Is it possible for an s7rcq,i nc0b( object moving with a constant speed to accelerate? Explain.nq,7csi( b0rc

  Consider a particle moving with consta( dmkv;o6p yx/nt speed such that its acceleration of constant magnitude is always perpendiculdvmypk ; o(/x6ar to its velocity.

  An object moves in a circular path at a constant speed. Compare the diriof im75rn71z ection of the object's velocity and acceleration vecto15nii7 o z7frmrs.

  When an object experiences uniform circularn,h1t( v*l sy3-rmcw r motion, the direction of the acceleratio*,cryhv-wn sr 1tm 3(ln is

  Consider a particle moving 4* -igdqf; 9rqfyfi6lwith constant speed such that its acceleration of constant*4 fd9q;-ffygiil 6qr magnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving ws2ym+ o/fkbao)ydow 5ov7kek3y:lauve (6 -;ith constant speed in a circular path experience?k(lv wofe eo)ua/- ;3y od+k2b5m yka:7ovys6

  What force is needed to make an obje(s gt*z xswpe+l0h(:yct move in a circle?

  When an object experiences uniform circular motion, th+ ;6ysasjged2ihk+o,e direction of the net fordi6o+yg,sj ;aesk2 h+ ce is

  A roller coaster car is on a tracxzi0m)oicz(o5 w/ 1hzwt 7x9 tk 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 centripetal acx )t91 /hizz0oicowm(57zx tw celeration at this point?

  A roller coaster car (mass = M) is on a track that forms a circular lo11s5s 6bvx8c 9v ubr9amu/fixop (radius = r) in the vertical plane. If the car is to just maintain contact with thx/89v56s u1u1cbv s if mbar9xe track at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical div 40 koontws,w:e then follows a semi-circular arc until it is going straight up. Just asntso40 wwo k,: 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 rde, o670x*1 rx 1: cyppogphlfadius $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a cud,-hux1ywz6)h u(u dorve of radius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal force on the car as it o 6h(-uxzuyd ,1uwdh )goes around the curve for the second time, compared to the first time?

  A car goes around a curve of radius r at a consta4(wqq w*8uqfr( p9w(/j4,pv tx93cuezfk gb vnt speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes aroun4v vupwc 98gx,4z(wq k(q/uerp9b *(qft3wf jd the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius r with speed v. If th(51khppbp9g q e road is frictionless due to ice, the car can still nego9kgp5p1phb(q tiate 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 banked afzu qi+lkf)6 fb+p2 3zt 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 smaller radius curve is v. What is the safe speed on the larger ra) 3fu +p bqk+6li2zffzdius curve?

  The banking angle in a turnbj4)1losbumpv1 j.9q on the Olympic bobsled track is not constant, but inc9o4 ljq1)pv 1busj.mb reases 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 object moving arvnkkgena/ :c6m)j-mn qcv5 2.ound a circular path to have both centripec qnm5: e/ .2jm)6a-ncknkgvvtal and tangential acceleration?

  The gravitational force between i .tbn*ws r *79-mhghmzsj0.w two objects is proportional to

  The gravitational force between two objects is inversely proportional tk:hup8u: x wv0.ra 8wev1 (boto

  Two objects attract each other gravitationall+cpnzfvff- 1+ljr x ;o.cowpx8 0u4+ sy. If the distance between their centers is cut in half, the gravitational forf0+pxors ff +c +4-jw .1uoxnvc lz;p8ce

  Two objects, with mash l3ja7t7u(u5pdaj2z:d,r4 np xn1m yses $m_{1}$ 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 mass zgeo0 dd* 6q*wea5y/ges $m_{1}$ 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 unive6vci/wia1 ew g- cod,k7u( 5pnrsal gravitation.

  Compared to its mass on the Earth, the mass of an object on t:p *p, cu+ ge5tnpwf90zn q5bdhe Moon is

  The acceleration of gravity on the Moon is one-s abp(*2r pp(0shinjd:x* 3)x5hptyrrixth what it is on Earth. An object bp0t(p)d2 hs 5* xr*p(3x:payr rnjhi of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's sub 8v4g9 b2esufrface, the rocket's weight

  A spaceship is traveling to the Moon. At what point i3 9ob+re r z)n2ztx-bzs it beyond the pull of Earth's gra3erz-xzbbrt+ 2)no 9zvity?

  Suppose a satellite were orbiting the Earth jus73; r qx+33cew .ml wtkmha*egt above the surface. What is its centripetar+m eh*3t xk 3. mw73lacqgwe;l acceleration?

