Is it possible for an object movz+2c 7)dsqx lwing with a constant speed to accelerate? Explain.lzd s)xc q+72w

  Consider a particle moving m;7bwnm zbgs(/ppa676 o 8gj7 co)jli with constant speed such that its acceleration of constant magnitude is always pego)npcj(mgw77 b8bmosj/6ap 7z 6 l; irpendicular to its velocity.

  An object moves in a circular path at a constant speed. Comparexh(c)q )ll7 (hyu. la8- ucijl the direction of the object's velocity and acceleration vectorah jui)lhc7 l(8 -.lqu)xc( lys.

  When an object experiences uniform circular motiou)q:xl )ozs) :xlyrp:- qt+pen, the direction of the acceleration is -l:t zeul)q qy:p)ox:+) spxr

  Consider a particle moving with constant speed suchsrrr51 xn)h-o that its acceleration of constant magnitude is always perpendicular to itsrx sro5nrh)- 1 velocity.

  What type of acceleration does an object moving with constant speed gh8ubk:o)3kh in a circular path ex8 ukb3hh g:ok)perience?

  What force is needed toza0ksw5 fyz,rss5ly ts-..-h make an object move in a circle?

  When an object experiences uniform circular motion, the directi2jzpm:f8)v 7dfq8 , if6.phx vvlro+ non of the net forcdl2jxn+ 7v.pfvvr8izf:pf, 8 om) 6qhe is

  A roller coaster car is on a track that forms a circular loop in the vertil *x:d, a t7bi6hn6indcal plane. If the car is to just maintain contact with track at tha*td:7 i6 ldni ,nb6xhe 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 ci p:r bt1 7kz:airi6sexs0 o3cf9vgi68rcular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the track avicskgr3866rizeat 9:sx o:i0 1bpf 7t 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-circ zf de/80sgkx(t0hh*zular arc until it is going straightezh/0d *0s (hzfg8tk x 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 curve of r a+(box6 j-2y+u h(o r9,/jl nlhvocfdadius $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of rbr-atfw0xoz 1-pn0 6uadius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal fot 6axp-fu1 -b0wo nr0zrce 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 aroun apc 7.z5ulrc:j oeofah 5/:r5d a curve of radius 2r at speed 2v. What is thejeua7. p rl5ocz5/cr:ah:of 5 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 curvzj7w9y30 i ztcp i (o,rtkk7w(e of radius r with speed v. If the road is frictionless due to ice, the car can still negotiat7tw(ikrp oyzz,c jk 37w 0(9ite 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 bagzgc:d6 pbxnb87 u3um/o k0 z0nked at the same angle, but one has twic6 0od gu /z7bp0zxgnckbm3 u8:e 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 curve?

  The banking angle in a turn on the Olympic bobsled track is not constantmh:exl 6 b+8ozu3(e.yme/g gv a,8fx x, but increases upward from the horizontal. Coming around a turn, the bobsled team will intenti me/8lg6 e h(x3, u:.+afmx8x yogzbveonally "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 au cvuxy3.zs)6jh7uv5 l 1- pocentripetal and tangential acv.av)u yzlop71xu5jus-36h c celeration?

  The gravitational force between two objectsd0 a1c,xo2o.trg rwyy uu 0u)53f /ver is proportional to

  The gravitational force between tom+mdm9om;p ,;jz ch:n 2hm3 kwo objects is inversely proportional to

  Two objects attract each other gravit y9i a8fd5pzarj71jku yjbj8*4x32.mq lz, ndationally. If the distance between their centers is cut in half, the d9akz5m4,8z7buqja 3 pij*2 1n8dy rlx.yjfj gravitational force

  Two objects, with mao bf2k +*ged-usses $m_{1}$ 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 massessu0nntfv 81 r+ $m_{1}$ 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 universal -a9pbl zk.;b 5*nmq fogravitation.

  Compared to its mass on the Earth, the mass of an object on the Moon (vv.ta-m: puw is

  The acceleration of gravity on t6ok lj 7xov::khe Moon is one-sixth what it is on Earth. An object of massj :x7kov6ol:k
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rockedg, duvblw*edf9hlh/ *yn22 (t's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull of E o4dtkk*l3iv/w. 6ydwar*wot.wilk yk6ddv3 /4th's gravity?

  Suppose a satellite were orbiting the Earth just above the surface. Whatzi7fdu5( lm67k q9lal is its centripetal acceleration a l5q(fldzi79mu76 kl?

