Is it possible for an object moving with a constant speed to acceum (,feep q8pb4 oe;f0lerate? Explain(,8op 0peu feb;m4qef.

  Consider a particle moving with constant spe68 nbt4 )ocesped such that its acceleration of constant magni tb846ep)cons tude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the 4rzi ox w;if (gr1+z;wdirection of the object's velocity;o +zgf;iwwrz 1(4xir and acceleration vectors.

  When an object experiences uniform circular motion, the direction of the ( o qwd( u9n trb4pbvyr-.sa17acceleunrys ((o4a p -b v9db.qwt71rration is

  Consider a particle moving with constant speed such that its accr-tj1* w. cck 4m* pwedn5qw4oeleration of constant magnitude is mo*k1 e-nwtp5q4 ww* rc.dcj4always perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed 1* zpucux+/xmin a circular path e+ / c1xzuu*pmxxperience?

  What force is needed to make an ob)hub*/g+rti y ject move in a circle?

  When an object experiences uniform circular motion, the directibz5s*8 5nlshfon of the net force is 5fs8*nh5bl sz

  A roller coaster car is oagy66 46njz dd a-w/scn a track that forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loo6y agz6addjw46-/ nsc p, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forg*quzry+ ds tqf:(0 )dms a circular loop (radius = r) in f+zd *gr u:0qdyq)(stthe 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 point?

  A pilot executes a vertical dive then follows a semi-circ)78qu fejo lm5ular arc until it is going straight up. Just as the plane is at its lowest poin 8ol5 qe7ufmj)t, 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,3ckm2hl+al/ pqfcu: 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 constals ah ;pimu48zq 3nw,.nt 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 curve for the second time, compared to the first time?4inzm hsq p,a.w; 3l8u

  A car goes around a curve of radius r at a constant speed v. Thefoh,zj7 m; d7e8 ny6iygs3 sl(n 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, 8 7 dzmyjf6(lony;h7gi,es 3 scompared to the first?

  A car of mass m goes around a bankedov5l r gb5o6mp g.x 5ztdl7 f7:so2t,c curve of radius r with speed v. If the road is frictio57vrf2t6cb gg.smot75p x l,5zl oo:dnless 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 to

  Two horizontal curves on aao12 l4hk/gc+0utbav l h, *ab bobsled run are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed ta21aub,4hcktga v+*o hl/bl 0o 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 bo95hsnpl1wp-4 cjw2n wbsled track is not constant, but increases upward frojc4l-hpnn 19 sw wwp52m the horizontal. 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 obv ;3z fgt7;mqn-t:zs hject moving around a circular path to have both centripetal zhznm ;f:stq;7g3v t-and tangential acceleration?

  The gravitational force between two objects is proportional toneqhcx,;j *k -

  The gravitational force between two objects is inversely proportional h ; ezvv.37f3 n+ at2a77ll jsttjn,zkto

  Two objects attract each other gravitationally. If the dih6f y 1ffhggwt+ lv+aay-*.2j ;zlmt +stance between their centers is cut in 6ylmfl.hgwyztt++v af1*+jga- ;h 2 f half, the gravitational force

  Two objects, with massb5 gz ,*n0(p5 sssicgyes $m_{1}$ 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 mas+l s xj/w si*z6jhgle7 ld.e7-ses $m_{1}$ 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.tfdw ur:umr56 455rbm*y/zp g

  Compared to its mass on the Earth, the m)gxv u5g :bu(pz u)2sxass of an object on the Moon is

  The acceleration of gravity on the Moon is ou,; ilbafe0e4 ne-sixth what it is on Earth. An object o4a ulebf0ei ,;f mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's s n,xk-v* )sq)i .7bbqdw ypv3turface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond c4qi lltl-:e(t.xz;b the pull of Earth's gr-ib:4 z l tqt;lc(e.xlavity?

  Suppose a satellite were eq3 ;u;fyg bhe ,xx5*forbiting the Earth just above the surface. What is its centripetal acceleratioe 3xx*h b;,f;ygqufe 5n?

  A hypothetical planet has a mass of half that of tzyntu/5th9 j8v/0 ahhhe Earth and a radius of twice that of the Earth. Wh5/huhzy890thj t/v naat is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. The rwf0zcqdk2 vx+0k;s y (adius of the Moon (s0;fv zqd0xyc wk2k+is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet )3 wo9zw-kwm*zs bo8vB has twice the radius of planet A. If planet A has mass m, w bmkvzzw*ws- o9)w 83ohat is the mass of planet B?

