Is it possible for an object moving with a constant speed to accel+a v )bu)cl4voerate? Explain.ca 4)+b v)lovu

  Consider a particle movinrpk(3cw+e.v qxjaa ;d; ;d gb(g with constant speed such that its acceleration of constant magnitude is always perpendicular to its velocity.ea;;.pdvax+r cg q 3bdj (;wk(

  An object moves in a circular path at a constant speed. Compgvc jz,qz0 ht4 :16vcjv o+bpfbe69w ;are the direction of the object's velocit64b ho j+v6 9q,pct0v;e1 zf:gzwjbvc y and acceleration vectors.

  When an object experiences uniform ci,3:kigm:sk +7 pw wi0y4a hnrtrcular motion, the direction of the acceleratiswm+gi a:,k:t7wir3h p4k 0nyon is

  Consider a particle moving with constant speet* j4ve+l +zrfd such that its acceleration of constant magnitude is always rzf+e*ltj 4+vperpendicular to its velocity.

  What type of acceleration does an object moving wewy(c g o5:ch0tcl0c+ith constant speed in a circular path ec:cyto+hcw( 5c0eg0l xperience?

  What force is needed to make an object move in a ci 3-+yo*nq2qfvh vlsw4 rcle?

  When an object experien fl1gyt5,r3wy/ a:lal ces uniform circular motion, the direction of the net force a:l1 wa ,t5lyfr /yg3lis

  A roller coaster car is on a tesw)op 9tr7j evabbc2*a;q62rack that forms a circular loop in the vertical plane. If the car is to just maintain contact witpos;caq )t9 2 br w67eea*b2jvh 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 foxb bgc0 f9e.lvur*p4/-v dgs7w ufdy .1hiw3/rms a circular loop (radius = r) in thed7. 1p v.*iv y4us bwgwd uc/-/g0elb 9f3frhx 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 its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc until it jci6r3ni1,9zmo3qf* j 9hn ucis going straight up. Just as the plane is at its lowest 9rmiuj9nn3qc jof 31z ci,*6h 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 curvf qxt*iq j*,(;v 5xsysy--y sge 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.dxkvlo5,8*ii82icq. 5 lg)av,jq s i h Then it goes around the same curve at half of the original speed. What is the ceilvo2,igc) sj88a., v5l* 5 qqhkii xdntripetal 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 constant swd+nvbiy,(5 ns- jgc* peed v. Then it goes around a curve of radius 2r at spen(,ydngvs wci+-5b j*ed 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 curv h2-gqsbtam2z j)7v2ie of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the ivt )2a2 hm7sq2jb-g zcurve 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 /+ ff8uijs iz/banked 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 radius curve is v. Wh/jfz ifiu/s8 +at is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic f:frscbj.l8 nf v;ak tv8.;w uyx:r7 9bobsled track is not constant, but inc 8svcx;r9 .ytunw7 :k;bflr fjvfa8 .:reases upward from the horizontal. 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 4 w ghwh0o vxb)d,8rzy1v db:8object moving around a circular path to have both centripetal and tangential 0vr h:bwh1gz8dwxo,b8v) yd4 acceleration?

  The gravitational force between two objects is gx uxj i-wet:j2/,2nvo ay6*sproportional to

  The gravitational fok t ;oghk,ognbc*yc9c4))yp v-i f.s7 rce between two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between thev un 1,.7r)f t/ufo:muqsbw-x ir centers is cut in half, the gra)7 tqof x:b s,munwr/ u1fvu-.vitational force

  Two objects, with massho636rieum4yh * o,qqxk/nrv;8j d9m es $m_{1}$ 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 6 .3 dlvfhp4rq$m_{1}$ 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 universaq1igi q;3oqz. l gravitation.

  Compared to its mass on the Earth, the mass of an object on the Moon isr6*i jc/c4s zvyxn7v/

  The acceleration of gravity on the Moon is one-sixth whatc 1x5s( m ;nrwj:q; e7vamyem8 it is on Earth. An object of es( ;:m er7x amcmq81njw5yv;mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's.ztfq0 /,vero surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is wuft(wh1oj-dz 9d a ku5a; *1jit beyond the pull of Earth't*;w uhkdw5jjd1 ozua(- 91afs gravity?

  Suppose a satellite were orbiting the Eart6mu8z8/o4/eqij azly h just above the surface. What is its centripetal azqy/ j86zui 48/eaom lcceleration?

