Is it possible for askdrtd+52r923 hxb9i brs y/hn object moving with a constant speed to accelerate? Explaix9r3hkhtbdb9r/5 yrsd2 s +2 in.

  Consider a particle moving with s/ls 6s;q zbxf ;xa *t6gmy0h5constant speed such that its acceleration of constant magnitude is always perpendicul ;/lsx yha*gz;6tx5bsq60smf ar to its velocity.

  An object moves in a circular path at a constant speed. Compare the dezz3-np x8vmq7 4o ii5irection of thxii-p mqz54 3no7 zve8e object's velocity and acceleration vectors.

  When an object experiences uniform circular motionshepee :)nyqu )*) )b*:fkh 21kbjjcf, the direction of the acceleration hfebh2*jk)j)e:eksupf n:c*1b) y ) q is

  Consider a particle movifqskg5/ ,pc )b e5)dqlng with constant speed such that its acceleration of constant magnitude is always perpendicular to its v)q)pc, 5fq bgs e/5kdlelocity.

  What type of acceleration does an object moving with constant speedhv,vp;l rbp7iew /o+,hu ;)tk in a circular path ex;k,hl tvp;b hwr/ pu+ve7o),i perience?

  What force is needed to make an object move in a c z2de gy7;b*p(jdi9ij u8w)keircle?

  When an object experiences uniform circmmjbs78gk n1)(6qmy q ular motion, the direction of the net for(knmy 1 q6smgj mqb)78ce is

  A roller coaster car is on a track that forms a circular lo91 s* 4weqpa (d5k2nzafmufm8op 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 this poisw51 npz qf 8a*m49a(2fmde uknt?

  A roller coaster car (mass = M) is on a track that forms a circular loop (radisqp*9 h nq(,,vjdmp2w us = r) in the vertical plane. If the car is to just maintain contact with tps(q 9pqj vnw,*dm,2h he 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 semi-circular arc until it gkp-(;fsoq1;)n2m . g 1hk r:tn3my pbylpra;is going straight up. Just as the plane is at its lowest point, the force on :k;tosr nfr -1yp;2qhm(lb yap1pn);3g.kgmhim 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 fu5 2smu66qeqcurve 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 speed v. 2u0euq(hl ).fxwab3q Then it goes around the same curve at half of the original speed. What is the centripetal force on the car as it goesux0uqe w3b (l) h2qaf. 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 v. Then it gh+q tas 4sah+:oes around a curve of q4:s a++hhastradius 2r at speed 2v. 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 around a banked curve of ra11v v,sdw: i4 nx0lzyqdius r with speed v. If the road is frictionless due vqzn wy1, ls:1div4x 0to ice, 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 a:,n nqhmn s w5p4s96mungle, 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 op 6n5m4n :s wqm9hsnu,n the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is not constd jdzudmhwf 4me:: 97.ant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb t4m9dedf duwj m:.z 7h:he wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circulfq0jkh; 2xkph2ipg ,q58 3v kxar path to have both centripetal and tangential accelerati jxxg fv32k0ihq;pqk2 k8p,h5on?

  The gravitational force between two objects is proport4m3k5 wg0;yk,k fvaa i*u.nigional to

  The gravitational force between two objects is inversely prcyto z ad77 v9jaw+*. hd/+)iujt-nnp oportional to

  Two objects attract each other gravitationally. If the distance between their fp,wcqlx 9ql7j g o mz61,p:)3ld0ltwcenters is cut in half, the gravitati 3w,p tllo6l:lm jd9fzq0wxc,7)1pgqonal force

  Two objects, with masx l.a; ey;kyf-ses $m_{1}$ 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 massljloij7xh/ *x2m r f5/es $m_{1}$ 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 gq5 jwopp:(5ebmm 3v s7b52hfgravitation.

  Compared to its mass on the Earth, the mass m 3kfr97icsg *of an object on the Moon is

  The acceleration of gravity on the Mo p*6k-26,f tr2a +dfs1dqrpnffhrf 8l on is one-sixth what it is on Earth. An objecd2d nff tf62 f6-l+pa*,8rpqkrfsh 1rt of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surf 4-ghne- :xuovace, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond t46x,mu lmveigo74ba rk6 59e-dgs tk5 he pull of Eart-5 brggv4m6lx uti7deo 6kk5s 94ame,h's gravity?

  Suppose a satellite were orbiting the Eartggr n60,p g+rph just above the surface. What is its centripetal acceleration+gr6pgn p,0 rg?

