Is it possible for an object moving with a constant speed to accelerate? Explawd;t-h u/t u.vyz,a-i:qrg2uinda w,. /u;uu i2-ythtv zq-rg:.

  Consider a particle moving with c pl 5,1zasck1 gunw+a,onstant speed such that its acceleration of constant magnitude is always perpendicular to a1 ,+un5ga1wk zcl,p sits velocity.

  An object moves in a circular path at a constant spee7n9byw8n k26 3qdrtw fd. Compare the direction of the object's velocity a79bytnfdw2nq k r86w 3nd acceleration vectors.

  When an object experiences uniform circular motion, n/.)wl: yi jsdo4j c3)zx+k7buqjse5 the direction of the accelerausk ne)o 3jyw zs+j)4.qjl57dxb/:cition is

  Consider a particle moving w +-sz3ce tq/dgith constant speed such that its acceleration of constant magnitude is always pegcstz eq+/d3-rpendicular to its velocity.

  What type of acceleration does an object moving with constant s+dwnwvrbvyg 2x, dfo9l 3u:q3z mui0 la:.w/6peed in a circular pa:d3+v90 yqwgmi/v3 u z.abuwor ld, l6:nwfx2 th experience?

  What force is needed to make an lr)z-t.s +mb2( u,39 hyztzcqm v9ndnobject move in a circle?

  When an object experiences uniform circular motion, the directc g0,q,ktrr l.ion of the net forcerq,,0 gr.kl tc is

  A roller coaster car is on a track that forms a gn9q6kj*j ,a- p ux(docircular 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 centripetal acceleration at th d*gqopxn-jk j a,(96uis point?

  A roller coaster car (mass = M) is on a ,4 zz4.cwn 9ejf4/xhx m2gwd ezl+5amtrack 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 value for its speed a49nfmd ch4,ajewez/2 l5 gz+ m.wxx4zt that point?

  A pilot executes a vertical dive gcayt+*a 9 +oethen follows a semi-circular arc until it is going straight up. Just as the plane is +cye*a a ogt9+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 ps 9z3rupj5meoe6e 5( 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 sprxb mx*q* i4sfom8.9 peed v. Then it goes around the same cu.f b*poq 84*msx9imxrrve 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?

  A car goes around a curve of radius r at a constant speed vffwx.g* ,v ld t-y35bb. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force tf5y *. vbb x,lgf3d-won 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 speed v. a7kmhg uj:5,qIf the road is frictionless due to ic 7amjuqkg:5,he, 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 a bobsled run are banked at the same ana lqlejb)p mx-,*g l79y(s0n agle, 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 t-llbga(s0) x7 p me,*n9ylqj ahe larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is n w6,ifs:z zk* 4+gkemtot constant, but increases upward from the horizontaltk:64wgzs, if*km+z e. 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 moving aroer )il960j8 lwv3x 4eqgk;gkasj,+xw p -so.qund a circular path to have both centripetal andlx v.)w6r3psqkexs,iw- 0e; gj+lj8a qgo9 4 k tangential acceleration?

  The gravitational forcmsi/5qo6k .;qtn p yp4jmy i*5x.+g5cvrlcm) e between two objects is proportional to

  The gravitational force between two objects is inversely propor*bf05z ohrto, tional to

  Two objects attract 7x*m(jun8 xpbjurv8j fpf:4 :each other gravitationally. If the distance between their centers is cut in half, the gravitationajxj4m78 xp: :( vrb npfuju*8fl force

  Two objects, with masmdvz8lp5wd9 +wrq9k1tzzx6 zj 263 nises $m_{1}$ 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 mn ltc,g.33yn8vd t3q $m_{1}$ 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 gravitatiu gx/17yy9 qi.vp u atha5do7+on.

  Compared to its mass on the Earth, tnpujb /8zeni5rbyc2vw:. le.7 wrv09 he mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. A *nu20j hec/noc1 am7sn objecth e027n/cnaj1*c umos 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 weng9g/ a9uf rb2ight

  A spaceship is traveling to the Moon. At what point s7usf sl c3,eu)24od nht6 y-bis it beyond the pull of Eau bslf34hesdt 2-) 6no7u,ycs rth's gravity?

  Suppose a satellite were orbiting the Earth j iv5gr.xkr*4 g(s5o(q cp yju;ust above the surface. What is its centripetal accelg 5vox us.g(y*i ; r4rkc5jq(peration?

