Is it possible for an objectjcsjldjm mc0/ r4;:+2zy 8lqw moving with a constant speed to accelerate? Explainjzqyw;+ :r 82l cc4lmsjd/0jm.

  Consider a particle f gl2q8s enb*5x n7dg3moving with constant speed such that its acceleration of constant magnitude is alwa x dnglen*3528bsq7g fys perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the directio7 z+2t vjk:)+namntvvn of the object's velocity and accm+)+ vjnzk2tnt 7v:va eleration vectors.

  When an object experiences uniform circular motion, the direc ayj*lm ;x97tution of the accele7jatx luy 9*;mration is

  Consider a particle moving with constant; a hi -e.:xkynkiv;mcg48b-v speed such that its acceleration of constant magnitude is always perpendicular t4 ev:yxmia k-v8kh n;gcib-.;o its velocity.

  What type of acceleration does an object moving with constant 59 c wk+pi cy;nae(-cyspeed in a circular +p-y c9kaw5;e(ncicy path experience?

  What force is needed to make an object move in a 1y7) oxv30g ogjjd9bpcircle?

  When an object experiences uniform circular motion, th(3 :ypcahymc28;jnvd44dqwm e direction of the net form qw:;y 4hdj( 4p v38mdca2nycce is

  A roller coaster car is on a track that forms a circularz6f.7j*x pv; vqxp+.;lm vwwp 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 wm x;v+wq. .fvlp*xj;p7z6p vcentripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms a circular lowq4 br4aka :7iop (radius = r) iki47ar: ab4w qn the 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-circular g i-0/to7vpwrarc until it is going straight up. Just as the plane is at its lo vw o-p/itr07gwest 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 *y7 i6yzwvim,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 tfwf7x+i)( t*r8 uageof 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 curve for the second time, compared to gi7)tw a8(ef *t+xfur the first time?

  A car goes around a curve i* avjgp723iwof radius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force 7iw3iav2g*j p 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 r *e2d3j +8hkcg5kkx s kg95qrradius r with speed v. If the road is frictionless due to ice, the car can still negotiate the rgcqkks 9gd3 5*kj8+r5 k2xeh curve if 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 banked at the same angle, but one 2(k xszeggb ,ku 5i4/bhas twice the radius of the other. The sa/bgx4iz geuk(2 s bk,5fe 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 2aqmu(w/3 rz qthe Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb z qrw(3a2m/quthe wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving aroun jh + ckw:g-s/qpx8:h+ibyr5qd a circular path to have both centripet-xw:kqgqi8 +js/bhyh r cp:+5al and tangential acceleration?

  The gravitational force ql ++vejufaz7:h+-e/l+h ohx between two objects is proportional to

  The gravitational force between two objects.6 l7jshde si4 is inversely proportional to

  Two objects attract each other gravitationae. 90 gb:ycum ox0bb.3cw-l;lap* dj xlly. If the distance between their centers is cut in half, the l x bb3ude*cw;jcol g.ymxpb9-:0.a 0 gravitational force

  Two objects, with masses n qiwl6v(1lz0)m3 dni $m_{1}$ 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 masses fo5 *k.dey+eb $m_{1}$ 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 gfw d4c1vaw( b7ravitation.

  Compared to its mass on the Earth, the mass of an object o02bh x5a-dr vj0 -opo*r* cpljn the Moon is

  The acceleration of ksv bq 3ms(2/mgravity on the Moon is one-sixth what it is on Earth. An ob qsbvk2s3m/m (ject of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket's weig 51 odr:hrjv r6)prmq3ht

  A spaceship is traveling to the Moon. At what po;4y3h(mw,c:wfluwm rty j9sz38 0m kdint is it beyond the pull of Earthh ywms(4kj;td9wu3, czl:fr80my mw 3's gravity?

  Suppose a satellite were orbiting the Earth just a-z5k3xv.). iiy nn/pudv wbip.bi8x:bove the surface. What is its centripetal accezv.3/kupib.n.)np b-y:x 5i ivdi wx8leration?

  A hypothetical planet has a mass of im.cip.vgz yz(5 3mb ,wppe*4half 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 gravity at thm,mpeipz y5 wbv*3 gc4.i(.z pe Earth?

  The acceleration of gravity on the Moon is one-sixan(k49)t6df 9 1cd y.ymbfmk hth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compadn . c6yktah 4b)dffmk99m(1yred to the Earth's?

  Two planets have the same surface gravity, but planet Bqig; .2r aqr0b06hpuv:qfg0o has twice the radius of planet A. If planet A has mass m, what is the mass ;qvhig: g prf.o0 rb6qu 00q2aof planet B?

