Is it possible for an object moving with a constant speed tou95 e6sqx1ctrx+r8 o ffbtqzx(77+ jp accelerate? Explainx7 tzxqxp1 (rquoftsce 5+jb+f6r9 78.

  Consider a particle moving with constant speed such that itsx 1yim v0fl 1l./ghl3i acceleration of constant magnitude is always perpend1yg lfim/3hv.xl 0l i1icular to its velocity.

  An object moves in a circular path at a constan4 q yu39hgn du9yy1nm1t speed. Compare the direction of the obnm 94yu1n yu93hyq1 gdject's velocity and acceleration vectors.

  When an object experiences uniform circular motion, the direj/bb1f-l : 5 gvuue-ppction of the acceleration p-pvejb 15 :/-flgu buis

  Consider a particle moving witg myu386-cbie h constant speed such that its acceleration of constant magnitude is always perpendicular to its viy8ugb-6c 3e melocity.

  What type of acceleration does an object moving with constant sp8pvtdwr;l9 * /cda.zweed in a circular pl dv8pat9cd. r;wzw/* ath experience?

  What force is needed to make an obje4(bcvcg +zzfw r4/y0act move in a circle?

  When an object experi.7j sv 7v4qe xfy ox70n3/gvqdences uniform circular motion, the direction of the net forxdq /.4 vvjy0 ox7se73gvfq7nce is

  A roller coaster car is on a track that forms a circular loop in the qy9nc.0x+w jja:.zspvertical plane. If the car is to just jnj0yw+q c.z:psa 9 .xmaintain 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) is on a track that forms a circular loopj2j(s )p0hfbc (radius = r) in the vertical plane. If the car is to just mainta)hbpc(jjfs 2 0in 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 then follows a semirs0.g u c:rm/8z+wtv p-circular arc until it is going straight up. Just as zgtu s+:w0cvr.pr8m/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 rt9/a)9 0 xf. 3vc waoi xc2if5uuy4xxpadius $r$ 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 vk mhq;5jbdp) 3. Then 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 curve for the second time, c5)bhk3 mj ;pqdompared to the first time?

  A car goes around a curve of radiu6.mwj5gl i.h7u3irzsd2 k.lz s r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal forcii5zrlk.mh3 wusd lgj 7 6.z2.e on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around0l4go .s /(rg3dpm- b-bvwrxf a banked 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 of the normal force on the ca-m/srvb3f gx r 4.-gwp(ob0ldr from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same anglecc8 swk0i bq,j73hpe(*cqy9iox (4 ym , 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 jw( y3cibm4ek987q ,qi cph0 sc(xy *othe safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is not constant, butrad; bk/m8e o. increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower comd8bok /ra; m.eing out of the turn. Why do they do this?

  Is it possible for an object movx *bsld2 cw :rwz1;kuv8 *xdo4sdb(x, ing around a circular path to have both centripetal and tangential2w oruczvbwb,d(s* *4skx:;x 8xdld1 acceleration?

  The gravitational force between two objects is pro b qhc.l2 h+bmm*gf;:mportional to

  The gravitational force between two objemr2rxs63 pss-z ):ibj cts is inversely proportional to

  Two objects attract each other gravitationally. If the distance between wz(j ; cbb1x2ztheir cjx;z2bz1cbw (enters is cut in half, the gravitational force

  Two objects, with mass rks.48 gapvh(es $m_{1}$ 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 mam a8y2r9n qcln7x 25ldsses $m_{1}$ 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 univers *7q2dg6oscnjal gravitation.

  Compared to its mass ia c gnvr..;dn-kp2 21wsmwka/ w3 y:aon the Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon b6(ozb ;skj:6 0oong:r cj3zais one-sixth what it is on Earth. An object of m z s360jgojz o;nbrok::6a(bc ass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfacey1,1j*fo eu 5scyxg-e, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyr0x0v8+kox5r9 xd5stvvfcw)i* i1yg ond the pull of Earosxx 8 tvdry1 i 5gv*i 05x)f0vc9rk+wth's gravity?

  Suppose a satellite werq54hmqe ptt+:xy2h - ne orbiting the Earth just above the surface. What is its cehqhx:e-ytn5p+ m4 t2 qntripetal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius of twice;.t( *t944 kkbzk1an wsfbji q that of thiz kab9 (bnftqsw*1 tj44; kk.e 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.oo,cq(6wz 4j98eldn35 x yaf (*qhadl The raddfe j8*(c adqy,xlno3 ( aowzh495q6lius of the 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 piq/ e 7rfuh:6ulanet B has twice the radius of planet A. If planet A has mass m, what is the mi /fh:qeu76 urass of planet B?