  A hypothetical planet has 1y /wtx85j:ijpdy1bm a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on th8 d/ 1mbtjxy1jipw:y 5e planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity te*6uz1vxw hx4v5 l+lon the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mau61xt4*vhlvz5l x +ewss compared to the Earth's?

  Two planets have the same surface 02b .ep5eryj3dn:enq gii .r4 gravity, but planet B has twice the radius of planet A. If .5 2e.jbqi dpiyn:erer4 gn3 0planet A has mass m, what is the mass of planet B?

  Two planets have the same surface/aza31/cwcyg-7 d 9 gwp)mvp,zne yd4 gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radiu3,9 wgaynz 7 vcyc)g4/mw zddp /1-epas of planet B?

  Consider a small satellite moving in a circular orbit (r:gcs 7jr3 wjr.adius r) about a spherical planet (m3:cr7j. swg jrass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the sohh3 a.i:x)9h*fvjdo ame orbit. Cod h.ho o :)fijx*93havmpare the two satellite's speeds.

  A person is standing on a sca8e bp 6+0 gi6zs;qldrqle in an elevator accelerating downward. Compare the reading on the scale to the perg6pq+ z6dbe0l;qs i 8rson's true weight.

  Who was the first person to realize that the p*sjv .nw fw)(p 7r0*eqhqrl6s lanets move in elliptical paths around the Su6j*.f 0h w(qslve )qsw r*r7pnn?

  The speed of Halley's Comet, while traveling in its el9s0 ur:lmt as7 ch,ls5liptical orbit around the Ss7tu h:ll9asr5sm0 c,un,

  Let the average orbital radius of a planet be R. Let the orbital oqjq;ia1(iud p fz691uwc.f7 period be T. What quantity is co .f7fqdwi(jiq9pu16o1c uz a;nstant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, wqdw1h *c*5f:emi)gym. yg)hqith 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 revolutio.h*q) w)*fy ie5y :qmhdcggm1n of that new planet be, compared to the Earth's orbital period?

  The average distance from thykn81 y5b(+g fhn1 zmrd2fy7 h(1jyrme Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average d811 hry mbrm y5nh ny7zj(2f+f(1ydkgistance from the Sun?

State Kepler's laws.zjb.ohnimwbp831/ j:g c+jt 1

  List the four fundamental forces in natur73ciko2 k5gbo v14uj23dhg5 oblj u 0qe.

  An object moves with a constan)zbb/ tdh -gztm )l37vibj/76zbfn z2t speed of 30 m/s on a circular track of radius 150 m. What is the aci3zbtbh2v) 7 -f)7 dmb z/zt6gj/nbz lceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is ths)t7m xg)j.pre maximum speed around a curve with twice the rs)j7 g) xprt.madius? (Assume all other factors remain unchanged.)

  What is the centripetu5:kau 2 r)/u 1qhsppty*xhk0al acceleration of a point on the perimeter of a bicycle wheel of diameter )h*rkh:p5u q2yu0kt ap 1s/ux70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rota(7,+tyuek h 2iwh6xchting at 5.00 rev/s is located 0.200 m from the axis. What iwu6h+th ,x27iy( k echs the centripetal acceleration?

  How many revolutions per minute must a circular,8icj .uu5 r,vmxi7wj/ rotating space station of radius 1000 m rotatvc5r iu /,u 8jxi7jwm.e to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kc3(6/1zcvczkfq *rn v g. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motorccq/zk*rv3cvz c(f6n1 ycle?

  A 0.50-kg mass is attached tw )-htjn fod(2o the end of a 1.0-m string. 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 spee-d(o2fjn)wht d of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong st 0- qvh:bjsy;yring 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 stone'b0sy: jyhq;v -s speed at this point is given by

  A stone, of mass m, is attac.kt z-k3czdya8 ac-q( 5 o2rjhhed to a strong string and whirled 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 weightyzac. kajt 2(k o -h5zd83-rqc. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulling out of: 7zkiy+dgl5 n the dive. +:d ig75 ynlzkWhat is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (zfouaio0)zx4)2 os+my)cj 6i 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 one-half of his normal weight. How fast j )xyzi2c)i+z 4usoo 60ofa )mis he going?

  The maximum force a pilot can stand is ab8vndis a5uaul5d cq72)mv03u- if6sz out seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vdms2 a3 )i8qu0vu7cl-dvsf 6 nizu55a ertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tires o/b8+ijm nmtn+n the verge of slipping. How fast can thism/8nb+ni m +jt 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 flat curve of radiusmpgd z2 4e0;um csfa*/ 50 m with a speed of 20 m/s. The centripetal force provided by friction gu*2epf d m4s;0 /zmcais $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 50 m at a spetplpa gr -(50d74sgvs ed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the cps4pl at7( s0vd5gr-g ar to make the turn?

