Is it possible for an object moving with a constant sp7rq3+bqgpod i pii la:do7 q (zot:;13eed to accelerate? Explain.t lbddq;p3g71 i p7i+oo :izr3q o:a(q

  Consider a particle moving with constant speed such that its acceleration pdjd ynco422 ,of constant magnit jo22 ydcndp,4ude is always perpendicular to its velocity.

  An object moves in a circular path at a constas 8vq8 :s3 fyu4rev88cspukm9 nt speed. Compare the direction of the object's velocity and acceleration vectos8y3m8fk s4 eru qv9:u 8psc8vrs.

  When an object experiences uniform circular motion, the direction of the a4ujxs;r0exin *c-ffs 2 5m;lacceleration isi esfs2fjx50 ur*anc;4ml- x;

  Consider a particle moving with constant speed such that its acceleration of c/gyd s5n mjs*(onstant magnitude is always perjndsy(5sm* / gpendicular to its velocity.

  What type of acceleration does an object moving with constant sg;- 8m olmm *znf:c2tlpeed in a circular path experl8gm2f- ;*ntz lm:m coience?

  What force is needed to niddy ))z)3z lmake an object move in a circle?

  When an object experiences uniform circular motion, the direction of the -,g1 qf s5ibemnet forc efsbq1-ig5m, e is

  A roller coaster car is on a track that forms a circular loop in the vertiodt*0k6 y6rwz cal plane. If the car is to just maintain contact with track at the top of the loop, what is 0o6 kdy*rt6wz the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is o 6kxbiw ;crxz5zwua 14za 2i;j)g s54nn 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 valu 4;an25k5ir); 6jb 1ziz4zxg usawcxwe for its speed at that point?

  A pilot executes a vertical dive then follows a semicwl+au0rjk/g pw( +tks+z7lw bv*9j0-circular arc until it is going straight up. Just as the pw *v007zl+glja/ +(br + wjw uktkspc9lane 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 of radi.: a:jkb8w- mejyt;m7xsqoi4w m5g/ fus $r$ 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. 5dk-xc7ov-srp m6o/j+j6lnl 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 curve for the second time, compared to the firs7jvpsom6x- c/doln65 -+ lr jkt time?

  A car goes around a curve of radiusbt+5afuek9(xal wu51 r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal forcex( eu+5tbf1kua5lw 9 a on 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 with sp+vuwh) ;9pd hkeed v. If the road is frictionless due to d9 )v;hpuhw +kice, 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 to

  Two horizontal curves o:zt:wlx3t c+s rkse*x 5ga7g4n 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 run) for the smaller radius curve is v. What is the safe speed on the larger radius curkagz ts4*g rx xt35scl:e+:w7 ve?

  The banking angle in a turn uzp(0y/hax rwm 93b1q on the Olympic bobsled track is not constant, but increases upward from the horizontbpx0 ryz1aq (9hu/m3wal. 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 movi xz+5 yva6d ubvtm8c**ng around a circular path to have both centripetal andv tu 5*+c6a* bmvdx8zy tangential acceleration?

  The gravitational force betwg9 zouvvw -h;6een two objects is proportional to

  The gravitational force between two objects is inversely proportional z n,8i yzh:ry6bg9ac +lww f,5to

  Two objects attract each other gravita4)8 ;-horcgnfb6k y qhack 4/gtionally. If the distance between their centers is cut in half, the gryhq anc c gh46fgk -kb)r;8/o4avitational force

  Two objects, with massd0jlv6rf jalbj 2c 0n*bj4 +8nes $m_{1}$ 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 masi0w+m q vr ,/noby3h-qses $m_{1}$ 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 gravitati+z j7dsxc;v wauy*0*n wugx4+94 zqbupgev+5on.

  Compared to its mass on the Earth, the mass ofxa6s/(oyi 6wn an object on the Moon is

  The acceleration of gravity on the Moon is one-sp)hnpu :.3mv 23b rczyixth what it is on Earth. An object of 3pup: nv r.by2 mzh)3cmass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfacvhomc*kzig8.a- bzyv *c/s7.e, the rocket's weight

  A spaceship is traveling to t6 4aqblj( ggh aoeq54h 9nuh//he Moon. At what point is it beyond the pull of Earth's gravity 4nq/ql(46/oahj 5 gehguhb a9?

  Suppose a satellite were orbiting tu l5tw x95mmye1y9 b,hhe Earth just above the surface. What is its centripetal ac9h 9wb5e 15,ylxmyumtceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius o:5.neue,k 6pjkt zzk)f 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 Enk . 6:,epk k)uejz5ztarth?