  Two planets have the same surface gravity, but planet B has twice the mgd) gw07 e-o8 zb,x1 yzlyq-ddass of planet A. If planet A has radg)yzx -87wgq1 ed-lzdy0obd,ius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbkfo bhu1f svwmg nc8 58ff-jw35pq /7:it (radius r) about a spherical planet (masss/:c5ob75 f g3h1 8wqu-f jwvp8fknfm M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, an)-s 5 cf3zg+zbsf /4 uuw8qncpl:hi6 nd rotates in the same orbit. Compare the two satellite's z8lzfc+/ piq6 )g345nun-c bhs su:fw speeds.

  A person is standing on a scale in an elevator accelerating downward. Comparke j:jwi p(h 46nb;4nve the reading on the scale to the person's true weight.(h6:jve nwji p44n b;k

  Who was the first person to realize that the planets movecg(iv-x3cmh,ec8 l 1ie )ukc c) -13adwkf1jp in elliptical paths around thi cawlecj,e xi1 hk d(8cm 1-c1)g)v k3-pcuf3e Sun?

  The speed of Halley's Comet, while traveling in i2ygn8z5dph z/ p 6:qmdts elliptical orbit around the Sun,dzpm/z y:6p8n g52qhd

  Let the average orbital radius of a planet be R. Lety: q 1/8lust6jsc-kwf2 wo7 ns the orbital period be T. What quantity is constant for alsjks/8:w q2c ly-6 uosn 1wf7tl planets orbiting the Sun?

  A planet is discovered to orbit around a star in the f)-kc12fi/ ch jvc- il/ps3 cnna(+uime/(gogalaxy Andromeda, with the same orbital diame knlipf)+-/3eg/vu( s2ainifcc1 o -/jmc ch(ter 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 do p z gtu/,6rh3+u18cet.omvh efined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-thi,1 +/ooz.83vugtthpre hm6cu rd of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.gn0ajpt0t*fa vdn)+ (

  List the four fundamental d:l 0 qnk(45jsv*p tdruxl0;jforces in nature.

  An object moves with a constant speed of 30 m/s on a circular track of radimzyh: m.nt c 1ev5h;+fus 150 m. What i+fnz:;v 15ymh.eh tm cs the acceleration of the object?

  The maximum speed around a levi(x. tlb9fz8 oel curve is 30.0 km/h. What is the maximum speed around a curve with twice the ra8iz9 x.lfo( tbdius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a ;dt4i5u+ib jx vm+ga 0point on the perimeter of a bicycle wheel of diameter 70 cm when the bike isbm i5 + g4ivta+x;ud0j moving 8.0 m/s?

  A point on a wheel rotating a9m 8d8a. c. sir+/im, fdkzbwet 5.00 rev/s is located 0.200 m from the axis. What is the cent.+ rs i/fa 8iw.d,9bde8m zcmkripetal acceleration?

  How many revolutions per mr pd.bes) 0t)xinute must a circular, rotating space station of radius 1000 m rotate to produtrs0b epd) x.)ce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius t/ 2:v s.gxb f8ys. y5j8ejyxtmurn at 96.5 km/h. What is the centripetal force on.xxt:y2vm/g s8y8y5sejfbj . the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The syst f78.z y(zukrf+c1+whm+c d xqem 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 thecdxky+mc7 fu(r.+q +zw1h8 fz string is not to break?

  A stone, of mass m, is attached to a strong striw;a hr*m;r 9*uqcl4hr1 nt*( a1 qjubing 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 stoutl iqch1* a4u1*;;h(qwrm r bnr9aj*ne's speed at this point is given by

  A stone, of mass m, is attattw tt3;)hck oc/vky5871c yzk5ss4ached to a strong string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in t c5ytwt a7t)yv1hccz8k ;o5t 3/sks4khe 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 acceleration sdduf w79s2*f imt 69bof 4g when pulling out of the dive. What is ths 6dtmi99u7bwsf2* fde radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop is 0d-ixxh t.k+/qgwe, hr 5)auh beneath him) of radius 3200 m. At the tohiu r/ q-th.kewx ah, dg5x+0)p of his loop he is pushing down on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a piloeqvcxl1s.nta 2bq /*6 t 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 a nv2/b. xs16* qqeacltt a speed of 250 m/s?

  A car traveling 20 m/s rounds wvh mewu8qe s/ fr2* axv5p714an 80-m radius horizontal curve with the tires on the verge of slipping. How fast ca mrw ux a247qhvf1see v5w/*8pn 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 8jrjv ; bz.68h,z gycpflat curve of radius 50 m with a speed of 20 m/s. The centripetal force progjjz8y;,v 6c8bh.zrp vided 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 14 m/s. ;6te7 69sw zwb;m;bia b3 cbnb What must be the minimum coefficient of friction be 6w;69a 7m tzibs ;wcbb;bebn3tween the tires and the road for the car to make the turn?

