Is it possible for an object moving with a coh3 4zgw bf6c1qnstant speed to accelerate? Explainhwbfqc4 z613 g.

  Consider a particle moving with constant speed such that its acceleratia6p;kkn-5m vbj 0xl p-on of constant magnitude is always 5; p-jpk n6kaxm 0-lbvperpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the dirq2e 6sj(y/x/zppp ,ciection of the object'sp xzcyq/p(p s/26 ej,i velocity and acceleration vectors.

  When an object experiences uniform ctw8o8b /qfj*;z:ab1hx z6vpu ircular motion, the direction of the acceleration ia6b z pvxf8bjw:q8t1h*; / ouzs

  Consider a particle moving with constant speed such tha6w ;qka m2 /kqb,q;hskt its acceleration of constant magnitude is always perpe 6 ;;qq/k2khm,swkaqbndicular to its velocity.

  What type of acceleration does an object moving with constant speey qf d/-./cak 6*fettf ekhze99cr)u;d in a circular path experie/ af.)c ;qz9kue6fcrfdete h-/k9t y*nce?

  What force is needed to make an object fz+.wc5v( tidfqkuhr :*4clm).c 5xb move in a circle?

  When an object experiences uniform circular moxr we3 .c3p6qqtion, the direction of the net force xep rq3q. 3cw6is

  A roller coaster car is on2 o7ex8fgmbu k2 ta(w ly0(r6e a track that forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripetalxkb6e y g7f2lu r o0(met8w2a( acceleration at this point?

  A roller coaster car (mass n ptnl w -.eu)zp-aa7.(s nzn4= M) is on a track that forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the tra4zpsl(n7z. npn.atua w-- e)nck 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-circular arc until it +; edby.tpqz8 is going straight up. Just as the plane is at its lowest point,y+bt8zd.;e pq 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 o.j+h5gz(* hbpre 5fdv f 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 9 w2ef2aez .i8tno3a/j d.ie1utyih e m c1+:kv. Then it goes around the same curve at half of the original speed2j8afy:u9wi ndh z/ 3m1e . i.ktoiaeetc1 2+e. 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 o0p+h)2yfxpf 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 tpo )+ ffp0h2xyo the first?

  A car of mass m goes around a banke3 wr ek 14v6awgys(a8xd 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 o1rw x6vkasy 48w(gae3f 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 usf d j 2bk(q*i79t,1q b1mtresame angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller rab t1bj q 9skf,d(72mti*e1q urdius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in /xc 0ht xlg(a1a turn on the Olympic bobsled track is not constant, but incre1l(x/c hxg0t aases upward from the horizontal. Coming around a turn, the 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 objec i dayduc;0:d2t moving around a circular path to have both centripetal and ta0;ud idc:da 2yngential acceleration?

  The gravitational force between two objects is po2wb csok 6ms2..pha,a s 4mv/roportional to

  The gravitational force between two objects is inversely proportionac0pv0 bwk ge fl yki441k-4p4gl to

  Two objects attract each other gravitationally. Ifzw5 s i;et)ytny.zc.5 the distance between their centers is cut in half, th y)n5.s tz iyze.;5twce gravitational force

  Two objects, with maem7f gj s)rh+3o +qeo5sses $m_{1}$ 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 73 i:znc7g.dnml,ue u$m_{1}$ 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 gravitatv4s ;uf9jp)y9s +vhg i+oosz ;-a0option.

  Compared to its mass on the Earth, the mass of an objebvo3fy n6) ix e/1u 07 get,qbqhrvk48ct on the Moon is

  The acceleration of gravit/jew+pc yz8qt1 9u m6fy on the Moon is one-sixth what it is on Earth. An objecy6 t9ef+quw1m /zc8jpt 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 rocketcfp b*3: xvr,tyj2g (.gmhv;y's weight

  A spaceship is traveling to the Moon. At wha purq2e,e7a s.t point is it beyond the pull of Eaqs., 7a2eurp erth's gravity?

  Suppose a satellite were orbit(iyt3tun i4l8ing the Earth just above the surface. What is its ce il n3yiu(t4t8ntripetal acceleration?

  A hypothetical planet has a mass of half that of the Eart+ yc(cw+k2etvamh/nx0n2m l4 h and a radius of twice that of the Earth. What is thy ( 2 nn+a0mv4chk2ewxlcm/ t+e 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- c9;u 8qhqa,qa9z fgg2jpd+3gsixth what it is on Earth. The radius of the Moon is one-fourth that of the E93 h2qqp dqz a98g,;f+cgjga uarth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity zv95h eowavf4m+h; ,s, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of planet;h 4zfov s5 ,+veha9wm B?

