Is it possible for an object ma9vp07 bal, 1aqtw. zip, .qymoving with a constant speed to accelerate? Explai,1qavbwa. pi.mqyazt,0 l9 7pn.

  Consider a particle moving with constant speed such that its acceu33uqrm oo2k2 leration of constant3 kq2rm32uuo o magnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the direction fj2l 4;)ehpveqa m. 1tof the object's velocity and accel 2 1m)vqefe;at .phl4jeration vectors.

  When an object experiences uniform circular motion, the direu+lvl 86a vpn0ction of the acceleration a6ulpvlv0 8 n+is

  Consider a particle moving with constant speed sucno+i f3 fzng zy2l n 9z,fsycc*;+;r7hh that its acceleration of constant magnitude is always pe2fyhr fozzz+c*in3c;+ngf7sl ;n, 9y rpendicular to its velocity.

  What type of acceleration does an object moving with constant spee1luqa k02q9 vm(- mafyd in a circular path experiencauq 1lv 09-a(mqmkyf 2e?

  What force is needed to make an object move in a cil6w 9.z: ls ,ltj+m(yw,uvo inrcle?

  When an object experienc2 qwh*;-afr f,p0qnsces uniform circular motion, the direction of the net forceq0spf,wn*2c ar;h f-q is

  A roller coaster car is on a track p ( o pqkqd4lw)(kj18g8ag2n7km-dvh that forms a circular loop in the vertical plane. If the car is thdqk g)pg8 q 4kd2jop w(( mav81nkl-7o just 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 onp 5xsc**lvry ) a track that forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the track at* r5*yvl)xsp c the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then fj*.1qzu8 hth nollows a semi-circular arc until it is going straight up. Just as the plane is at its lowest 8h nz.*u h1qtjpoint, 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 cujv2s6(j9jw1jck.w k 8v fd;zq rve 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 itzbmzycc0* -.s goes around the same curve at half of the o. sbyzzc- m0*criginal 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 pepisc,j683;v z .c(; tucs 7.dquwbnconstant speed v. Then it goes around a curve of e;6c t(3cp;,8 sjw.cb 7s iuvnz.udpqradius 2r at speed 2v. What is the centripetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a ban,4fpi jir riu1m(z 8w+lh43z eked 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 compoi4,( ief3z +jiurz4 18hmrlpwnent of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsl li;l(p(*pxf x-j(:xc 2gaar y;ffof/ed run are banked at the same angle, but one has twice the radius of the other. ffcrx( xi2;j( l (oaply:*f-/paxgf; 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 radius curve?

  The banking angle in a t/u4s gfpeis6f o7va-: ,78mvf6oqfdn urn on the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall,p:/fo f74aedv8i6 -7ou ,fqnfvsg m6s " then go lower coming out of the turn. Why do they do this?

  Is it possible for an object4wtu 3odge: bdw;3k;vl7xix, moving around a circular path to have both centripetal and tadbx4odlw;t3,:u7 g3 ei ;v xwkngential acceleration?

  The gravitational force between t yv/ )(9l6/j ywge1fouy4 rc4nahzg4hwo objects is proportional to

  The gravitational force between m 9+pwzq3mzc 3two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between thed88j z(,bfhsbr m v08a/ kes8air centers is cut in half, the gravitational d8msa,f0hjz/8 arsebv (8k 8bforce

  Two objects, with masw/hlm0pz4szur-y ( 0qx m.ga 9ses $m_{1}$ 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 mass8 hayd2r m ;;yl9gt6yres $m_{1}$ 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 unp 02 yg9 foyp)/j.2avcz5zf8oei 2febiversal gravitation.

  Compared to its mass on the Earth, the mass of an orn-i/ vod /n;xl7 mtuk4u*f)t ;emn3xbject on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on lfdh+kn 13t+ice3.daz7mda uc;4 jh- Earth. An object7hc ef3;ki3+l.zm4d1 nja+ t duch-ad of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves awacmv( 6,z6t hnw;8(rvk- svjdry from the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it be s2699bc3zgxnzen8u)x tkns7 yond the pull of Earth's gravity?67z2x nsu3bgntx) kz9n9 8e sc

  Suppose a satellite were orbiting the Ears d-o. fgor8(f/09 a6sjeapvqth just above the surface. What is its centripetal acceleq9p(ojr/ fa 0g-s8esfo6 da.vration?

