Is it possible for an object4x71xhy; ti4 k vcwzm( moving with a constant speed to accelerate? Explaiwck(h 7y1 xm4ixv zt;4n.

  Consider a particle moving witl 6nvi h 41om;bk+rn0nh constant speed such that its acceleration of constant magnitude is always per4v1li;rn6mhn+0b kn o pendicular to its velocity.

  An object moves in a circular path4tdfb-.*s7 (p pzrcxm at a constant speed. Compare the direction of the p. szd*p-xcr(t b47mfobject's velocity and acceleration vectors.

  When an object experiences uniform circular motion, the direction e /e,xht zb(-fn7vq)vof the accele(he)vnq,xetf7/ v bz-ration is

  Consider a particle moving with coyhegtxli,r ;h*8r8d4 nstant speed such that its acceleration of constant magnitude is always 8*x t,4 yedrilg h8h;rperpendicular to its velocity.

  What type of acceleration does an object 2 u y4qd7dpgiqz oxsc z4yu50; 77t(xbmoving with constant speed in a circular path expe x u0qsd g(o;y77bzcd72xqz54 pyui4t rience?

  What force is needed to make an object movj 0b 3)qmhn7a28blxose in a circle?

  When an object experiences uniform circular motion, thee)ped6c xh +p w(gi/d5 direction of the net forhxgpe(6wc5dp)/e di+ce is

  A roller coaster car is on a track that forms a circularii*ky y0p7yu1f tas),c5p; hu loop in the vertical plane. If the car is to just maintain contact with track f cyit)p5hi,1ys ka *7pu; y0uat 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 circ:xb4i 5d :ci;adalh6yular loop (radius = r) in the vertical plane. If the car is to just maintain contact with6d y5c4; lhdiabxai:: 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 untijtgtsc) kn ,n01 n*1osl it is going straight t1j )n * nstkcgo,n1s0up. 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 of radiu2a4esu3lu7uua fz1a 6s $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of radiuvx- m,hj qne3g 5;jwy3,yokq: s r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal fon5qv yg-:kh 3q3yjwj, m,oxe;rce 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 speed v. Then it goes arofeyq1l /we0pr(hl770 wt5ocxund a curve of radius 2r at speed 2v. What is the centepw 0lwctq r 7l75(/1xehyo 0fripetal 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+tcfe;4 1tjk mfzb :ji *,wc4nstuqm83ljc+) of radius r with speed v. If the road is frictionless due to 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 magnit;n8t), juck *e3+ z:l1mffs jccbji4 tqw+m4tude to

  Two horizontal curves on a bobsled run are banked akxzsx3z my26p1u-5t nt 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. What is the safe speed on the larger radius cuspy ukn35-tx 1xz6 z2mrve?

  The banking angle in a turn on the Olympic bobsled track is not constan5tbl59p y7rcc j7p. wrt, but increases upward from the horizontal. Coming around 7 wrp5b . 9jyrlcc57tpa 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 circular path to have both cenb p-xq3dpd 0c1jk+cy1-a( xp dtripetal and tangep3 x1d(yxp a-d c1q+p-cjk db0ntial acceleration?

  The gravitational force bet eq+r 5/adeu3hween two objects is proportional to

  The gravitational force bzwnr:r)e 7vub rd+y*:o( mj1yetween two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between their cw 9w,7hped, 2vf px6*jd smgk.enters is cut in half, the gravitational k9pghxe,.wpdfvsw6 md7, * j2 force

  Two objects, with matvuy qlbrz;4 hq/ kf9 ece(1yt+0z8o6sses $m_{1}$ 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 masptc/fev3,f b xe:;6qoses $m_{1}$ 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 w l euo 6e/1ifr;k; )edds28icuniversal gravitation.

  Compared to its mass on the Earth, the mass of an object on the Moon u*7 jo zo1lsjmzy7+o1is

  The acceleration of gravity on the Moon is one-sixthkv cnczbwz* . ;0uu2vbg83 ( gdu w7*kvqw3pt- what it is on Earth. An object of 3-bpznvw7bdu w (z. k8 ugqck 2t v*c0v;u3gw*mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfaccaa45v3,tc-k( av bkne, the rocket's weight

  A spaceship is traveling to the Moon. At what p)01tpt x8m/pc9djb kjoint is it beyond the pull of Earth's gravity?t9x/)kjjp t0 18 dmcpb

  Suppose a satellite were yq.p0w/+d0gywg vji 9orbiting the Earth just above the surface. What is its centripetal wqy 0gy v/d+9.wpg0ji acceleration?