  A car is moving with a constant speed v around a level cdsbc3dou-s/ u)6v wqrd 95q k5urve. The coefficient of friction between the tires and the road is 0.40. What is t b5v9u-5 dosqdw uc) kdq3rs6/he minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to negt0-j.ojl+8 zfg5 k qfl: x6ekeotiate a 100-m radius turn at 35 m/s withou q6o: .lkjfetz+ke5 08j-xfg lt skidding? (Ignore friction.)

  A horizontal curve on a bobsled run2sp383 kv dd -fmxkv3b 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 atnrfyz nc(k n2bg-+c02 an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m io5(5j2 dohu2nv zjtx2:+sd1cdg u,k 9k zusq,s 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 strik e)0ur iuwbjbj7+g- ysn6g,9 ng is revolving uniformly in a horizontal circle of radius ejukb + uw09bg7s,i 6gynr)- j0.500
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 thk.iz b774 cuf6 c,aqcve pit area, 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 value in the 7kqbia.zv7cc 64,ufc 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 prqdneei +:4c d*oton 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 gravitation7ss 49q6obp9o ea8mrxal force on a 70-kg person standing on the Earth, due to the Moon? The mass pa8oxq s 7ebos 4mr969of 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 w9xv:b3miela.08xt og 0h*ue masses is F. If the masses are moved to half of their initial distbuix*o8 v a:9x e lwhg0e.03mtance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance front-8ik: ww; osls1x t/m the Earth will tho i 8tts:l1wx nw;s/-ke 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 Moon gre+ 0x. u/whkis $7.4 \times 10^{22} \; kg$ 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 "spalmn5 ojl6 73b r:kj-i- ;e 9xf)pzrwbzce-walk" at a distance above the Earth equal to the radius of the Earth. What is her acceleration dueoi jblzrb)9xfp ;k5 :e63lw 7jr- -nzm to gravity?

  The radius of the Earth is R. At what distance above the Earth's surfaco;ce+r bu9s /ce will the accelee+ur /cso;9 bcration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a di7t4u 0ot y;pv5bea5stzw/gj 2 stance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as comp ;eyt4t0pa7ts guvbo/ 5j5zw2ared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's centery.uk7nl;jpx:zvm2se /rie 4bz;r 8 (a, the acceleration of gravity is;8.r2 ixe(ajpe;bvnurs mz/ 4:zly7 k $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N o6g*ssl 1mkrmc jw4x f o,g6yvu x3;:)rn the surface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's su;1g)4 *: 6vcukw6jf,xxg3sy rslmormrface, what is its weight?

  By how many newtons does the weight of a 100-kg person chao 6(sz fp/nuz+8sm0h14ec nsinge when he goes from sea leve 8f+c0/ h(s eizsopmuns4n1 z6l to an 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 5,u49l xjwu huft(k6j at a point 3r above the Earth's surface. What is the satellite's wu6u(kf w j9 jlxh,t54ueight?

  A spherically symmetric planet has four times the Earth's mass and twice its 4ox33fhu 4svd radius. If a jar of peanut butter weighs 12 N on the surfac44xv3of u3s hde of the 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, withyf38:* mzvbz9 (r642ld53k :etrtgh dnlmem n the Earth between the Moon and the Sfd le 3 tzht(bk*z:egrm:ym n9ml3n 586dvr24un. 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 br*-kb 0p/i+vpn3 yq othe 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 8s/h/crset,0ij t)sc circular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed ofs0/chts/jc)rs 8 ,tie the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbi csv u6kd(p7:g xs-0art about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revol x spd sk6gca:-7ur(v0ution 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 the3c).1wb oxrb i Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean radius of the Earx)3r .bcwi1 both is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has anc.lbc7*9 d4ofrni2m w 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 pbqd1l3 i 1-bqj6 okqs1+goca+lanet 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 9*y wyyb4 czy0circular 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 t0 bwy9cy y*z4yake moon B to complete an orbit?

  The planet Jupiter is ei)idvf4 x)0k $7.78 \times 10^{11} \; m$ 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 orbincr/4( mkad,f t the Sun once. What is the average distance from Jupiter to the Sun? (The distance from the Earth to/nf (k, rda4cm the Sun is $1.5 \times 10^{11} \; m$.)