Is it possible for an object moving with a502b w96zgdg-om 0 scdhq+avfoh c /;x constant speed to accelerate? Explain.h b 9 fwv/-206cg+ogdsamdxhz5 0o;q c

  Consider a particle moving with constant spp7p:-hw 7eu-jcw mt*xeed such that its acceleration of constant magnitudp em ju-:twpw*x c77h-e is always perpendicular to its velocity.

  An object moves in a6u:s+rol w p fcl dx71vw;rl99 circular path at a constant speed. Compare the direction of the object's velocity lwu +d9sxp7 vf6rlcr;wo:l91 and acceleration vectors.

  When an object experienct d v c,o2-b9lp:y j+xkihx8n/es uniform circular motion, the direction of the acceleration vc,yh: i+l dtx-j 8/xn9kpo 2bis

  Consider a particle moving with constant speed such that its acceleration of cofbtgea/t1jj+. w)b/um3sp7j nstant magnitude is always perpend3b.1 j+j)ubpwtg/ / fa7etsjmicular to its velocity.

  What type of acceleration does an object movin o/i7jy ou ypd62:v5jxg with constant speed in a circular path experience2ijvoj y7do:u56pyx/ ?

  What force is needed to m kf4 feb2gy-1h+bu tq5ake an object move in a circle?

  When an object experiences uniform cipm(m (pln66lf; t(l imrcular motion, the direction of the net force (6 ;illmt( np(pmf6ml is

  A roller coaster car is on a track that forms a circular loop i2h .ki ,i,p.rv/cgqrdn the vertical plane. If the car is to just mid vr k.h.q/ci,,r 2pgaintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) isf dqzk+os):-ptcq 8-xr at,3r on a track that forms 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 minimum vaqk)tdc ax- r zfr-p+,qst3:o8 lue for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc unti(n qt u4p7mfy *w6jh/8wh8 jcql it is going straightw*jhcntw h7uf8p/y(m q 684jq up. 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 curvep ls2i;dmpc yv9,;)z f 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 rauqnbik1;lw9msq* tc t 2j(6p2dius r at a constant speed v. Then it goes around the same curve at half of the originakj2;n16tst*(w9qb l2qc ip m ul 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 curve of radius r at a constant speed v. Then itt58 i 5pv4q5lvj 69pt irgh2uo goes around a curve of radius 2r at speed 2v. What is the centripetal force on the 5qrop gtl 8 h9j4v6p it5u5i2vcar as it goes around the second curve, compared to the first?

  A car of mass m goes around a ba/tjk/yu;qy4kfq:va m /ux .;ak5 jo 1dnked curve 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 v;qk. /kaqt1/a m/ ud5: yo4ku fxjy;jof 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 same a,1 gi fo( 22 ade1gmp4q-tqhus(1of xongle, but one has twice the radius of the other. The safe speed (no friction needed( 2iqg,efou14m12a1t fs(hp oo gx -qd 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 the Olympic bobsled track is not constant, but y/ 1+-ya ct u mizpi:7vuduz:fx5:k x6increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," th :v5::+ kif1yi mtzcx6x/u7za - dupuyen 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 boxjb n4,yapg /u5pjab3) 7o0t jth centripetal ,jo5x4jy/anu)0jb 3b pa7pt gand tangential acceleration?

  The gravitational force between two objects is proporti,u16vu* wpwc xonal to

  The gravitational force betweenggj0b7y98db5 h:b q tg two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance betwe lip4j g zoe(ax3++9iaen their centers is cut in half, the gravitational foi4 zixa(gp9eaolj+3 + rce

  Two objects, with mas/m9 0/c qmu vgcb/, 2cx)cuhhxses $m_{1}$ 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 al-;jvsy5wtb 4: b6u 4 cu(p/,kxra qt$m_{1}$ 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 ubado; d x qygf33nm6* -pdf57rniversal gravitation.

  Compared to its mass on the Earth, the mass of an object on th8bn+loy ca+7heet0 tmpa5, 3ae Moon is

  The acceleration of gravity8qyo6wjmub3()cp5twsp wb9l *d ey /( on the Moon is one-sixth what it is on Earth. An object c9p(we) ps 6wy8 bl53o/jqbwdtm u*y(of 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 z nkvq) b6u,6 nn9z9zwweight

  A spaceship is traveling to the Moon. At what point is it bey ;zbcl(5k4aobhgl0 rv69sou ;ond the pull of Earth's gras rkubblgoa 4o5c0vzl;6h 9; (vity?

  Suppose a satellite were orbiting the Earth just above the surface. Whato)xl /dg6wm:f: y.;ffm 5wptu is its centripetal acce:uy6;mp/wf:f 5wf. l goxdm)tleration?