  Two planets have the same surface gravi7fq vbf )khtj1s-o 3b0ty, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet B?bf1ojtqs ) bfv7 h0k3-

  Consider a small satellite moving in a circular orbit lmn uz* 2ns sp+l.ud09h5t gy:(radius r) about a spherical planet (mass M). Which expression gin5 tg.lus*sm:9lpnz 0 +udhy2ves this satellite's orbital velocity?

  Satellite A has twice the mass of ex 6(r)hs:zzvc 4lh5 gsatellite B, and rotates in the same orbit. Compare the two satellitece 5v4l:6hs xrhz zg()'s speeds.

  A person is standing on a scale in an ele*ks hie8ju(6jvator accelerating downward. Compare the reading on the scale to the persj k86iseh(u* jon's true weight.

  Who was the first person to realize that the planets move in e;iggf,r8k )ull oj9z sh :.hf-lliptical paths arolo g sl8iu fj:z;9g.hk-fr),hund the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbi 0 y8g8 hmauhyzjn**-ft around the Sun z*n*j8 uygmayh f-08h,

  Let the average orbital radius of a planet be R. Let thbk(t9mghd- t.m7m2h j )xenpsu u-r.4e orbital period be T. What quantity is constant for akbnmu-xum-g.j 7tt.hms2()h 9edp4 r ll planets orbiting the Sun?

  A planet is discovered to orbitc*+ okf fa9/ xnpy6+yk around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times th y/xy fckaon+f6p* 9k+e 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 th:kk vqm qo647:fa oq)ze Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is thqk6m :z7qookf)vq a4:e asteroid's average distance from the Sun?

State Kepler's laws.j6+nlz rt,vds1 q34aw

  List the four fundamenta ,pbjvcwzpd/9 zwtus - t ;ab/o3(c15rl forces in nature.

  An object moves with a constant speed of 30 m/s on a circu.5sogk/-jhzev e/ 4uilar track of radius 150 m. What is the acceleration o4s/5oi gk/-hev.u ez jf the object?

  The maximum speed around a level curvel11u bammkt(c z19yhzq6w3df h 7k8g/ is 30.0 km/h. What is the maximum speed around a curve with twice the rad(zt18gm71 z q hka/ck36um19wd fblyhius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a poij wi wq9xfene..*jb;nh -6ih,nt on the perimeter of a bicycle wheel of diameter 70 cm wh 6w.9,bf.* ixwqjehni-e n ;jhen the bike is moving 8.0 m/s?

  A point on a wheel rotati3 . fjxh zegamv 4ng1c;.yh:2fro 6fu,ng at 5.00 rev/s is located 0.200 m from the axis. What is the centripetal acceler: 6goany;fe.,fgrf uh 3 z214cmvhjx.ation?

  How many revolutions per minute must a cztj7 a5hprx nlh; /:l(ircular, rotating space station of radius 1000 m rotate to produce an artificial gravity la/z5j t7h:l pr nh;x(of $9.80 \; m/s^2$?

  A motorcycle has a mc -++rizqn93s rf65pd8wvmq* uzne9y ass of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h.ueiwq5n3y +nzp 9rr8mc +sv-q9 dzf6 * What is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end l2 u48bdpv y*h+gx2i dof a 1.0-m string. The system is whirled ingb h vpy42*l+u8i2d dx 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 not to break?

  A stone, of mass m, isbz l8 noaj uqgwsii //.tra. ;33k0iw2 attached to a strong string and whirled in a vertical cir3;tko a32ji li/wwug 0/8r.zq.i abnscle 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 and whirled in al9 4w: qwfp:uc vertical circle of radius r. At thel4p w 9:wuq:cf 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 given by

  A jet plane flying 600 m/s experiences an accelenlj2 h pofn. *hmn+t41wwgb3, ration of 4g when pulling out of the dive. What is the radius of curvahwgn w32bjf+*nlp h1tm,4n o.ture of the loop in which the plane is flying?

  A pilot makes an outside vertical looq s17e*9jxwtlp (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loop he t1j7s qx9lw*eis 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. What 9zs 69,)tef:d w +s:se dz5 b4tncxon0i: spasis the minimus9ds s+)fs :p64:e zo sci5bzat09 n:txwe,ndm radius of curvature 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 horizontawor ;)i6m ald;6zdl8ql curve 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 la lo66dd;zm8rqiw );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. Therr zbhg vc0(oywb, 6:/ centripetal f /b6h0r ygc(vr:,boz worce 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 speed of 14 m/(.dg53 h13 0pirer ;qdwyj n oi3imqixpap+4 6s. What must be the minimum coefficient of friction between the tires and the road for the car to make the turn46 yd.1x(3 q i5ihpapj3qdrg;+or0m 3ieiw np?