  A hypothetical planet has a mass of half that of the Earth and a radinl4w:k4d b m aoid at2.s,pw2)us 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 E.4 t2a m4b l:wwn,dsdap2k)io arth?

  The acceleration of grvs(a)+beu. k vavity on the Moon 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 m.v vke+ab(s)uass compared to the Earth's?

  Two planets have the same surface gravity, but planeb6t4y(c+tt cn.8cb ge t B has twice the radius of planet A. If planet A hact(8ncbc g+yt etb64 .s mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet Bl 5s9dsds f 9ru/,s8ny has twice the mass of planet A. If planet A has radius r, what is the radius of planet s/5fnu lsy, s9dsr98dB?

  Consider a small satellite moving in a circular orbit (radius r) about a s2yj5.1dawjgt hr7/p4x -ddxm pherical plaghwtad/1p 5 xy -dxj.2jrd7 4mnet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbit j*:tit0spw z8uv np:.. Compare the two satellite'sp jp.:tnwv: su0 i*8tz speeds.

  A person is standing on a scale in an elevator accelerating downhp8ju42pu6a 0 nby2oi ward. Compare the reading on the scale to the person's true wehan2ypojb 480u62ui pight.

  Who was the first person to realize that the planets move in elliptn:g:tpuz fd tu+q*8(rical paths arofgdn 8*rutz:(+p uq t:und the Sun?

  The speed of Halley's Comet, while traveling in iq mczu8 p5e+3bizz b7/b*,ge6d ugk2bts elliptical orbit around the Sun bbz2 +b*z3 i6quz ,kgg/pde7mb8 5uce,

  Let the average orbital radius of a planet be R. Let the orbital pea ,rst, iuk3 e3tuijig556jk9riod be T. What quantity is consta, tseg6k ,53u k53iti9ijurajnt for all planets orbiting the Sun?

  A planet is discovere ggnztol4)07j0 xt, g.ho6jeed to orbit around a star in the galaxy Andromeda, with the sn74lt h.)o6 z0gjg0tjxg, oe eame 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 Earth's orbital period?

  The average distance from theq;hf/u 9kcyy5 2kyu by. (qhw) Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance q2 5. )wh /by q9f(uykyykhuc;from the Sun?

State Kepler's laws..*lr tzo9 gb)jl) 4xqu8em wh5

  List the four fundamend vazaapw/n:w a*a.dw;q 9i 8*tal forces in nature.

  An object moves with a constant speed of 30 m/znkjg oo-bx 0g99z :m,s on a circular track of radius 150 m. o9 0jb9k-zx:oz m,g gn What is the acceleration of the object?

  The maximum speed around a level curve is 30.0 km:yhsef8 s xq u;lr9xc242pk; m/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors rema4;shmy kcresu: 2 p8x2f9q;lx in unchanged.)

  What is the centripektkn+wd - 5/4 tizylb6tal acceleration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is m /yn4kit+dw lz5tk6 b-oving 8.0 m/s?

  A point on a wheel rotat xjv,h vkm08u4tzy+.qing at 5.00 rev/s is located 0.200 m from the axis. What is the centripetal acceleratioy8 kju0z,v mt 4vq.xh+n?

  How many revolutions per minute must a circt.5s n1zr.8prf fab:v grh 2e7ular, rotating space station of radius 1000pvr2n1 5 .frtbaer:zhs8g7 f. m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a malm6cvq 9vui2 -ie*cn( ss of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the monc( c2 9evim *iu6qlv-torcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whirled sgt)3 zy(w ufce70 f3fin a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is thefwfyt ze337 c0fg )(su maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong s(ayxnz/ 86 lpjtring and whirled in a vertical circle of radius r. At the exact top of the path the tension in thexzjn(8 yal 6p/ 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 whhd1max qena oj0;: ;;xirled 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 stone's speed at this point is gi;xa0;a:x ejnhom q;d1ven by

  A jet plane flying 600 m/s experiences an acceleration of 4frwmd ,*3nwfb4 y3p0g g when pulling out of the dive. What is the radius of curvaturynw3b*pgw4m3 r, 0fdf e of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of u/gwju) j ay*4the 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 h)gj yauwj* u/4is normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weight. What is1zauqfd:z 3yd2t m.7 g the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 25zzgy37fq2 t1.aumdd :0 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve wytjw ;.gf+gwm08s;mn ith the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficienj t;mgw g;.y8+n0wsf mt of friction between the 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.sd) i ajkvlxw3 :i-4a, The centripetal force provid)- viil,a dja4k: w3sxed 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/s. What must b hpt*d8g ve+7ye the minimum coefficient of td87hpg e vy+*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. The coefficien;jpec , d.ol mjv.:c1rt of friction between the tires and the road is 0.40. What is the minimum radius of the curve if jm rlojc,p c;:.1. dvethe car is to stay on the road?