  A hypothetical planet hn+4v-z6,jbva;sgvh mq trm- .as a mass of half that of the Earth and a radius of twice that of the Earth. What is theajmq, -n r6t;.m bv-v4gvhsz+ acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravitl3tulyg 6w7zg 8bvym5s+7;f 4in .b bly on the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth thl+si3 v56tlg 7;b4bmy8g wfbz7n ylu.at of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has twice the radius v- 8w( *cb sd/dzgdg2bof planet A. If planet A has mass m, what is the mass ofv/8 bsz*(g2 wdb-d gdc planet B?

  Two planets have the same surface gravity, but planet B has twice thaut9 n:k3eh/2zjsii)f -n5mhe mass of planet A. If planet A has ra5 mtf/-n9n eksh a 3uz:h2ji)idius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sphehpy.;/z g cpi 13vyl79y( hvhkrical planet (mass yyi zchh/ 7(9l p.v3vy;hp kg1M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice thc0(cdev2 vvgjb:a0.,6jn efge mass of satellite B, and rotates in the same orbit. Compare the two satellite's speeds.20vjvg 60 j .cc abn,f:ev(ged

  A person is standing on a scale in an elevator accelerating downwar7icert ll.cc hi,xcmpn3 8p(:v+fh :- d. Compare the reading on the scale to the persop .(ir :ncc+c7pm-hcflli 8ex ht:3v,n's true weight.

  Who was the first person to realize th ,vm;k-s bb,;crv ps;cvb)*dp+ by7yoat the planets move in elliptical paths aroundm+ ;)v p,b ysocdrsbk -b,;7v;b*vycp the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit around pb0a;g0m3q f 2-pue vpeai,g9the Suie,f9;g2 p0m 0eqpbv aaupg -3n,

  Let the average orbital radius of a planet be R. Let the orbitc uzm60 5lt-mval period be T. What quantity is constant for allzt 0m5vlucm6- planets orbiting the Sun?

  A planet is discovered to orbit around a star in zz8s ;j q mw08, po:f8mgek:lnthe 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 wg:8 sl8m; ,f z0kwneoz8j qp:mill the period of revolution of that new planet be, compared to the Earth's orbital period?

  The average distance from the Earf6 wy +63m7t)ibxw dkytg4o.y th to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. Why4t w6 tgyyb 6dw+x3m .ikf)o7at is the asteroid's average distance from the Sun?

State Kepler's laws.d: l.li irlqxcc(55 ;)isn*gx

  List the four fundamenta) .+hy xu m,xf,uzswz,re(5jol forces in nature.

  An object moves with a cons 2s6jay *.qwlutant speed of 30 m/s on a circular track of radius 150 m. What is the acceleration of theyq6js. la*u2w object?

  The maximum speed aroa:b . sx9rekf2und a level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all ot fex2:r9as. kbher factors remain unchanged.)

  What is the centripetal acceleration of a point on the peylwg;3y q5-bih- g-d b9 /pmngrimeter of a bicycle whehmq 59 gbgd3-g/ ipbw;--y ynlel 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 located 0.200 m fro g r3wg gj/jub2ub/m4,m the axis. What is the centripetal accelegg r4u jmbj2 ,/3/bguwration?

  How many revolutions per minute mjpx/ht-k .r 3pust a circular, rotating space station of radius 1000 m rotate to produce an artificial gravi- pt.kpjh3rx/ ty of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It g j* dh3i7mlm:soes around a 13.7 m radius turn at 96.5 km/h. What is the centripetall:jsim d73*mh force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The sysn0lh-s gx9- e 1 fox7wzfu:wc/tem is whirled in a horizontal circular path. If the maximum tension that the string can wite 1 sfu0l/xf nwx-9 -:ozgc7whhstand 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 stryykeg 4-dcg4+ ong string and whirled in a vertical circle of radiueg dky-y g4+4cs 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 this point is given by

  A stone, of mass m, is attached to a strong string and whirled in a vertica:1jdr l+dcv /ll 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 this p/+1l l dcrvjd:oint is given by

  A jet plane flying 600 m/s experiences an accelk( :9mdlgf 05ln9f vweeration of 4g when pulling out of the dive. Wh: (50vfn lkd99eflwgm at is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in w8alekxktd aed k0 4+k4p,p9g6hich the center of the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing down p49lkax+ ketd aedk 0gk68p,4on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weight. What i9l-9rhcp zq.ms the minimum radius of curvature that a je.hrz99 -mlqpct 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 curve with the tip*nw / ibg/3bpres on the verge of slipping. How fast can this car *pb//nbgwip 3 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 with a spfb83lz( po9xb: t2i8 y8 fmcgoeed of 20 m/s. The centripetal force provided by friction is8fio8y b 2lgb9mo fzt83x p:c( $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 50 m at: ie,46 fdgf oslbo.p9 a speed of 14 m/s. What must be the minimum coefficient of friction be sid f4 :,6b.flopoeg9tween the tires and the road for the car to make the turn?