  Two planets have the sa*4fjmv2h9 -nm i;ykr ars:a.yme surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radiusi2j yr fhsn4kar;my*-vm : 9.a of planet B?

  Consider a small satellit.jmhy521u zhyv j)sw+n-yjn; e moving in a circular orbit (radius r) about a spherical planet (mass M). Which expressi ;yyjvhjm-sw+ z u1.jn5nh2y)on gives this satellite's orbital velocity?

  Satellite A has twice the mass of-yz 7-(xouzon( qx;g c satellite B, and rotates in the same orbit. Co gxu(yc;q(z7-n-oo zx mpare the two satellite's speeds.

  A person is standing on a scale in an elevator accelerating downward. Compare t(o+j *wz zp3gxhe reading on the scalzpg3 *x+(jw zoe to the person's true weight.

  Who was the first person to realize that the planets move in elliptical pathsol ,*me m1:pbe around the S o, mb1:pele*mun?

  The speed of Halley's Comet, while traveli q5:m0 pi9pcgq:nhp7yng in its elliptical orbit around the Sunh:0cq 9pgipm7 5npyq:,

  Let the average orbital radius of a planet be R. Let the orbital period be T. s(9ny;)1 sa b4bpr bnsWhat qua;sb19sbr ( b)s pnn4yantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit(ji32f tem p8xe3*4 sbq zj,4uo7jv th around a 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, comp,pbux7e32(q 4 8j oesm*fjvz 4h3tt ijared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "a iim0iot.ftuv,5(.qustronomical unit" (AU). An asteroid orbits the Sun in one-tmvu0 t.fqi o 5(,.uiithird of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.a ueu7 p.z+dt7ygy8u) i8s4fr

  List the four fundamental 8giq e:t(5 8dgrwq3x naq d(h1forces in nature.

  An object moves with a constant speed of 30 m/s on 9zjqcotko)31hvm8+1j 7eu jyx 2yj5h a circular track of radius 150 m. What is +cj31hk2j5joez9)u8mq 1 y t yhjv7ox the acceleration of the object?

  The maximum speed around a level curve is 30.0a65/nx nw rbvlip323w/3rh yt km/h. What is the maximum speed around a curve with twice the radius? (Assume all other fay hww/ i33xl /a 2n65trpvrn3bctors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bicuozj,lb i j 2lk;uj7z;z*q-g0ycle wheq;j,k* jzu7b2uz g0zo- i jl;lel 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 0.20- 7idwz.dz2vo 0 m from the axis. What is the centrii-. 2zd zov7dwpetal acceleration?

  How many revolutions per minute must a circular, rotating s:(r7lr h) kxawpace station of radius 1000 m rotate to prodxr)w(r hk7 al:uce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. pksyv6+vlll(.l :+ag gq0 i6 xku94gh It goes around a 13.7 m radius turn at 96.5 km/h. liq(+ly+ gsgv p ga9k46vk60lulx:h. What is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whir *fl -jxpvb.5+3uiclq7db)ix led in a horizontal circular path. If the maximum teju)bcbli *f dx3+.v7q-lx i5pnsion that the string can 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 string and whirled in azd9ynyf 331scpl 9epvqv/3 y) vertical circle of radi3n9 p/vf3q y y e1d9v)pys3zlcus 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 wh)ml )3j+u-k9ayh0 aq2sbwb 67zxv ucmirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string 6m)wby)j9 l0 2x+ 7u-abkmuashqczv 3is 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 accelerisf6e,9s g8v)w(z k gpwh2x 4dation of 4g when pulling out of the dive. What is the radius of curvature of t vgw kp6fie8)9wx,(4 zd gs2shhe loop in which the plane is flying?

  A pilot makes an outside vertica;t+8z dlb iwkh+ss7 ;ml loop (in which the 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 osz+twbi;8k;d hl+s m 7ne-half of his normal weight. How fast is he going?

  The maximum force a pilot can stan* g*muq)s wkx)d is about seven times his weight. What is the minimum radius of curvature thaq*u)* x mgsk)wt a jet 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 c,a : la3 *ocv-6zzcqkjurve with the 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 and each road sur,3:oalz6 q*ca -kzc jvface.)

