Is it possible for an object moving with a constant speed to accelerate? Explaimq acxf;2a);uq;maax f) 2uc;n.

  Consider a particle moving with constantjfsf:7n idpgsja5n3 7 )e,a: b speed such that its acceleration of constant magnitude is always perpendis7jfg53:jb,ip)enf 7d na:a scular to its velocity.

  An object moves in a circular path at a constant speed. C34x188 *kixru 3,sw0ex wqqdm8ynl odompare the direction of the object's velocity and a8lnim ,uqo3wd0xe3r yw8ds418kxxq* cceleration vectors.

  When an object experiences uniform circular motion, the direction of the accele9w qa2p69cc 2 5ps/k1 gycpvtxration ispyc2w62 99aktcc xpv gqs5 /1p

  Consider a particle movinpuao2-z sa- ds:c.ng6:gyfw2g with constant speed such that its acceleration of constz-gcg:s aw:2usfn- o .2pyad6ant magnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving with constant speei79(jo6m. /zwlrvn mud in a circularm w z/vj.67u9lr(mnoi path experience?

  What force is needed t+9(+k:yr pqtx,l) cyhlyqea 1o make an object move in a circle?

  When an object experiences uniform circular motion, r22nxop;(rqdgy h 8.h ri e/b(the direction of the net force (r8(dx2er. bhq g phon2;/iyris

  A roller coaster car is on a track that forms a circular loop in the vertic u/v;*.lfqj9xnsmm6 ur77lo. wd-mum al plane. If the car is to just maintain contact with track at the top of.u m-.6mr 7llos *79w/q jvndmuxum ;f 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 fsrps 1q.q*7 bmorms a circular loop (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 the minimsr sqb.*mpq17 um value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arcz47 bb- gg ufrs2n:ng. until it is going straight up. Just as the plane is at its loweb.s72g : 4zgubfngnr -st 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 curvcrj 9 rj8r+h7 ej3, uhxaki-h5e 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 spee n0ao 7wp2m m(jowx,fx3q g7qev5ut:5d v. Then it goes around the same curve at half of the original speed. What is the centripetal f q n 05u2o7fe mqt, o(wap:7wv3m5xgjxorce 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 goes5im -t0/3:fudn6hfpe1x toih vx1o9b around a curve of radius 2r at speed 2v. What is the centb19vte/oxuti - mof5fd6pxn31i0 hh:ripetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes arlgvzp-b . /nwfj2p ;w7ound a banked curve of radius r with speed v. If the road is frictionless due to ice, the car can s;-f2wzl/7v bjw n.gpp till 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 babkt-*c fc 5ga*nked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay onbt5f *gc k*-ca 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 track7zznuzh- rn ), is not constant, but increases upward from the horizontal. Coming around a turnn, 7 nzrz)h-uz, 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 bo1)t( ;yb cid,q pshj tgv/6l6pth centripetal an/hg6v d(;pcpl,t i ytj61qb)sd tangential acceleration?

  The gravitational force between two objects is p b6a*iyyn+a7l4vo4h hroportional to

  The gravitational force betoqpbv i)t+70 k/awkb. ween two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance betw a . jg /6 eo2fp*bvw)4y.oajwkc3;. iju3dqmkeen their centers is cut gy joc4uj iew;6vo..2q3b kjkpm.fd*/)a w3 ain half, the gravitational force

  Two objects, with masseo gs.5o:.ctvc 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)hbc 7 7kem3 3thkwe2p $m_{1}$ 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 univ s j1/ 7hj(s;rj(*q rjrolx*yzersal gravitation.

  Compared to its mass ony b.*jsrs hh3vl3gy ** the Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. An92gqm,k x ix +tk/unm7 object of ,2+itnq79x kmxgumk /mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, tszg al21u )t p19:nqgewg 2f+s+zndh:he rocket's weight

  A spaceship is traveling to the Moon. Ataag r)3xcg/d;h f/ zud(mm5l 0 what point is it beyond the pull of Earth's 3 /cu;md lfda)50 hr(ax/gmzg gravity?

  Suppose a satellite were orbiting thkkp,7u2bwru b+.t 4kh e Earth just above the surface. What is its centripetal acce bhp,t4wukk7 +ub 2kr.leration?

