Is it possible for an object moving with a constant speed to accelerate? Explqic1(aw m 4uwu*fj24 yaimu1jc (4u aiy 4wwq2f*n.

  Consider a particle moving with constant speed such that zb (k9)i9gokwe-l /wu its acceleration of constant magnitude is alwgikoeu(bw zw99k -)l/ ays perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compargk n0p:h9s0-( -t)yzazt wcz te the direction of the object's velotwz-9z cpk)h0y a( t nt:s0zg-city and acceleration vectors.

  When an object experiences unifd (-9xpqm 9mvz le-kjv.hxz;8 orm circular motion, the direction of the acceleratio9z- ;h8( x9vkqmd.j vl-mxpezn is

  Consider a particle movinl+2tkdg i 52e y7ryq;zg with constant speed such that its acceleration of constant magnitude is alg7qkiy2+5t;erz dy2l ways perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed in oeop86iw0s e.:3 lh gxa circular path expe0 ieopx3le.og sw8 :6hrience?

  What force is needed to make an object /d2l3 qpf*bonu t2ak v jy08u2move in a circle?

  When an object experiences uni3o9brm/dt j;56pqqklt9j .2jv emjd*form circular motion, the direction of the net force /*j. re3dmjt25l q9md jt6v bpqko j;9is

  A roller coaster car is on a track that forms a (gins5,8 yu7h kyxmz, circular loop in the vertical plane. If the car is to x, ugiyyzs,h m (5kn78just 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 circula fu,+uh1 :5plpj nvcq r1j/;itr loop (radius = r) in the vertical plane. If the car is to just maintain contact wi+utu p1i n5;pqj h:rf /1jvc,lth 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 semiar o550s(ql ngcy ej,9-circular arc until it is going straight up. Just as the plane is at cy qnse lj 95a5,go(0rits 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 of radir mos(y.qgcm20t j) gfe*ck07us $r$ 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. T w q*o/*h+fkqghen it goes around the same curve at half of the original speed. What is the c o +/*k*hqgqwfentripetal 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 const i qg 97ea32;os7c 2dj*w w.t:mwxbltwant 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 owmwg a .sb;2d xt*wq:73jw9i2c te7lthe second curve, compared to the first?

  A car of mass m goes around a banked curve of radi kzvh6 qb . uu/cua1vohg 23f:..vmuf.us r with speed v. If the road is frictionless due to ice, the car can still uu u3bvoz 1 vv.hffh: mug.6/ k.q2ac.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)p/h(t-(v h.din8hurn9d ut q on a bobsled run are banked at the same angle, but one has twice the radius of the other. The safe speedn(nhh tihru)dvu(qpd 9 -/t. 8 (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 the Olympic bobsled track is n5whi29 m5 rzels z/wc6ot constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lo s2weczlmz r9 w56/h5iwer coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to have bode13(rfahl) bi* +ub hth centripetal and tangentiah*h1 le +b)ud(rabfi3l acceleration?

  The gravitational foc i3uw9b:l2qum mw v8r*bf3n 6rce between two objects is proportional to

  The gravitational force between two obxw5 k xnyq, nunv,iwl pwsc1*24 +.m8mjects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between ts kc+vo 51rtu;heir centers is cut in half, the gravitational ft+5;sorc uv k1orce

  Two objects, with masseys s3 0):gy:ocuvc/sgs $m_{1}$ 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 masselp30fcckqyfmqc2:- 7 s $m_{1}$ 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 gravi tgr/08 r/rckitation.

  Compared to its mass on the Earth, the mass of an obg j/dv44zfbl; ject on the Moon is

  The acceleration of gravity on the Moon is one-sixth whag,uf amd7f-;fe6lrq ) t it is on Earth. An object od, ;uraq) e-flm f76fgf mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocketpuv57 xfkxf5k5.ln 5t's weight

  A spaceship is traveling to the Moon. At what point is it beyonlqm n/h./yx5k d the pull of Earth5khq/y x. lmn/'s gravity?

  Suppose a satellite were orbiting the )2;rivz vz90jy ecjug:ex-y ,Earth just above the surface. What is its centripetal accelerat-iu:x9)c yj0,zyezrv j; g2veion?

  A hypothetical planet has)hfqkj.n19piu1 ) xvr aeiyb9e 0(u/g a mass of half that of the Earth and a radius of twice that of the Earth. What is the u)irnhejxib(e qy fuk 1p.1) a0/v9g9 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 is one-sixth what it is on Eart2o: xg;yi0dukon h -w+h. The radius of the Moon is one-fourth th-wh0x g:on +o dy;iku2at of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gr +yas ydhwjxq6:(8 5kiavity, but planet B has twice the radius of planet A. If planet A hasyj:k6s xhiayq5w( 8d+ mass m, what is the mass of planet B?

