Is it possible for an object moving with a constant speed to accel8zeyf .(v efl(erate? Explain.ve( leyf8 f(z.

  Consider a particle moving with constant speed such that its acceleration d7nmtb0zwz dhu x gewad1s* ;+4aq+,5of constant matq a wwds+z1,m4* x ;dghbu5ea+n70dzgnitude is always perpendicular to its velocity.

  An object moves in a circular path at apf -nw k9z;b vwok-;i;o6nj(dqy.cr- constant speed. Compare the direction of the object's velocity and acceleration vectofbw. c(9qk - jwpinzoy;od; -k6 r-;nvrs.

  When an object experiences uniform circular motion, the direction of the 8y+j vufux 9j08 ag)tqi.c8a faccelerfvi ua .+fcaj g9u8j)0xtq8y 8ation is

  Consider a particle moving with constant speed such that its acceleration c3*/ids: sojvof constant magnitude is always perpendiculd:*v jssoic/ 3ar to its velocity.

  What type of acceleration does an object moving with constant speed inzvx n3c7mr 8 6-uc -bgkh8axx5 a circular -6-g c3nmru8xkzc 5vh bx87xa path experience?

  What force is needed to make an object8j,.c4 lskc bpdk7sh 4 move in a circle?

  When an object experiences uniform r4ubcm9(elb:g8 i gj ;/v7dl gcircular motion, the direction of the net force isl4g b7d jg8(u/i9 ;glc:rve bm

  A roller coaster car e a 5-8btdb5uvr bb*p5is on a track that forms a circular loop in the vertical plane. If the ca tbu5b*v5 pe5bd-ar8br is to just 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 circular lc7jl8u,ew .l poop (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 t,lpc.e ju l87whe minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular 78zha wwji187hnve:u arc until it is going 87viu j:w1e7ahznh 8wstraight up. Just as the 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 curve ofq))aw 6qo y8gts1wal , 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 const ck2*fjmwp9:yuh0a - dant speed v. Then 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 curve for the second time, compared to the firstu*a9-djwc pfm k: 0hy2 time?

  A car goes around a curve of radius r at a r1ud w-(az4rsdst-,m constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal fow(za-s,msu14d r- rtdrce on the car as it goes around the second curve, compared to the first?

  A car of mass m goes aroundun g*wb k,.jdq8ll2o + ;mled/ a banked curve of radius r with speed v. If the road is frictionless due to ice, the car can still negotike ldudn/jlb 8g, lq.*wo2m;+ ate 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 angle, but one hgsy3ym7(ex: /3chg r+i .jsjwas twisxwye rchsym(3 .j ig+:37j/gce 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 the larger radius curve?

  The banking angle in a turn on the Olympic bobsled trackc+y,0+ml 3epujp2s mx is not constant, but increases upward from the horizontal. Coming aro0em, l3 s+jmpp2uycx+und 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 circul xb(g2*m 64vk k4fqgccar path to have both centripetal and tangential accebv f x g42(kkc*g4mqc6leration?

  The gravitational force between twow7ob0 1rpnrpd i3 94t5nkxkq s ,e/yn.z+v6ld objects is proportional to

  The gravitational force between two objects is inv/6 bi:* guxer;hlfn-d ersely proportional to

  Two objects attract each other gravitationally. s+ruhi:bs ,z 6If the distance between their centers is cut in half, the gra +subi6:s,rz hvitational force

  Two objects, with masse), hh-vwrp6gt.vpz1 v s $m_{1}$ 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 9 g./tlbqasb54dbp033b ez** u,jf /mqormjq $m_{1}$ 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 gravil q zc12y 2ri)5/akdmgtation.

  Compared to its mass on the Earth, the mass of an object on t39pdqh0py6i0 z/g vo6uhxm r4 he Moon is

  The acceleration of gravity on theoda2 u5vql n, :j5ze2c Moon is one-sixth what it is on Earth. An object ofoj5vl5,dqc2u n 2aez: mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away1 md2 :lwi8x )aanv2ur from the Earth's surface, the rocket's weight

  A spaceship is traveling to the Mooyt(g1w rp6ab 1n. At what point is it beyond the pull of Earth's gravity? wtpb6(1r1yga

  Suppose a satellite were orbiting the E/fzg (q.vtljcw wc-8 ki2*o n1ztb7 )oarth just above the surface. What is its centripetal acceler/)81zgtic7bj-l v f*cw.2qzkwootn (ation?