  Two planets have the same surface gravity, but planet B h95el+zq)+tbst*u gd 8 *d rnz(zjgcm -as twice the mass of planet A. If planet Aczt *umgq*nr)zj+ ed9bt(gd85zls-+ has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) a.o cgvqu-(.bpfynon k ,g7i(5bout a spherical planet (mass M). Which expression givegn b.5f .k v pg,ooq(y(i-c7nus this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates/ q x+r0i*riix in the same orbit. Compare the two sax q/rix+i0r *itellite's speeds.

  A person is standing on a scale in an elevator accelerating downward. Cz +zgg)pv3n b qa+6m vg:qe7ff /oun:*ompare the reading on the scab6n nz+7)+:qgv ggv3/af* q zompuf:e le to the person's true weight.

  Who was the first person to realize that the planets move q r+m, )r.)p-ivufwtz hbfc+/in elliptical paths around the fw+q. u)/zmb pir+tr- , )vhfcSun?

  The speed of Halley's Comet, while traveling in its elliptical orbit around)/2ryerv ox daw3k-2t the r23a rvetoxk w-)y2/dSun,

  Let the average orbitaljz493 msbqc7p radius of a planet be R. Let the orbital period be T. What quam7 s9j4qpz 3cbntity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a sta w0 y8grzltf/;gu(j 9hlj ex1 (hz(fp+r 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, comh ey1rx /( 9(jglfwhltz 8p(j+f0u;zgpared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "astronomii szxuqv qwe :yn:9)1.cal unit" (AU). An asteroid orbits the Sun in one-third of a 9s q:qe. wu)yznxvi:1year. What is the asteroid's average distance from the Sun?

State Kepler's laws.ahu ej; fu9*lk qpxa.5s6w:q8

  List the four fundamentlblzcb0sru)gh4,81 z al forces in nature.

  An object moves with a constant speed of 30 m/s on a circular t l*zp5ucz( w2erack of radius 15*zp u5(lwezc2 0 m. What is the acceleration of the object?

  The maximum speed around a6sb,a ry2urih gf81 3h level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors 3hfis26y8ghar ,b1ru remain unchanged.)

  What is the centripetal acceleration of n;heh0o;2u0jig 7kt.v9 ia vd a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike isv9t0;7. 0ud2gjeih va;kon ih moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axim; )gu jrill3g8cfc6q gw/w4+s. What is the centripetaw)g l6rc4mfgu lc gqj iw/8+;3l acceleration?

  How many revolutions per mifpd84 l:b:kqgnute must a circular, rotating space station of radius 1000 m rotate to produce an artifici ld b4f:k:p8gqal gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turvf 3 5;gmr)(rhja7hqh3e-zvb n at 96.5 km/h. What i(7r5bh)3-g v h qhv;frzamej3 s the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string.ph)2w du5 k-gc The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the max k5wduhpc)-g2imum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whio.qoueof 5n: e9k .co0rled in a vertical circle of radius r. Ateuo n. focoq9 o50:ke. 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, p2f gfzqj r8vd mp7::8is attached to a strong string and 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'sq p:vr fm:gz p2dj7f88 weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g whe-sas 8k 7u1ndvn pulling out of the dive. What is th8 ds kvu-n7sa1e radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the wqh a/wn9l b0ery/yn4zq.l:8/d ri9y loop is beneath him) of radius 3200 m. At the top of his lo8hyl n9:ly/d0 w4zar/. n iyqq/ w9berop 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 aboup a: 1i4gsd/q*myb u7cijp/:v; ymho8t seven times his weight. What is the minimum radius of cur hcauij71d/mv:s g4*m/ i;p8yyo pqb:vature that a jet plane's pilot, 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 cu iq/ zs8bf v7i)ftcg+.a.n6g nrve with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefs.igbnzt /)cfavni +g86.7fqficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of wfb qczgcr8 zj2*rn*7 /okj o-299vgcezw.)b radius 50 m with a speed of 20 m/s. The centripetal forcejc j29c 279 obw) zcg*r8zwr/* vb-o.kzgnfqe 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 spe:iavp qdkx, -)t /8c1knklk v-ed of 14 m/s. What must be the minimum coeffici)-qda/kpkkl xv8-n i,k t c:1vent of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v ar bgfuuu 1t+76abth f 2:qb)jz)ound a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the z ht)bu1u+62bfft u)g :aq bj7curve if the car is to stay on the road?

