Is it possible for an obwb-kbqw .e wf9b .av4,ject moving with a constant speed to accelerate? Explainb9fvb4w - kab.wqwe,..

  Consider a particle moving with constant speed such that its acceleration of co qw6j5r , s606mc( mfyg73xbso* ztbke. qex7xnstant magnitude g6kxe6b0z3(x sq7 jx75y bot6qfesr mc.w*, mis always perpendicular to its velocity.

  An object moves in a circular bi +gxmfn v67e3i8i)epath at a constant speed. Compare the direction of the object's velocgv6xn mef3i)b8 +i7eiity and acceleration vectors.

  When an object experiences uniform circular motion, the direction of the acce1-kxkujy9pf2 leratio k9ypxf2-uj1 kn is

  Consider a particle moving w1nsm(o ;c ti6p/hgp+jp7j1 lns8 q0hwith constant speed such that its acceleration of constant magnitude isw (71 tqpmpnh +ojgh81 /l;6j0iscsp n always perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed7 dw s45xt jxjl7n a oq-u0g(0xiclc/7 in a circular path experc/ j0no wu ts7xlig axc0ld77q-j( 45xience?

  What force is needed to make an.jk-s9ps+-n. h gey6 g+c-ax2t beafz object move in a circle?

  When an object experiences uniform circular motion, the directiy8oiuy l211.y 7jz fvqon of the net force 2uy yo.q7fz81 lyi1vj is

  A roller coaster car is on a -gqp-)7oz df; q0waxz track that forms a circular loop in the vertical plane. If the car is to -pgz ; wx-oa)zq7dfq0just maintain 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 f7mfrp- (wv99gj055 z g:lp2ot gvsj vforms 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 value fo02vz 9p r: f5mof (jsv jlwpg-7g5tv9gr its speed at that point?

  A pilot executes a vertical dive then follows a semi-circu6so *y3xhl-bqgzrb ox3g7 26hlar arc until it is gorq z -b3*h3xol2y 766b gosghxing straight 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 curvvtmshv, z si1uhyx34d,i2, y4e 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 it goes aro0ori r4x/tbwd kv qn:m;16m+m und 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, compared to the firmko:mit0/ 6n4bm w+r vr1qdx;st time?

  A car goes around a curve of radius r at a constant speed v. Then ityzl(d+ob w yx 2x6i:u) 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, coo:(di buzy)6wly xx+2mpared to the first?

  A car of mass m goes around a banked curvm( 5zr 4ldwf0he of radius r with speed v. If the road is frictionless due to ice, the car can f0dr(h54zwml still negotiate the curve if the horizontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves ;:fcl 1/( 2wc:rd zerfcwaym4 on a bobsled run are banked at the same angle, but one has twice the radius of the other. The saeycd 2::4 rm;zl cf/(rwcfa1wfe 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 tzwx0q/+ m m iwj2wlr);rack is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentim /zr ;wl 0)wqx2+jmwionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving aro::a*o7m ;m3aul t ogjxund a circular path to have both centripetal and tangential acceleratiomt ml aj 3:*7o;gxa:uon?

  The gravitational force between two objects is proportional to p2uoy 45yyuqpv odh+r27bm04g q.1x d

  The gravitational force between two objects is inverew- an1+3w4ggrf:f lgsely proportional to

  Two objects attract each other gravitationally. If the distance between oe- xctyt 57,wdb8ijr0kdo;6their centers is cut d6o;7b-o c5i,0j wk8etytxd r in half, the gravitational force

  Two objects, with masses(g,kh33j1 uvxfl oe7f $m_{1}$ 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 e w+;;,nuh(po vi4iisses $m_{1}$ 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 gre6 eunv,+.p yyavitation.

  Compared to its mass on the qaomo-8 *be.b3b1y b uEarth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one no8qln+w1z,s -sixth what it is on Earth. An obje,oz+sn8l1 w nqct of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, abmfiyyz+*)cvu7vi :1 6j/ uwthe rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pulxi//x/n;s8tnhyq e)cl of Ear)h x/s8 ;enyqt/ i/nxcth's gravity?

  Suppose a satellite were orbiting the Evt-4pmj0llu d :pd0zsepw) 1b.yl. )n arth just above the surface. What is itsppj1zsw:bnlp4)d. ld.y0u-le) t0vm centripetal acceleration?