  A hypothetical planet has a mass of half that of the Earth and az m3ausj4pj;ja3abo 1d-+ h6:yl8kew radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to e p;a1dj- 8zoa3 63wbs:jylamhj 4u+k gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Earth.p - 0 :efv,pk:-ogtefi The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to thefi0g-et,pvpo :f:k - e Earth's?

  Two planets have the same surface gravity, but planet B has twice thhoyadlwj0; vf /8*74fhoqgy3o mx- w ;e radius of planet A. If planet A has mass m, what 8y/omax-;lqj hwgw4 0 f7yo;*of3 hvdis the mass of planet B?

  Two planets have the same surface gravity, k*ado(km. q2qbut planet B has twice the mass of planet A. If planet A has radius r, k*q aq (2.dokmwhat is the radius of planet B?

  Consider a small satellite moviwp kzt 25ot1da; ,aqe;ng in a circular orbit (radius r) about a spherical planet (mass M). Which expression ;d 5t1,p k;ota2aw ezqgives this satellite's orbital velocity?

  Satellite A has twice mfmfy: 6 ;l vkhfs1i;0the mass of satellite B, and rotates in the same orbit. Compai; yh6m1 msf;lk0:ffv re the two satellite's speeds.

  A person is standing on a scb om(4jp0g)v qale in an elevator accelerating downward. Compare the reading on the scale to the p 4(gjbm)v0qpo erson's true weight.

  Who was the first person to realize thd/)eju;6sg ,9r6/j ld utappn at the planets move in elliptical paths around tr , )ap;ltu9gen6spj /dd/j6uhe Sun?

  The speed of Halley's Comet, while travelmivf16e *3dmq8k 20 kyfjix( 0z+ hdrfing in its elliptical orbit around the Suhr1dk*8mxfi f0d3q6f +i(z0 ke ymv2 jn,

  Let the average orbital radius of a planet be R.) b2z5ozdwl:b Let the orbital period be T. What quantity iz bdb):25w zlos constant for all planets orbiting the Sun?

  A planet is discovere r65tovn0tgcjy 63iq;d to orbit around 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 our Sun, what will the period of revolution of that new planet be, compared to the Earth's qn gtr io65;6vy c0jt3orbital period?

  The average distance from the Earth to the Sun is defined as one xrdw/ d.wj8*:vz e/lz"astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. Wh z e:d.zj dwl*vr8/wx/at is the asteroid's average distance from the Sun?

State Kepler's laws.xb.m: p1yv uh9

  List the four fundamental forces in nature. qh:oq5xht2*b

  An object moves with a constant speed of 30 m/s on a circular track o gxi 9:3:isdgn6hu omam* 9a,c1 *-c* qgxbcgbf radius 150 m. What is the acceler x-ugha9sci i m,c **q3g6*an1odm:gxb:gc b9ation of the object?

  The maximum speed around a level curve is 30 yhooe1d1zd0* .0 km/h. What is the maximum speed around a curve with twice the radius? ddeh*1 yoz0o1(Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point7 psew2lw z6nol84l) v on the perimeter of a bicycle wheel of diameter 70 cm when the bike is nsvo7w zl2w l86)l4p emoving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is locate n8ktb9c+ekex.wo:zv - )pqvqq.47h ed 0.200 m from the axis. What is the centripetal acceleratibqvkqeeqowv.z- 9c)ep:4 kh8t. nx+ 7on?

  How many revolutions per minute must a circular, rotatin bvissz8tcd)nwa / ,4+g space station of radius 1000 m rotate to produce , b w )scv4ints+8dza/an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius lh9gc4ba5kj(9hcohm ; k+ u4gturn at 96.5 km/h. What is94u;(mc gckj h+b 54ha o9klhg the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The syst(,hhz e:qrsj5e s-yw+em is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maxim+ szhq,sj(-w: reye 5hum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to +u;+ .dvock r39l evh .bnes2za strong string and whirled in a vertical circle of radius r. At the exact top of the pu+ vl3rbcd eehnsk+z92.. o;v ath 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 nc; )ec 8f(pagin a vertical circle of radius r. At the exact bo p c)fc(8;negattom 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 accelee /2 ;8rjikqdtl;+amxmv. q( yration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane is flyin/mk;+ i;yeja2l8rtq.x( v mqd g?

  A pilot makes an outside vertical+0* 1ec fjs./ bdzwcxo loop (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat with o*1c x /ezbs+w0jdo .cfnly one-half of his normal weight. How fast is he going?