  Two planets have the s2i e- 9nlvw) z)4fpkk4w5bnqdmx6rz) ame surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of pl)ve694zind w)xf4wbnzk k p- 5) 2rlqmanet B?

  Consider a small satellite moving in a circular orbit (radius r/pvi icyl1zz )mz93t1) about a spherical planet (mass M). Which expression gi l39vz)1t 1iiyz/zc pmves this satellite's orbital velocity?

  Satellite A has twice the mass of satoc:ag3h(/iq a.q 3 x6rdv raj4ellite B, and rotates in the same orbit. Compare the two joa3: gr34h(qqicdraa6 v/ . xsatellite's speeds.

  A person is standing on a scale i j eu9yf ;dr)c:c.rh5jn an elevator accelerating downward. Compare the reading on the scale to the person dcer f;uc59 yh):jj.r's true weight.

  Who was the first person to realize that the pla zaz-sbguwd tkq23 f53r;p(s -nets move in elliptical paths aroun(2z -33zatq usf -pkgwdr;b5 sd the Sun?

  The speed of Halley's Comet, while traveujhgdodh,zij*/1 d s,j;k94w ling in its elliptical orbit around the Suhk, /d ,sg;ho diz4djjujw *91n,

  Let the average orbital radius of a planr0qbh1nmo k30et be R. Let the orbital period be T. What quantity is constrbm13 nohq00 kant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, wi h2,f o q:shaay/s41dath the same orbital diameter as the Earth around 4h2yaad s:, osfhqa/1our 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 "astrr+pzmwd ss-/zrmav72 4p 4a,tonomical unitpr 4m4ra+st/wva smp-7 zz2 ,d" (AU). 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.xb79 w/ro7xw17ng w xt

  List the four fundamental forces in naturevu6l;u dvx3uwea6 0c-.

  An object moves with a constant speed of 30 m/s on a cirmpg yqs77*k4om;fo r7cular track of radius 150 m. What is tk7sgmrm *po7 4qfo; 7yhe acceleration of the object?

  The maximum speed around a level curvey kelbuhr(l00i9q*40(m qmq-yrq)lf/bj *uj is 30.0 km/h. What is the maximum speed around a curve with twice the rady0jy jlqbb)f*l/(ulki r m* uehq04m0rq(q-9ius? (Assume all other factors remain unchanged.)

  What is the centripetazf9blc v-bp8a0/u t f.*c 9khol acceleration of a point on the perimeter of a bicycle whvoa0/pfbb9 lt.c kc 9 h-*8fuzeel of diameter 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*1sizys -gzv 8 from the axis. What zi ss 1yg*vz8-is the centripetal acceleration?

  How many revolutions per minute must a circular, rotating space smly5/;sq6 lz jk5a f2f)vxe o5tation of radius 1000 m 5azmfy q5l;5j6vl xf/kse2o )rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goesq+-rcv p fw ( 9u;;/4 gmhowgvuc6c3nj around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on theh cf ;ou- pgvvqwwuj6c4+c;3/gn (m r9 motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system ixqpv6ew16k9 1f jug* cs whirled in a horizontal circular path. If thegj 9w1kcv*1uefx6p 6q 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, /o ;d-uurcebbjd9.senaa 0+j4 . (x tqis attached to a strong string and whirled in a vertical circle of radius r. At the exact top of the path the tension ed4+-s; rbq /cobudu enta09 jx.(. ajin 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 e +q-d(l-d pk)sxb.i wa strong string and whirled in a vertical circle of radius r. At the exadi- +. sed) (lwkb-qpxct 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 experiff:h:mn wsl-to 31d. e,0lz lxences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane is1dt xw 0 f:lom, nf-eh:ll3zs. flying?

  A pilot makes an outside vertical loop (in which the center of the loopj 8euz zt8 ht k8/;in4dspvr;) 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 his normal weight. How fast; 8dt;e /pv8hsit48j)rnzuzk is he going?

  The maximum force a pilot can stand is about seven timec2 4uheu 3qg xr9cqkjo6 +: 9xb6/mtfos 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 250 m/s?jhmbc 26e9 9+ uqfck64 xxt:/gr3qouo

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tiw+iewhv: a.hmfm/p 2cwy (.b- res on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficient of friction bemphmc f2i: . +/-e ywwawvbh.(tween the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m withz: *iqpnlj)k , a speed of 20 m/s. The centripetal force provided by frict:*jn z,kl)qip ion is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of/ohf6 )xj el8sc e8.fg radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and t /xfosg.jh6ee 8)flc8he road for the car to make the turn?