  A hypothetical planet has a mass of half that of the Earth and a radius of tw-jrniwxp1 m0tg)n;l(bs 0gc/xbkq0uk n 1,6mice that of theksxxl0)w/m6u 1g10mqbi n(-rg b njc;tnpk0 , Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. The rhjm-7axki 9k 4adius of the M4kkh m9ij- a7xoon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B hw*z/tg4ym(ccri*d/a g 5 pvn+as twice the radius of planet A. If planet A has mass m, what is the mas(*g*wz/yrn/ dtm capg i+45cv s of planet B?

  Two planets have the same surface gravity, but bci2p son9i, e)mp/h. planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planetshi .pbc2m),i/oe9pn B?

  Consider a small satellite moving i4p 59atvofd dy(286fkmrm tz0n a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satelliakt8 mddrf52v 0om yfzp6t( 94te's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbit.f203g sp/ v)rvv weqi- Compare the two satellite's speeds. 3iwgsf-vpr2 0qe)/ vv

  A person is standing on a scale in an elevator accelerating downw 4wkk3+ho .1uf2rmw+ 9izbupmicx)v,ard. Compare thmv4.wpk9wf+) uci2uik +,h 3 zrom1xbe reading on the scale to the person's true weight.

  Who was the first person to realize that the planets move iv +4utz yowz u6lze2: dsmw/en148kwk: c qe,8n elliptical paths aroundew, weq ey 1z:d8z4o 46/st8vu +l2umwknz:k c the Sun?

  The speed of Halley's Comet, while travelinh,wb,p2z6u v lvt e5d1g in its elliptical orbit around the Suh ,tdpb1vwlv6,u ez52n,

  Let the average orbital radius of a planet be R. Let the orbital period be T. )9zw u wiyb-ayo.)d u/ What quantity is co)-w. z iby/ u9)waudoynstant for all planets orbiting the Sun?

  A planet is discovered to orb).cy s -j3 q)fhyqdyz-it 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 dyyqy )fjsc.z3)h q-- to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "astronomical c w iitr.i( *.m7num0runit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's amrtr( .c 0mi.iwu7*i nverage distance from the Sun?

State Kepler's laws.c0h1 4g8qjaz tc94zul 9v.fse

  List the four fundamenta.basru fx,edwbc-2r *2- wpt;l forces in nature.

  An object moves with a constant speedpvt5r :pndg 3e+pz74n of 30 m/s on a circular track of radius 150 m. What is the acceleration of the obztnp :vg +5pd ne4p37rject?

  The maximum speed around a level curve is 30.0 km/h. W8g rjzm/w 2,bhhat is the maximum speed around a curve with twice the radius? (Assume all other factorsmzgh ,/j2 8brw remain unchanged.)

  What is the centripetal acceleration of a po* sywq)tqx .a))s pv3pint on the perimeter of a bicycle wheel of diameter 70 cm when the bike is movi))a.*sspw)qxypqt 3v ng 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.20,,x: 9 a+i jpwjkrsx.l0 m from the axis. What is the r ,:x+sk, wix9aj. pljcentripetal acceleration?

  How many revolutions per minute must a circular, rotating space station of rad6n o0p48p gaobius 1000a gn 46ppo8b0o m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around ahml a iis46q;vu el/:28c/ qgp 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motorcycle?/; p/68:q isq ev igma4lc2luh

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whir m)kc4k5ppb/rpt2l v ..lzkx. led in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. pt )klc4.pzb/kp5vlk.rmx2 . What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a 8-mnm, u59pcl v,sg-g3qr l sustrong string and whirled in a vertical circle of radius r. At the exact top of the path the tens r9 85- vmmspsunq,lc,u-g3lgion 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 i3whcjb34 t8+ um*a3ddgsd8 fin 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 stone's speed at d+ w8fgsihmj t8duba4d3c3 *3this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4w-i3zcecjnk*r5 p v0*g when pulling out of the dive. What is the radius of curvature of c* *k50jn 3pzicervw-the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the mrzuu7cb8hjoj,- 20h1v4ki fcenter of the loop is beneath him) of radius 3200 m. At the top of his loop he isv hrj 7201-j4hzbkfu8oicum , pushing down on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seveiq n)n; -g3t9mv ssd3pn times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at-m g9npqtss ; )3d3vni a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-mttf0wbb y)30d radius 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 ot )03b dwt0fybf friction between the car's tires and each road surface.)

