Is it possible for an object moving with a constant speed to accelyv, 6 wa+j mt*6rvxs19qo(vsjerate? Explain.vv 6jt1(msoj9+q xs* rvwa,6y

  Consider a particle moving with uptk1p/oz9syc8o ae2 17 o6 db,g yv-sconstant speed such that its acceleration of constant magnitude is always e8t967pyga21uocsbokd yvs1 o -,z/ pperpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the dire9:tqo(t i1j qcction of the object's velocity and acceleration vett qc1jiq(o:9 ctors.

  When an object experiences uniform circular motion, 4e xfg fg kl2l0k68j4m.x51 j kvpyuk8 the direction of the accelemkgu2 e fy4lvx6 k8j 18x4.g50fjkplkration is

  Consider a particle moving with constant speed such t0v1cvv0i4zi a 5w(k vkhat its acceleration of constant magniti 1ivvvkwz(v0 c0a5k4ude is always perpendicular to its velocity.

  What type of acceleration does an objev14 t87lt(9tmq qev blct moving with constant speed in a circular path e7tqlv8 qte9v4 t(1l bmxperience?

  What force is needed to mt wf b6v9q1h4tr;e5vkake an object move in a circle?

  When an object experiences tddq+0 woku*f/k7kzu,b 7p (uuniform circular motion, the direction of the net force id(, * koduk7fquk0+wtb pu/ z7s

  A roller coaster car is on a track that forms a-htaey5r( oxc. mkoet r+62i+ circular loop in the vertical plane. If the car is to just +io+ mte6t rx -yr2(eoa 5hc.kmaintain 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 g vkpb 0)1 d)qzr/8avawgj/ n(cd4to6that 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 it)qac/r/gz (k6 pgnv8 wv4d a jbdo10)ts speed at that point?

  A pilot executes a vertical d je g9 rym/ yrh))ay3yv54vqm,ive then follows a semi-circular arc until it is going straight up. Just as tr/v ymy )9mg hr4jae3y,q)y5 vhe 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 cur95*b,bh5s2 wl4 g kywoc-isbvve of radius $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a cp,8alz ld xx0 .;jwzj fq+0ue:urve of radius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripeta+xf qxe08 wl:j z.zd jl,0a;pul 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 atq 3echsn q1f1:b.lkv g5gxn *+ a constant speed v. Then it goes around a curve of radius 2r at speed 2vln ex15q :kq gs+.n*1cfhvbg3. What is the centripetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes aroae2u5mwsg )9 ztd26xf4vhe6 nund a banked curve of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizon 4u625shexv)6dfzt 29ng ew amtal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are bakfvu2 lqq g8.0ah1h8k v z4ho8nked 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 ravq2zflghu a8vk.0k81oh8h q 4 dius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on t0ffkjde izv+4e8900q3 kw wz the Olympic bobsled track is not constant, but increases upward from the horizo q3kekfv4+0d090fi zwz8 wtjental. 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 around a circular path to have both centripewv xw-yh h0+s ommd84+2gkci1tal and tangentialscihw0mowg2d8v++ 4ykx1 h -m acceleration?

  The gravitational force between two objects is propojagw4c3m+w/s)kve 7+u4a6n yb yp2 tyrtional to

  The gravitational force between two objects is inverk vqnv;8+r .7t u3drplsely proportional to

  Two objects attract each other gravitationv rf :tv*j-(ahally. If the distance between their centers is cut in half, the gravitationafvht- :ar( *jvl force

  Two objects, with masa383 zk tddn7p.ju .sxses $m_{1}$ 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.3aq q gwa9 7;lxivfi+2,+xuj7m saqnses $m_{1}$ 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 gr)yvro(l 3iwj 5avitation.

  Compared to its mass on the Earth, the mass of an objeefv;c( 0 y(mcnp13 unbct on the Moon is

  The acceleration of gravity on the Moof*gkg3q4.rx y n is one-sixth what it is on Earth. An object of3 x*f.rgqkgy 4 mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfacee hn4y7q g 1llf1:rgla)cm/kd r+;ea,, the rocket's weight

  A spaceship is traveling to)3pn4-z,vsdcoj zw j+k a9d7 b the Moon. At what point is it beyond the pull of Earth'skdn3z,z9bv-a7d j+ p4jc) sw o gravity?

  Suppose a satellite were orbiting the Earth just above the surface. What is ,f+u)ky *nq jhtcr, wal21e,9vla (pyits ce req)(ynjl+vy *pta2kah,19, u cf ,wlntripetal acceleration?

