Is it possible for an object moving with a constanpm2 jsh *x7c-gt speed to accelerate? Explain.7jh-x gm*2sc p

  Consider a particle moving with constant speed such that its vpq0 akm3 . lznf6:pbql3o)): qzw.ms acceleration of constant magnitude is always perpef33m :)q. n ).pwplvbqk o6:zsl qam0zndicular to its velocity.

  An object moves in a circular path at a zude /p;lj1ehol4u7 vd(1n85n +w kwg constant speed. Compare the direction of the object's p(/5 nj +lgwdu k;e14 oznvhw78d1leuvelocity and acceleration vectors.

  When an object experiences unpa( jau8,7p rqiform circular motion, the direction of the acceleration is7a(rpj8 a,qpu

  Consider a particle moving with constant speed such that its accelerationvvq lnvl(6 s:(,yf;mm of constant magnitude is always perpendicular to its velocit qlsm v;fm n(lyvv,(:6y.

  What type of acceleration does an obje- ph xc,co,3mnct moving with constant speed in a circularmp3n,c x ,coh- path experience?

  What force is needed to make an object mah*a0cph4abc u.(x q2ove in a circle?

  When an object experiences uniform circular mot gc9 e9 94k*9n1ft ma/zurtpqpion, the direction of the net force i n*pu9qk 9tr9 4e1pmzfgc9ta/s

  A roller coaster car is on a track that forms a circular loop in the veri /y/hyatiq2hf2df7*lqlli6 ae3 34utical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleratd7leth2y*l ilqia/3 uf /2 ia3hq4 yf6ion at this point?

  A roller coaster car (mass = M) is on a track that forms a circular looai1jo 01qp6kdisj1 d8 p (radius = r) in the vertical plane. If the car is to just maintain 8idi 6p 1aq1kdo01sjj 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 t( r6 gz 2jmvit/;oo(eqhen follows a semi-circular arc until it is going straight up. Just as the planeir6o ojq(m z2ge(/ tv; 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 curvehmkrht2/jnf9) u(z 7iaj 55dd 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. Then i)1gnwdg;x:l gca;a ylf/6 g/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 curlg/i; w/1l )fg6a;n cag yg:xdve for the second time, compared to the first time?

  A car goes around a curve of ud x-6tp4jy9ben i/b9 radius r at a constant speed v. Then it goes around a j4x/ t6y-beui p9b9 dncurve 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. Ifty1rq i;b27/ l)s5pqpw:kayq qgk67 u the road is frictionless due to ice, the car can still negotiate the curve if the horizontal componentpyb qqk w6/lqq r7gi :k2)57 1pat;suy of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run tqzuua36oqc bn e63i4uxcr 5b6+ aa *6are banked at the same angle, but one has twice the radius of the other. T6 u6b63aqzaurn4bc+3i5auq o*6cxt ehe 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 curve?

  The banking angle in a turn on -f vd, j3do.gmthe Olympic bobsled track is not constant, but increases upward from the horizontal. fdvod jg m.,3-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 object moving around a circular path to havla;ah73 +it dee both centripetal and tangential accelerae a;+ th7lid3ation?

  The gravitational force between two objects is pvp3,ydbj); cgt1f y/mroportional to

  The gravitational forc rifj 75 z,lq7+.ikdvak- d 64bpclji*e between two objects is inversely proportional to

  Two objects attract each other gravitationally. If thesx5 xst2+ ;xth distance between their centers i ts xtxxs;h+52s cut in half, the gravitational force

  Two objects, with ma*ntjb/ :omor5 sses $m_{1}$ 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 massesemswsjc(d nb o+5+xopm a;hz (g/68h) $m_{1}$ 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 un y4*mb b22ukhj)khrh) iversal gravitation.

  Compared to its mass on the Earth, 53/ xxyx*yqpt cj 0g+zthe mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Eae3gin 3(3vpa ip.jfo1qt hbv a6hq775 rth. An object o36e aoh5 vgp7fntb1qja7i3i. h (p3v qf mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket's weighz:ztfz yc7)l:pcz k;7t

  A spaceship is traveling to the Moon. At what point is it beyond the pull o bfz1lf *pf,2epx3 -wqf Earth's grav- w,2*b x1lfepz3fq fpity?

  Suppose a satellite were orbiting the Earth just above the surface7jk m k m:jf9hu).nr7g,zd zs8. What is its centripeta 7zsmz )d gujf.khrn9 j:,78mkl acceleration?

  A hypothetical planet has a mass of half that of the Earth anz;+8dlxslwo12 oc e7pd 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 t+od lcxl 2 7we1zo8ps;he Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Earthb.1ttyo6 ox+a/y ghk .. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compareoy +1 h/ok .gt6yx.tabd to the Earth's?