  A hypothetical planet has a mass of half that of the Earth ae) aojci3 uo88prb ) oj)xut4*nd a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the accei83 ce)ajt4 * ou xoj8)o)rupbleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth p.yxm( q,dee n,u z*b*6ps0bxy*a;ep what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compare p* y* .e,mbbn;x,ysp0z*eau6qd( pxed to the Earth's?

  Two planets have the same surface gravity, but planet m(y t .th62mv je);ajpB has twice the radius of planet A. If planet A has mass matyjmj t2 hm.;(e)p6v , what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice toh9*pci k9t2 .bx pfw-he mass of planet A. If planet A has radi x92h iw.tp9*bk-copfus r, what is the radius of planet B?

  Consider a small satell32l1dpn.3 sxzkj0w boite moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbital w.lsbj330kp2 zx n1d ovelocity?

  Satellite A has twice ther(z02eob9mibl p ci+ 3(r3vg.csio,t wt .i v* mass of satellite B, and rotates in the same orbit. Compare the two satellite,+iimt 39gzvtw2pvr3ic roosc .b0*((eb. l i's speeds.

  A person is standing on a scale in an elevator accl,1j ,zis):tol-z nxpelerating downward. Compare the reading on the scale t,pl1, :l z)ns tixzo-jo the person's true weight.

  Who was the first person to recqpfm7 *ewz0m7oxa bt-,o -cg/c: 1opalize that the planets move in elliptical paths around px:1qz7cgf*mc7peaoo0 / to-cm-w,b the Sun?

  The speed of Halley's Comet1 v,ucvszz, z5ay/k3p, while traveling in its elliptical orbit around the 5pz,/s v za3yvzc1,ukSun,

  Let the average orbital radius of a planet be R.8ephkg;:b vqx/(h6xfra; ,u-4k4mewh c 6rke Let the orbital period be T. Wh6gh kcbek m;p vkhx(u8:f4hex6, a4rq/ e;- wrat quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbicd7p7 bhtd/+k t around a star in the galaxy Andromeda, with the same orb+ pkdb dt/c77hital 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 orbital period?

  The average distance from the Earth to the Sun is defined as one "0ll2 kap x*c3ae wng((astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distan klng(wlp( * 23ce0axace from the Sun?

State Kepler's laws.juldv, 8zl l)k);e28k i;xiv y

  List the four fundamental forces i:t1f cvakke bzv :/2)an nature.

  An object moves with a conicv5 u 5+qxes*stant speed of 30 m/s on a circular track of radius 150+5*evu5 csixq m. What is the acceleration of the object?

  The maximum speed around a level curve is3fhn e4p 3 )xs *56xa9ndkufiy 30.0 km/h. What is the maximum speed aro apn3n9 xidy esx*fh3kf6 4u)5und a curve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a a jk )t8dxgm5/point on the perimeter of a bicycle wheel of diameter 70 cm whent)kj /5xdg m8a the bike is moving 8.0 m/s?

  A point on a wheel rotatifyj ck-w np2hcruic ;n7yly+on/2f 8 j7+5 by2ng at 5.00 rev/s is located 0.200 m from the axis. What is the centc;7uc cjr52y n+2f7o+ify2p/yn 8wkj- nhlb yripetal acceleration?

  How many revolutions per minute must a cit(px,h 9--dqzkomi/frcular, rotating space station of radius 1000ftoq mp/ ix-h-(9dk z, m rotate 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 ppfo(03r2sg kb 3yho( radius turn at 96.5 km/h. What is the centripeta (ohys2o0frpg(k3 3bpl force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1 cr/h4k.ro 7tzz,u5.cnqvy o0.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximum speed of the mass if the sro,.. /4orq chz7vun5y0 ktzctring is not to break?

  A stone, of mass m, q1 n3c8oh2lrkj1b z:eis attached 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. The stone's speed at thisl 13e jbzqrkhc8: 1o2n point is given by

  A stone, of mass m, is attached to a strong string and whirled in a verticas )bg35)ts urrl circle of radius r. At the exact bottom of the patr)sr sg)tb53 uh 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 accva*xxut/0opfq g9)s 1eleration of 4g when pulling out of the dive. What is the radius of curvature ofg a19vf/)*x xopqu0st the loop in which the plane is flying?