  A hypothetical planet has a mass of half that 3dne*-g ifbu8 of the Earth and a radius of twice that of thef8ed3*ngi -b u Earth. 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 is one-sixth what it ka: k)ju4og:jis on Earth. The radius of the Moon ij::ok uka) gj4s one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravitq 5zpx j9:i*(e)ywq +0 jqgoryy, but planet B has twice the radius of planet A. If planet A has mass m, what is the masp5i+g qqjej rywx)(yoz*9:q0s of planet B?

  Two planets have the same surface gravity, but planetecyx s6ay2xozn3m40 sr6- am. B has twice the mass of planet A. If plan6 2s y6r3saa-nmy40ec .xxzomet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orf3 9)pqznud/r ;vdh:c bit (radius r) about a spherical planet (mass M). Which e;r cfqh/ :)n v9zdu3dpxpression gives this satellite's orbital velocity?

  Satellite A has twice the mass of say)6-np q,a5vkht(hwb:q tu 84fq8yxitellite B, and rotates in the same orbit. Compare the two satellite's speedk,)y (vfa65u n hqwytbpt h-qix4 :8q8s.

  A person is standing on a scale in an elevator accelerating downwanr03 xrcly2kk w(ncvw+ud08+ rd. Compare the reading on the scale to the pery3kc (+0vwnnrdc+ xlr0u w2k8 son's true weight.

  Who was the first person to realize that psj jdbhx/c8f33+h1uqw 8 t6lthe planets move in elliptical paths around the Sun?xbwhlq3jd8j 1 fthups+/c 386

  The speed of Halley's Comet, while traveling in its elliptical orbit around thh9 ,e dzpwhq fzf1 0m-8d-(qkhe km0 -zh dz(8h-,q1deqw9fpfhSun,

  Let the average orbital radius of a planet be R.2 l/9aauk2ee s Let the orbital period be T. What e 2ue sk2l/aa9quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star ifwj1/ cynl*d 2n the galaxy Andromeda, with the same orbital diameter as the Earth around our Suy1nw 2d/*j fcln. 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+ rsgg5l84kkn 8utdt) "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the adg + 5lgk)su8rtnk48 tsteroid's average distance from the Sun?

State Kepler's laws.k e-(d22ohzwi c8)mv t

  List the four fundamental forces inaxt wg+f8xkxf*u m/t)- i +eg) nature.

  An object moves with a constant speed of 30 m/s on a circular track of r4phg5m 8)bxmv5 6hl dmadius 150 m. What is the acceleration of the obje5mg)h8bvl5d46 mpxm hct?

  The maximum speed around a level curve is ob pffav6u/8030.0 km/h. What is the maximum speed around a curve with twice the radius/vba0 ou6 8ffp? (Assume all other factors remain unchanged.)

  What is the centripetalc4xl n1 ar:p:l acceleration of a point on the perimeter of a bicycle wheel r:l4cp :l1na xof diameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotat827 i k/eia 5qncs5pcoing at 5.00 rev/s is located 0.200 m from the axis. What is825sc7i cqei5oanp/ k the centripetal acceleration?

  How many revolutions per minute must a circular, rotating space station rdy-+5d ;isxn of radius +r xdyis;d n-51000 m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes arounyq2:leh.dcj , d a 13.7 m radius turn at 96.5 km/h 2d:l jyce.hq,. What is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m styk:ooi03ca2c(.k0+j1 :eil12n mc kh vvco atring. The system is whirled in a horizontal circulc2vkyno+c:l2e0i1c0cmt3.k(1jaoa v: i khoar path. If the 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, is attached to a strong string and w9y02gktg*qway w 8sz*hirled 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 point is gi wy9gs20 w*a *y8kqzgtven by

  A stone, of mass m, is attached to a strong string and whirled in a vertical cir) gwj5l .s*zp2tzqgm 7k3fgz/cle of radius r. At the exact bottom of the path the teng lpzjms3tzw/ qk7) *g zg52.fsion 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 experie/+z/z usym g6hnces an acceleration of 4g when pulling out of the dive. What is the radius of curvature ofg+/ u sz6yzhm/ the loop in which the plane is flying?

  A pilot makes an outsid;2e6 5 vltzzfte vertical loop (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loop he zf;tlvz56t2 eis 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 his weik pc ot:wg.f606ygt4 wght. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can twytwfk.o:tpg4cg 6 60olerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds ow0qhp a w)k3k).t +eian 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 coefficient of friction between the car's tires and each road sueqt o i3ak kh+w).0)wprface.)