  A car is moving with a constant speed v aro.fj;ubr4 9a3lq x xn.dund a level curve. The coefficient of friction between the tires bxf .;dxu3 n4lrj 9q.aand 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 zwbl 1c k i g3w6u.*qarebw)9(required for an Olympic bobsled to negotiate a 100-m radius turn w 3.iz9e wg*w(q1lb)kru abc6at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled rl.7rf5 z hf+9aa b.fnvun 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 angd*8d g(sk(j9 kkw+8i0b r naekle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bagicul9 /z+m p8nked 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 rev, 6l5co,kud yqmy)on 6sr8df* olving uniformly in a horizontal circle of radius 0fd m*l6 8yo,o6rnudq)y ,c k5s.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 uniform j -h2:uv w318tmcpy xsrate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only f jh 3wct: u1s8y2-vpxmill 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 mas7i;lv kn+1w(mwka k. kn+h/sss $1.67 \times 10^{-27} \; kg$ 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 af*06 iyym* ,0hv:dzvpa f(bck 70-kg person standing on the Earth, due to the Moon? The mass of the Mo* vap0(zm*vhdcfk6fy y0 i:, bon is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractih+tuq tq0 6mkj. mld8w2i:tr5ve force between two masses is F. If the masses are moved to half of their initial distance, w tkl:rh.diq6 50 q+mtjw82 muthat is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Suoqwlm8ca ( 0o /1h. eu.5zbp dmo/b1 qax+l,lkn, at what distance from the Earth will the gravitational force.hk.xo o l8,0qb qz1w ad / lpm+1boculem/5(as 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 r5p48t cdfy(a 6fsga; 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 "space-walk" at a distance abk3uf ni i4io5c58lr)f ove the Earth equal to the radius of the Earth. What is her acceleration due to gravityiil3f4cuon kfi8 r5)5?

  The radius of the Earth is R. At what distance above the Earth's surface will tdzxb*l6f 3)uzo47vb che a6b lvux4o z7)bfc3*zd cceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above iiw4t h+q8 w.x e,(lcedts surface equal to 3 times the radius of Mars. The acceleratixhti .8w, +ldw (ece4qon of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km iag3nft1n ,hn03gi , fe,dbz/a p;,zbfrom some planet's center, the acceleration of gravity isigifn/n3nf3 ,;1zhbd ,eatp0za ,b,g $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surfac 30y vvg14+l y:e:)l ltkrggdue of the Earth. The Earth has radius r. If thert1 y:)34 eggv0lvuk :dl+lyg object is raised 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 change whenvbnx.q b ,.f19js8zub he goes from sea level to an altitude of 1,8vb9ubbjsz qxf..n5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of maje :ei 1z1iq1plr*s6 xi6syf 0ss 100 kg is at a point 3r above the Earth's surface.z xs fji q1sr6yl0i1epe*1:i6 What is the satellite's weight?

  A spherically symmetric planet has four9 ) dlfj5wyjb3n3jwa vktp.9, times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of thtkpa 9j3wbvjd,.935 f jl w)nye 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 same line, with nbsi7p0a ;0l.dw 3q osthe Earth between p.7 sw;0aisl bnoqd03the 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 tr)o5.al )u qna4ugvs, bansported 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 6:f lxt b5xgt w4hsi++(i.e., it just skims the surface of the Earth). W +s :f4iwxtx+bt65lhg hat is the speed of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a zops 0) 3uw9dslow circular orbit about the Earth (i.e., it just skims the surface of zs pu9)w0 3sdothe 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 ci sh2ts1,1er5k: h fv+-ubuyivrcular orbit 230 km above the surface of the Earth. It is observed to yk:h5t-,vs1u 2ehs+v rf ubi1have a 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 an3;azqe 9ndv9gpn4*v bcfbp /mr /p/(9q8eki a 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 with a s:kfqhxhs+syc6,,-.5 o c:qdrobag /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 nearlya81cb. sa1wwxnc 72hs circular orbits. Moon A has orbital 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 aa ws1hna cs bw27c.81xn orbit?

  The planet Jupiter it0, rco 4fhn5vdj;f -bsaqh81s $7.78 \times 10^{11} \; m$ 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 orbit the Sun once. What is the a7xic , gxkb9u8(.blrvverage distance from Jupiter to the Sun? (The distance from the Earth to the Sun , vx(c rki.xul9gbb87is $1.5 \times 10^{11} \; m$.)