Is it possible for an object moving with a constlu2l*2 rw1us hant speed to accelerate? Explain.ru*w u21slh 2l

  Consider a particle moving with constant speed such that its accele2 xx:9,risoxs ration of con:xxoxi,r9 s2s stant magnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. u y0z(9b v.hj b2zd6,qv w5ahl z7isq/ Compare the direction of the obje(z.y 9s 0juzz, vahdi6vbwqlh/2 q7b5ct's velocity and acceleration vectors.

  When an object experiences uniform circular motion, the direction of the accr )c(1 lq fzk3kjh05wxefalbkc 1.7h* eleraak hr)hckc0q5(l 3bzlj* k.f1w7fx1 etion is

  Consider a particle moving with cws(k;-ajmavh-bp 2ym g7 *t)r onstant speed such that its acceleration of constant magnitude is always perpendicu *(hwjgaymsp mvr;b-k7) a2t -lar to its velocity.

  What type of acceleration does an o tm iw2ylrhdi xa(.2c+s* :o-f3ufhi,bject moving with constant speed in a circular pat,w c*-(l a hy3:.ih+ rdm2uxff osi2ith experience?

  What force is needed to m w su6,tlf5n -9sbflfpg(:e gqwo-9:cake an object move in a circle?

  When an object experiences uniform circular motion, the direction of the ke9a6 naw:9honet force ishwne6ao9: 9ak

  A roller coaster car is on a track that forms axl02q/1 mu eiu circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the lo0 iux1 qe/2mluop, 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 loop (radi yz jl(o;)7ahwkv/s1x us = r) in the vertical plane. If the car is to just maintain contact withl/ao wx7ysvh j;1(z)k the track at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical diveyr b)1e t:vx785zhrqm then follows a semi-circular arc until it is going straight up. Just as the plane is at ieh:)vb81ty 7rrzm qx5ts 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 curveno rd7eq9mahp1x+mn l8*1 o:o 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 rad5jry ynbbx 3/8ius r at a constant 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 first time?y5bnbjxy/83 r

  A car goes around a curve of shh y.wzwy :994urt3sradius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripet 9s4.u rww9tysh :h3yzal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a bankedz4 6,5mf rwiyx curve of radius r with speed v. If the road is frictionless due to ice, the car can still negomfx4y6r5 z,iwtiate 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 bobslj(ay6 jza7je. r*p. eced run are 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 ieajz.c7(*pj er . ay6js v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is not constant, q: -u;vq)n aai )mdwc2but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionall): ia;2 m)vdqwcaqu- ny "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 circular path to havw :b nw)5be1tve both centripetal andvwbwt)ne5 :b1 tangential acceleration?

  The gravitational force between two objects is proport *515ey) nssfgstp. gzlqb/s/ional to

  The gravitational forcbnnn x0;-x3 mle between two objects is inversely proportional to

  Two objects attract each other gravitationally*- xytnh fd8p *6+5cve (v-e5-rluwblgsi z7s. If the distance between their centers is cut in half, the gsr7 iwhp slubv+c zf*e-d-*6-5x en (tyv58gl ravitational force

  Two objects, with massgaab51;ko 1x 0pon 1mies $m_{1}$ 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 mass/ genn*:a ny3xxj5 nr: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 w6,dptm3k s l+zcfxw75)p4luuniversal gravitation.

  Compared to its mass on the Earb u*zmc8 i zeve1a.i3mybm8i i4rv wx 7w.03h3th, the mass of an object on the Moon is

  The acceleration of gravity on the n7/p(m axo3o3o;71kqbuhj4mzu gd4yMoon is one-sixth what it is on Earth. An object of m3 xm7j(q b37zu unpo/;4 og1khd4oaymass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the r 1lz+bs/3c7 hup jip*cocket's weight

  A spaceship is traveling to the Moon. At what point is it beyony2 e,c;i.lo vd cut05pd the pull of Earthpc.e5;c l dovu20,t yi's gravity?

  Suppose a satellite were orbiting the Earth just above the surface. What cw825f5e ;c gjvrvie .is its centripetaljf vwrcv.5;e i25cge 8 acceleration?

  A hypothetical planet has a mass of(r 86qqvrc/xe 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 terms of g, the acceleration due to gravity at(cv x8q/er qr6 the Earth?