  A hypothetical planet has a mass of half that of the Eayix4ixm3)l; .b fr iq,rth and a radius of twice that of the Earth. What is the acceleration 43) i.i xbrliq;y ,mxfdue 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 isf l .-a75oyvxeqv(8m(k4rj mb on Earth. The radius of the Moon is one-fourth that of the Earth. Wha5k8( .ye7am4fbv o( xvj-mlqr t is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, pdl ca (1vpmc:o76q7h but planet B has twice the radius of planet A. If planet 77h6:popc1 vmc( ld qaA has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B hhr q)v pap +lk/ol(5m6n.t,jlas twice the mass of planet A. If planet molp6kvla /r+lj (5h,nt. )pq A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about 3mxh a qe nm8*p+-;.a+vd pmmha spherical planet (mass M). Which expression gives this satellite's orbital velocip;e mhd+*+q8.nmhv mm3 -paxaty?

  Satellite A has twice the lsz*1 voy76b ;s u9ogpmass of satellite B, and rotates in the same orbit. Compare the two satellite's sp;zoysl ug6*7sb o91vpeeds.

  A person is standing on a scalp8xz na d2/7 efi*zvl d(*h7nke in an elevator accelerating downward. Compare the reading on thd*na/(f 8izlk7d ep n7 2x*zvhe scale to the person's true weight.

  Who was the first person to realize that c3a tn jh:x)s)the planets move in elliptical paths arount3s jhx)a: n)cd the Sun?

  The speed of Halley's Comet, while traveling 8- bfh: f:o2ayezgzl,y1va ))+wd mc uin its elliptical orbit around the Sundm,)fgzub:ea )fhc+v 8 :oyaw y2 -l1z,

  Let the average orbital rtr;fv n(( a:cyadius of a planet be R. Let the orbital period be T. What quanti:yf(cvna;t (r ty is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around /fr8kl ((sa msa star in the galaxy Andromeda, with the same /(sa8 (kfmlrsorbital 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 the Earth's orbital period?

  The average distance from the Earth to the Su wzn1b 42y)i zdelalg6ujs-v)gv/ 1azi1- a0gn is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance fue02 j sgv l) 1vald1)a gzzign-4bw/-ia61zyrom the Sun?

State Kepler's laws.d.c h kbl:5liu8v,( qphh*;pj

  List the four fundamental forces in natureb+ mlrxq. .bi) rhxz,3 rvs)h1ae-b9b.

  An object moves with a constant*vnp;x1 cge)nc8i3ssr5 h e 5s speed of 30 m/s on a circular track of radius 150 m. What i3;ecegr 5hs15 s psnnx)8vc* is the acceleration of the object?

  The maximum speed around a level curve is 30.0 krh1j8 qwufh4ot bb)cx0 zs8792at5tam/h. What is the maximum speed around a curve with twice the 0 ut8c t47 fw1ht5bahj )osa9xq 8rbz2radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bicycly/bih7w / 8lvbe wheel of diameter 70 cm 7w/iyl b8/hvbwhen the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.20,wyq/s9;mdt fr) 2m xu rq ds)6iul65c0 m from the axis. What is the centripetal accele9dmumcu x /;q6li6)5y rfw ,r2ds)stqration?

  How many revolutionsns6tc.x4 9 i x5lg, )tagoez t*i1f,2*wwzjkh per minute must a circular, rotating space station of radius 1000 m ro*t zgh)x,t c fl9*zj,n1x itws2 ao64 iwe.5gktate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It gokjlbj 6s oe3p9hh,.w 1es around a 13.7 m radius turn at 96.5 km/h. What is the ce1o. 39bjjwkpehhls ,6ntripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The systehwv*q6vj0x a42i .rfum is whirled in a horizontal circular path. If the maximum tension that the string c ji4vxh*v rqf0u2a.w6 an withstand 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 strong strin y6jj 3p+plohpf5qtl j+i9)r8g and whirled in a vertical circle of radius r. At th+j9prq tp j fl)l6hj+oi835 ype 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 whrhzn4)kz xy43 irled in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times the stone's 44zz)k xnry3hweight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an accelv-z3n b /5wd;yvm6x pperation of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane in 6y5b;xm- vpd wpz3v/s flying?

  A pilot makes an outside vertical loop (in which tzk9f:)zzl m a8he center of the loop 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. How fast islmfz:)89z kaz he going?

  The maximum force a pilot can stand is abou(hop8 tyj) b/kgy1 z2yt seven times his weight. What is the minimum radius of curvature that a jet8t1o(/j pby)z2hy ykg 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 radiu420nadf 8ox 88 wcykirs horizontal curve with the tires on the verge of slipping. How fast can this car round a second curve of radiu0 yw xdfaki8 2r84n8cos 320 m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flzc5 c( f(ag/du0/ioufat curve of radius 50 m with a speed of 20 m/s. The centripetal force provided by frictionu0oaug dczf (i5c/ /(f is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a fla. cmyensprr67viu4 .-t curve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car 7r su. m.iprvy4nce-6 to make the turn?