  A car is moving with a constant speed v around a level cuo0,r v7+svj h 3tsng);utfc;o rve. 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 the rons0sjorgv; +v, ouht7 cf);3t ad?

  What minimum banking angle i1ddf+r 9rmkkq,a0 fr4s required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s withoufda9k f1d rrk0r,4qm +t skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is bankeb y *)bt::wlymd 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 ofcfn,+bfvm m.72a9 vh q $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is baw8lb pufz g:n.) ;)vnfnked 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 1 8z (xmcccy3fs+2trl circle of 3+mzc8c yfcsr1( xtl2radius 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 iqh: k9)vzqvtq i2metz9p+9 63z n wl4the 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 ) 9wvh zqt:lq94zzpm6 vkntq3e2i+ 9i 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 of a proton of7urmlu)ma-1v d r9pn( 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 Earth, duemr - i (m bmqsq5oal.3avw74.i to the Moon? The mass o(m3iqq4m-a b.v 7 amwi. s5olrf 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 is F. If 78kbq3mzfu0t txx 2x5the masses are movexfxx23m 5zqkt70 but8d to half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going f2i+;g ;5u icefykgbzn )7wff- rom the Earth toward the Sun, at what distance from the Earth will the gravitational forces due to the Sun +f5zbg)-e ;yg;n7wkiu fi 2fc 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;btta:l;wq( mkce k /0 $7.4 \times 10^{22} \; kg$ 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 d 50 ljc3rwz4ubq 52tmcistance above the Earth equal to the radius of the Earth. What is her w0lc4m 25rjzb 3tcq5u acceleration due to gravity?

  The radius of the Earth is R. At what distancex) rq6cng p/k+ above the Earth's surface will the acceleration of gn+kcg )q/ 6xrpravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface eqx.vmbv:hj a 8lqa6fh*66y ty.ual to 3 times the radius of Mars. The acceleration of gravity of the satellite, as comp. vv mh6jqt:l 668*fy bx.yaahared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleration jh*6 3 op.1zcm9b95kezh b59xktrmuj of gravity ist 5bj5 36 h1 u pkmjoxez.r9*b9ckhz9m $32 \; m/s^2$. 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 Eartj:9j mr qhw,n6 qv04joh. The Earth has radius r. If the object is raised to a height9:hm ,j0vj6r q q4ownj of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 10y)34: yzg: 773l)l u e-uif/s0vjmika stmipr0-kg person change when he goes from sea level to apisvygi47 7 z:lfiema/y3-ru)3s 0ktm:l) jun altitude 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 3v+ns a s hrxyn-- 4f-y,tjdq::r above the Earth's surface. What is 4+:nnvxat-yfyshq,- s-: rdjthe satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and twice its rb;gzzsjw o6lu /x7-yca ry7l+k+:7je adius. If a jar of peanut buty+z 6bxugsl+;k -7lceya7o: zj w/ 7rjter 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 lie on the sms45 bvv x2 i,j gvpi6zbo;j9 wp+/9 ;ac5vqohame line, with the Earth between the Moon andp z;9ov2;a9 5svm5 bc+4/ wibghj o6,jiqpvv x 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 traga, xbxb wc22m3 1:wktnsported 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 abo9qd5gee. dp+ hut the Earth (i.e., it just skims the surface of the Earth). What is the speed of the 9q+eg5ddhp. e satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a lowym+k+pb.yb 1 r x)pvc( circular orbit about 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 Earthpx pm( ). bcr1y++vbyk is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above d+yx q+79*mkro6bsg s the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean radius of the Eoygs6xs97 +r*+kq dbmarth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diam x.q 6o1khya5m:zwko*eter of $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupi. h;eac /t7 h3hxgzr1nter orbits the 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 circ)ce2-no1fy +g5 cn rdnular orbits. Moon A has orbital radius r, and moon B o-f cdr1e 25yn)nnc+ghas orbital 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 i*p4 2 ouhj0h/ y7ilws83ys t6;+kp-y rgkqzjns $7.78 \times 10^{11} \; m$ 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 yeg+ hzfzeu,ix.p;m kh3o(f(i *ars to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distanc. ffgxo +m3kz,;uhpzi(*i(eh e from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)