  The acceleration of gravity on the Moon is one-sixth what it is on Ew8lv 1.s3zyxe rmp,l; wud.0darth. The radius of the Moon is one-fourth t ll 0r1 ue8y3d.wv m;x.pwdz,shat of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the samde55r++odk 9 4 *ngfz-rrmgbx e surface gravity, but planet B has twice the radius of planet A. If planet A has mass mzrbk+ef g95xrmd+ -45gr*d on , what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has vduyz*al0 g 3s sy4 ,1xu twlkuj)3)w0twice the mass of planet A. If planet A has radiu3,)z4uk w 0t y*) s3lxdyu1gsv0ulwajs r, what is the radius of planet B?

  Consider a small satellite moving in a circular y) sw*j.hhdp0 orbit (radius r) about a spherical planet (mass M). Which expression givy wjs*)p0h .dhes this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbit. 7pbzih++.bl /jlrhf, Compare the two satellite's spb lrj.7f/+p hil,+ zhbeeds.

  A person is standing on a scale in an elevator accelera r-)geux fc5h y0ko ,gt:cc: aokafu1+f. z;w8ting downward. Compare the reading on the1.rf,e5 ::a hy8wa c;o gg 0xckfc ufzkt-o)+u scale to the person's true weight.

  Who was the first person to re /d x7:h mm6rx/nyosc5alize that the planets move in elliptical paths around the S5oy m7s mxc6nxh/ :r/dun?

  The speed of Halley's Comet, while traveling in its elliptical or(v,g/zo 4 ijbgbit around the S4 bjgg(ov i/z,un,

  Let the average orbital radius of a planet be qif 5h;9y c2 2awd7sotR. Let the orbital period be T. What quantity is constant f9 s52fqh ;odc 7yaitw2or all planets orbiting the Sun?

  A planet is discovered to orbit around a sta4 2 57q4nx*rqpntkb emr in the galaxy Andromeda, with the same orbital diameter as the E4p qe4mnq2*7nrkbt5 xarth 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 period?

  The average distance from the Earth to the Sun is defined as oned/fs: j, dhpan0o-8 vt "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from ,-fs0vop8 thd:nja/d the Sun?

State Kepler's laws.3of 4lcr3n m4mo-q o,o

  List the four fundamental for8/hl rpcp6 me;av x6pvy2tph14r+oe 5ces in nature.

  An object moves with a constant speed of 30 m/s on a circular track of radius 1* :gu2m6n 6wm/ )ulcgt wz1kil50 m. What is the gg*l/6m 6ic lkutnw1:w2uzm) acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum spep 5wfr ;h)7 - vuala4ut9yfp.y-s)ztded around a curve with twice the radius? (Assume all other factors remain unch)5thw- lpu7yus)z fr4;vf a -ty.da9panged.)

  What is the centripetal mwr,g65/y+pzm0 j zpcacceleration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is movingw/czmzjr,pygm0 +p5 6 8.0 m/s?

  A point on a wheel rotating at :p*ce/ zuv .ru5.00 rev/s is located 0.200 m from the axis. What is the centripetal acceleration?:e* vzuc pu/.r

  How many revolutions per minute must a 8 ( fk*got2zvacircular, rotating space station of radius 1000 m rotate to produce an artificial gravity oftzvo *8f2 ka(g $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. Ityl:0x( pw(q/ww m)l df goes around a 13.7 m radius turn at 96.5 km/h. What is the centrdw (y)lxq:f(w w0pl m/ipetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. m; cut)ul2n 9aa;(h tvThe system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximum 2latu m;uvh 9)t(n c;aspeed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string a:zifb7mv5:iannt0dm ;)) t to nd whirled in a vertical circ)v bin ot 5fidt:7)0a;m:zmtnle 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 h8(foh)0l o *sowye wo*jxyd(eb(*-c to a strong string and whirled in a vertical circle of radius r. At the exact bottom of the path thew8-*oy() (w*x(jdfooe *lheo h0cbsy 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 accelerat;ml o1jdbv 4(6g4t/8tatl xv vq sr.-xion of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plvba xl. q(/-ld gv8rxo 44t61sjmtt; vane is flying?

  A pilot makes an outside vertical l. +*jc,f1n7 l eecctmeoop (in which the center of the loop is beneath him) of radius 3200 m. At the +c*mc7etecen. f1,jl 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 pi d(.iwywe;.pq 2fp;- buxpt9elot can stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pu(;q .;tp u.eib ydew pw2x-f9plling 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 cudexyuxfh t8qb z4323,rve 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 r8,qt hxbd3zy 3f4e2uxoad surface.)

