Is it possible for an x*w s7d6u,bp saza4v(object moving with a constant speed to accelerate? Explain.* 6s v7 xsdp(4au,awzb

  Consider a particle moving with constant speed sm rg uyrj;hek2tzi((,2g:5k yuch that its acceleration of constant magnitude is always perpendicular to its vezig(tuk:2 r(he ;kr j25yy, gmlocity.

  An object moves in a circular path at a constant speed. Compc*// etlzeuk xa;ki/+are the direction of the object's velocity and acc/;ele //zxt*ikua +kceleration vectors.

  When an object experiences uniform circular motion, the direction of the accele 7pif)ti2t )u ui vlzw,e))sb:u7litw,))u z)ts) :eb 2ivfipration is

  Consider a particle moving with constant speenfmp wkdwa/.(tj0 q6 4x/zn 3md such that its acceleration of constant magnitude is always perpendicular to its velocity.m0f6k 4(/nxdp. qazjn3 tm ww/

  What type of acceleration does an object moving wijec36(a xwo *zth constant speed in a circular path awce*3o6z(xj experience?

  What force is needed tok/7gm)8 bpd wk make an object move in a circle?

  When an object experiences uniform circular motion, the direction of the nejuw1cr7l 7ru m;oct7 ,t forc77u c,;ct jwmu7lrr1oe is

  A roller coaster car is on a 2cc.cfz i. 9cktrack that forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripe2z .cikc cf.c9tal acceleration at this point?

  A roller coaster car (mancic n)f3;vzw: -o) vsss = M) 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 minfn; ) wzvni)3vc-o: csimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc until it is g6: w(i,m5zpb tsz;riroing straight up. Justw,rs5m 6br pi;t(iz:z 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 sa 5.n56; as8xfxttercurve 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 it goes ao))m ep st2ujd6k0w8uk qqg2/round the same curve at h 0kq8/e2kowu2tp6jd )uq)smgalf 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 constant speed v. t+uz6ckqesj aq5*e4 * 3aqqb1 Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around th +uj1* bq64eecq a3q5 tzs*aqke second curve, compared to the first?

  A car of mass m goes around a banked curvew1dzncb( o;n8(s) -p kw k7r5okhlgh 0 of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve if 0chld1bkgr )szhpo (n 8-;ww5 onk7(k 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 bankedugu ehpf,d,8o pl4 x+/ at the same angle, but one has t,u+8lued, fp/poh4gxwice the radius 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 constant, but+ dg 4mhf:hiv953vzt p13oxyu increases upward from the horizontal. Coming around a turnh g5v :3pihuo 1dzf4+3txmvy 9, 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 circ,i6s+bv71; lnfpsco kular path to have both centripetal and tangential acceleration?; s7 sc6p,fkvo+ i1lbn

  The gravitational force between *bm4isd3r9n 9apeqhpk/ sj qx*1o(0 ztwo objects is proportional to

  The gravitational force b-.d it9 ol qh;vcnezdz/ cw/00etween two objects is inversely proportional to

  Two objects attract each other gravitaflk5qnbeu 9v l(1 k)ciz):9e utionally. If the distance between their centen9(zq:e9uei 5 1l l)kfuk )vbcrs is cut in half, the gravitational force

  Two objects, with masmevy.n 0u;b8 gses $m_{1}$ 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 masses5uvmtf fwab98(9 6 ezdw.b+; cnyxc7;es n,y f $m_{1}$ 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 ojf6pw 0qltq6x1i rtz i62/qh3f universal gravitation.

  Compared to its mass on the Earth, the mass of an obje4lk7xkp7o2iz qw1oa 9 ct on the Moon is

  The acceleration of gravity on the Moon is 2os jc5g(sn5 ma 31cldone-sixth what it is on Earth. An objecnd5 53(1acmgj2l o ssct of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfaclv+: cej( d(ybeeh-9x e, the rocket's weight

  A spaceship is traveling to the Moon. At what pnci,g(mqrz)93 zla: qoint is it beyond the pull of Earth's gaqr:z3n(z9 ,m gl q)icravity?

  Suppose a satellite were orbiting the Eavayk5t 7x6vk,32 y cme)eoz, m 4fr-frrth just above the surface. What is its ce)mexk zm7-5e, rf2fa43, vkty6ocyvr ntripetal acceleration?

  A hypothetical planet has a mass of half that of the Earzy 68yjauz4:nth 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 gravity at the Eart nj4zazy8y :u6h?