  A hypothetical planet has a mass of half that of the Earth and a radius of tw0 k h:6;wvjnp xnzl69rice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleratp;6 :jr96nwv z0hn xlkion due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is o-wq m26oym xwa9 rqg+5n Earth. The radiuwgqrqx2oa + 59 my6-mws 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 planet ;2c59ip8(3fca lzbni vvo (bxB has twice the radius of planet A. If planet A has mass m, what is the mass of plc(zb p n acvi;l9(xfb8o53v2ianet B?

  Two planets have the same surface gravity, but pl r s s;i5 j1k,.8:ol3fmmf2h ixaqph4kanet B has twice the mass of planet A. If planet A has radius r, what is the radir:h3xolqsk2,m.5s m8ha1i 4 pkfi jf;us of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a n pyt3um j7/2wp5mkh -spherical planet (mass M). Which expression gives this satellw2h5utn jkmp7m3- /p yite's orbital velocity?

  Satellite A has twice the mass w soia3f/2fe;oci+n +umyl/)of satellite B, and rotates in the same orbit. Compare the two satellite's speedsy +lu /iec);mn 3iaf+fwso/2 o.

  A person is standing on a scale in an elevator accelerating downward. C;0:v v; mu,ka0nmobscompare the reading on the scale to the person's true weiv uoa,kmcmbv0ns : ;;0ght.

  Who was the first person to realize that the planets move in el 68gx *0a4g.lyxmzpveliptical paths around the.a8xgg e *60pvlx4z ym Sun?

  The speed of Halley's Comet, while traveling in iv.iynuu 0:/w ,ubvc2/pj at4fts elliptical orbit around the Sun,vn yt/jai f4,u.20wpuvu/:cb

  Let the average orbital radius of a planet be R. Let the orbital per0px ycw2p6bk2j v ,0zmiod be T. What quantity is yvk 0wj,c0p 26pmzb2xconstant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galah nfin - 2klkly.t4.t5xy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the.4tkkh52 n n.yftil-l 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 Eartseg(1. yelc7swy /wo 2h to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a sw2eosg/ e.y7 (1cw ylyear. What is the asteroid's average distance from the Sun?

State Kepler's laws.: i v 8kof9qj:+aql(uz

  List the four fundamental 7j() kixm 5-nrs,lls(h:q 51zph kyrf forces in nature.

  An object moves with a constt)z8yl y)(n grpg7 mq-ant speed of 30 m/s on a circular track of radius 150 m. W-p 78 )yqztg(lmyn g)rhat is the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is 484qnsz d dzrn;yn17cthe maximum speed around a curve with twice the radius? (As7nzsynqn1 drz 44c ;d8sume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of r d tr3clo(+,ja bicycle wheel of diameter 70 cm when the bike is moving 8,3cr rl(o+ tdj.0 m/s?

  A point on a wheel rotating at 5.00 rev/sc+i,j4uhz,*12fhj,h7 uh oi m ld.hfr is located 0.200 m from the axis. What is the centripetal accele ,hh,rd2f.*uf7+cii lhj ,z14mhjou hration?

  How many revolutions per minute must a circuvi4a4q, .gf vzdv;bc-k4zv 6olar, rotating space station of radius 1000 m rotate to produce an artificial grav c6d 4bi 4;vqozaf4 zvk-,.vgvity of $9.80 \; m/s^2$?

  A motorcycle has a ma/wdjjf7z 2 .bxss of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the ceb /j.j d72wzfxntripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. T9k/jxn9 gubov i 0k3(che system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximki9u bxkn vojc03/g 9(um 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 i.nujw8zn zred e d62osd():3a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times ( dn8 w2rzdd.ue:jon)zs 3ie6the 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 verticp5k0pv y w3n*yal circle of radius r. At the exact bottom of the path the tension in the string is 3 times the stone's weight.w vnkyy *p30p5 The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleratiojpuns vt)ggd 14ol.);n of 4g when pulling out of thegljo4dnvgu);s1p ) . t dive. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outsi hec:vn-e i;;xde vertical 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:vn-x; eieh;c his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven time:xtvadi53m yhm); 8pgs his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, ca3ta 58;ih dgm)ypmv: xn tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve wityn4gp t4v-/ kzf6(edsh the tires on the verge ofz k(g/vestfy 64d 4-np 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 surface.)