  A car is negotiating a flat curve of radius 50 m with a speed tjrx,vjr 0 c/6bb6p6 iof 20 m/s. The centripetal force provided by fric,jr6 0c 66j trix/vbbption is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius vn vrwowojx,54; * 1cy50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to cr ;4w vn ,yj5*owvxo1make the turn?

  A car is moving with a constant speed v around a level curve. The tg y,m86ej rb 30y7i2d;svouvcoefficient of friction between the tires and the road is 0.40. What is the mim2o ;v ujgyr,d 8 s7evib30ty6nimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for a *5ngdoixoa 2w: q;n z:jbny2)n Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore frictiozgi;*2 2njyob o)qnan:d5 : xwn.)

  A horizontal curve on a bobsled run is bankedu hji4k,p:b2fvtn *n; 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 anga,xyzf:b y24h m. 8n.7 yr z2icwhlfqlc6m 6i;le of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80aes+fjfph8 *b .6z9uhumbr7 6 m 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 horizontal ce s 85iohsuo.t2u y54-kgoh+hircl2o5ou-het.4h y u o +si85hkgse 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 race car accelerates at a d,qo .h0iino -n+9gjn/o3 aty uniform rate to a speed of 45 m/s in 15 s, moving on a circ.ao ,-ni/0+i j9dyqon h3ogt nular 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 consist0ui3l.; gur rxs 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 on a 70-kg person standing on thr 8l c8czsl6;nfftm15e Earth, due to the Moon? tcz8fsrc;l l6 m8 1f5n The mass 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. t) zv4lnhz:/q7) qglk If the masses are movedql)/v tq7kg nz h:l)4z to half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Suqu fk26p3 gboh9o( 8(.gbbqgt n, at what distance from the Earth will the gravi(9h2qpogg6 3o .( q8bbtkbugftational 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 is cs2gx h8mc hkoslp/ad/, ;saj :8ka8.$7.4 \times 10^{22} \; kg$ 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 Ear 2r pmwqi-tf;9th equal to the radius of thw-miqr9 tp;f2 e Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surf3 c9de xk(xzz6a00k jjace will the acceleration of gravitk9je 0c xj6(z3 x0azkdy be $4.9 \; m/s^2$?

  A satellite encircles Mars at a u br rp7ym15a6distance above its surface equal to 3 times the radius of Mars. The acceleration of graba7m5uy6r 1prvity 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, th8rvkn4o b cea+-hjg f;8 qr4/pe acceleration of gravity 8fceh8-;pkb 4jr+nr/qog av4 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 s93sx 0 l n-exd;,x;zouw0m hxjurface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth'ss; dxn9 xzu ex,oxh0lw3m-j;0 surface, what is its weight?

  By how many newtons does the weight of a 100-kg p9j 14b qesum(uerson change when he goes from sea level to an altitude of 5000 m? (The mean radiusmu94 su1 (bjeq 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 E(;5vfpi2 xx5owls iqw z0:lc:arth's surface. What is the satellite's weigh olq 5wv;:x zf2sxlw5ip(:c0it?

  A spherically symmetric planet has four times the Ehli qgi*c9(l 9arth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, howl9l(q cih9g *i much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, q5j3 tebo:ip4 3m2/c a:en 8wu1pu vzcand Sun all lie on the same line, with the Earth between the Mootzn:p3 mca2v8u po uce3w4b1i5 /ej :qn 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 Mooeolg6bj( :.awus q)k1n+pcz4 n.
(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., i k,/s(/tvgho2qie,ie t just skims the surface of the Earth). What is the speed of the satellite? (The mean r/e,t2k /h(ivs iq, eogadius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about thezgag3s9:+fcj 3v hv pk (n47sb Earth (i.e., it just skims the surface of the Earth). How long does it take to ma j+h 4kf7s(cgnsvg 3bv3z :9pake 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 a gko g (t0rsbb4f:5qk,a/e:zzbove the surface of the Earth. It is obseg zbkerz(oas5kt g fq0:4,:b/rved to have a period 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 Jupitb6axl go ; :z)+vbyl)eer, 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 planet wih1 o,zvc)zop5 th 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 plane;syje fxwak326zm9 crk/: ev 0t in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20xy m kk;zvfc9 2:w6ae0 sj/r3e days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is:u *bf 7mt9 bl/l hs7gk.gclw* $7.78 \times 10^{11} \; m$ 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 g/74l q+j fn7kb vyzmdso+p c.w(wx/-5cfkj)years to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance fromffdc/v+ ksw-7npq (k7 j5g/jzy xc +4blw) .om the Earth to the Sun is $1.5 \times 10^{11} \; m$.)