Is it possible for an object moving2a day1 : tyj01kpixp* with a constant speed to accelerate? Explainpt* 0xpkj:1a yd1ia2y.

  Consider a particle moving with constant speed sufet- d5vv /p2q(hn.u bch that its acceleration of constant fv .-epth bdq2u5n(/ vmagnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the direction omcjitfklu)2 g dn88:/f the obj8dm/n 8cl ikutf)g:j2ect's velocity and acceleration vectors.

  When an object experiences uniform circu 9u)nc.- 0(vfif,vg6 fau 4n8m4emqd9f hwids lar motion, the direction of the accelerad 6c4ndevi,(g4)f-9m.muwf ah0s qf n8f9 vui tion is

  Consider a particle moving with constant spfrlhh:eke+ 4r.3:f qkx .yw0d eed such that its acceleration of constant magnitude :k.hhlwfd e .f3e:xq 0r+r4 ykis always perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed in a c 9ufogg6/l ;q.pz cl2vircular path experi9g ;/q2zcl.opug6 vlfence?

  What force is needed to zeygy,/ zb81 a+ sykj3make an object move in a circle?

  When an object experiences uniform circular motion, the directionyvs64; b /nddn of the net force iss6n4 v;d/ydb n

  A roller coaster car is on a track that forms a cir-+ x ur34;y;lwgikf rjcular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minim;3l-g 4;rk rfjix+wyuum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) ix)l-likz0ox- s on a track that forms a circular loop (radius = r)xo li-- k)x0zl 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 value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circya ;hvo 2pe9*tular arc until it is going str;oy 2v9eph *taaight 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 radius nkw72k1om d6htd*izd-u5c .y$r$ 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 constan tl j)u2lqu.7it speed v. Then it goes around the same curve at half of the oi7uj q )lut2.lriginal 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 vl1rwhq,la) 6q:9t enb. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second curve, compared to the firstqtn1: warhel ,96qbl) ?

  A car of mass m goes around a banked curve of radi n5 c*l,rwahomxd,( )sus r with speed v. If the road is frictionless due to ice, the car can still negotiate wl n c*h x(a),odr5s,mthe curve if the horizontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves)7y/ yh zkvhc1 on a bobsled run are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smalzhk1y7 h/)cyv ler radius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olyu ha ho+;:)3vnmh1hdd mpic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the +amod:v d 1h3h)hnuh;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 both cenyo+y :s+j 17cmw;qfxntripetal annojf;y1 xs: qwym 7+c+d tangential acceleration?

  The gravitational force between two ovq*pm/ euzm-8 6v8en qbjects is proportional to

  The gravitational force between two objects is inversely proportionalx37wjr/d bfe /a1hc5 l to

  Two objects attract each other gravitationally. If the distance b(kse(-syttpp+st a ; 0mno ,k.etween their centers is cut in half, the gramo((y k;ate,0sspp .s ntk +t-vitational force

  Two objects, with mas oxqifm 334bs(ses $m_{1}$ 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 mas k,pw / 6idzu4if za(ughk2x7 ;kin.s)ses $m_{1}$ 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 gnara l by 5kk6,9 pffd8r,)/dfravitation.

  Compared to its mass on the Earth, the mass of an object o-oh *o(c pb-/afq8ojrn the Moon is

  The acceleration of gravity on the Moon is one-s s nd 1utg9m;w*qanz+7ixth what it is on Earth. An object ofm7tzsdwq 9*n 1nu ;ag+ mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Eark p:uarg4p3nl-kc ,3aq j:d/u th's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull of Ea.ou8a e2q se .ert 9y :*krfp4q-9tawprth's grapafqaoey9t.2e8r p.qs w-9er*4 utk :vity?

  Suppose a satellite were orbiting the Earth just above the surface. W5td s79 ed8ur u i;3u1zpdcrq:hat is its centripetal accelerup8 :3ue is;d9tdzq571u crdration?

  A hypothetical planet has a mass of half that of the Earth and a radius of twicehom47luhr f )4 that of the Earth. What is the acceleratioluh4 rh) o4m7fn 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 Earti5n o k/m xy*+)g/hmnw tup1g9ft06 qyh. The radius of the Moon is one-fourth*)ggioy/mt6ny0h9q xk t1 umfn+w/ 5p that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but pl2)8pzzyjh z.f anet B has twice the radius of planet A. If planet A has mass m, what is the mass of planet B?2) 8yzhjf p.zz

  Two planets have the same surfapg,n02hsde0w7g* nown/c5 ;irw vs(8u8 otpvce gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius o u8gtnv wo c*sgd8h0 7n5is ,/pwvonwr02e(p;f planet B?