  A hypothetical planet has a mas5xrxq* *kpxd/qyd-5 bntm4 h: s of half that of the Earth and a radius of twice that of the Earth. What is the acceleration du*5h4b5 dxxxpm*-n td qy rq/:ke 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 yfm(0czs9ub.b( voj o4y w- 3qis on Earth. The radius of the Moon is one-fourth that of the m(zqf.3 o y9y-(ocb ws0j b4vuEarth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B hgejm7;.f mx4i as twice the radius of planet A. If planet A has mass m, wh7 4ejmmi gf.x;at is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice the mass zgn 2u 2mu5q ,bkdvi e*xq57j;(l1hr lof planet A. If planet A has radius r, what is the kd;lx 5v,(5e nqlmz72 j*qbr hgiu1u2radius of planet B?

  Consider a small satellite movi lw3f* 5*bn5odnj i54meyvlzxsw3 / (jng in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbbse*3zjj(n xmlvl* 3/y5w 4 in5of5dwital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbitw;6nu p :ayxl:hxi)n:s-k qf .. Compare the two satellite's .h nsw u:xa-k:ip)l: yxn6 qf;speeds.

  A person is standing on a scale in an9pv 6v(laq w1( vnbwc7rts d;/. mmy7n elevator accelerating downward. Compare the reading on the scale to the person'69 (7bt(adr wl /vmp;mv7n. qnc1yswvs true weight.

  Who was the first person to realize that the planetsi(o;b fyf *yo/ move in elliptical paths around th/i oyo;bf*y (fe Sun?

  The speed of Halley's Comet, while t07.hohfsm9jqx/m 8dgpfy, a ;raveling in its elliptical orbit around the Sux/8a. 0phhmq df9 m,sjg;f7y on,

  Let the average orbital radius of a planet be R. Let tj q:pyyok;si:e s,vd2/ xx,w:he orbital period be T. What quantity is constyq2x,/w;:px, sdi okeys vj:: ant for all planets orbiting the Sun?

  A planet is discovered to orbit aokd8h/y*q n7bxu(jrp eys7 3 3round 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 ou 7(h q3yy*rb 8pk3dejoux7 /snr 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 one "astronomical up/ ;spm)7rr9j5abt jsnit" (AU). ;)prj abpsmr5jst79/ An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.v, 4((mdemnrq

  List the four fundamental forces in n-3kyeowu (bn7ature.

  An object moves with a constant speed of501 ) et ) 8ftqwm)ypiy/dpouu 30 m/s on a circular track of radius 150 m. What is the accetie 0/u)fquyp po81)w5tmdy)leration of the object?

  The maximum speed around a level curve isl hvy:. 9a-joc 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remain unchanged.) ach-y9jov.:l

  What is the centripetal acceleration of a point on cj2tn e+(w sm6the perimeter of a bicycle wheel of diameterte(+jncm2w6 s 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m fr6/jd9njk3qo c4aedi1 v f 4o0e9u)o ujom the axis. What i0dqj4 fnuo 3o9jui ajecd6) ko14 9/ves the centripetal acceleration?

  How many revolutions per minute must a circular, rotaa()2ivua/pj l 8 3ckbdting space station of radius 1000 m rotate to produce au3p/kja)2dci( vl ab8n artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turn ati +krnh/x f+/ xyd:7mn 96.5 km/h. What is the centrip+hryx / f7 :+nix/nkmdetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m stc ,69cvxh(b/ v8npe r-wjkp:ering. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximum speed ofv6evc:8,e /kpnjb p(hr-xc9w the mass if the string is not to break?

  A stone, of mass m, is attached to a stplp3n t4mjt sp 7)bq; z:4:wjhrong string and whirled in a vertical circle of r:7lszt pjht4mjwqb3 : )n4p ;padius 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 a vertic7 afytbzr q3f7b,5wz: al circle of radius r. At the ex3tzz7r5a yb,bw: qf f7act 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 acceleration 40k4d hmww(oo of 4g when pulling out of the dive. What is the radius of curvature of the lod(4o4 0khw wmoop in which the plane is flying?

  A pilot makes an outside vertics rs2 zz7oqrjk;,-e6fg)*ifz 8k1ar xal loop (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing da12 egsf*8kojr z-rr7zx; z,q )kif s6own 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 timno y0;y:gg( qg* nq9tr jr:7qfes his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 2gygq g(0 ;yr9j*o7:: rqn nqft50 m/s?