  The maximum force a piloof ,dgu-d1 rtmy,y9 o ,u0xp,vt can stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vev -0yfy1d,r p moudgut, ,x9o,rtical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m 5 iil+z fzngvpie0 7-6n(mox6radius 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 betwe 7(znpomx6gzf-+il0e5ii vn 6en the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m with a speed of 20 *)k-ecegl /zim/s. The centrip-/ ieze)glk c*etal 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 50 m at a speed of 14 m/s. What muq,nszq 7qmdc9 y.)va n8/ ;cdwst be the minimdd./ 8mccqvnqa9sn, w)7; zq yum 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 level curve. The coeff7qn4vak / zv6uicient of friction between the tires and the road is 0.40. What is the minimuk znvva 67u4q/m radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for anrh ; c(j8bpvlz-/i bydyog:*0 Olympic bobsled to negotiate a 100-m r0:*o8- / clp; dhbrjvyibgy( zadius turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled/w(jy6hi cwgx o9 d2x8 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 v4ac3g 3i// r ,tgg3zgc ,zkvrat an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m 4 ttvg fiih6i9uw.).bis banked 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 horizons b8z1/y,bcj*a; (c zsw7quyq tal circub8 (/y*jczqb7 ysa;s1c ,zw qle 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 accerv*nd:is6mz8hde0 om6ln q+ 7lerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m 8dm60: 6rmenoqvil+ zs*7hn d. (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 protonn q l3n.zhb3uw23cob8y /kx9k 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-k q;zjgcad5( )ug person standing on the Earth, due to the Moon? The mass of the Moondauqzc) (g;j5 is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force bewpkw2i-goxxm9/6ak06nn ( titween two masses is F. If the masses are moved to half of their initial distance, what is the gravitational attractive gpxto-mawk6/ 6 k0win2( in9 xforce?

  For a spacecraft going from the Earth toward the jp m3 sbht+pests +mv+9r+l7 /Sun, at what distance from the Earth will the gravitational forces due to the Sun 7pbm+m+ts3ehpv j+/r sl+t9sand 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 4ntix-2 -u1m ,z wf4 mg akcsd4rl.sq,$7.4 \times 10^{22} \; kg$ 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" att.e58h e ,div4iqm; lv a distance above the Earth equal to the radius of the Earth. What is her acceleration d 8m t;i,ev 54de.vlqhiue to gravity?

  The radius of the Earth is R. At what distance abo . -k9vtktivo3ve the Earth's surface will the acceleration of gravitktv9 vkio3-t. y be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface eqriw8jq;-x9 cpual to 3 times the radius of Mars. The acceleration of gravity of the satellite, as c8 -rpq9 ic;xjwompared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from som (t1k;t aw-rmme planet's center, the acceleration of gravitymtm(a1r ;-k wt 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 surfaceb)wer,k)f3kk of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surfk,ekrwk ))f3b ace, what is its weight?

  By how many newtons does the weight of a 100-kg person change when he goes yi,cg9osxi*; og6wi-eki65 pfrom sea level to an altitude of 5000 m? (The mean radius of the Earth ice 6,9i6kw;op y* xgis5oigi-s $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of,u m(dctn4*hyr+; o xu mass 100 kg is at a point 3r above the Earth's surface. What is thu nrd uh*;t+m4c,(ox ye satellite's weight?

  A spherically symmetric planet has four 5(fs- lfcg rv(w :;zgctimes 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 weigh zl gwvffs;5cc -(gr:(on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the ,iwg7pnos)q87t0 9pcv o5zac same line, with the Earth between 5 8vgp9tp,) ziqs na7wocc0o7the 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 the M l7d bbr0wtx4o+o3/9ruea k-hoon.
(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., 7k86nsxl qz *5kmge)l it just skims the surface g678sk )lmzqlenk5x* of the Earth). What is the speed of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it just skims tnv(;*/gbu c bywz4sz+he surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radi* 4z b;ycswnv+b(guz/ us of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the suho4pr q0n 0zzrl jt6 1d.j);x(iyda* erface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The z;nyj zd4j.op160)xq*h(dae i rt 0l rmean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diamet/)cmt t2prba8 kq89iuer 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 thr29ykg vvsb+j5yt8o 7e 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. Moon A ha yz/+*jp/zn)sd yl,y fs orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it talzn)p j/sd *f,/yyy+ zke moon B to complete an orbit?

  The planet Jupiter is9d b 8p1fz4wuozbt3cx8 -) rf+erc;f q1mqf x) $7.78 \times 10^{11} \; m$ 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 orwf7clgugqhk txha u042s; y 5v(/-* szbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from the Eartghut; *xw5(ksachl2uv4zs yq7g/f0- h to the Sun is $1.5 \times 10^{11} \; m$.)