  A hypothetical planet has a mass of si z1x* bt(lqvzs5*9phalf that of the Earth and a radius of twice that of the Earth. What z p tq1s59xi*b(lsv*zis 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 s7nk*58ajw 7d 6 ituvlis on Earth. The radius of thv58lnkd7 t i7aj*s 6wue Moon 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 has t hq,tk:v*6kl(c3gwa sv7u6s1 npxy i: wice the radius of planet A. If planet A has mass m, wh3kwnvty6,pg7c6k a(q xs il:: shv*u1at is the mass of planet B?

  Two planets have the ;u3whs4b0*be f+hliw same surface gravity, but planet B has twice the mass of planet A. If pla lw* 43he0w+;bu bfhisnet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a cix e8owom48d 65zmmx/ugc/0 hxtxdh2/rcular orbit (radius r) about a spherical planhoo4 z/6 wx//ddxm8 x0etmh8 ugx25cmet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same mkzvuege1 4+fq . bdo(a-e;r0orbit. Compare the two satelliteae; fg+-ed1 4(bv0umr.ekz qo's speeds.

  A person is standing on a scale in an elevator accelerating downward. Comwohdq0l 65w/sx s az)0pare the reading on the scale to the person's truh )s /0adozw5swl0 q6xe weight.

  Who was the first pe lg.g(9qdi3dc rson to realize that the planets move in elliptical paths arog3( cigddql.9und the Sun?

  The speed of Halley's Comet, whi5ycxwz7 f /n2jle traveling in its elliptical orbit around the zn7y5w/ 2fcj xSun,

  Let the average orbital ra5 j2,teue (saqdius of a planet be R. Let the orbital period be T. What quantity is,tse(ej u5aq 2 constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, with the pr w8p.d)m.a *tm)u wbsame 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 to thpm.*d) rt.8 wawb)upme Earth's orbital period?

  The average distance from the Earth to the Sun u8t kb;b1*.a)usp y hcis defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average dist *1tphb kb8usc ua.)y;ance from the Sun?

State Kepler's laws.- 9 /o4i/y7tdhazmjeh

  List the four fundamental forces cjr).evz :4pzin nature.

  An object moves with a constant speed of 30 m/s on a circular track of radiuje*6/ zhwri;:,x za lis 150 m. Whaa,i/ez r:i ;hw6xzj l*t is the acceleration of the object?

  The maximum speed around a o3x-)zugudac.r4)hps -s rq/level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remain unch)qsah s)gzcx3upr- . o u4r-/danged.)

  What is the centripetal acceleration of a point on the perimeter of a bicyclaavnt4bl nf9;cww03z7t x9rt h6 y9j3e wheel ofz4 7w 0t3; tahfx9wtl93b 6 cjaynrnv9 diameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00rofu o7 ,ul)1r va+m5n54lkzo rev/s is located 0.200 m from the axis. What is the c+vrou4korzm l7,5l )u 15oan fentripetal acceleration?

  How many revolutions per minute mus +d1:z+ gfhsq/dr ux( -ltaca9t a circular, rotating space station of radius 1000 m rotate to produce an artificcf1lt +zqx+ :9h/dg sada-r(uial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mazc7nb- uw;9ns r2kv8)+nmbzcss of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motorcyclz uk)m27bvr;8 b nn -ws9+nccze?

  A 0.50-kg mass is attached to the end of a 1.0-m st j./w amru+f08ywsx6o 4r3xttring. 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 ofj ys6rrmaf/ o0.+xw3xttuw84 the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whirled in a vertical ciryzn8ejn;yry l- +6-; mnes)mecle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight. The stm +nsjrz e)y- n8neyml-ey6;; one's speed at this point is given by

  A stone, of mass m, is attached to a strong string and whirled ixh )/rtxq *hpd* bw;d,n a vertical circle of radius r. At the exact bottom of the path the tension in the string is h/t,; hdwxdr)**xb q p3 times the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an accelerat , nd./dy4mtrbion of 4g when pulling out of the dive. What is the ramb /,ddn4 t.yrdius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loopfl25yk /f7,axc b5 ndan +7srn is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat with only one-half of his normal weight. Ho/xs2cy77 b danffnrk +n,l5a5 w fast is he going?

  The maximum force a pilot can stand is about s wa 4bx3jq-3)tba pax,) cgg)geven 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 25xqt ab3acag xw) b)j4,- )g3pg0 m/s?