  Two planets have the same surface gravity, but planet B has twice the rad (2m-z)04bst+qh gr4 ctdh nzxxz e.7mu 9vdw6ius of planet A. If planet A has mass m, what is the mass of plvzx nzt sxrdmez64c9hd.gt u b4(q+w hm0) -27anet B?

  Two planets have the same surface gravity, but planet B has twice the mass of px -pfz uk g( k+lvzf+vz98gkw:o t76;ulanet A. If planet A has radius r, what is the radius of planvg:(+ko9+k flku8zfwxpg uzv76;- tzet B?

  Consider a small satellite moving in a circular orbit (r,f/xvz ry n (4cvx1dp,adius r) about a spherical planet (mass M). Which expvpx(1 f4yv zrnc/,xd,ression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same gqvm92j nif* 6uo-3kuorbit. Compare the two satellite's speedsn uq-mvuok 3jfg2i 69*.

  A person is standing on a sce6xo9 jx*.r9luh ocv 4ale in an elevator accelerating downward. Compare the reading on the scale to the person's true weig9o r9l*u e64 oxjv.chxht.

  Who was the first person to r spp9 3svh6h9pealize that the planets move in elliptical paths around the Sun?s 3hp6hv9ps9p

  The speed of Halley's Comet, while traveling in its elliptical o9u(w o tddd) +snzdmq4)-8h. ke1beitrbit around the Sst+1bizd4od t ).-u9h mdkw)n( edq8eun,

  Let the average orbital raw:* ml 7fs1mlmdius of a planet be R. Let the orbital period be T. What quantity is constant for all planets orbiting thlsfwm*l1 m:m 7e Sun?

  A planet is discovered to orbit hh1ckg- /( aszaround 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 wi1(/ skczag-hh ll the period of revolution of that new planet be, compared to the Earth's orbital period?

  The average distance from the Earth to thdg.jj fznuc +6+e 1wnd25t8are Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun iajdc w+nu1t8+ezg f2.6rj d5 nn one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.p kgh:)irw/oj+od. 5x 4z:z vs

  List the four fundamen*eqwvs6g i18e+2 bvtq*gg -cftal forces in nature.

  An object moves with a constant speed of 30 m/s on a circuz5b2thrii-dtc ux zhi lr1, vpu5: 34.lar track of radius 150 m. What is the acceleration of theirpitd: r513 hz ithxz.,4 uv2-u l5bc object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum i gg9c0z.w(xox8 ybl)speed around a curve with twice the radius? (Assume all othew.xzlcyx )go9g( i80 br factors remain unchanged.)

  What is the centripetal w0ac om*b;3- cz/m ekjy 6i3keacceleration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0ke o kzacmc-w/i0j6; m*y33 eb m/s?

  A point on a wheel rotating at 5.00 r/e 6*pychr3-gw 3i:ta jkd-mz:j ;hom ev/s is located 0.200 m from the axis. What is the centripetal a-6ermpwg h3:h-d i:ay/ 3m* ;jkozct jcceleration?

  How many revolutions per pz,2ip*8hclrj vu3 7d minute must a circular, rotating space station of radius 1000 m rotate to produce an a *lrdih2c p8v3p,juz 7rtificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goq);4l/ qe/dmu9yfmf ues around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force 9/)ufeu /lqqfy;d 4m mon the motorcycle?

  A 0.50-kg mass is attached to the end of a xx7ve * 0-4aa,qc8frym7tyo w1.0-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 ix ,ty-m q7 *oxy7ea84 r0vawfcf the string is not to break?

  A stone, of mass m, is attached to a g cc;l-1er(wv4 esrigb *y(7sstrong string and whirled in a vertical circle of radius r. At the exact top of the par(;erci l(svs g17cyewg*b- 4th 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 in a vertical ez7w5f8 ;lv+f ehwr3scircle 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 this7wv 5wef +;frsl38zeh point is given by

  A jet plane flying 600 gj-7niebj/v.kexxnz:h4;8 t m/s experiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane is flyi:n-vtnkezie8gj 7;/ jh.x4b x ng?

  A pilot makes an outside ver;l q9 eimx(7ti0zg:g ftical loop (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loop he q ( 0geg:ti;z x97filmis pushing down on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pily 0i7jw;t,o kvot 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 vertical dive, can tolerate at a speed of 0;j ,tiykwvo7 250 m/s?