  A car is moving with a constant speed v around a level curxuyly+v0 3jgckzgj h1mfx6 (3 r11r ,bve. The coefficient of 3h+rlbjf,1cy x1g6zgr3ym k( vx1ju 0friction 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 road?

  What minimum banking angle is required for an Olympic bobsled+w5 r5vbls.w0*6rlq i :wlpxv to negotiate a 100-m radius turn at 35 m/ss6lp .xrl: +iwwwq5v5v l0*rb without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is bank7xzi nj9b 5vg,ed 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 mbd0p hf 3c xa8xla9bccfb ,15(, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 .*5aljoqe) dnm 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 rev(z4jy a 2*)d vjmdc3 iabsmd3,olving uniformly in a horizontal circle of radi,jd)4b 2 smdzva djya *3m3(cius 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 acceleratm0;d i esnyt nr3qhc0..byvs4 /;:kr jes 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 numerical v 40e;b/r jmkyyvt;cri3. .sqds0n :h nalue 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 1e :-p* mxjjgkzri6ly t:h72va 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 forcdg+e, p-ut cg9e on a 70-kg person standing on the Earth, due to the Moon? The mass of tdgc,eu t9pg+ -he 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 twoasd v7kg+ke6 ikf+)w4 masses is F. If the masses are moved to half of their initial distance, wha )ka+wve6f d4k igs+7kt is the gravitational attractive force?

  For a spacecraft goingq a* pf7pfuq0 e4dg.(mllh4 +zx vma.8 from the Earth toward the Sun, at what distance from the Earth will the gravitational forchfmv f gq(ea0.lmqlx.+4ap87p*4 d u zes 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-i 2fbzs y71v:kbwlm m:n*)e 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 "ss4pk+m77ell e pace-walk" at a distance above the Earth equal to the radius of the Earth. 7mlee7klp4s+What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surface will g+i*hdl+y n,fg)zul,the acceleration of gravityi*+d)zy lg,gfu +h,l n be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance aboveiqz 8q7/qx+ 6g;ehw fcu53y gi its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleratg /;w3 ci6fixqy875+hgqquzeion of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the accelerat,al l*e2 m2 f,eodnvl s,;zb9 nrjjl)-ion of gravity is 92-eslmb ,z; n,,)2djj lo*erfl vlan$32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on i*e)h(o-b mbbdum6q 6 the surface of the Earth. The Earth has radius r. If the object is rai *m6bm -bed(uhi 6)qobsed to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change when he goes frot en (e.iscz3).4ranua/.owht8 y w x8m sea leveexr .(wni48.8ec n zh/a oatwusy.t) 3l to an altitude of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100a-xl:jav2ad*u1d d t5r6xz x.m)ku 3k kg is at a point 3r above the Earth's surface. What is the satellite's wd.zxvku3umxr2 d6-a1 tal5d x)a:k* j eight?

  A spherically symmetric planet has four times the Earth'sv/ig spn6ks e:y+xjz30 *7+zu k fc-vh mass and twice its radius. If a jar of peanut butter weighs 12 N on th/zk- xp+*yfkshv us 6:c 3j07 gezin+ve surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sue,t.8vr 0komw b+js*(rp )pjhn all lie on the same line, with the Earth between tjek,) m8owtj(.+pbhsprv* r 0 he Moon 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 Moon. d fr:q)e qk3 m4k-cgo.
(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+aua , *6pcwh6zzv3 eu the Earth (i.e., it just skims the surface of the Earth). What is the speed of the sh z*cp3 wez,auv+6 a6uatellite? (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 oo 8t(b5 n8epedq2k;lskims the surface of the Earth). How long does it take (8et p2ebldn5o q k8o;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 -* 6ob5dmby9xt +en qpthe surface of the Earth. It is observed to have a pey-*d6bn+5 9b xemqotpriod 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 Jupiter, has an or9lh zrng2hvc , cnj+3qe*,9n cbital 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 plane99oyix uyel)k/w//hr0 d2ox ct 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 i ,rmyk1g d:8od+ml,aorbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How l1,md adiy gm8:or+ k,long does it take moon B to complete an orbit?

  The planet Jupiter ipehyl1rwp-h 1bz (o-hx:)8k ds $7.78 \times 10^{11} \; m$ 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 yearstkdv:rug5v-y x v8,2 e to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from 5yv red8utv:-k2x g,v the Earth to the Sun is $1.5 \times 10^{11} \; m$.)