  The acceleration of gravity on the Moon isi-jnn v8u1/ 5v8npb a *a6jqcm one-sixth what it is on Earth. The radius of the Moon is opn86um/aqv8bv inj-1an jc5 *ne-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gra: s yj3mkx)sru0on;m( vity, but planet B has twice the radius of planet A. If pla0;ykx3( sm n:jrm)sounet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but plalore 0z 8d jexqwq-;r b2.s91znet B has twice the mass of planet A. If planet A has radius r, what is 1w ;eq29xjob -.edlr0 srzqz8the radius of planet B?

  Consider a small satellite moving in a ccz)2amj:v8 f iux/j ,iircular orbit (radius r) about a spherical planet (mass M). W8jx :fmj2 iuza)c i,v/hich expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, an. x)d.bwo5ub nd rotates in the same orbit. Com bdox bun5..)wpare the two satellite's speeds.

  A person is standing on knjvh(ve8;q+jc l7e i*cv9y- a scale in an elevator accelerating downward. Compare the reading on the scchqej8 - kve; ly*cv7+jn9v(i ale to the person's true weight.

  Who was the first person to realize that the planewxpo..jnvr1e tcf5 6mh eo/86l yy84vts move in elliptical paths aroundwfe 5.r8tm.x oyjehpo6ln48cvv y/16 the Sun?

  The speed of Halley's Comet, while traveling in its elli3lbp .3ud-3lu*n s dxbptical orbit around the Sun,*x3.d bldsulbu3p n-3

  Let the average orbital radius of a planet be R. Let the orbitalzxkw ml7n+w19 lp 5qtg ml b42c(19ltb period be T. What quantity is constant for all planets orbiting t( +mbcxp w1 mb9l2q9ltl l5 z7ntw4kg1he Sun?

  A planet is discovere alfr6zp9u u0jtx(n::d to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If thj9au r(z:n0flt 6u:xpat 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 "astronomi-8ozi3zgmdfo(0 imkmrz0 /v1 cal unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's aver1m/zo(frg0 dzzik-mo8 vi0 3mage distance from the Sun?

State Kepler's laws.ym m9b9.w b puros- ,-,yvg.2r4w gv8s7oew ls

  List the four fundamental forces in naturc*uu0 rzvl,ic.t 47cxe.

  An object moves with a constant speed of 30 m/s on a circulariq z/:s yeopl:wq2,7m track of radius 150 m. What is the i:/m2op,yls e:qq 7zwacceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. axn)kparht+21*y2im jhq59cf 1.qvm What is the maximum speed around a curve with twice the radiustani + 1m*jrqfq5hc hk.29 2p1mvxya)? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bicycle wh.0xeym:th i fw h)i zx(y7bkx46qm)2pee :pymxw7 h (0be.i2fxxyq )4)t mi6khzl 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 locatedysn+n bx-8 ut8g ua8q, 0.200 m from the axis. What is the centripetal ax,us u88 bnty a8nq-g+cceleration?

  How many revolutions per minute must a circular, rotating space station jn 23wm17:iun/j s yv3zuv z)qof radius 1000 m rotatewnuq/um:73 jj3 snzzyi1 v)v2 to produce 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 turn aszjwr s 8+y4m-t 96.5 km/h. What is the centripetal force on the motor j+-ym4 rw8sszcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m strirtau b( c *4bh+;al 0y+7ofcevng. The system is whirled in a horizontal circular path. If e+lt a*fuaycv; b40o bh(7+crthe 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 attachg )m ,k7uj2ev:f8ipbm ed to a strong string and whirled 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:g kf,7u i8 m2p)ebjmv. The stone's speed at this point is given by

  A stone, of mass m, i9yns+t c (bik/s attached to a strong string and whirled in a vertical circle o/n(b c+9ktsy if radius r. At the exact 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 experiences an aeo kk;hs 1nu(*8n / tquz(z6vmcceleration of 4g when pulling out of the dive. What is the radius of curvature of the looph(o;v1nk* tznm ekz /6u(sq8u in which the plane is flying?

  A pilot makes an outside verticaltvgb4ihtu 3,iwt.v-c8dg 1 8m 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 only one-half of hi3 tvggwti d4b .1hv8imc8tu-,s normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times5xzx9 oo gg1j( his weight. What is the minimum radjxo5 g(9zogx 1ius 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+rx aiyyfzl3 hhq:(-9fb1kp. 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 frictioy9zlh3 krfyxb f .p-: +q(1hian between the car's tires and each road surface.)