  A hypothetical planet has a mass of h2k,afftm k 4fn)el6*half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet inf e),klf4 nahmk*6ft2 terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it g-q9s 6vnnb.7ivq( ni) semia2bt 9w+is on Earth. The radius of the Moon is one-fourth that of the Earth. What nmq+ i(vnie.9nts2gv- 6b aq7 wib9)s is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B wo;g,sql/mtfsi d6ae 5 v+ 2v:boy.9 ohas twice the radius of planet A. If d 5 moq/tef i+:, oy.glvs sva96ow2b;planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has o55 3y:z mu z;ql*t0m)txfr gwtwice the mass of planet A. If planet A has radius r, wrx w )ultog3mfy5tqz:0;5m *zhat is the radius of planet B?

  Consider a small satellite mol4ro3r fz7rvyc- ,76no6bl ylving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbital veloc,b oy6v3zf7or-ln cll rr764 yity?

  Satellite A has twice the mass of satellite B, and rotatesewr g,4j;0 0wdg +psms in the same orbit. Compare4g r; 00ms+e j,swgwpd the two satellite's speeds.

  A person is standing on a scale in an ele/hj.) 4chnfx+9iamhh vator accelerating downward. Compare the reading on the scale to the perso /hh4cihh mn9. j+x)afn's true weight.

  Who was the first person t w93c;m8ctspc o realize that the planets move in elliptical paths arcsw;t83cmp 9c ound the Sun?

  The speed of Halley's Comet, while travf rq)vg(p;fh58dx3 sheling in its elliptical orbit around the frqh8h ; fpg)( vxsd53Sun,

  Let the average orbitantq 0 (xvib*j.l radius of a planet be R. Let the orbital period be T. What quantity is constant for( .b 0*xqvjtin all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, with the edc d r sbf(yvyw;64)itrngw6/-6*ia same orbital diameter as the Earth around our Sun. If that star has 4 timei) -n6 s(4a byc6*d/iwrd6ytvergwf;s 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 df.7, g w8u,cn7ugjhgzefined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance ffg.n h8uc,uzg7 ,7wjgrom the Sun?

State Kepler's laws.h k+4eu0m (v.uwptiw-

  List the four fundamental forc q 6avb4v+d:jzes in nature.

  An object moves with a wqzno 93kw(0hconstant speed of 30 m/s on a circular track of radius 150 m. What is90whw3 knzq( o the acceleration of the object?

  The maximum speed around z 3 f;h*g 0rs,hzd7nrga level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remain unchgdhr;g* 37z,zrnfhs0 anged.)

  What is the centripetal acceleration of a poinq( 2br67(7shs3yb vky dx: 9 rd0ghkmht on the perimeter of a bicycle wheel of diameter 70 cm when h6q 79rry 7 m3xkhd(d(2bsv:g b yh0skthe bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m frug3,bh-bae;2 7 fyxg+ f/bcaxom the axis. What is th -f +xggbf/c3;baex2ua7ybh, e centripetal acceleration?

  How many revolutions per minuteujz;8 ,yqbc;t must a circular, rotating space station of radius 1000 m rotate t;qjty8 c;z, ubo produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a massimni7n:eh+dnfhfe , 3/o(m6z of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the cen(m fzin do/+fe3 h h:nn76mi,etripetal force on the motorcycle?

  A 0.50-kg mass is attache1cg0oh)myzqzz/ 8iv* d to the end of a 1.0-m string. The system is whirled in a horizontal circular path. If the maxi*m yv/c)8 zog1iz0zqhmum 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 whic5/bkgl-* ss+ ytr 8)1fxixoxrled 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 speebx)x5slgs ot*r -+x1i y/k8cfd at this point is given by

  A stone, of mass m, is attached to a strong string and 8btsjy vh n,7)7 a;t2+pawe pywhirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times thae8 y wjav 27)7pn+btht,pys;e stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleratl l mr0b-,y+jmion of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane is -0, yr+ lmmlbjflying?

  A pilot makes an outside vertical loop (in which the cen0(d-t p(p djhqrio :v:r;rx3nter of the loop is beneath him) of radius 3200 m. At the top of r: t( rqxv;(idop3 n-jd0h r:phis 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 cakylkr01j-.in cu5j t7 n stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical d tcln ujjik 1.0yrk57-ive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius hov7reoq 9grg5 v l),f5prizontal 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 qofl,r v 75g)5pr9 evgbetween the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m with a spe upp0 kb7,jb4 smuo7x8ed of 20 m/s. The centripetal force provided by frick b 0,4b7 jspp8o7uxmution is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius / *acq.gpn-hqn:/ e7s.pwvn p50 m at a speed of 14 m/s. What must be the minimuc//g. sha nw-qn7: n *pp.evqpm coefficient 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 levegsfc/oh38os8w tf4c . p/;ck zl curve. The coefficient of./kfto c;s 4zc8fh/pos8 gw3c friction between 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 angle is required for an Olympic bobsled to negotiate a ,,a z/lrpym0yvh3r h/100-m radius turn at 35 m/s without av3 y/mzyp/,0rl h,hrskidding? (Ignore friction.)