  A car traveling 20 m/s roundxu6kaklivr9 5y6 ; .b eb;od7es an 80-m radius horizontal 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 coi6ua dr9 le6bx okb5k;e7. yv;efficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m with a speedmo2t* m w3jiosg*s+e+ of 20 m/s. The centripetal foje2gs*i s*mm+3wot+ orce 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/s. 7a n:2hfulv: v8kyts , What must be the minimum c :h ufl:a7tnyvs2,k8 voefficient 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.mb )hybe: 8)v wjqq/wk0/,p vh The coefficient of friction between the h)k e/8) pbwvw ,yhvq0:j mb/qtires 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 1et5miu pu+1lzky98gOlympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ili1y5+8mu9uet 1k zg pgnore friction.)

  A horizontal curve on a bobsled run is bank;x 44yh;o+vl sqmji*,cwh6 a4va;ua ved 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, b66p:3luqc ac zanked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is ban5jm/ rimyzvcy3plv7aelwr* :aq0:c17 * vb8 e ked 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 revolo luyn9.c2-maving uniformly in a horizontal circle of radius 0.502.a9 mlcn- uyo0
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 ky38+btr q(mv 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 val8 mv(kq+b3 tryue 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* r3 ta/ a,icy8v(wfyo $1.67 \times 10^{-27} \; kg$ 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 70-8w bd3xkrkp 84kg person standing on the Earth, due to the Moon? Thewd834xp8kkb r 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. .5hhee:ubsk; gh; ,qz If the masses are moved to half of their initial die,g; sh:hqb;zk u.eh5 stance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward thel 9e4w *b7pu*v7qt1j9 oyqtzk Sun, at what distance from the Earth will the gravitational forces due to tobt*9up47 jk eyvt17*qqw lz 9he 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 7a jod0)y.mcy3 u/opf$7.4 \times 10^{22} \; kg$ 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 Ekl +ve/drol(: arth equal to the rae+krlldo(:v/ dius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's smbhaobaj+o)99sxy32 ucr h7. urface will the acceleray7b oara ho 2+9x)9bm.hsju3c tion of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its s y/x wlx9lnl 9./*kapxurface equal to 3 times the radius of Mars. The acceleration of gravity of the satellp*waxxyllx/ 9 9/lnk. ite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some pla,b0 h3oe*q shcadw( )dnet's center, the acceleration of gravity is bswqh0c)3aeh(o ,dd* $32 \; m/s^2$. 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 El v y /xi urd*b)17nz1suzy.)narth has radius r. If the obrxvul*)1sub 7z.1 ydz i/)nnyject is raised 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 persooe 7,jlu+3j bzcoa-ug*-olb /n change when he goes from sea level to an altitude of 5000 m? (The mean radius of thu j,bo/a -3+z*gu o7jl-b lcoee 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 th o dp42.agh)2 dvoy*nv)*ppi ce Earth's surfada p)ondi24*hov.) v2y p*pgc ce. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass y r wh4to54im(kf zzujwa4i9e05my;odbh 5.+ and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much wowzfmz0 4 5 .4ok5ahtdyo9 w;5 yrhjie(4mui+buld it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the same li4ivk0y a i1d6qne, with the Earth between the Moon and the Sun. The Moon has a massa 4i1d60ikyv q 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 Moonc qhi1cy6r / ct9x4mm:.
(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 skims toepci0ms74( uhhat 9:he surface of the Earth). What is the speed of the sc mp4uh it:a 0(oh79esatellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular +*d cqq9w,d- hw vgq-korbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean rakhg*v-,dd+q cwq9- qwdius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surf1zxth7o/8bam4,hp-v mt b)s3 )fu gbdace of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean radius of the Earthhphg3) 4t b bx7,bs1ofaz/d8um tvm)- is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter oc)vj2jx k0a 6cf $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits the planet with ,z +ixrnkjsu(2 :ud4ta 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 orbit.h,y /p3a+ bx/uve ojq7x (pfes. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How lona q b37pjxv/. oxhye pf,/ue(+g does it take moon B to complete an orbit?

  The planet Jupiter ih4we r80oet.b 1 9 r2g ud,ojkthah(.us $7.78 \times 10^{11} \; m$ 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 is c,wwt,x, nn tl-*f/t3f,ciydthe average distance from Jupiter to the Sun? (The distancdfytwlc-w /3f,t *,inxn c,,te from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)