  What minimum banking angle zz 3p2f-o.oda7 hi5t j7ve) adis required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding?iz-e) a 3otdpd2fhzjvo.7 a 57 (Ignore friction.)

  A horizontal curve on a b - + hgx0urx3n4g izwjzvc9b80-2hzdgobsled 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, banlf1jm (s7 sw2az20oi gked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 mej e0.i ecx;7,ij)t+tecu5 m a 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 id nqz6l5xcm l( c4f:c5s revolving uniformly in a horizontal circle of r4c6x5lczf c(d5mlq n:adius 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 pzu9o3aav zy.pm*u 29frgwn70it area, a race car accelerates at a uniform rate to a speed 9 7 .0zv 2mfynau*9awprzu3 ogof 45 m/s in 15 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 consists of a proton of mass ,o+n:v 2s zncmd:xkx1 $1.67 \times 10^{-27} \; kg$ 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 70zqm /ag(;2e1b0-pe v:hho7u eo uen w,-kg person standing on the Earth, due to the Moon? The mass o mv 7ehau -w; ,uqgbpn2o 1e:o0e(zhe/f 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 7jjid)-e y5 voforce between two masses is F. If the masses are moved to half of their initial distance, what is the gravitational attrac dj7o-5)iyvj etive force?

  For a spacecraft going from 3ht 2dl4zhht7wp s-6x the Earth toward the Sun, at what distance from the Earth wih7t36 4p -dhzt2xshwlll 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 2e;b /aafcr (uis $7.4 \times 10^{22} \; kg$ 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 E 4 ci2qn.8tmkgarth equal to the radius of the Earth. What k .8qt2gin4mc is her acceleration due to gravity?

  The radius of the Ea/8k,hojrx d*f vdd87urth is R. At what distance above the Earth's surface will the accjf8 k8 x/rd7dv*h do,ueleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance abiuooy0)dv9l b)fb ,c6 ar1m9zove its surface equal to 3 times the radius ob)o 9mi),0adclrf6 1 o9bzvyu f Mars. The acceleration 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 acceler6k nrb +e5bu5s6wbw6 fation of gravity is5bkrb 6e66w w5+bnsf u $32 \; m/s^2$. 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 Ep+ akbsj2jx.3 b0b+ 9e(mc sularth has radius r. If the object is raised to a height of 3r above the Earth's sxbp0 smu.bcb+2(3j ksejla 9+urface, what is its weight?

  By how many newtons does the weight of a 100-kg person change w ;a0hgwzzd,-t hen he goes from sea level to an altitude of 5000;a0hg, z-td wz m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of /8 0d uixx+trqmass 100 kg is at a point 3r above the Earth's surface. What is the 8 qdt/xui xr+0satellite's weight?

  A spherically symmetric planet has four times the Earth's mas5:mfw twk 5ga:iw;8vs s 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 wg:ak;5:85t vww imsf surface of this planet?

  During a lunar eclipse, the Moon, Earth, vkf6nnuhh7i ro7 g38u1r7umls y 2 l1,and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a mass l7hk78oun3 6 n7ly1g f r,v2h suriu1mof $7.36 \times 10^{22} \; kg$; 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 jtzro9 ri5 uonu +xtcwq 3ot n8m,d81z. w39g.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 thc;rcbla p o-/+e Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of the Eartcrac -o +p;/lbh is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Ea-3 gqo4flpu;l-y )umi bgqs5: rth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution aroogls quqg )-5ylb m3uf:p-4i; und the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 keqw.e moi)f7t) 8s6m km above the surface of the Earth. It is observed to have a period of 89 min. What iswsiom6mf)8t).eq ke 7 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 or):84d.bsgl20judp m f:g cpbf $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits/yazu-6 ao)t h the planet 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 plaov/o89tvu px( net in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to comp9v (8ovu t/oxplete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is pm4g-e19 trh bc u:)pr$7.78 \times 10^{11} \; m$ 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 ;uk:,ae lox0p ic;o2q to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance ;lqci 0u :a,2oe; xkopfrom the Earth to the Sun is $1.5 \times 10^{11} \; m$.)