  A car is moving with a constant speed v around a level curve. The c+kooorc j(d 7e w57xh3oefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve ifdh7eo oc w+ 7j5(3rkxo the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to zs,gur1cu*u;muvd(0 negotiate a 100-m radius turn*g rumu zus( u;1,0cdv at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run r9/hq18 *j)l enq0d rb1cuxxbis 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;s.ioyu 2*uu c m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m*0iiizk pm* dg;8+mqj 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 revolvin )bbt4l4lthj5( fdpeuz*.*wa g uniformly in a horizontal circle of r *z. hw4uptdlb*j4feba (5t)ladius 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 are cg4 7hg2jm c4h8d7ktta, a race car accelerates at a uniform rate to a s7ghtcj k248tc74gh mdpeed of 45 m/s in 15 s, 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 consistskyae4 04)al(a 0,0qnuiioe dj of 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 gravitatio7k u22 m9fcc e/4bcdhknal force on a 70-kg person standing on the Earth, due to the Moon? The mass of 42/ 7 2cbdkfk9humecc 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 ju8x36p ,1dd sof(bru.b 2pzo F. If the masses are moved to half of their initial distance, w udru1.bbf(p pz,oo 82s6 xjd3hat is the gravitational attractive force?

  For a spacecraft going from the Earth towr)7v5e6 v7b ;t)kuleg cuz(isard the Sun, at what distance from the Earth will the grv(lsebk5 u z6uv7) ig)e ;t7cravitational 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 itia5: d/xi v.(/s5vm2u mxot rs $7.4 \times 10^{22} \; kg$ 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 ab48jo nhn* 11 zhq.idebove the Earth equal to the radius of the Earth. Whb 11ho 84dh*.ei qnjnzat is her acceleration due to gravity?

  The radius of the Ea 2g-bpvt)j).hob 0fokfl ** vkrth is R. At what distance above the Earth's surface will the acceleration of lg khotk.b-))vop 2*0vfj *bf gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 o 3(2yo0b*tudaa.9po2 ca pmmtimes the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, 3y b.( pu2d0oaaac9tpm*2 omois

  At a distance of 14000 km from some planet's center, the q3zy pv9a6stni7fb. 0:hx1 ueacceleration of gravity x7b9qu6. f3he0tp: ia1syz vnis $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 aeko;+ ej:bv d:vio 0-N on the surface of the Earth. The Earth has radius r. If the obj:ko :a+bj-veved;i0o ect 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-kg0 4t(o) rhsc;y j;b1ro)w8txpr+ c sif person change when he goes from sea level to an altitude of 5000 (s1 0ijrtcbp;hyxrr)8oto)f+ sw; 4cm? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 1 vs/ k+oa5es8eg r8lk2pmagu 9y60;hq00 kg is at a point 3r above the Earth's surface. What is the satell oyvm;pek8sk /s8e ga6+ r9ha5 0uglq2ite's weight?

  A spherically symmetric planet has four times the Earth'sroa 0yyf m))3.cg m8vt :zsaqfz2k-6y mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much wou:8z zrkasac)-ym 3ff yv.t6 q)0mo2gy ld it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, anw. r tlb7pt,x)y5t aen9ut:h cy(qd4*d Sun all lie on the same line, with the Earth between the Moon and the Sun. Theqldau)yt t47hwp(tn,* breyx c95 t :. 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 ijimnf7;y v/.xs transported 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 ci. zasg52 x.h h(;h,ve)w zjmvbrcular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of the E5z),hvhs..mj; h( abzvx2 eg warth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the4fq4nr:bgt.vc m2q 1 g/i sv,j Earth (i.e., it just skims the surface of the.jtrgns,qfvmgq4bv2:41 / ic 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 23gmiu (752q7 za+otv r37eqemg0 km above the surface of the Earth. It is observed to have a period of 89 min. Waqr737g2gt o zm( e +m5ue7viqhat 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 diamei01uw asmb )39dkt04x1syuv qter 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 orbitsx kvxm .1c,wf4 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 orb1;z y/y)f wsi b ik; plh5mx5notda896ital radius r, and moons;wa 6tky81ndo)5 yb;fhp 59 z xili/m B has 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 is 4lsr( /nbqy2a $7.78 \times 10^{11} \; m$ 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 yepz/pyrld-:m k6t v3ngxfn-7ods /: v9ars to orbit the Sun once. What is the average distance from 3d/szn-lr6v: pn /m:kdpo7gt9 vxf y- Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)