Is it possible for an object mova*0uxpab nl2ut+z,x aj+g- cr(x-lp) ing with a constant speed to accelerate? Explaij *axpl2c+-x l)0ru-(n,a pgux+tz ban.

  Consider a particle moving with constant speed such that its acceleration of confw-7vqf0 l9wb xk8-lp stant magnitude is always perpendicula9flw -xf7l8kq v0w-pbr to its velocity.

  An object moves in a circpi i-c6h6t3 x;e3g mdkqu6 +btular path at a constant speed. Compare the direction of the object's velocity and acceleratio3 +q techxii663- mt6ugk;pd bn vectors.

  When an object experiences uniform circular motion, th4k dul ldf4ja +e/g(.zn ue8b/e direction of the accelerati4u8ll +dkbja f.d/ene(/ u4g zon is

  Consider a particle moving with constant speed such that its acceleration of-z1k 8w93q0o.cmkctx dmxjhbendyt:a- 32 4p constant magnitude is always perpendicuwe9p o8 . mt1tcqmk4kynb-cx0d2x3aj 3d-z h:lar to its velocity.

  What type of acceleration does an object movij ceb-8e69wud;, ctzec+m 1rqwi8l, wng with constant speed in a circular path experience? ww+ze t,uwd-crqe c 88mj,;6ei19b cl

  What force is needed to mak hrmacxe sm1v*t7) 7gt5 ;uxs:e an object move in a circle?

  When an object experiences uniform circular motion, the direction of tn9keatec 70 2-x iuu5yhe net force ia t0 5u-k7 eicx2eu9yns

  A roller coaster car is on a track that fod7tk4wi;b/0i f j-mo lrms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top ofmidtwf koli -/74j; 0b the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track thate:djo4kl m)8 lpn;wz+(y)l dk forms a circular loop (radius = r) in the vertical plal(zy k4 o: mn8)d;pldklej+ )wne. 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 verticalktgr/6f v9l)s (wuw*jnns /k( dive then follows a semi-circular arc until it is going straight up. Just as the plane*9f/ grt (nsujn vs(ww)6 lkk/ 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 of uioc; x+*u q 1q(gab ;ayj; ,s+sfut*gradius $r$ 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 con*;k yxpc g 8syshrk.9e:i5kp9 stant speed v. Then it goes around the same curve at half of t;.8ey rsg5k*:hyc9ki 9x pksphe 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?

  A car goes around a cur/syn4-otsv 6ar6d.zf8j0rpe ve of radius r at a constant speed v. Then it goes aroundnrss/4-f8oj v0e. t zdry6pa 6 a curve of radius 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 radius r with speed v. .6; ah 1ldiljkmcl7.e If the road is frictionless due 7m.c1jli. l lh;ea6dkto 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 sanbk)sg867q)4j d iryxom;fa )1secn,me angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radiusoysn1i4dqb) 6,);7f scrm) ja g8nk ex curve is v. What is the safe speed on the larger radius curve?

  The banking angle in jro( ctrh+a/ur0. p uxta4+w; a turn on the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionaj+r4uw uox 0 t;ch p.r/(r+atally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving aroum dp dt 4w-f++ljvwv78nd a circular path to have both centripetal and tange j-l+ww mp8v7dd v4+ftntial acceleration?

  The gravitational force between two objects i5qdo-8 pr qq f3nq,)ias proportional to

  The gravitational force between two jay *fm55u ci((1vj dyobjects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between theirb m2o5px j/e1a centers is cut in half, the gravitational forje p 2ab/1om5xce

  Two objects, with masses 14,kbyvl9pz a$m_{1}$ 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 /pi8hq 60wqw54e cfcd $m_{1}$ 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 uw5/gh:-p oz w;116oau wa1ft(m yvcfm niversal gravitation.

  Compared to its mass on the Earth, the mass of an obje3 mv.vv;ubr ;bct on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. An ouic*n (jeswu mg8ilb.y * d:15buysguw*.n mi b1(*d elc:i58jject of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfacea 0xs9gl .k)x(rrhjnakh y(9:, the rocket's weight

  A spaceship is traveling to the Moge n:f ,rm/7h/ bm7ayys,ckh6on. At what point is it beyond the pull of Earth's gs7/krn gy6,y,/em hh7:mbc afravity?

  Suppose a satellite were orbiting the Earth justa jtl9gmpx5 32 above the surface. What is its jl 9t2gax 5p3mcentripetal acceleration?

  A hypothetical planet has a mass of half that of -n. a ffbqx1p)r)p5w- dvgw/h 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 tpw r1bqfapxg-f5 hd- ))nv. /wo gravity at the Earth?