  Consider a small satellite ab1uzca. cqbqm0* wv2 t-3vk)moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbital v wz 3.k a 01vmv*qbau)qtcc-b2elocity?

  Satellite A has twice the mass of satellite B, and )y0j9e ta*7.k 5tj nv-eruau qrotates in the same orbit. Compare thku ynj0a597.t *-a t erjeqv)ue two satellite's speeds.

  A person is standing on a scale in an (0x)5q*l lk7pbybhsy s)x.( hfo l 0l2s, ijpielevator accelerating downward. Compare the reading on the scale to the person,bp 7pljs.lq y5hs*)l 0)oi(ibyfk( h20xsl x's true weight.

  Who was the first person t fx pt*jjq2j, b/mfj,2o realize that the planets move in elliptical paths around t2t*fjf2jpqjb jm,/x, he Sun?

  The speed of Halley's Comet, 1m i6rwqp : w 3;y8n0apa n8fd6quk5gowhile traveling in its elliptical orbit around the Sun,nu16k a8gif;pyw:wmp83 oq ar60q d5 n

  Let the average orbital radius of2h*lx/ 5q.4slk mngsl a planet be R. Let the orbital period be T. What quantity is constant ml/sq2l sn.klg*x45 h for all planets orbiting the Sun?

  A planet is discovered to orbit around aonqoyn 3727corl /*brj7ng3e(nc; ez: mk8oz 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, compn7eko/7qc 7zej2n:(bro3z cno8y* r;n o l3 gmared to the Earth's orbital period?

  The average distance from the Earth to the Sun+klyjro .9e1x )azv( gq qn9s2 is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a yej91gvq9+( exz. 2 q)sr yoklanar. What is the asteroid's average distance from the Sun?

State Kepler's laws.id77xhg (es(,v pdo.8oizv)y

  List the four fundamental 2 45pvpsyat+zforces in nature.

  An object moves with a constant speed of 30 m/s on a circular tra h7qx+d5 kwn-rwk9)dzck of radius 150 m. What is the accelerazkd)xq kh -5nd9 ww7r+tion of the object?

  The maximum speed around a level curl.ubuo)0z e x9g h.g.3tntm,s ve is 30.0 km/h. What is the maximum speed around a curve with tw9) gu.zlbu,m0t..tshxe3og nice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a biy/;/0 l7jgj utgkz. i 5wlpn oe:b(gt28aq6wscycle wheel of diameter 70 cm when the6z:/wglsek/b u(.2 p tngajgiy l; o0wjq5t87 bike is moving 8.0 m/s?

  A point on a wheel rot71r1ks9z dvfs5mx g2h ating at 5.00 rev/s is located 0.200 m from the axis. What is the centripets79f 2dkxmhg51z1sv ral acceleration?

  How many revolutions per minute must a circular, rotat9 n9tp0nahb8ting space station of radius 1000 m ro 9 09tnpt8bhantate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a masz+6 ngi xk,e(os of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centi(g zk6+xen, oripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whirls (y+.sb;w onfed in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximum speed of t sows.;+n ybf(he mass if the string is not to break?

  A stone, of mass m, i9m :.rmk b,l5z(9 vdis svx7pjs attached to a strong string and whirled in a vertical cirm(dxv57v s sbimk .zj99r,lp:cle of radius 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 vertical de,nk( tri8nsn+ a/w/circle of radius r. At the exact bottom of the path the tension in the string is 3 tim+(, r/s8a/iknn ndwetes the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s ex omjk/v ed1h(:periences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the p me :hk1/(jvdolane is flying?

  A pilot makes an outside vertical loop (in which the centn a. 0x5wv -ln/eriu3rer of the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on lnv.a ri/50ewr n3u-xhis 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 weigm1 0mb;f,y +hg*/ ex6vl osbdyht. What is the minimum radius of curvature that a j s+mhm y/0 lgyxf,bevbo6;*d1et 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 jgdoe 4t.j(pkp2 *n: xthe tires on the verge 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 ktegn.4pdx:j*o (j2p and each road surface.)