  A pilot makes an outsi9ovxc v18isbyl5 l9p3 de vertical loop (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing dl9vis9 58lboycxp3v 1 own on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can standt-,.p1y1fm e gnv vba, is about seven times his weight. What is the minimum radius of curvaturevf11,t.ybpv , nae-m g 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 roundsl7 xf ;x-ih:xnps..r v an 80-m radius horizontal curve with the tires on the verge of slipping. How fast can t:hvx-lfr .xin7.pxs;his car round a second curve of radius 320 m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m 5fa ;3x9nlmmewith a speed of 20 m/s. The centripetal force provided by friction ix3ma5nlm f9e ;s $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radivmv40 s(eeave ,h *5hmus 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road 4vmvh( *0ev5, meeahsfor the car to make the turn?

  A car is moving with a ugr-b) .rxp5 qconstant 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 i)rugqbxr-p 5.s to stay on the road?

  What minimum banking ange*6cq ztwhc;2 le is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s wi*2 czw;cq6hetthout skidding? (Ignore friction.)

  A horizontal curve on a bobsled run i;t)6j ybca y1bs 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 bgy8vus o9a8;an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked at ajz(mg)ew ).g- ggch: $45^{\circ}$. 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 ho *wj)5atsfz+ygl wc5i8 (/ogirizontal circle of radius 5tf5g8(zialg+wci)so/* wy j 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 pdq2 q0uoh 6 te.ev-cy+it area, a race car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circuld. 6coq0tq 2+hu-ve year 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 consistsct vfm)e t 6wr7i1m+,p 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 ov-:a v5 l6lhcjn a 70-kg person standing on the Earth, due to the Moon? Thea-j5vcvl lh6: 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 two masses gerk5vn8z g,v6:m .zcis F. If the masses are moved to half of their initial distagrmev kzn:gv86z.c5 ,nce, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what dist2r6/i0 dsnhv)1). xyvt hcws fance from the Earth will the gravitational forces due to the Sun a/0h cs r. iv6twnh2fv)xds)1ynd 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 Moondehg w-n9q75j pmc0*z is $7.4 \times 10^{22} \; kg$ 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 "spacpu qo9y4tgx+ -e-walk" at a distance above the Earth equal to the radius of the Earth. What is her acceleration dutu +q9p-oyxg 4e to gravity?

  The radius of the Earth is R. At what distan5pnrjt / 2pt )2g-9xgbgs ;h*uwjp 6cpce above the Earth's surface will the accelerau2gtpjh;wpbg) * x-nj c2p6t/9p5g srtion of gravity be $4.9 \; m/s^2$?

  A satellite encircles Margq4ivy2n o qr.t8 dl88s at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to thev2d qoi8g8yt.lq8r n4 acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleratw5hw1osk+w ;e f,2 1:vjwfkfw ion of gravity is wf11f o,j5wwk;:vefww k+2hs$32 \; m/s^2$. 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 Earth has r*kz28mzo qq3 (b* mqyvp/;hjf adius r. If the object is raised to a height of 3r above the Earth's surface, what isyhqmm8z p/ b*vo;z( 32k*qjfq its weight?

  By how many newtons does the weight of a 100-kg person change when he goes rst4. ,i;muhup:xwtnr/k :) ffrom sea level to an alip,:k.x h4st: f n ru)/ut;mrwtitude of 5000 m? (The mean radius 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 Eay w* - o9n;x g-zwf*czdb-6djerth's surface. What is the satellite's wxn cdg dboe--*wz*wzf96-j ;yeight?

  A spherically symmetric planet has fourl oiwpcjze t/:um4 o 0--o,dm5 times 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 on the surface of t4 dm toj-p,5lei0mo:zw- uoc/ his planet?

  During a lunar eclipse, the Moon, Earth, and Sun mr-x.75gk+rvjw fji* all lie on the same line, with the Earth between the Moon and *g5-j. xvj k7ifrwmr+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 vl3axs y 6r7dgahcg(sw9 *2o6 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 circulu zf5+5 p5wc p)s2uppa6/azzoar orbit about the Earth (i.e., it just skims the surface of the Earth). What is the soz5/ 6fa puwc2p)+ pauspzz55peed 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., de:jw-x b z6z e.u*t+tit just skims the surface of the Earth). How long does it take to make one revolution around txju+. 6z:-z*wb eetd the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the suev q9+oo4 lzu0rface of the Earth. It is observed to have eqvu +lo40 z9oa period of 89 min. 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 diameter gpuz 3php 57,aof $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits thcs6 nniiv8bti . fwv(4zno4 -*e 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 chsd x-ijehvp1./+u r(ircular orbits. Moon A has orbital radius r, and moon B has opvejrx( d+-s h/1u .ihrbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is o)/0ic:2txkt 3j xg5;ob jlzu $7.78 \times 10^{11} \; m$ 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 Jupiterdi0.kx9mb6k. pm q,k h 12 years to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The dqkx.h.9p60dim,b k k mistance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)