  A car is moving with a constant speed v around a level curve a zo34f6k4 o( -;dgjna5erpui. The coefficient of friction between the tires and the road is 063oz e;r-5 kp gfu id(jna4a4o.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 negi.2:6xdj x9nwvp/mvb4dm q0 totiate a 100-m radius turn at 35 m/s without skidding? (Ignore frx 20tib.m vn:dmxw dp/qj 964viction.)

  A horizontal curve on a bobsled run is bjh*d6b a2p ff() aivb)9 ky.xnanked 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 10evl*pdk*bb3 60 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bankg5q gldkkdp,q6y l7(at/3jna/) mv -fed 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 i gxz.s; whi7cn :.6 lkrhhiy):n a horizontal circleiih6;lwz s x.nkgc )7.:yrhh: of radius 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 a0m6igif 8luh 9ccelerates 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 value in thfu0ml ihg6i89e 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 consib70(chbyjur 0sts of a 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 force on a 70-kg person sta+xtet t6k76ynw(im x*nding on the Earth, due to the Moxi *6tm(tyt7 w+ 6kenxon? 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 attractive forcn ci/4zlsuatc:98 1a sgn:w8lkg bt./e between two masses is F. If the masses are moved to half of their inikgt1i 8g4wu b.: sst8/:alzcc/9nnal tial distance, what is the gravitational attractive force?

  For a spacecraft going frollc kg+(n0qjw.k+xh 4m the Earth toward the Sun, at what distance from the Earth will the gravitational forces due to the Sun and the Eart cqlk.lx0(+ g hk+j4wnh 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 Moonzp7x:gp5p5atz cmlx f5 7 ax44 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-walep dy,md5 n4h27vz f5tk" at a distance above the Earth equal to the radius of the Earth. What is her accelerationpfv47yh 2d,det5nzm 5 due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surfaeic(f06j-k0 (m tvicjce will the evk(f jitm0i c(- 6jc0acceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 times tb)ngt.zb5 6rhhe radius of Mars.).5 bz bhng6rt The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from so e00ii) zc +x; 0wg/zs; tapgyv1sw)yfme planet's center, the acceleration of gravityy +)aw0/ggpv t0c;0sw; xi sfe1) izzy 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 the Earth. The Earthmecyiv6fhxz0 qjl-*fo v wcz d9*824xz1+; ov has radius r. If the object is raised to a height of 3r above t2 zzevjoz qx8clfom614c0- d*y9 *wv;+ hx fivhe Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person chang-h9q 5 4utpa 2vw+t+oxl2abxhe when he goes from sea level2hpl+h 5xxo9qwab - atvu+t2 4 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 satellitec/. u5bl07boxkhcy0uls:.w *yh q0xl of mass 100 kg is at a point 3r above the Earth's surface. Whlux./07 h 0y kubco: .l*yl5c0hbwsqxat is the satellite's weight?

  A spherically symmetric planet has four times the Eadhu1 2p3ndd 1jv07zxbvw-ay 5 rth's mass and twice its radius. If a jar of peanut butter weibn v5y1hd a12dj7zv-dwp3 x 0ughs 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earc zn,r;bw/bkfq0;l6lku ber9g, uq /,th, and Sun all lie on the same line, with the Earth between the M0 c /r;gbnwl/ ,q6,fuurez lbb9,k kq;oon 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 transportedd:vm-b nwj a(gh53aoa a*q6 d+ 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 on(l 1o-zmhja 1rbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The me( zoa 11jlmhn-an radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low chx gc* 62fi+a ny3l cvo-0re:8aqhj66i pg0iuircular 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 Eapoa 6y0qlgug3 6j x2cirnic*- i8aheh06:v+frth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surfacecrbg67/sc *gyk mv 5u hbc(63z of the Earth. It is observed to have a period of 89 min. What is the mass of the Ey g6cmzu6v5/hc3bb r g*7c sk(arth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter ofm0ubr)0dty; e $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits the (j 9y3rbo6khsplanet 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 radiumra j go zl/w;7a7fgw43 s3ni:s r, and moon B has orbital radius 4r. Moon A takes 20 days to comp3 liw j47a:/nfmgz aw;s r7og3lete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is 5g,p ngceux3uq*n xjlx9 -. n0$7.78 \times 10^{11} \; m$ 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 0gq7f he1feu.7 8 *9t pfmvfmfthe average distance from Jupiter to the Sun? (The distance from the Earth tqfe*.f1f v fu7 0p98fm7mge hto the Sun is $1.5 \times 10^{11} \; m$.)