  A car traveling 20 m/s rounds a+b oj-r5(ghcb9)mlya +hxbt/ n 80-m radius horizontal curve with the tires on the vergegjc9+yl m-t+ brb(ha o)bx5/h of slipping. How fast can this 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 4i918q/umqe51zsxup sz*t xoradius 50 m with a speed of 20 m/s. The centrios1xm s q1 i/eq 9*85tuuzx4pzpetal 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 14e2ppw-nyyiyy,ju 6 g6q:v vu*2:wqq/ m/s. What must be the minimum coefficient of friction between the tires and vpe,/w y*qyv2q2q-ngp::ywj6iu y6 u the road for the car to make the turn?

  A car is moving with a constant speed v around a level curvsd (shw a*,va5e. The coefficient of friction between the tires and the road is 0.40. What is the minimum rads *vas(,a5 wdhius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic 6ii48fx en1udwx b27zbobsled to negotiate a 100-m radius turn at 35 m/s1dbiz uix f7 2xwen468 without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is bank5qi5x+m:1 k y,ntiaonx fp7:ned 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 angle of oxjqk9 qrmtq) r ml mu+9 t4(x3+3bqc2$45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is rajrxe0n*tkqe5j+ys/tln.q 35o4p o* x )va 3banked 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 uniforme8xe8ssx/o b+ly in a horizontal circle of radius 0.8b8exessxo+ / 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 axt /nqub6a/.h72 b3mw4jt5rx7 s ss opit 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 va/s57uns7b os63qtatm2h4 x ra bj.x/wlue 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 a2w m4cpu 2*rp.uy7a ra 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 uvomd k ipez+4zt;q-i 56aqw*g5 3 .eton the Earth, due to the Moon? The mass od 4+tqmpiz kaee.u ;5*tiq g5wvo -63zf 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 betweepwgsoi b a3wzzle 8u84q :/1ft5w02g on two masses is F. If the masses are moved to half of their initial distance, what is the gravitatt0g8pws53l4z w bez: i auw/gf8o2q1o ional attractive force?

  For a spacecraft going fh;rdwm 8(p fib6/ )wcnd 1nmxii79q z4rom the Earth toward the Sun, at what distance from the mpn1f) ; zi8d7 nhbwm9i6qcwr x/i 4d(Earth will 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 is .dicli0w32m m $7.4 \times 10^{22} \; kg$ 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-wr5haiv):mas3pa z4 7 lalk" at a distance above the Earth equal to the radius of sa7zvmprh ia4l3a) 5: the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surface wxyup,xa 6e0 (jill the acceleration o0j x (yua6p,xef gravity be $4.9 \; m/s^2$?

  A satellite encircles May)mp+jf egwp 28a4fp,rs at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, aay jp wefm8pfg 2+4,p)s compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km f.1l) po ;ohkrb,zv (hprom some planet's center, the acceleration of gravity isz);hk ,oo1(. phrlvpb $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on9uyo. 7h:/n wdq qq23 :zfjsnhbq -3tj the surface of the Earth. The Earth has radius r. If the object is raised btq oyj f 3znns:h.3/jqu7 d9q-h2:qwto a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 1i( g 4ek:xgt9e00-kg person change when he goes from eei: gt(g9x4ksea level 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 satelliz4g n-j5 ql-vyte of mass 100 kg is at a point 3r above the Earth's surface. What is the satezlq-y5 nvgj4- llite's weight?

  A spherically symmetric planet has four times t u zztyoa0,pj51w 20wfhe Earth's mass and twice its radius. If a jar of01aupyw 5,ozjftw 2 0z peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie6 wi(shl( jjb7 sz*j rj4h:/nx on the same line, with the Earth between the Moon and the Sun. The /*zn 64 hjxhj i:sl(jr(bs7wjMoon 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 2 ;,*fu k4lcwdb73ldyvpmp.iokd7 e1oon.
(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.4;q d. f,ikczd, it just skims the surface of the Earth). What is the speed of the satellite? (d,qz .4;c difkThe mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low gw ba0y1 p94t.lw.mtzgv 1sm*circular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution arout0va 9 t.s11b4glwm ym*zgp w.nd 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. gt5- wzj:fai iih141f It is observed to have a period oifha 1ifi4t5 : -zj1gwf 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 diamet+8 h j5g/.wfwkn*efd jer 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 radi)e mxg,nxk8 q; rhh577dyowq,v ve4 p8us 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 orbital radiux 99out9s ijvjf0b59 cs r, and moon B has orbital radius 4r. Moon A ta j9j5x0 v99fsbu c9tiokes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isxz ob kj3a/w7)c k/s)h $7.78 \times 10^{11} \; m$ 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 orbitl,if: 8 tt*cxa the Sun once. What is the average distance from Jupiter to the Sun? (, ltiax8*f c:tThe distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)