  A car is negotiating a flat curve of radius 50 m with a speed of 2) 1-hnb orytrpmc;59d0 m/s. The centripetal force provided by friction is -b)d1 p9cmtyr hr5;no $1.2 \times 10^{4} \; N$. 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. W1/db.+r f p9b dyaxf4shat must be the minimum coefficient of frixd+y4f.b9 s r/apd 1bfction between the tires and the road for the car to make the turn?

  A car is moving with a const xa8e.ii 9v1mpant speed v around a level curve. The coefficient of friction betw.p 8mia9xie v1een 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 for an Olympic bobsled t)e*w93 )b/ ocfh xniteo negotiate a 100-m radius turn at 35 m/s without skieex bt9i* 3fw/co)hn) dding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at/lhi3 flxqkt 4qq6 yjk35e2omq0 .q.p 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 w/gakr+z)54ie 9n jrrnndcd7c v;0 o6an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bvn i 3.;lgrk,kt+ u)lsanked 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 biys q ;t kf-7vzeyg+k 3*06tiof a string is revolving uniformly in a horizontal circle of radius 0.506yf -+b *7git0iysz etqkv3k ;0
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,/zut qcjeh:;2 a race car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical :huz2 cte/ jq;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 il 0 (dqey7l6+o 8fqhtof 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 gravitationa+onf6yq8rtof+ g 62s nl force on a 70-kg person standing on the Earth, due to the Moon? The mass of the Moon is y 6qoos6f+8gt+2 rnfn$7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force x db*g3/)t)fh)(ewydq4 qhaj between two masses is F. If the masses are moved to half of their initial distance, what is the gravitational attractive 4b*dj t/ewqf)))d(qahghy3 xforce?

  For a spacecraft going from the Earth toward the Sun, at what dd6a:e tle82o mistance from the Earth will the gravitatde:8 m62aloe tional 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 q0ixhr. 8( lx6-:cjxqfe r3tkis $7.4 \times 10^{22} \; kg$ 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 above the Earth eqttu t2hfb) n0 bf7m*9m2morz2ual to 0m brnfutomt 79f 2*btm)2h 2zthe radius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what diobp0u1go. o b1wu(4bestance above the Earth's surface will thw0p1u o4eo1u .obgb(be acceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surfxh0s l+t vu4vdc-ez-3 ace equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the accelerationh 0lcetzvd 4s3-+u-xv of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet'slc :j4o pyjos+ey*: n0 center, the acceleration of gravity is 4jnc so :pey 0loj+:*y$32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surf(n+ uklr99r hiace of the Earth. The Earth has radius r. If the object is raised to a height of 3r n uri(+99 hklrabove the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-k *-til2v. - gbb26p3answutopg person change when he goes from sea level to an altitude of 5000 m? (The mean radius of the Earthg.w2il-pb u *vo6-t snap t32b is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite g/ xo 9kf5zzmsih8) 9yfz(lm9of mass 100 kg is at a point 3r above the Earth's surface. What is th /ox5zsfl9m99 zkm)8y(zgh f ie satellite's weight?

  A spherically symmetric planet has four tr7 00pvuqrqb -imes the Earth's mass and twice its radius. If a jar of peanut butter weighs 127uq00r-rpq bv 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, 5)) a nhzms4ktand Sun all lie on the same line, with the Earth between4kz n)ha tms)5 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 tot+qz ugncm +w -z)g).n2,m+ rczlnn+q 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 (i.e., it just ski *rvl t+r:dfl 8vu/m3f1jx 9kgms the surface of the Earth). What is the speed of the satellite? (The mean rakvgt* 3vf 1xrd9 r:l8/j+lfu mdius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., aimb9v w4v9qi+n+ tgn)q6z/ yit just skims the surface of the Earth). How long does it take to make one revolution around the Emt/yn9w9 4iq6)aq ngbz+vvi+ arth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the swf op+ . os-76swd:i25zeelreurface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? w s -+2ew6.op5frie: zs7odle(The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital ktf wh84um zonn7z -7bv*pa.5diameter 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 r/i* ipgo;:x0rry9z goadius 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 orbital k 9bny.+-.pbu3 j0x wy.yfs gbradius r, and moon B has orbital radius 4r. Moon A takes 20.yg.buny ykfpj wxb s-+3.09 b days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is35ff8b2h0fef8/zaik a 4 dq8pqrcr 9f $7.78 \times 10^{11} \; m$ 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.ox7 y+lav x(;hosb(x7 What is the average distance from Jupiter to the Sun? +xl;7x7ah(y(osxov b(The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)