  A car is negotiating a flwrhro(k0 2ych,qt:c ) at curve of radius 50 m with a speed of 20 m/s. The centripetal force provided by frictr2h0:cq)yc r , thwok(ion 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 14p4m cphoyv(k5k/9hv-1 fy0 a r m/s. What must be the minimum coefficient of friction between the tires and the road for the car to m94c /pv(m pr1y-0afo5vhhkk yake the turn?

  A car is moving with a constant spee4:ynf-jo1 h7x tqhe 0td 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 n1hq xe0j fy:-t47ot hcurve if the car is to stay on the road?

  What minimum banking angle is require hz5h4ikm;f9 sd for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skiddi4sh;kfhzm5 9 ing? (Ignore friction.)

  A horizontal curve on a8x,iu8kd8fofi/ km7a 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 an anlhhn ,(9w8 lw lwdtsuh-80u5igle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked p(g -anw+t4rjws /jy( 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 wlm5i -4n4g:z:uvwcq of a string is revolving uniformly in a horizontal circll qm :4-cw 4vni5z:wuge 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 acceleratefqwv v tf+ao ;s4/- w+lr7w:ccs at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular trac+oat 74fvwf/s ;w+:c-wlvcr qk 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 consists ofm -k r1m973,75kaig wx st+gt edclw;e 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 a 70-kg person standing on the Eaaag,d2bl 09 qmrth, due to the Moon? The mass of the Moon im,ladab9 2gq0s $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masses iz1/ -ob,lqr (a5gdgjqru3 -ets F. If the masses are moved to half of their initial distance, what is tj-(/ t5z3u- rggqb1daq e lro,he gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance fmew-mdz9*;1onzia ; drom the Earth will the gravitational forces due to the Sun and the Earth cancel; dzm 1dwonza;e*i -m9?
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 t n-q,3+. 6ns/ztsyyl)8 1 fnrkwmeif$7.4 \times 10^{22} \; kg$ 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 above the Earth e3j/sk rm 7; 5a0qjium* 7ozidcqual to the ra;sa7735*j0ikujm / cq rzdom idius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Ear706uv hais8ld+qwmc/, y zc3jth's surface will the accedyvhs/wi0clq6 j7 +cz3 ,m u8aleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a x frqy +ko 5rg.4.x)-fzw /jlndistance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration o. 5x)k.f fg y-r/r+lnjox q4zwf gravity on the surface of Mars, is

  At a distance of 14000 km from some planet' ka+ky(u-7er ws center, the acceleration of gravity iw7k-e akyur(+s $32 \; m/s^2$. 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 ivt f66c,rcofko.p,u u 71r:oEarth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is its weight?o cvofr76uc .tk ,fo: rp,6i1u

  By how many newtons does the weight of a 100-kg person change whe0 i jg a:6,jpp iumags,.1ar;wn he goes from sea level to an altitude of 5wia,;, jum.gr 0 aja :16gpips000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius ra h:9y7 vvr8lreb j /3jz/uq+f. A satellite of mass 100 kg is at a point 3r above the Eart/ yqb jh ulear f+:9jz73r/vv8h's surface. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and torsgiv k( h*e s31vk-g((q,vpwice 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 ofsev,r(*v3s(iho k(p k- 1 ggvq this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all f oeh 0mh,8fh*uyk py99.4l dwlie on the same line, with the hp fhuokh9y*,l8e 0m94.f dwyEarth 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,ve ;x5 yrfvuuzk+:: g transported 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 circular orbit about the Earth (i.e., it jzx70l(7 hee*q bxz2 icust skims the surface of the Earth). What is the speed of ec*i( b2xz0x7l e h7qzthe satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a l*c ojpl,2x (snow circular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one reo2*,lnpc s jx(volution 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 the surface of the Earth. gk(:mzh b q9*0g08 pg c0bxwpvIt is observed to have a period of 89 min. What is the mass of the9gm(80 zqpkg pv*x0 b0 bgw:hc Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, hassxwn+-7 i -p(u-mlslx/to ir* 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 x:.et *al* u.khhp-ybwith 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 has orbitni( uvy5rx fx-;+is/pal 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 r n5uxi /(+xs;piyf-v orbit?

  The planet Jupiter is nj3 0a 9pumm88dl bg,t$7.78 \times 10^{11} \; m$ 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 Jupitej081 uupx i-azr 12 years to orbit the Sun once. What is the average distance from Jupiter to the Sun? (Th0j8p-z i 1xuuae distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)