  A horizontal curve opw.,.yg6*j ktevyk6j5 * uug rn a bobsled 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 radius 100 m, banked at adxw8 (v y29w o4or;ps- ytmx*mn angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is b;mk5y.inv:my anked 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 si 56aw:)4t ulnifhs.itring is revolving uniformly in a horizontal circleti5:n4i sf6)hiuw la. 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 accelerates at aj ,yw;i2h/s:cc ag-)e8/fz n7txdogp uniform rate to a speed of 45 m/s in 15 s, moving ocj ;anpc/hd/i e)7x zgyt:2 gswf,-8 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 consist6daetejid e3k3p2 8-ks 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 aayw3c0f2 xht qg;,sl1qe idv5v6d m5: 70-kg person standing on the Earth, due to the Moon?w23lqy,dhv v 15sg;5:0dq xa mtcef6i 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 between pm glsif4in2*s ka23o) bx*7t two masses is F. If the masses are moved to half of their initial distance, wp *mix23in fb tk7a4 ss*gol)2hat is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what 9cjum4nte 8.odistance from the Earth will the grav m.u89 et4ncjoitational 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 if4 /oh.-v8 yiugw zebf *pgci9x.0oc;s $7.4 \times 10^{22} \; kg$ 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 distance4s9:8 vgx52a sgs x 4taqskc3s above the Earth equal to the radius of the xa ssv:gax39s t8c42qgks54sEarth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Ear-jp n,o-q)bglg;h me4 th's surface will the acce4 g- m)heqgn-;oplbj, leration of gravity be $4.9 \; m/s^2$?

  A satellite encirclesy,,hmtdx0 m;o Mars at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compa,mo xh m;,dy0tred to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planey,zglj* (k u7. m 94vjw/tw4m)rbbqrqt's center, the acceleration of gravity ),v 9mq4t jb4ryww7jlgr. bmk(q/z*uis $32 \; m/s^2$. 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 Ea nmas zfgah uxjs9kx 36u l5m,++76a9arth has radius r. If the object is raised to a heightnj9sm z6m uax7a,gsk+ l96aux5h+af 3 of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change gu 3l3a- 8gpc2kx( 6yq1gx)k9 wthsbf 0m8omcwhen he goes from sea level to an altitude of 5000 m? (The mean rag3-ax038kctf m )s 28qh ygk uxbmc6(go1l wp9dius of the 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 the Ep6:;amqweaqjj)g)fg4v 6 cch96 xoa-ri,hl7 arth's surface. What is the satellite'j am-6ga6)h:q h6p;, w4 qvlc)rgaf ji97xecos weight?

  A spherically symmetric planet has four times the Eartq 2 ufq8kn+5nsh's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, hknnqf+58u 2 sqow much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun wx g n8 dkpu36ufq1*h7all lie on the same line, with thewg*uuk d1h6fn qx3p87 Earth 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 transported to tknyqfp8 7b qsc26kbff f(+(u1he 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 th5jw+apaz b3 xr -vcr:9e Earth (i.e., it just skims the surface of the Earth). What is the speed ojr9a5 xp: cbv3rw az-+f the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about fabqh0-gx : 6 z*f*mqfxrvj5+ ve*:e tthe Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around 0f*q g qt he5b ajv6:*ff+x:mx- v*zerthe Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km abov3s) kbol.c+5ehlx: re7 oo+) frex xs,e the surface of the Earth. It is observed to have a period of 89 mrls ,+hexf+.) o)ke35 cslxbxoe:o r 7in. 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 diam;;fn-(r(;epotq+d6ons i:ietro rr5 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 Jupitel*p8 k g*e1ozmfem(*-o/yj azr orbits the 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 planet in nearly circular orbits.opkwr 8-trp: gky+3)x Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 daysrx rg:+ p)o8kptw-yk 3 to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter iznl0 mmj2 pa -1 1yz/dngyomdr(sv2;9i nmb2.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 years to orbit the Sun once. Wa :i7y*kakt m2hat is the average distance from Jupiter to t7: y*makat2ik he Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)