  A car is negotiating a f f+3v sx06s g78/jbsoh5gd1u,co z ftolat curve of radius 50 m with a speed of 20 m/s. The centripetal force pr j3fd7soz6fog8, vos+/ gb15 c0 ushtxovided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curv*3xz2kstqqcro a , 9337v4 ila ge)nome of radius 50 m at a speed of 14 m/s. What must be the minimum coefficientzmoa2qia,s3gre* ol t3 x 94vcq7nk)3 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 a legrn k)i,4wl.jhh;yx 5vel curve. The coefficient of friction between the tires and the road is 0.40. What is the minimuh) .rxy;54jw hgki ,lnm radius of the curve if the car is to stay on the road?

  What minimum banking angle ib25,lz ,pqwoow, ix4h x4f2rvs required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore friction.zl fxwro24vw,qi p24,5o xb ,h)

  A horizontal curve on a bobsled run is banked at pb12o4:s;vvk ct, geka $45^{\circ}$ 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 1hka(-gf 52zqb cj3ij .00 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 ttx)z 74 hu6 sq,xk5ycm 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 revolving5naj yj-m0g : ,0-kwus)ytffo uniformly in a horizontal circle of radiusgumjksj0y 0yw-fa:o) nf ,t-5 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 accef 2ve,x0u6 riblerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular traub6e2x ,fvr0i ck 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 of a prq1g7popx 5) ufcl*xi4*x6o mgoton 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 gravitational force on a 70-kg person standinmg d4wakehqda -046*3tt. wfng on the Earth, due to the Moon? The mass0n*afqw 6ehd4 a3.4t mgtwdk- 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. I ax.uepo2 c6vbi2),nfrlo nn: wu-b3 :f the masses are moved to half of their initial dis-p v3 2oeunwn:iunao2. )b fl:rxb 6,ctance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what disgtq;lfwq azy8:p;j:8v .nyrz* o0z 7rtance from the :7: wt*yr8a.0qj gzfy;v q;zz8rln poEarth will the 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 is +lq)yb7 .;yq3l6h4 d/qbviaf ksl4 7htic 1ju$7.4 \times 10^{22} \; kg$ 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 k p(mpx t/7zb:ueg *c,Earth equal to the radius of the Earth. What is her acceleration due *, emcu ( :/ppkbgxzt7to gravity?

  The radius of the Earth is R. At what distance above the Earth's surface willnek 40q6 0ovwy the acceleration ofy vqw4 0e60nko gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 times the q 3sn h2u+:1klmf dex6radius of Mars. The acceleration of gravity of the seuk 6qmxf2dl:h1 ns+3atellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km frolzcymh v r-*3/)l k.dq9b:iupm some planet's center, the acceleration of gravity iul lhv:z /*qr9)cbkp-i.3md ys $32 \; m/s^2$. 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 Eartkw ;: qte* oxhb,*ajm hi,/bghqw z8:.h. The Earth has radius r. If the object is raised to a height oow*im:b,whhbh t/gq:* .a,ez8;q xkjf 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change whb-wo t)vr3q9;nmz (sten he goes from sea level to an altitude of 5000 mrs3bn qzt;(omt-v9)w ? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satell7nytg,rz*fgm/b650 zkoqqe- ite of mass 100 kg is at a point 3r above the Earth's surface. What is the satellit*z5,bmn gz 0rek o/t6- gq7yqfe's weight?

  A spherically symmetric planet has four timq9o7p65zted f es the Earth's mass and twice its radius. If a jar of dt9zofq7p6 e5peanut butter weighs 12 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, and Sun all lie gyw 7x;)oz y5uon the same line, with the Earth between the Moony 7ygo5)u xzw; 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 M xr-,v2hew5l7(a sjfroon.
(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 circulw2m/sj-f jhm.ar 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. j sw/mm2jfh- the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit abfzme5(yapl43*jb mh d(9 5a dsout the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radi( 4zaf9d* bam(dp53hs5yljme us of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above to9 6emw*(fnn-bpy nz-he surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean radius wb*n 9 6f-nm -epon(zyof the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital +yb 3jmlvn -/ndiameter 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 pla1 fys5 em)qfus(9-rk8h:k5o i*cf no fnet 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 orbitstr (dqp e5x680vushyxm,5* n v. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to cotqv d,*s8x5ph nyeuv(x 0rm 65mplete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is bh*tt1j+ 0tu n$7.78 \times 10^{11} \; m$ 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. W,up 1;4;ufh8cybpynshat is the average distance from Jupiter to the Sun? (The distance from the Eart1upy;p 8b4scyn u;h,fh to the Sun is $1.5 \times 10^{11} \; m$.)