Is it possible for an object moving with a constant speed to accelerate? ves)1i qh v:rj9zm97x6zq k 4bExplai94q1i )bz9xh s qrj:zk 6mvve7n.

  Consider a particle moving wit.0e0wwx bn;zpw dcj (2h constant speed such that its acceleration of constant magnitude is always perd .;e 2(wnwzcjxwpb00pendicular to its velocity.

  An object moves in a circular path at a constant speed.1hdt86c (z e.pyp:. i vejmw.z Compare the direction of the object's velocity hp:ziety 6.( cm8pw.de j zv1.and acceleration vectors.

  When an object experiences uniform circular motion, the dir.nhnn 4e8x;sqection of the acceleratiox48; hs nqn.nen is

  Consider a particle mo r 4jel :nmz)utj 3nx62o6ee6uving with constant speed such that its acceleration of constant magnitude is always perpendicule)zl6j663jn x 2ee4rmotu :nuar to its velocity.

  What type of acceleration does an object moving witle pv;mr;iv 0;h constant speed in a circular path experiv ;lpi ;e0vmr;ence?

  What force is needed to make an object mgv(zj i qmy/3*ove in a circle?

  When an object experiences uniform circular motion, the directq 9o momqn z91q05v:haion of the net force 1nq zo0mvm5: oqq ah99is

  A roller coaster car is on a track that forms a circular loop in the v-,ju ku6-b.uwx3/fru ml ofp9 ertical plane. If the car l.ujkr bmuu-fu/w,x - 9p 3o6fis to just maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms a circular loop (radius: cay:c7kop +cz9 wd)w = r) in the verticac c y +ow9kwc)d::p7zal 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 veryuav .iwh+ +asx2 .5 vq:f.bg7y oeyw,tical dive then follows a semi-circular arc until it is going straight up. Jayi.+:+ev5 wa7qyvxbo gf h., 2ws.uyust 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 mhea gcg*21h gw2 -b+zcurve 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 sz9qhv1xg t- b+peed 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, cozvb +-qgtx h19mpared to the first time?

  A car goes around a curve of radiussre lg5adsoa1sd7 :2*9:8p qlpzci6 g 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, compared to the firstr5 p*p6 s zgcd 78a9l s2qaodis:l:g1e?

  A car of mass m goes around a banked curve of radius r wi9 an,dez z ke)vyp8vgn*q379bth speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the hor87 ,nazn 3)kzgvv9 p*d9eeq byizontal 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 same2zqs 8d7l/ti -*f w erd+h+wia 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 crsa l izqftd7/ i+we*h8 d-+2wurve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the5djbf1a 2tc)e-8tm y i Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out of the turn. Why do 5-it2cy)bj tdaem f18 they do this?

  Is it possible for an object movinft s06cxn-c v:ri- jm8g around a circular path to have both centripetal and tangential ac cf8t sm:x-n- v6i0jrcceleration?

  The gravitational force be)bqb8bea 4t,nonz-a 1tween two objects is proportional to

  The gravitational force be8jwp6 j 70*bvvs8eb wbtween two objects is inversely proportional to

  Two objects attract each ot5w6o 3(z d)memt+oi:4ybpya gz :lp o9her gravitationally. If the distance between their centers is cut igd:65) (ly39 yo mie:+o z zwmb4tpopan half, the gravitational force

  Two objects, with masse kfabho*g: bpy/4)oe;s $m_{1}$ 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 masses7br*v9/ m mw6ets0otl $m_{1}$ 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 ofcv0ph 5-p0pj(oj vjc1 universal gravitation.

  Compared to its mass on5 eeoj19.n(c ioi+89(2s ozrjcwxfdw the Earth, the mass of an object on the Moon is

  The acceleration of gravity onlh6oqw- ch/1 r the Moon is one-sixth what it is on Earth. An object ofolwh c/rq1h-6 mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, g57.k, , g9 ix0h hr x+kpagxhjkr8n4lthe rocket's weight

  A spaceship is traveling to the Moon. At what point is ig:9 da3d,wpa pt beyond the pull of Earth's grw3 d,9pagdap :avity?

  Suppose a satellite were ore :+*jkexi9d zbiting the Earth just above the surface. What is its cxk+eij *dez :9entripetal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius of twn7)tjso2- 3d1bfnlq -b nxz-yice that of the Earthb )x2yd31zf- s7jtnqlo n- -bn. What 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 *m7;b2eb1payn;l dyw is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earthy7d baem ;1y2w;b*lpn 's?