  A car is negotiating a flat curve of radius 50 m yh7zus8hvdwx teok:o+ 2.t/2with a speed of 20 m/s. The centripeovx+/ttz s8k o7w:u eh.2hy2d tal 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 raqa12tlybntg om-o6-+27w s4 p gkw 1cvdius 50 m at a speed of 14 m/s. What must be the minipvcag1yntt kws4+o-lwg 761 b2m oq- 2mum coefficient 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 ax2)qd1d bk1c v level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum rax dk1 vd1b)c2qdius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympiklbvogu00l(- :9wosm z)ens :c bobsled to negotiate a 100-m radius turn at 35 m/s withouev)g0m :sw 0nul-o9zslk ( b:ot skidding? (Ignore friction.)

  A horizontal curve on a bobsled run iow:uome9/n y( s 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,cm/7 - haetp4k0q ksr8 banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked a374o2snyicn hy7o *l-,i isxht $45^{\circ}$. 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 revoe4or+ zfl:v(yij0i( o zo,h3hlving uniformly in a horizontal circlh (o(4r 0o3:ejzilovy f,hiz +e 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 accelerates at a uniform rate tnybf 2e.q 88oeshf8.g o a speed of 45 m/s in 15 s, moving on geoh.8 nyseq bf88f2. 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 ofmhh s:pbs u)9s-;-rl m 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 gravitatit53./qgv l zqo7 t*qxyonal force on a 70-kg person standing on the Earth, due to thetvo 7xgy qz3/*qq.5 lt Moon? The mass of 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 the masso( sc0c:0 r6+hct kbtmdlg e0*es are moved to half of their initial distance, what is the gravitational attractivdcsc0 r*g: c okt+m0e(t6b0lh e force?

  For a spacecraft going fra4qv7:d (q-jkn pl5 q;b/xtlf om the Earth toward the Sun, at what distance from the Earth will th( p;q/f b:dkqla4x 7-n l5tjvqe 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 Moondq ( usgcb:tkyp pu4c;jje- j50 /67ax 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-wa*j-w:m.vbglo * tkpt o bf-o8+lk" at a distance above the Earth equal to the radius of the Earth. t*of v:bl+ *mo8 oj--wk g.ptbWhat is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above th)5hk-0t( dpetw84 li+gqvd yde Earth's surface will the acwqdtdtkp5(d-ely4 g)h 0 v+i8celeration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above itsacx e*);zg/gf6j+o i ,n)tb ey surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared t )b;+)* ay/,if gxzjc eg6noeto the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleration of grav*:nqej.1yx dlity1 xjlny.e: q*d is $32 \; m/s^2$. 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 cp: u8el2ju rky1l *4xEarth. The Earth has radius r. If the object is raised to ry1u*:cp8e x 4j2kllua 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 wheh v99, 2hcglomhr 7//nwpo8qen he goes from sea level to an altitude of 5000 m2wl ohcrh h,m/pg7n99eqv 8/ o? (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 above the E63fdhz 1xymj7cynv0v3z)- a j arth's surface. What isx y a1j6z-n)vhjzdvc3m yf70 3 the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass 19dlv*5mjvs.ym-bs pand twice its radius. If a jar of peanut butter weighs 12 N on the surface ovmp-syj15 9lb ds.vm*f the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Ear35 0fb0zcqw ,-d9v7qpjpuwws +wd*hh th, and Sun all lie on the same line, with tj s,d f 0w5v0wdw q73cpbq-*z+w9puhhhe Earth 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 transported to the Moon. )l8nb qc:x b6p
(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 th:pai i q7kx6g+e Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of th+aq67 xg :ikpie Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it just skims thesx)l58gbv is.84djc (v brb/d surface of the Ear)4 bsl/8 vdbr(i.xg cvd85sjbth). 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 s1tm3)r qb b sez57ybm6urface of the Earth. It is observe7 b5mq sb erzy3m6)b1td to have 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 an orbital q.xf qu ybgd0)8y40h7297p3p 3tch pmovafbrdiameter 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 pl2b0g de bk bw(p6f6t*aanet 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 ed/ho9kc: qit mz6:w2os*yd;has orbital radius r, and moon B has orbital radius 4r. Mod/zc *eyq d;k6w t o:2simoh9:on A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is +3+ 6xett 7a nqjqr.uw$7.78 \times 10^{11} \; m$ 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 t*61/r5x ipn vw-yw e0ju2 qxz6cowg) jo orbit the Sun once. What is the average distance from Jupiter to the Sun? (Te6uc5)z-2x /qr1gv px 06*w jy owinjwhe distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)