  A car traveling 20 m/s roundse13eo1wgpc 7 dfzp2u. an 80-m 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 c deou.g7pwz1fc123e poefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m with a speeqr,5xrfa9rb3 .hrx )ud of 20 m/s. The centripetal force provided by friction isr9qxrfrx b,rhu )53.a $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curv-/qukdrx5dg/ qi, 9zwps(m t +e of radius 50 m at a speed of 14 m/s. What must be the minimum cgsmd/ti95q +q - urw/px,kd(z oefficient of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v around a level curve. The co5) jf-1 .jdkbfe89vd,wz zz toefficient of frictv.z- tw 18)zd5f9zekjjdofb, ion 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 road?

  What minimum banking angle is required fg: i5d y*p.broor an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ign5pr*:y o.i bdgore friction.)

  A horizontal curve on a u5-f3v*t z raybobsled 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, q-f+t p43e1xftorqg( f2tg p.banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 mh0tkllu 3ca:l; mn/3eb upn,9 is banked 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 i:v9pj6*dh5k fjk8g9hmsmsx:h8 ;w dt n a horizontal circle of radi*ks9sx 8wm dtjpd 6k5h9vh8:mf :j;gh 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 the pit area, a race car accelerates at a 9nx8+crz)q)9 ft )h:chxg ttc uniform rate to a speed of 45 m/s in 15 s,)9zt+ ct )rtc8q 9:ghhxx nc)f moving on a circular 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 consists of a proton of masu 77mda :qeamx *o*;adm wi81ks $1.67 \times 10^{-27} \; kg$ 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 t)5a3k+ vok wd;gk3z4xk+9 s z nu:txdrhe Earth, due to the Moon? The mass of the Moon kdko4n vu+wrk zz s xa+x:93)gt;kd35is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masn9x;txhp;nq3 k t* in9ses is F. If the masses are moved to half of their initial distance, what intp;xt3 n 9xn*kh;9qis the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance fit x(.7phkpi:y6kl.brom the Earth will the gravitational forces due to the Sun and the Earth cancelby7kp k l.ix(hp.ti 6:?
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 loo9 ,cf02wn-iw 8yqxis $7.4 \times 10^{22} \; kg$ 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 "th8d 2zq 1n5hospace-walk" at a distance above the Earth equal to the radius of the Earth. What is her acceleration due to grav hthq 2z1dno58ity?

  The radius of the Earth is R. At what distance above the E2vb(qum* 8yfcarth's surface will the acceleration of gravity myc*q v(8f2bube $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance 2 :mi+e-qxjq8j39q 3cgztlh9ieu8 k9bju/ar above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleratj+cl 8zj8:/kjhgimeq3e9 ub2 xq i-3qt 9u 9arion of gravity on the surface of Mars, is

  At a distance of 14000 km from someew f(95uo )ajj planet's center, the acceleration of gravity j)5ue(aw9 f ojis $32 \; m/s^2$. 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 4) cvp/itsc4jradius r. If the object is raise4cj pv4sitc/ )d to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person cha :dcg 5yl1.is 4c9osrvpd)ql;nge when he goes from sea level to 5o:sl cdy1r.)qd4pv i;9slgcan 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 3r aw tias86/mt1o q-v i(qbove the Eart 1t/6tiioqqa(w8vs-m h's surface. What is the satellite's weight?

  A spherically symmetric planet ha fn36u7 je 7jv61fpbegs four times the Earth's mass and twice its radius. b67efjg 36n1 7pjefv uIf a jar of 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 Moo+f06m: y crabvlz+o4on, Earth, and Sun all lie on the same line, with the Earth between the Moon and z+ fvo4r yab+mclo6:0 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 Moon. 8wzw s2saj7g7(wr yu;
(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 (, nc0w2 i /0+xqp5)uhs :b yrpn+dlcgai.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean:xuy g5ic0)n2hs0rc+a pw dpl,b/qn+ radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit 6t08 jambb.r;efgi +judc +4tabout the Earth (i.e., it just skims the surface of th8emtgja0.bfitcb4j d +u6r+ ;e Earth). How long does it take to make one revolution 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. It is ojtkjp. ix/ 38ebserved to have a period .e3ptx 8j/k ijof 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 ohll6adn4 /+i wcc x+f5f $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon ofx c; g z jswwjj,bh6-32r.nci9 Jupiter 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 circular orbits. Moon A has orbi88p no9a-o nk0tpcv s0tal radius r, and moon B has orbital radius 4r. M 8nank- pp8vos 90tc0ooon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isu7hkw r bjq(e) lsm)pvf,k:n6 vw.29z $7.78 \times 10^{11} \; m$ 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 tf+g:/kcg nw/s1ysly;1, ff blo orbit the Sun once. What is the average distance from Jupiter to tlgsfc w/fb1sfy 1glyn, +/;k:he Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)