Is it possible for an object moving with a constant speed to accele(j* zeqw mjz7ta.m05i rate? Explain.. 7zajw 5m(z0mje*qti

  Consider a particle moving with constant speed such that its accelerati g:.psvi1bj0ion of constant magnitude is always perpendicular to its velocityi:gsi1p. 0vbj.

  An object moves in a circular path at a constant voo s3,w,ny irdl 32u/speed. Compare the direction of the object's velocity and acvrd2suo 3/oiny3w, ,lceleration vectors.

  When an object experiences uniform circular motion, the direct0 vngcpr33q ;h*b+9 c+vhrwhmion of the accelerati 3hh;+r+g3v mq9ph0bcnv w*c ron is

  Consider a particle moving with constant speed such that its acceleratiotah -.uw3xr:em2, pc 34mbwx zn of constant magnitude is always p:emr3 w.ax w2 tuc4xm ,pzh-b3erpendicular to its velocity.

  What type of acceleration does an object moving wim0:oln3 aj3kb th constant speed in a circulaj:anbmkl3 3o 0r path experience?

  What force is needed to make an oa/ : zvl8l0jdxlgs7ty , z7sn1bject move in a circle?

  When an object experiences uniform circular motion, the direction of the wep, b2;q/gm*/sg 3hz gxxlf. net forc ;xgz h/*3xs /f2lp.beqwggm, e is

  A roller coaster car w kj11:n ;lx*g:bjou xis on a track that forms a circular loop in the vertical plane.ub: g; *j 1w:o1jlkxnx If the car is to 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 d osl;9;j7 iot(mass = M) is on a track that forms a circular loop (radius = r) in the vertic7 to9i odl;j;sal 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 dcso n -5el0tu6lx e8m1ive then follows a semi-circular arc until it is going straight up. Just as the plane is at its ltx6esc5 8en 0l-lm 1uoowest 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 radi xxd8lc93s/ -axho:mx3ju a (q8eomo+ us $r$ 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 arounzp6rek 4(g9 erd the same curve at half of the original speed. What is the centripetal force on the car askg(ep ze 9r64r it goes around the curve for the second time, compared to the first time?

  A car goes around a curve of rad2eque9. dlx;a ius r at a constant speed v. Then it goes around a curve of radu; .9x ledaq2eius 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 banked curv z(gmotu):otr/ha*)e0ol m 6f e 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 of the normal force on the car from ) )tto:lr*/mzohf0ma6ue og(the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same angle, but onem+ 9-)umrgejcrzx/ 3fh2o*y f 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 e *ym9u/2-r 3x+c m)fgorfjzh on the larger radius curve?

  The banking angle in a turn on the Olympic bof /om0 e8b.np;jpv+4 jnbu :ttbsled track is not constant, but increases 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 thisu+tpvn0jo.4p/bf;8j me n:t b?

  Is it possible for an object moving around a circularns3jt 4(f*ql f path to have both centripetal an4 ftnls* jq3(fd tangential acceleration?

  The gravitational force between two objects is proportionvspj9lhv cmx/f8( w88al to

  The gravitational force between two objects is ifuhstp ahyl /:/re2 6+nversely proportional to

  Two objects attract each other1w.dd- s*td6ad5 lb6n ez,gs y gravitationally. If the distance between their centers is cu-1d yszwsd6 6 gt,*dde5nbal. t in half, the gravitational force

  Two objects, with majj,jw9s snwc:v+qa)x ( sy/b: sses $m_{1}$ 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:zm7:1fec hfses $m_{1}$ 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 olp)tyve)ov, ie0b) 4 *apmcs,(h s4psf universal gravitation.

  Compared to its mass on the Earth,l.6d.6 o.nhxhkhoaf:wf3 h(d the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Eartqz;pj9 :*h.a5bkxtt67* m pdf+xmryn, w ,nnb h. An object of mas5xptmnr+7 nmq, h z*fjp*t, bk .;6wba9:dynxs
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket's weight)rv-k7 b . 7khizyfqy*

  A spaceship is traveling to the Moon. At what point is it beyond the gyu (w65d4n u2(htw wwpull of Eatdw4 5(wgnw u6 wh2yu(rth's gravity?

