Is it possible for an obj3j l7e,b(kcjxb5( yh.uqu zb 8ect moving with a constant speed to accelerate? Explain3uxkb8jybcu ( e ,hz.7l5bq j(.

  Consider a particle movxshx8uh,fh 4( gw p)ij;;vi5ving with constant speed such that its acceleration of constant magnitude is alw5px xv)(h gsf; iu,v4 ;j8ihwhays perpendicular to its velocity.

  An object moves in a circular path at a const:u -( rp1jeobjo2h cxp18 x,yq8l/ozqant speed. Compare the direction of the object's-8j1 8e(zyro:hlq cx qoxbpo2pu,1/j velocity and acceleration vectors.

  When an object experiences uniform circular motion, the direction of the acxyi7 +70-fgbof twg+b celeration+ft-wxg70 +bg7 ybo fi is

  Consider a particle moving with constant speed such thahn61a4.9pqd wpchgims:h pesqo 19- * t its acceleration of constant magnitude is always perpendicul.wdhs4empp n i*1h- c99o1g 6p:sqah qar to its velocity.

  What type of acceleration does an object mov-r5x au8jjmnc..kqt )ing with constant speed in a circular pu.)q 5jk.mxat c r8n-jath experience?

  What force is needed to make an object move in a circ2e5ph w5 kur:pf.e)dz g2ws3ok,l) br le?

  When an object experiences uniform circular motion, the direction l;eu a+sc: 9lhof the net force l;+c: u9ehl asis

  A roller coaster car is on a track that forms a circular loop in the vertical pyiu wwhlur x 0w:8m4e+t 8p8;ilane. If the car is to just maintain contact with tmyr 8 0 8wlw x8;4pi+tiuhu:werack at the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) ich7i-m2a .bp 8bltg,l20iil;- mvnaks on a track that forms a circular loop (radius = r) in the vertical plane. If the car is to just mainbmacli2li 0- a mt8ghn;b,-kl2pvi. 7tain 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 sm y)(*rd ywjn3emi-circular arc until it is going straight up. Just as the plane is at its lowest point, the force on him isjr3)*wdmy( ny

  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 raru y, muq,j67axg*b-pf0i /zfdius $r$ 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 speed v. Thncjs:j .pkm -4en 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 cur.-ncmj4p:sk jve for the second time, compared to the first time?

  A car goes around a curve of radius r at a constant speed v. Then 7 yfgmp+6 zta9evbd)4it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second cdyzm4 e+g 6 ta)p7bfv9urve, compared to the first?

  A car of mass m goes around a banked curve of radius r hz4x: h-srp p 3i2e1b y:5yewkwith speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal force on the car from the r 3wrhyek:ph5 4i1xzse-y2 b:poad is equal in magnitude to

  Two horizontal curves on a bobsled run areg5s ec- +ujos ory:0m5v cj4m6 banked at the same angle, but one has twice the radius of the other. The safe speed (no friction neede5yrj osme5:sc- + 0u6mgjoc4 vd 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 the Olympicw0 .jfc(osc2g99l6q j 5l/f y5lbanf c bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wa6 n 9co(jfl5/jls5f90lcy2. wbgfcqa ll," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path thuvl tg5.j:k; o have both centripetal and tangential acceleratio: lg5k hvuj;.tn?

  The gravitational force between two objects ise( .j.a/okq;)(e)au yh utgip proportional to

  The gravitational force betweeup d+a-ytb/s ,n two objects is inversely proportional to

  Two objects attract each other gra3 sfyeze8) 5dcvitationally. If the distance between their centersy )zfs835eedc is cut in half, the gravitational force

  Two objects, with massesws:jrq 8a, r;x $m_{1}$ 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 7vjirc:un+ef- l8ls4$m_{1}$ 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 universape21uf *g,va qy6jk (-h6jmzhl gravitation.

  Compared to its mass on the Earth, the mass of an object on tf-)wzm+ o1r ishe Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on rw 9/ll b/+ u gcvl5xurq)k+4lEarth. An object ox5 r lg49qb+ v+/uuwlcl) l/krf mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the roc7:m3 .( xkv terwu0sa-9vmyw pyi/l 1xket's weight

  A spaceship is traveling to the Moon. At what point jj,b)t atun2;b5h7eicyw8m 1is it beyond the pull of Eartjn)tyu7 t;ea j2c18h, biwm5 bh's gravity?

  Suppose a satellite were orbiting the Earth just above thezmb10hour:jqkpd-vy)ov*)pp 84 i-b surface. What is its centri *kpd b--):4hpmuvobrz8ji1p v yo0)qpetal acceleration?