  Two planets have the sameayy fwrm 7d .lbue99ik:xn2-7 surface gravity, but planet B has twice the radius of planet A. If plinek9x9wd .rb7a yuym7 2f:-lanet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but pmxur28: 0hbr;y6eq3cbi ipt,lanet B has twice the mass of planet A. If planet A has radius r, what is the radi;br p32th qixymie :r0bu6,c8us of planet B?

  Consider a small satellite my1y1z j0gh4 pqoving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's or1qjgpz1 0 4yhybital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same owj jrnh w.- r, 5mse54(:e,ftbafn+aorbit. Compnm aj:sf (j+.fh4ow,-5e wt, beranr5are the two satellite's speeds.

  A person is standing on a scale in an (s 4ugd,qnhr81fnp+j elevator accelerating downward. Compare the readi4+(nspq1 , 8ugnhjrd fng on the scale to the person's true weight.

  Who was the first person to realize thaap g7x-7h/ *adlqii 0it the planets move in elliptical paths around a 7*ii-lphx i/7a0g qdthe Sun?

  The speed of Halley's Comet, while tra eua 1 ljy6t 9o1))l6nuv2oheiveling in its elliptical orbit around the o6tlu6hvl e ayjoui19 ))en21Sun,

  Let the average orbital radius of a pl 3 n:3h3tv qeva*,dtzvanet be R. Let the orbital period be T. What quantity is constant f dv3tzvq:a,e *3vth n3or all planets orbiting the Sun?

  A planet is discovered to orbit v*z:f )ybnwwdet9jr00b r ;,bsawmj1ky/ : u4around 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 Ear r)9;b: ytwvnb 0zw/ 4*fej,0dabjk:uwy1msrth's orbital period?

  The average distance from the Earth7 k6 de)8qjsc 8r1;3xxjx2wukxzd;e b to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. Whatdx2 e1r ;8xsjjx beczk73)wu8k6dxq ; is the asteroid's average distance from the Sun?

State Kepler's laws..rtp3qgi4z. cm( ej z(

  List the four fundamental forces in naturet/y uf8zb k;by+3:o uy.

  An object moves with a constant speed of 30 m/s on 4 dbg0 g6kvabihkw9qd* ( x0e*a circular track of radius 150 m. What is the acceleratio(qi*dh k4kd9xbeg g wa00 v6*bn of the object?

  The maximum speed around a level curve is 30.0 kmfo ,:lj-52bbiod+vq 0t-l rn )ai +plc/h. What is the maximum speed around a curve with twice the radius? (Assume all ot2djl+r 0o,o+:nvp)lb t if- iacb5-lqher factors remain unchanged.)

  What is the centripetal acceleration of a -d s4n2tfs+n qpoint on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0 4tnqsfd -+n2sm/s?

  A point on a wheel rotating at ls mmv:zu4pu-ae ( 3k)5.00 rev/s is located 0.200 m from the axis. What isak4u: m3p(els v )zu-m the centripetal acceleration?

  How many revolutions per minute must a circular, rotatigkso; 1j *ac+bbv /+qdng space station of radius 100vako*+c b/1db;+q sjg 0 m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a maskur 08t.py498usjly xgf9j .as of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centrip fu jrus ak.8y49tg.xjpy 908letal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a uhd6:+htnqk 8pnk0h z9m .p;ynj,+mf h8e xt;1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350xjmp+ k+ 9eh.hh8, pym:ktnquzn 68nd;htf ;0 N. What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attach n*yjmoum-yid mo/0 *8ed to a strong string and whirled in a vertical circle 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 po mod0y*i-ymo/un 8mj* int is given by

  A stone, of mass m, is attached to a strong string an*:e/ z+kpwg.;e qetp hwxy87d d whirled in a vertical circle of radius r. At the ekq;:tg8ph* +xyezdw . e 7/wpexact 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 accelerata6 fz6 lclzh5)ion of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane is 5lah )66zz fclflying?

  A pilot makes an outside vertical loopsxi e* n(v3f/i (in which 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 v(si3/ife *xnonly one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weight. W*g )4m) jz-qsrmouj 3lhat is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate*)mo zgjm qs3ju4lr-) at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius h oq-oa g*5g knl2*btl9orizontal 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*9a *-kgqol2b ng5o tl between the car's tires and each road surface.)