  The acceleration of gravity on th t4n5f(grc-p, bk9t dq f64tpme Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of kcp ,tpt-4df(6g4rmf 5 ntq9b the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surfxmv1+rh qdn 0dc pyew7377j. pace gravity, but planet B has twice the radius of planet A. If planet A has mass m,qp7he 7vmr yjx1 0d3cp7 d+n.w what is the mass of planet B?

  Two planets have the same surface gravity, but planet B ha(0 ,vzb) bk5vozpzk*hs twice the mass of planet A. If planet A has radius r, what is the radius of planet B5k* bvho zpk(z)b ,vz0?

  Consider a small satellite moving in a circular orbit (radius r) about a sqj* m8u.pws3fpherical s*q3mw fpuj8. planet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, a4ssxdwx0 -aj xs.d3g 5u3qj9jnd rotates in the same orbit. Compare the two satellitx.0js3 5axjqd9g s s3du-wjx4e's speeds.

  A person is standing on a scale in an elevator accelerating downward. Comparellf fo05( ( pxhy1m,zf a9d-i+ ;sipik tha zxo5ilffykd;(ipf ,m (10+sli- p9h e reading on the scale to the person's true weight.

  Who was the first person to realize that the planets movpc8flq n u+b62e in elliptical paths around the S68up+2 lfn cqbun?

  The speed of Halley's Comet, while traveling in its elliptical orbit around t 8 3jaee(pvm9jhe Suj3m jp ea8e(v9n,

  Let the average orbital radius of a planet be R. Let the ougtq-5 bdw y bo86ur/:rbital period be T. What quantity is constant fg uy6twb:uoq5rd- / b8or all planets orbiting the Sun?

  A planet is discovere.3kq5mm.5p g9hary*zsml87c8c bl pyd 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 plane zgqm r.3 c 8phk.ymsmal75b9cly p8*5t be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defk5t .:a: f;7owsjvcacmza ,s0ined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroi0o;,.c7a:k5at:sajfz mw sc v d's average distance from the Sun?

State Kepler's laws. gll gf3k/cv(l.; ;;vvxtkb-of8xn z7

  List the four fundamental forces in nature.b/ycq tu2r84l

  An object moves with a constant speed of 30 m/s on a circular track of radius 15a erp4)nq b.y,0 m. What is the acceleration of the objectnqa4 e)pbyr.,?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum spemihb0g* a ,v0v7mztk8qpq f5 .r3s;vl uroc71ed around a curve with twice the radius? (Assume all other factors remain unchar1fb 0k hcslz3op*r87 ,v a;i0vgqm5. vt7q umnged.)

  What is the centripetal acceleration of a point on the perimeter o0tpf:bnw:)jex h xq )uxi 88w-f a bicycle wheel of diameter 70 cm when the bike ishx t0jwxe wu i: np)-x:f88bq) moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 maqtkch /7mp612f4 exb from the axis. What is te7kpcm 4b6aq 1t /hfx2he centripetal acceleration?

  How many revolutions per minute must a circular, a: 1xz )cixx/b/q lmc+rotating space station of radius 1000 m rotate to produce an art)x1lxm+ axiz/q /bc :cificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes arou )n cx; hpo52ad;ufgj,nd a 13.7 m radius turn at 96.5 km/h. What is the cenp d5a )2g;hcoj f,nxu;tripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1vaw1b a:5tt 2v.0-m string. The system is whirled in a horizontal cirw1a v 2a:tb5vtcular 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 stron5cvwmzdm.sj-pa mpa 19/l q1q a.cm ziy5)9o4g 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 weightm 1iqam 4m9apc- ow)51 v/q.5 yz dmjcas.p9lz. The stone's speed at this point is given by

  A stone, of mass m, is attached to alqzei)bz g ,7:35wy*wtn xq p4 strong string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times the stone's weight. The ston )4xy zwnpi5 ,zt eg*:7wbq3lqe's speed at this point is given by

  A jet plane flying 600 m/s experiences an acyk+l )qe qrtgkc82*i: celeration of 4g when pulling out of the +t qk2 ir*e:yl8 qcgk)dive. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which t2tm85eww)iey he 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-ha8ewwy2)e5im tlf of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times hx ym ovpx3e),a-l 0wx6is weight. What is the minimum radius ofpla o3 w6xe0x),mv yx- 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 ynqfws,z1j/p 5o2lq7:s-c uoq9 ehc6curve 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 fric2-s,6 :7cj9q5/1qzo fyh pn oswluecqtion between the car's tires and each road surface.)

