on thee0vd y,6.0zmc b,des u,bjw)x Moon is one-sixth what it is on Earth. An object od0x,emjv z 6cbeb yds.w, u,)0f mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfacit7/kyk0 lij+1q,62zicnrsl e, the rocket's weight

  A spaceship is traveling to the Moon. At what pu7ky v gce.kv1bn847point is it beyond the pull of Earth's gravi pc71yubkk84. vn7gevty?

  Suppose a satellite were orbiting the Eart* +n0p9icwtgfh just above the surface. What is its centripetal acceleratioi +wnpt0gfc*9 n?

  A hypothetical planet has a mass of half that 16nkbh7xs8 jkmt3 .zvof the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on t.hz8njv6s7kkm1b3tx he planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravii 2es7 tg+(qnq,zfu9 bty on the Moon is one-sixth what it is on Earth. The radius of q 97 (gqibn2 ,ufstze+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 surface gravit2lbl9g ,0 ;/dkjeshmwy, but planet B has twice the radius of planet A. If planet A has mass m2dll 9, wbmg0ekh/ sj;, what is the mass of planet B?

  Two planets have the same surface gravity, but qt,t0j y 6ajl+planet B has twice the mass of planet A. If planet A has radius r, what is the radij60+q tjy, atlus of planet B?

  Consider a small satellite movina xx.i;u3 ak*tg in a circular orbit (radius r) about a spherical planet (mass M). Which expres 3; x*uxtai.kasion gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the 2c y.ghqi.whyuv(z( ;same orbit. Compare the two satellite's sy(z( cqiv .ywh.2g;hupeeds.

  A person is standing on a scale in an elevator accelerating downward. Compare l 2d*qly a03* bdp8k)yo w2fu0sxm1cwthe reading on the scale to the person's trd8qlf wb)1*ck *xpwo0 y0ud ma2l 2y3sue weight.

  Who was the first person to realize that the planets move in nqre:qc90 cu,elliptical paths arounc e:0c9n ,qruqd the Sun?

  The speed of Halley's Comet, while traveling in its xu:o0s8hx4v olx3ss:dox/- v elliptical orbit around the Su 4xx3 ov- dvl so08:hxouxs:s/n,

  Let the average orbital radius of a planet buffuh*n e4rd 5xmu90rm -,xt 5riw)8 ie R. Let the orbital period be T. What quantity is constant for all plaixtm uifhu,r8)d r95m x-40nw5eruf* nets orbiting the Sun?

  A planet is discovered to orbit aroxj3 y +kg-0v) rtxyhib)wrn2r5a,,p tund 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 period of revolution of that new planet be, compared to the Earth's orbital per 5x,r,yw)xgkb) rvyar t+ n ipt0jh32-iod?

  The average distance from the Earth to the8 ftqzy0n pp x+p,m;sofk20n ( qms8-fv1hh:z Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the(np-+8n0q1 :zh f;2mh8zqffkpso p,t0sxvmy asteroid's average distance from the Sun?

State Kepler's laws.jx i,p(c.jgq5

  List the four fundamental forcesm6 b9ur*t fy6g0y-loz in nature.

  An object moves with a constant speed of 30 m/s on a circular track of radit ;zy vm671binus 150 mn7bt6 vzyi1;m. What is the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum s3x6ee po(v j;agluqb9.b g*+0 uck1yppeed around a curve with twice the radius? (Ass1.xu*p0 +au eblgekp (3qjv cb96y;o gume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the peri-lav si l+gcdx0( a-(ymeter of a bicycle wheel of diameter 70 cm when ( yx-(0sg ld+ -acilavthe bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m fr1qrc1; az3cy nom the axis. What is the centriz;y c3q1crn1 apetal acceleration?

  How many revolutions per minute must a circular, rotating space station of r3ol (moug mpj r.v kbp/4+zh5,adius 1000 m rotate to produce almu hopoz (+3b ,5/.gp rkm4vjn artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m8, ug7cr-iq haetzi 145k8b jo radius turn at 96.5 km/h. What is the centripzchkrq a54i -, 8 bu1jito7g8eetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whirled gv.r hf6da 0,qin a horizontal 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 norahf6 gqdv. 0,t to break?

  A stone, of mass m, is attached to a strong string and whirled in a vertical jhu39)b g;kmp rsj6l 9(q+tyf circle of radius r. At the exact top of the path the tension in the string is 3 th9+tpyf9qr j);s(ju 6 3lkbm gimes 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 and whirled in a verticalf9mls9xibp8w 64/zvh uz0cj 8 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 this point is givlzm0 8h/w4 bup fx6vsi9z98jc en by

  A jet plane flying 600 m/s experiences an acceleration of 4g when p:ol vbo2u/h5z ulling out of the dive. What is o2bo/u:vzh5 l the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of th-ttbh:8hc ay *8,n4kdd:t yiee loop is beneath himbkith: * dt-yd:h4c,a eny8 8t) 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 sta g0gcvsbxn..q 3*ske8 nd 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 tgve.nx ss0.kq bc g*38olerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve wi */pp jc2gzc:uth the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume cuj p :/pz*2cgthe same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat *sl76 igtnz6dcb i) 6m edh2c8curve of radius 50 m with a speed of 20 m/s. The centripetal force provided by frictionzi 2*t dh b8g6ec)6s 67dcmiln is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 50 qj4idlz pl/3d9mu4f 9 m at a speed of 14 m/s. What must be the minimum coefficient of frictio/ u j 9qldz4dpmi3f9l4n between the tires and the road for the car to make the turn?