  A car is negotiating a flat clo**e w3gw .rsurve of radius 50 m with a speed of 20 m/s. The centripetal force *lo3*eww.r sg 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 141elggm( r i r;5chs7k++mabu3 m/s. What must be the minimum coefficient of friction betbuh (m 1rs;ggcl5+37rikm+a eween the tires and the road for the car to make the turn?

  A car is moving with* 5kupx vy; z;4ov/ n3fkzrz:h a constant speed v around a level curve. The coefficient of 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 t: oh*n pzuz5vxv;fk/;r4 zky3he road?

  What minimum banking z8ly+k+,j e/vz0of r xangle is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore friction.)+j0fz/yv kl e,rx8z +o

  A horizontal curve on a bobsled run isflj9).mm 8dy 18sv e)wj(ozqws7+bcykum 9n ; 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 angleb loqj6qq88gm*mop -;t xvx88 of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is n+ 8xtr+9xahshnph0qxq ufjn0g,3 */ 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 h+9dgzt;b,ms torizontal circle of,s+ dtm9g;btz 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 a un/6a( 2a*v s0tyh lwwwwiform 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 the al/ywwh(0 sta62w*vwblanks)
(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 protowq(w0;cr ; qbzs/s:vsn 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 fkktignz+x)qp *.bb b i+e-;1 rorce on a 70-kg person standing on the Earth, due to the Moon i .t+g1kbrb +nibx*;zk)qe p-? 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 atl)m1 mg3hhlag, )gik 5tractive force between two masses is F. If the masses are moved to half of their initial disth g gh))a3im1 k,l5mglance, what is the gravitational attractive force?

  For a spacecraft going frgt+ex4 aogfd-8i5 -wo:,nxo pom the Earth toward the Sun, at what distance from the Earth w:-o45fggewo+ a -tx,ipn odx8ill the 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 i f, ts+)svesu: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 diswv-y5/1; xcqgm/y2k6fd4b7 w bhst tu tance above the Earth equal to the radius of the Earth. What is her acm s1 ty6wvub7hb xgy2;5/dt4 q-kfcw/ celeration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's su5bgjao6 lnt+8rface will the acceleration 5bn8tlj og+6a of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars it31l7cndu/ek 7ydcx s9jn 04at a distance above its surface equal to 3 times the radius of Mard7l0 u4 xcn e1kcsn739t/idyjs. 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 some pl.vtt(hrde,mh / c)o )banet's center, the acceleration of gravity is (tm .,)e) cvdr th/obh$32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 Naqpi0jgwgmj*)p6 1:c on the surface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is itsw*pj1: )g06majg cq pi weight?

  By how many newtons does the weigh13gf v/*u+sk ;qd(/fik ruzv jt of a 100-kg person change when he goes from sea level to an altitude of 500jq v/+iuur;f*3z 1/s fvkg(dk0 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. Ak kub37 anay;1;cd mr* satellite of mass 100 kg is at a point 3r above the Earth's surface. What isyd; *nkru1k ; mc3aba7 the satellite's weight?

  A spherically symmetric planet jy v+p9 o:,(ta,vii jehas four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface 9+tv:,je ,i opiavj(y of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclips6w85s9owwsy f * g ,cl+0 rflgzji4l.ye, the Moon, Earth, and Sun all lie on the same line, with the Earth betweeny0r+ .wz yfllosg6isl5c w49 f,8*wjg 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 t,q ,ey2q9tyel xe -vl6he 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 8abqitjod90 wn e 2r:;the Earth (i.e., it just skims the surface2j:8i0n;rb qd9e w tao 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 Eahbri3t3/sc,h,.q. tb ync(h:ot 9yjy.pbxt , rth (i.e., it just skims the surface of the Earth). How long does it take to make one revolu.ns/b ycyx ,c3o,(jh rbq. th.b3t ,h9pit:tytion around the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above ., .mdt;r :iaxk ceaf(the surface of the Earth. It is observed to have a period of 89 min. What is the mass of (a.i,rxt.e:kfc ;d am the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diamet+w fxjz k0ckb ;9is ck* z9g9ihu 59+ti4vh;mmer 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 tgn,f0 03cu( k+hrdebfhe 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 ehad7r4hf .z5 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 ord7fz. rhh54ae bit?

  The planet Jupiter is jj9zm(,n 7edd $7.78 \times 10^{11} \; m$ 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 onc ms8bbpwg5 am*rdp .x1h9qi;(e. What is the average distance from Jupiter to the Sun? (The disadi 9srwmp b5x8.g qh1 (m;pb*tance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)