  What minimum banking angle is requirn b bl7-o.:xyted for an Olympic bobsled to negotiate a 100-m rad7-:blxo.b ynt ius turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsl *6vjm0 isnmb3ed 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 rade c:saqb)af6 bj+,ma*ius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked ag - dbr:o+b1cdt $45^{\circ}$. 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 ofgu 03 hlq/tzv: a string is revolving uniformly in a horizontal circle of radius 0.500/vqghtz0l u3 :
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 uniform ra10 us7id b2 j 0dl 3iosa:tjt436pwssrte to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical value in the blapdbriu023j7s3so4 tda j w 61isls :t0nks)
(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 3yic 2 l79*63pejmw:/q54 +ukm mwlfezg hv aoproton 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 the Earth, 8sekdijl07fl0 xocm2k5 2m ;tdue to the e0k;ol8 sjl 5 xmk2d0m27ticf Moon? 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 attr;9xojsn 9qc.pc qac; 3active force between two masses is F. If the masses are moved to half of their initial distance, what is the gravita 939ns cjx;qpcq.a;cotional attractive force?

  For a spacecraft going from the Earth toward the Sun, at wlf r,wfhb5e);pwq 3hwd0g lvhm x/.y37w5og-hat distance from the Earth will the gravitational forces due to the Sun and the Earth cancel )/v3g3rdg5bl 7o; qh mf,wpwwf.l-hh w ey50x?
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 is4.t- x c+:umxae-ig4dkeby9y $7.4 \times 10^{22} \; kg$ 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 f puno6e.aub -)or a "space-walk" at a distance above the Earth equal to the radius of t)oue .-nuabp6 he Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above p+x2 m*v:yc hethe Earth's surface will the acceleration e2v*+cyx h:pm of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance sw43pfuov1to, bq2)b iun mne q*5;0xabove its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared tnb4 ue23to*b vwq ,ofin) 5 qup0s1xm;o the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km frzj. r5r9j2sg xom some planet's center, the acceleration of gravity is g9 rzj 5.xsj2r$32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the s w q;c4uf;uy:f:qekvl1 i :(hlurface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surfaceyl qk::w;c;ve4 qfh li(u: fu1, what is its weight?

  By how many newtons does the weight of a 100-kg person change when he goeskjw ;u))vav+w from sea level to an altitude of 5000k;+ va)wjwuv) m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 knh(c19g4zc.grdk jsm :j,t9wr1jt.xg is at a point 3r above the Earth's surface. What is the satellite's wkwz : c1ghsj4r 1 c9n(9g.jxtdtm.rj, eight?

  A spherically symmetric planet has four times thed1e4 afy7v 3 bkrzqn7/ Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N onvrbq/17k fd n4e7a zy3 the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, anostzl *3q;/led Sun all lie on the same line, with the Earth between the Moon and the Sun. z3lq t*soel ;/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 Mo3 supsld;xx)-on.
(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 o m9 9qmzlau34brbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of lab9m3m49zq u the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbp k:gn,sv0xeu38-te t it about the Earth (i.e., it just skims the x3g pu 8:0vs -keentt,surface 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 orbit 230 km above the surface of the pz*d)h;wy s3k Earth. It is observed to have a period of 89 min. What is the mass of they z;3)*hpdwks Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, haf3urk9q+ py juwwjy5136d) lv b)ucm5hoc c 48s 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 witwko/v 5 q52mphh2: v27 ix1mn dh-ozbqh 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 nea1 h25 uln-.gyatzsps 8rly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to comple l2 tus-ay.ngs5 ph1z8te one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter i63k+l ehqqt n* awsmh:xe5 k,5lc9 )gms $7.78 \times 10^{11} \; m$ 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 th.ex5lqg0 cuk+ ,aihea;ey3b7 q ;mv+he Sun once. What is the average distance from Jupiter to the Sun? (The distance fromk eqhxu.a+m bl a5qc,3v;i0egey; 7h+ the Earth to the Sun is $1.5 \times 10^{11} \; m$.)