  The acceleration of gravity on theqx;)zc.ja px0 Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of q;. xcpzj0xa)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 radiup-vm-cxno + 0ks of planet A. -+c-p mx 0okvn If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, bu 3k 1i1 fs7 mih /-nt*o0xhzadp,jmuw1t planet B has twice the mass of planet A. If planet A nsim pmhok1zuf/ ,ahd310j1-7i* w txhas radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius:yuh :p*q63 jd(fzohe r) about a spherical planet (mass M). Which expression gives this ofuhyp:z*e :3jdq(6h satellite's orbital velocity?

  Satellite A has twice the mass of seu3: (a :mnyicatellite B, and rotates in the same orbit. Compare the two satellite'sy:une: ( a3mci speeds.

  A person is standing on a scale in an elevator accelerating downward7f t l8yur1soh w(m03h. Compare the reading on the scale to th(um hh0813swty7o rlfe person's true weight.

  Who was the first person to realize tqw1e:wn 4)u4swpvpee6 f(p8mhat the planets move in elliptical paths around the Suppupw1mew64 4w vfs(8)eq ne:n?

  The speed of Halley's Comet, while tthq 2o(4ro 6nwraveling in its elliptical orbit around the S4rqo n t6(how2un,

  Let the average orbital radius ov 3.(irv 6m l(fa)eexnf a planet be R. Let the orbital period be T. What quantity is constant for all)xa enve(i.6 (fr3mvl planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxyhae ,;b;z: qfo9 fonx, 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 revolutif f a;,qo;x,on9ez:bh on of that new planet be, compared to the Earth's orbital period?

  The average distance from the Eart;f6jhwmt7n: tn:one4ti06 pv 6 k9avth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a yfki6 9mv;jt6 t6 ptaeo7tn4:w0 vn n:hear. What is the asteroid's average distance from the Sun?

State Kepler's laws.qg 9 8wzfnvfq( h93p ehy8y.i7

  List the four fundamental forces il m h,*cdh6ipiqc,4n4dv n4wvk/ k:x (n nature.

  An object moves with a constant speed of 30 m/s on a ch2 m o9 q80pob4v9vtu/8gchpzircular track of radius 150 m. What is the accelerationhmu t0qvb9h 42zgc89 p 8po/ov of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum0qaie z ix3+x y4)3ekg9 .dmop speed around a curve with twice the radius? (Ase 4g9yeqmi iok 3a) 0x+3xdz.psume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter *,bg8a xz jk6iof a bicycle wheel of diameter 70 cm when the bike ,i*6k xj gabz8is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.f+a0 p*n ;lrp1t,z,tgqbw q0o200 m from the axis. What is thezpwg bt,q ,t ;fl1parq0on 0*+ centripetal acceleration?

  How many revolutions per minute must a circuqhn4qd :z8fhxm.vw ii- 6zv3/lar, rotating space station of radius 1000 m rotate to produce an arti zn vxhf36iz dim vq-h:48/qw.ficial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turn ag;(sbi trv y/p 577e)if/b :w8fchsqzt 96.5 km/h. What 5qt) fp bygevbii:z8(/s77fh /wcr; s is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m s;3+aqj fods2mtring. The system is whirled in 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 isfa s2;dm+j 3qo not to break?

  A stone, of mass m, is attached to a strong stti-u;j.hwb*d ring and whirled in a vertical circle of radius r. At the exij;* wbt-hd u.act 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 and whirlegs -z ny z.ggh6ht,xz50i8 x3bd 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 stoz8y xi-5gt6ghsnxhzb zg,3 0 .ne's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g whenog 7h i;w1i 5wny;ii)a pulling out of the dive. What is the radius of curvature ofogiww ii y5;i)1 n;ha7 the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in whicj pe5+g7 vk4ajh 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 only one-half of his norpe j7g va5j+4kmal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times hi1ma(dkw(q aj.s (bb-is weight. What is the minimum radius of curvature that a jet plane's pilot,1sw.k(bdq jm i(-(ba a pulling out of a vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve;2f8wjl * oubj with the tires on the verge of slipping. How fast 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 surfa2u b;8ojwl f*jce.)

  A car is negotiating a flat curve of radius 50 m wit w5yulws *u2. j.g*dquh a speed of 20 m/s. The centripetal force providyqwu.u g5s ud2wj. l**ed by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a fl/tf9p,i f( 5onivwro* -uro0nat curve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tir ifofrp n-vou5ot,nr 0/9w(*ies and the road for the car to make the turn?