  A hypothetical planet has a mas1wpm/n llm.s4fyz9pm)z 6p c :s of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in nc4z )ps mfmp z:y6p9/1lmw.lterms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is spfbgze ) 6il.ton 370on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass c7seg nfozlpi.t06b 3) ompared to the Earth's?

  Two planets have the same surface gravity, but planet B has twm o 6:yk/fg/m(rmb jx2ice the radius of plmb2g /xy:m/ 6k( ofjmranet A. If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planqw3w.gs: bk mcw kp3(m8fe-eii,1 2spet B has twice the mass of planet A. If planet A has radius ws:qp1k ep3(m.2,-f8s kiwi ewb 3mcgr, what is the radius of planet B?

  Consider a small satellite moving in a circular o b.pxmcv;/ri skoqmy 9-p, ;6prbit (radius r) about a spherical plan/kvs,;6o;y mp.cmb9 pqr ixp- et (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in *5myyhyh1mv *.: / r8h 2ipukcvu ecy+r7gh:sthe same orbit. Cv +/rh uhcpy kh .y78::vu 5egmr*ys21c*i hymompare the two satellite's speeds.

  A person is standing on a scale in an elevator accelerating d kd;+g+ pri0;isl9io nownward. Compare the reading on the scale to the person's true weigh +dki;g0i9s ron+pl; it.

  Who was the first person to realize that the planets move in ej /e(p 4b/; mls+:ihtae8w5kxigr8ab lliptical paths around4 /8g+s:ejir/(bahbi;p klw 8mx5a te the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit around q)y 2( ewoazq+the Sun,)a q2z+ywoe(q

  Let the average orbital radius of a planet be R. Let the orbital periomn3mko 3g03lbrg3mz-(go wz1i p v *c+d be T. What quanl oo*03b 3 rg3mgivmwz gc -+mz(1pk3ntity is constant for all planets orbiting the Sun?

  A planet is discovered p-xb)5yvc hl e42)wz yto orbit around a star in the galaxy Andromeda, with the same orbital dia) 5hp-ybecw 4zx)l2 yvmeter 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 the Earth to the Sun is defined as one "f9zzo;ib0-0ivsmktty,j ( om;(c t.n astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid'sjoi o bfmcm;z9kt . -zys0t((v0tn;, i average distance from the Sun?

State Kepler's laws.c3 ue *ndix t6u1r))xe

  List the four fundamu; d xq6ng2hnm1x4na 3ental forces in nature.

  An object moves with a constant speed of 30 m/s on a *(n lhhsaq 2k:zofl.* circular track of radius 150 m. What is the acceleration ofslh.fl n **aoh(zk:2q the object?

  The maximum speed around a level curve is 30.0 km/hw/nrdz+ 6d4 s .qhj3fg1 th+;fly9luf. What is the maximum speed around a curve with twiclzud61 d.h9f3 g /wtqf+nl;+4fryhs je the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimetek, /*bkc4sszw .6blk) sdoy-mr of a bicycle wheel of diameter 7zbyk sk.6lw -mb/o*4s k),csd 0 cm when the bike is moving 8.0 m/s?

  A point on a wheel rothd nr+pl5c..gh+: ced ating at 5.00 rev/s is located 0.200 m from the axis. What is the centripetal accecp.+5 dlrhg:ed+ hn.cleration?

  How many revolutions per minute musdd* vregl; 8he+ovj 7;t a circular, rotating space station of radius 1000 m rl8 jeodev;;v*7ghr+ dotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It :.zu di)slr8e goes around a 13.7 m radius turn at 96.5 km/h. 8d iels.)zr:u What is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end oc n5ds.o c1j gf67gt/uf a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand istfog7 u/gsc.1 d5njc 6 350 N. What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whigrd; *ebvh+s f)f :wu;/ gzvfe o/r1i2rled in a vertical circle of radius r. At the exact top of the path the tension in to2 u )e;rfd+;hgve/fz/f :r vgiwb1s *he 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 str5llnq 11vr2 ah cxa,8c c;nz/mong string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 timex,8acac;rznnc lq5m l211/h vs the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s exp 1 v53yz5vxteyeriences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which xyv315t5evy zthe plane is flying?