  A car is negotiating a flat oe7 i)2mo d ye2j90rnbcurve of radius 50 m with a speed of 20 m/s. The centripetal force providede7o2dmo)9rie yb 0 n2j 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 1z3,q e4 h.6evnyaf**ldufs/q*u jx h,4 m/s. What must be theh*u4 hz*nfvjl yaq 3df*.s/ue6,x q, e minimum coefficient of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed swu;/xm ; /.g rw.c2tlimhzxr3,w7bgv around a level curve. The coefficient of friction betwe7ig wcs hw2tm;bg,r; x .wmlzxr 3.u//en the tires 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 a ,nq 0w/ngntd7ngle is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore fricti7tng w,ndq0/n on.)

  A horizontal curve on a bobsled run ia8o,01*sxch9d uqzgz s 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, banked at an angle/awkm vb*hmm;w0m4 /r of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked a;t l;ayefme u.x03tk9t $45^{\circ}$. 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 stri2k zlu8 e29rh z/ml6:/ufbmb53by gzsng is revolving uniformly in a horizontal circle2uu/k g3ez 62y8rbz bslf9mm:5 hlbz/ 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 a/kxphe*any:2n06d eo rea, a race car accelerates at a uniform rate to a speed of 45 m/s id2aen:op/hy *6n0 x ekn 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 0vittvf/4, wzof 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 standing on the Ea6f1- (g(qfwq.ay qmetly8 o,srth, due to th q(. qaw-lmf16fs,yot(8qy ege 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 attractive force bg;j. b79fqbc i31 1o-uevo*k/ tbwj1pqcokt/ etween two masses is F. If the masses are moved to half of their initial distance, what is the gravitational attra c /71 t bugbjo j19q*;v/fbotw c3ikqp1ok-e.ctive force?

  For a spacecraft going from the Earth toward the Sun, at what distancbjb:f p-)nol:5/v h zve from the Earth will the gravitational forces due to the Sun and the Earp5nhbj:o:v-) lvfzb /th 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 isn.1yb7 txwkp0j* 4 sdo $7.4 \times 10^{22} \; kg$ 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-wal7iyupee76r5 y;9 epict w6nyskt 15 l7z2gjq6k" at a distance above the Earth equal to the rppi79ct we6lk 76;7nz1tgu 6ej2yy re5is y5qadius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth iw7q;igi n.:c+r/ t jo8zim zy:s R. At what distance above the Earth's surface will the acceleration of gravityq zi7:+jr;ing /8iz yt.wo: mc be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its 0i:0xv n+xium surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acce: v+unx imix00leration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet'tglm6,klv u5;m )9+vsdh-nq.p sr6ot s center, the acceleration of gravity ip; tuhtg qkms-.n5d o)lm v96v, r+s6ls $32 \; m/s^2$. 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 Eart)vsj:dg uf)i8xa ss1 0h. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what isu8v)ixa sfd0s) jgs:1 its weight?

  By how many newtons does the weight of a 100-kg person change when he goes frohh+pg /:8q ukny,eub,f,w,z,tl d h v/m sea level to an altitude of 5000 m? (The mean radius of t8fe,n+ ydtz wg hv:ub /,u,,hlhq/ ,pkhe Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 10:pr /xgdqismp(-+zi4 djg p ih/s,3m60 kg is at a point 3r above the Earth's surface. What is the satellite's /x-(,gjp sim+ 6qhspd34/ rimdzp ig :weight?

  A spherically symmetric planet has four times the f .*q d-paneq5Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Eqn eq-.f5a dp*arth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the same line, 7c t u5gbyumhvj* j)801bbtx+with the Earth between the Moon and t+btbjhu)v*5g my1 8bcjtu0x7 he 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 transported to the -l (5rhgn n)mzMoon.
(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., ityf 5(-wdyfos8t/ to ,iko7ao5 just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of the Eok-sf(d /oao5 tyt8,75 ioyfwarth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular ob)b d g+ -c8ss9m d61e8)q9jkvqqx weirbit 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 radiuscw 9se qg)b89 8 xkbes1jvqid- q+6)md of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of the Earth. It is c(p7m0 goh09w3igj5 ztw zyd( observed to have a period of 89 min. What is the mass ofwg57 0m0zwgyp((o3cidh zj9t the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diam)4d9tqphj r:g eter 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 with ay67 xzke)gvy b+f3,bx 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 orbitaswxl38dfh :1n,iv. tz31 pp (tg cicd.l 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 orbiiftzdph8w1(v:ld3g3xp cntsc 1 . , .it?

  The planet Jupiter is 1-0u2uih kxgm nnm6d j/t,t*i $7.78 \times 10^{11} \; m$ 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 o888iy vuk5cfr nce. What is the average distance from Jupiter to thei8 curvyk85 8f Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)