  A car is negotiating a flat curve of rad-v 32 hol.fdvwn qn6v)ius 50 m with a speed of 20 m/s. The centripetal force provided by friction isnf)v.2 ovv-36lwdq n h $1.2 \times 10^{4} \; N$. 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. Wheb.;zj *ydx(;htz: hzat must be the minimum coefficient of friction between the tires and the road for the car to make :b *;;ezjzt(.hhd yz xthe turn?

  A car is moving with a constant speed v around a level curve. +zj 0agxi m+*91vepn uThe 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 thg+x9z a +m*ui0pnj1vee road?

  What minimum banking angle is required for an Olympic bobsled to negotiate a 10.vy: -d)+f7( o atgtbml nvip5e1b* vuxes9e80-m radius tutt(ves v -ep i1a9me7f.) ud:vbxy * 8obn+g5lrn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is - j43xewhu) c2 xfrt1x)7 jhexbanked 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 r8*irm0kid+)oov mq y6 lf76dbadius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is ban*61d7+/zy bvaycpk nf ked 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 horizontal cira+2g3 :k:2 jddzcbg eoelf 7(hcle of radifb:c+gzg(loed7 eha 2:dk 32j us 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 t*kdup(k 0vmk3 d;lj8k/q lbn,he pit area, a race car accelerates 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 vakpbumkdk * l,3vqkdln(j8/ ;0 lue 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 p ok9. vev9b7lnroton 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 fort(k-(6gp/xny ikskhlm k 44j:ce on a 70-kg person standing on the Earth, due to the Moon? The mass yk:k/m 6(hk(4-xjs pgk il4 tnof 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 two ma ey74k psn;2hbbfj 28bsses is F. If the masses are moved to half of their initial distance, what is the gravitational attractive f4nbfyp;kbbh8 e 2s2 j7orce?

  For a spacecraft going from the Ea udjlx4x k+:;iatc8)mrth toward the Sun, at what distance from the Earth will the gravitational forces due to jal+iu8:)t k 4;xmxd cthe 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 is e mcr2x46yzj55w- qj)g *vtgh $7.4 \times 10^{22} \; kg$ 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 distance ab-zyf) (zl4dw wove the Earth equal to the radius of the Earth. What is her acceleratif z 4lzy(-ww)don due to gravity?

  The radius of the Earth is R. At what disv1g *v20w ot)pu+o qtktance above the Earth's surface will the acceleratiok vo)* puv+t 2q1o0gwtn of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars ati/db w . tssqjk6q 4i;nd87cyo)uqw. fq1: p6q a distance above its surface equal to 3 times the radius of dq/q4t6ysf : ib.;sjqd)pqqc iw 17k8.nuow 6Mars. 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 frlx a7s3m9 qhx0om some planet's center, the acceleration of gravity mq3xa70h x sl9is $32 \; m/s^2$. 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.pwrx f+vh-.gop vx)/ ,qt,*ig The Earth has radius r. If the object is raised to a hf-r g vh.x,pvxo/t)*w q,gi+ peight of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change whep f )q7 ;*7rd0roia;ku9dspaa n he goes from sea level9 ;q*dkdar;p7upafs7o )a 0ir 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 satel-d 7xxxuo 5rt5lite of mass 100 kg is at a point 3r above the Eaod75-urxt 5xx rth's surface. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass anpy hy)cvyu d(j8jyu8: 5*mv, vd twice its radius. If a jar of peanut butter weighs 1y5vmy,pv8:hj c(u*8j dyuy v)2 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the4*/u- z thmc8wfdho7e Moon, Earth, and Sun all lie on the same line, with th oh zt-c7/f *u4hwed8me 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 transpzl *4mkl,ly3,5ongky/l sk.k/)ya d c orted 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 circulw t.uts*6ewm*ar orbit about the Earth (i.e., it just skims the surface of the Earth) wu*s6 e*.tmtw. 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 9a,tc*b:a9keu6uovg bx0su7about 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 radius of the Earth iu ebc*g7,9buk6xa o as9:u vt0s $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above tdh )g(hj2nn6mr 1 k*2 dfpse)ag v1(vohe surface of the Earth. It is observed to have a period of 89 min. Whe)nh1 1j) r m(fn akvg(os2hgd*d2pv 6at is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jup*p nwgxok fcs./vn 9h vix1 75g0pll7/iter, has an orbital diameter 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 a radius of;h2)gb3bgy vc24n jp4nfq(zo $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planet in nearly cqnvpag 51-6z circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes1cp zngvq -5a6 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is:xec b5yacgbw4 ( ,e5l/ol c*v $7.78 \times 10^{11} \; m$ 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 Jupiterk49dx d)sfat, 12 years to orbit the Sun once. What is the average distancek t)f4d,dxs 9a from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)