  A pilot makes an outside vertical loop (in which the center zx0e7s la7t 3nof the loop is beneath him) of7ea sx37z lnt0 radius 3200 m. At the top of his loop 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 about seven times hiz+ 2-e7jwmd 4t ajs2cq8oxx6ls weight. What is thc2l+- xd q6 wojzts4a87e2jmx e minimum 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 horizontal curve wij67l zls u;0;il-qlyeth 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 car's tires and eaq0 yesz; l6l-l iu7;ljch road surface.)

  A car is negotiating a flat curve of radius 50 m wit30hee e7r . bsx8xn3zdh a speed of 20 m/s. The centripese8 7r x.hnxez33bd0etal force 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 5.bj(r+lqg ygbsut qu :zr,db9r)45/x0 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires andqrgdbzgu rq.) :4/ +ubx(tysl, r9b5j the road for the car to make the turn?

  A car is moving with a constant speegld3 yo2qd6f 0d v around a level curve. The coefficient of friction between the tires andgf20ld63qo yd 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 anglejjh02p cf2k 1 +pifjrehk896g is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignoj i28rg2f1epk j 9 kpjch+hf06re friction.)

  A horizontal curve on a bobsled run is banked ah./yg8g7kws d t 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 oeeua. tj:a/b6k nz:9rf radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bank.gj*u 6zl-e:gasy,o r6qscmnu6 v0t)ed 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 revolving uniformly in a h2 jtubydq u94,lj (2faorizontal circle of radius 0.500 uqydf(ta2lb9j4uj 2 ,
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 un tquu (f)eifhkz;u( )*iform rate to a speed of 45 m/s i*k; (tfuhf)uiz)(uq e n 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 2wr4je:n atn2bkuu6 ;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 stan *4xw+,bg6-x2p,nue japfj kvding on the Earth, due to the Moon? The mass of the Moon is ufwx2paevj*g n- bx 4j+,6kp ,$7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masses is F. If the masses54+isegd z)o s are moved to half of ediz 4)gss+o5 their initial distance, what is the gravitational attractive force?

  For a spacecraft going fr 1(lda -att3k 2d l szuyd)pu3k+k9s8rom the Earth toward the Sun, at what distance from the Earth will z+dt9k2a8 (u1-l3dys d u 3aksl)rptkthe 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 is k52hql; .- cja+5 v1laqlmwed $7.4 \times 10^{22} \; kg$ 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 Earthi.j w8vic ;a.o equal to the radius of the Earth. Wh.8.vjwi;oa ic at is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earbq 8ep cx6n3.nth's surface will th6c3 e qn8x.pbne acceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its ce (fd6kz/4)sl dg n8bsurface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Marsc)gd6nsd8b / 4k(fl ze, is

  At a distance of 14000 km from some piso6t ppj 57u8-rcw;e lanet's center, the acceleration of gravity;op5 je sw6pc7 8ri-tu is $32 \; m/s^2$. 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 :/k1tred d ag;the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is its weightte;gk:d/da1r ?

  By how many newtons dog-e2m d7gt8dpa ku3 ug0h9i 28jyhc5ies the weight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean radius of the hi2d27u9t0phk8 8 acme dgg uyig5 3j-Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at q)m7re tas3px bv :gx--5cg2ka point 3r above the Earth's surface. What is the satellite's weighc7g5 23tpvkx)ma:-qrbgsx e- t?

  A spherically symmetric c/ 85:h1l oiobrn qg87biusi/planet has four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigubi sb i: 788qorng ol1/c/5ihh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun al*9hh5 8u wlpw 73gy72prmpmi ul lie on the same line, with the Ea7mhgirmw78 pylhw9up2*5u3p rth between the 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 tradnxx j79:gs(7can r.rnsported 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 (cplmm pg;37p* d8th:4ypdxs skims the surface of the Earth). What is the speed of the satellitepdy:c*pm l;t x (4pp 7h83msdg? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circulaa 4lq;-y u8it0.ewco hr orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around th;0 - uyiqlwh t84oae.ce 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 hrq5qf; o5or,2 z7vohthe Earth. It is observed to have a period of 89 min.qof hoo5h 2qrrvz5 ;7, 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 orbital diameterd4cnc2x. 3x n9 gchrr9 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 thwmhshec )-z 01q1x+ qme 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 plan2-n 3u 7z+kb7bxpph lnet in nearly circular orbits. Moon A has orbital radius r, 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 o+pux27l 73h nnbp -bkzrbit?

  The planet Jupiter i44c+ytrrrk z 0tm p.g:s $7.78 \times 10^{11} \; m$ 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 yearso5)u( dls6aps to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from th6s (lpdua o)5se Earth to the Sun is $1.5 \times 10^{11} \; m$.)