  A car is moving with a bvn yr)sdq.c x )h-/a(constant speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of thryv)b ( dh)/x q-n.case curve if the car is to stay on the road?

  What minimum banking a n8s p603c 2nwo7 n8wmnqj-jhtz8qq(angle is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidda wnn7qmz68n-j wpn hs qj(q83c8t0o2ing? (Ignore friction.)

  A horizontal curve on a bobsled run is bankv(k5qqdnn,4v )n trl /e1nch5ed 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 ofr8x 4 mu9 mpg(m01wxba $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m isskv-ydzh+1l slj +w69 banked 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 revp zn83 /mswwu0olving uniformly in a horizontal circle wpz8 wm0s3un/ 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: 2osu93c6jxmg8qq ay race car accelerates at a uniform rate to a speed of 45 m/s in 15 s,xqyc96: qmo3j su28ga 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 consists of a o4h ) hshg:x.)xxj)gdjk ttg0e*8- xvd;o7sdproton 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 pe.x.d)y.- 6mb qfuam)g v,r zqfrson standing on the Earth, due to the Moon? The mass omm-6 u ,)fd)bq fzg.yxa rq..vf 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 7ori0x0u5j1 f * vodsbrm67 nnmasses are moved to half of their initial distance, what is the gravitational70i 6rfd 5rj 1 7ooubxm0snv*n attractive force?

  For a spacecraft going from the Earth toward . ;ct*3vvf 03qmta eqh2/jbpn the Sun, at what distance from the Earth will the gravitational forc *q p3m./cj 2 b3vth0av;qeftnes 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 tzfo4pz5q9 :x fnd68vufe5* kzi:1cv 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"2u 964zpba nme at a distance above the Earth equal to the radius of the Earth. What is her acceleration damez un9p4 26bue to gravity?

  The radius of the Earth is R. At what distance abop9( mdlno,1ax/*. :wgts duxdve the Earth's surface will the acceleration of gu(d .x9w/ tlax:o1, s*dpndm gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface k 2 uap68,qx -hztm5fuequal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration o 5k-p6a , uut8xhmfzq2f gravity on the surface of Mars, is

  At a distance of 14000 km fromrq0+zv gwtkkjf7n, 1x ; bx78i some planet's center, the acceleration of gravity f0,nx7x78+wjt;r qk1vgbzk i 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 sur 2jiaf v+fdji d t/s-i.5b1k.a8rkzo7face 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 ii +f.-15 ojzd8s2r fat/biv.i7j dakkts weight?

  By how many newtons does the weight o98sp3kvqxmatu )v3 (ff a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The (f3vpu8va qx9k3m )tsmean 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/ zuo 7t43*f(xqa5rssgrx r.m above the Earth's surface.7xq3s rxm as(/ f*5g4r. zturo What is the satellite's weight?

  A spherically symmetric planet has fourd8jwxqi , 3sthm3kn07 a)i: ds times the Earth's mass and twice its radius. If a jar of peanut butte ni ,x03ts:m3wad qsjkd)8hi7 r weighs 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 on the same li;7+pnte p2jul4u j iqjyp360b ne, with the Earth between the Moon and the Sun. Tu pyln;3qbp67pj+t 2j0ui ej 4he 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 transportedg e5 f9kc*;ocy 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 ci7 9qvezwf9 k 1vfbr(/grcular orbit about the Earth (i.e., it just skims the surface of the Earth). Wh7fve /rbfk(19zg9vw q at 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.,uqgvo2j ;wlff(lu972q ab/n1.hfk- t 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 l7o vj-ubg1(q/;fu f.w2ftanq2k9lhe Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circr wxbv e8dd6 eslm67;4ular orbit 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Em red6 vl78 s;dwe6xb4arth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbitalgh y,)gc9dv) r4j 1dla7u+ dxm 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 raaryksetxu,50x4xa( c d z,tg74; xorn i5r(f(dius 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 rc,gpejp)5 e6 ny 3r-ym, 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 anrp,-3pycn) eem5j6y g orbit?

  The planet Jupiter is8fnd48jxd3vavb-4walexa9 / $7.78 \times 10^{11} \; m$ 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 on5 my )tywa(c+zce. What is the average distance from Jupiter to the Sun? (The distance from the Earth to the Sun )ty y+5(wzc mais $1.5 \times 10^{11} \; m$.)