  A car is negotiating a flat cdu5i .k fao77hurve of radius 50 m with a speed of 20 m/s. The centripetal force provideuo7h i kda5f.7d by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radigcnc e8zqid ;(c:/ox+us 50 m at a speed of 14 m/s. What must be the minimiqc ;gncoc( 8/ :zdex+um coefficient of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v around a level curve. 1sq ct.j 4fl++sj a5n 7a7wlih The coefficient of friction between the tires and the road is 7+htji1f+4 snac 5ql awlj.s70.40. 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 to negotiate a 10 wza3 iw,28e6iu uycp:0-m radius turn at 35 m/s y6 wi8up3i2z ue,w :cawithout skidding? (Ignore friction.)

  A horizontal curve on a bobsled run i,salgfm qpe8 o)x.h; pj x+j57s 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, ow;0+0 ta;8x tee(y hvgbu0rv; krpy:banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80k)tnn9k9ik.a ty8:z73kceucd/ d y/o 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 stringit(1 l (kh.ywjt5 ccge4, iy9r is revolving uniformly in a horizontal circle of radius 0cy9l c t jkght(i15 wi.(y,4re.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 unif :o3 f06evtcpgorm rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill 360c vt:epg foin 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 ofz:n j)rjrd;k 2 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 forcshqdg+(b +w :se on a 70-kg person standing on the Earth, due to the Moon? The mass oh(s gwds +b+q: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 force between two masses is F. If the masses are ms(wl*kce39 y9 mwub d5oved to half of their initial distance, what is the gravitw ysc( 99wm53lk*b deuational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distzmak*,b*t/cg6 . ii+ps6 quu1 8wmsxsance from the Earth will the gravitational forcmic*p k.1u sat* 6qz,6mb/wguxss 8i+es 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:2 os /ayhkn: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 for a "space-walk04 f ,b 95c 22 ubi88uzpoakggcsifck/" at a distance above the Earth equal to the radius of the Earth. What is her acceleration due bz8u9gko f4, 0a/ fi25ccu2kbs c8i pgto gravity?

  The radius of the Earth is R. At what distance above the Earth's surfass, u0k/m)/ff taurv3ce will the accele)v0,s3 af/ t/frmksuuration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its sur o2t n.4fb- 7glge7b)pz.eyb oface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleratge2bobt- .o 7bzgnl)f4 .7ep yion of gravity on the surface of Mars, is

  At a distance of 14000 km frc7( gpjxm0rt -om some planet's center, the acceleration of gravity is pc tx(gm-7j0r$32 \; m/s^2$. 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 Earth h yjb2;gw0173kp el7k gblxte+vc1j+hi c3 kf8as radius r. If the object is raised 7 cf7ljci;xe 31ty 1vlbk w3gpj++ gkh2k0b8eto a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does thed:bgi/6a9a1 ne uste7 weight of a 100-kg person change when he goes from sea level to an altitude of 500ed17 u:6 /9ns atbieag0 m? (The mean 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 poinp 5od2rpn:: 5hysceqa/f 3tq*t 3r above the Earth'sp2oe/:*d:q p 5qn 3rhcyat f5s surface. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth5hlx ay.;mbb d9n,bt9 's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would59ba,;9bt.d ml nx hby it weigh on the surface of this planet?

  During a lunar eclipse, the Moamg*z;7 nt m7ton, Earth, and Sun all lie on the same line, with the Earth between the Moon and thetn a;7mmt *gz7 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+i x-; ty+fcp*m0rwdx is transported 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 Earth (i.e., it just /g +hxjw z:3rdskims the surface of the Earth). What is the speed of the satellite? (The mean raz/+x hrd3:gwjdius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low c2t c8 vuwl(8+jetkg en/ a4rd2ircular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the+( et 4 8ev2arjdlk /tw82cngu Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in cir4t2jcgu9j:p d64tuv w cular orbit 230 km above the surface of the Earth. It is obser6 2 p:ujucvtwd44tjg9ved 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 Jupiter, has an orbital2 hy96wri(2w3s.1n ld 2aimf0repea l 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 tt/cr0hb/ t t;c7qs0wghe 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 planet in nearly circular orbits. Moon A has orbital raw5fkkr9 j97svj t mhv7 w 511wb8(okpadius r 78mbv(f hjsa9w v715r k1k5o9 jptwkw, 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 an orbit?

  The planet Jupiter in,(z / m+:fagrrqnvydlb6 /i6s $7.78 \times 10^{11} \; m$ 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 once. What irzq.qtv48gd g,n7k-t *pne 2v s the average distance from Jupiter to the Sun? (The distance from the vr nv,pq7e* 2qz48tg k.nt-dgEarth to the Sun is $1.5 \times 10^{11} \; m$.)