  A car is moving with a constant speed v around a ll i+uitcg 5,zp 1c0n-uevel curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if the car is to stay on the r czlc- 51u0it p+,gnuioad?

  What minimum banking angle is required for an Olympic bobsled to nea;++6 f iyjh/ve*ly*7mzn,om w; ii qggotiate a 100-m radius turn at 35 m/s witho6 zv/;in+yli o**m7i;fawj+ehqmgy ,ut skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is ((dh/b1rmteon 5 0gqy 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 angleeqj f.x9-kn )sq -zuiuk/ bo8, of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 mcjd66j:5 hr8dxo8exq ). c+ mlto9hta is 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 revolving uniformly in a hosvufqoizg:/o,y94 uvu,v9t r8 jo-v 3rizontal circlu8gu9f r-zq,s,vj3/:vv oo9 vou4i tye 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 ymv6h 1yh+pjg56gqlau/.g1b race car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numery/q .hguj1ha g61vlmb5y g+p6ical 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 consi3:fa+1v xetu gsts 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 :xhr,. w9vy,dddgv4 l tly9 /b++ims von a 70-kg person standing on the Earth, due to the Moon? The mass of the Moodr9,9wym. vlb,vd dshy4v+t:l/xgi +n 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 thm/95/xhh*q1eabmnq *k yavj1ee+ bi (e masses are moved to half of their initial distance, what is the gravitational attractive force?i*/ne yejea9qxa/bqhkmv *15 +bmh( 1

  For a spacecraft going from the Earth toward the Sun, ku.f3w5oot e 98:mrbyat what distance from the Earth will the gravitat 8eo krm.u f:yw539otbional 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 Moons +7jdfq z*g qp(wq9x1b) g:hug:ni5 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 fr2ch-e +p.cpki4e;6lmg 8 a 3as+oxepor a "space-walk" at a distance above the Earth equal to the radius of +skc;apr 6-aepc4p+2lmigxe8. 3he othe Earth. What is her acceleration due to gravity?

  The radius of the Earth is h.yd395k+ 9 vc eo5 vv:kqbnwtR. At what distance above the Earth's surface will the accelerat kv9: +ctnvh5o3dy.v q9 wb5ekion of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above itm) nmd 1; jm+g:dnsul6s surface equal to 3 times the radius of Mars. The accelerati mj;l6mm)nd+: dgus1 non of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleration of gravit s1shkd12rq9)an 4jggyd2 k1 9qgsnj)s g1har4 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 surface of the Earth. The Eo)a9yt0ga1(gc+) ah t v:qzx earth has radius r. If the object is raised to a height of 3r az tx et)a10:aaq o(gv+g h)y9cbove the Earth's surface, what is its weight?

  By how many newtons does 5k f edp93(tdbthe weight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The m(kdb9de3p5ft ean 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 as3d-5gmmz8hohw- njhjpl48q0y/lze ;kf+5 a bove the Eart mmojh e jfgk+qlp z-a4;/d038shn8 55yw-zlhh's surface. What is the satellite's weight?

  A spherically symmetric planet has four times thj36ua kt.ds 8be Earth's mass and twice its radius. If a jar o8bk3jd6st a.u f peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse/ ) f1c*7obybmqed*5gxcsx j ,, the Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and t1xsb5f*dyb q)ogc/, cmexj7*he 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 transportg0fjgdvq,9; j 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 Earf-.yti 3,k8l5flbtc s-zkof.th (i.e., it just skims the surface of the Earth). What is thb f .ys5ol l,fck8ttf -.3k-ize 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., it just skims ti .y:tzyx;jm48;ee 2yd , 8h5mgpqr9db9p gmthe surfaymi4etzp y8,:hmqy9 tb g;;gj2.mr 9ddxpe58ce of the 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 o8vv qmgzt6z1ajsvg i ym2/(- 8rbit 230 km above the surface of the Earth. It is observed to have a period -62av8 /q zzvgmsm v1gi 8jy(tof 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 orbital diameter 5me45j *0gd e.dhbwbr 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 plimgu y:k p+k:0bwy5( eanet 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 orbital rad-c 7ob jgb(i+muzm oma5)e6:v(o5, fw iud fp+ius r, anmvdjf epoif(b6b a o+ mw5i5u -gcozm+7)u:,( d 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 is ,4qi29rkyhp rdkk 2z6 $7.78 \times 10^{11} \; m$ 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 orbid) ) n.t3 u2v3am3tljixlj/dj t the Sun once. What is the average distance from Jupitet2x j3tna.)vu3imjj /3ld ld )r to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)