  Suppose a satellite were orbiting the Earth just above the ni, wby(s2u v 9.7xt17das oansurface. What is its centriu1(soda9y 7 binxs,a w7tnv. 2petal acceleration?

  A hypothetical planet has a mass of half that of the Earth and ahyn)bee 24*;xu7w hx j radius of twice that of the Earth. What ;2y4n7 ewu* hxj)hxbeis the 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 isqh .t84a n1jzq one-sixth what it is on Earth. The radius of the Moon.8 h4zqn1qj at 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 59 j3bmk) t:poa8mg .xo jqc1rB has twice the radius of planet A. If planet A j51:pxocm)tor 9k3q. g8jab mhas mass m, what is the mass of planet B?

  Two planets have the same surwo+l. qt-do3y; j x*ryzwq r)8face gravity, but planet B has twice the mass of planet A. 8y w)o qjld. 3-zy*worqr +;xtIf planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) abou.iook,f.b8bja0 m-o:rmocb. pwh: zcvs m ,:; t a spherical plac 8rks a.:.,o;owzcbvopm ::b0im.b,- fjm ohnet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of sa2rphxd6co+*w:0oi hw7. fdut tellite B, and rotates in the same orbit. Co0.ux tr2pwi6d+ w: 7h*cdf ohompare the two satellite's speeds.

  A person is standing on a scale in an elevator accelerhp7 q/ 0 wlw7qozeufqcn+9s,7ating downward. Compare the reading on the scaleuz qwqpl9 n70c+s/, o7wefhq7 to the person's true weight.

  Who was the first person to realize that the planets move in elliptical pathsmtri +8(ol /mmmh5 f4q aroun(mmi+4q 5f/rh 8ommtld the Sun?

  The speed of Halley's Comet, while traveling ijx/ o)+ wxlbz*n its elliptical orbit around the Sun,* xx/j+w zlob)

  Let the average orbital radius of a planet be R.u+nk lnq:g 8* ,kv-bnm Let the orbital period be T. What quantity is col :*nmq -+ gn8unk,bvknstant for all planets orbiting the Sun?

  A planet is discoverh. rph u;5bi. pu(*gx 4 v(vuvq59ntdaed to orbit 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 massvpv4dub *nu .a5hu9 p.r5 qivg(;(h tx 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 t y.xctzq+u/ s3o the Sun is defined as one "astronomical unit" (AU). An asteroid.c st3 qzxyu+/ orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.vojqr)v+ t(d4/c3nab1lu di)s1g p+v

  List the four fundamental forces ihf a,huk.h/6t :jfyx2n nature.

  An object moves with a constant speed of 30 m/s on a circular track of radiu8)kahi)0tle 9 /d pyaks 150 m. What is the acceleration of the object?0 eaih 8)adl)k 9pt/yk

  The maximum speed around a level curve is 30.0 km/h. What isfe4uiuj/7m m3gqj ws*3 xv+k8 the maximum speed around a curve with twice7*3e+ kjwfium /q38gmx4uv sj the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point o;q2).i0ocgqq usds/u ,x pfq9n the perimeter of a bicycle wheu2.dicq gs0q/qqx,; 9pf o)us el 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 0.200 m from the axis. 4uq dfp zm;: v/xg)4kao2tl.q What is the centrifg m;4lxvu k.q4)aqpd zt:2o/petal acceleration?

  How many revolutions per minute must a circular, rotating space station of rad y e4h7kc3nr7a, 1vzdb ui7b3zius 1000 m rotate to produce an arid,ach7bv zn 3ek1 z3b7ry74utificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a ma6x22 mr3y/h xenkw; vxss of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. Wv x/her ;n2k63w2myxxhat is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of y2iz oc-oeq(0 a 1.0-m string. The system is whirled in a horizon(zc y o-0oq2ietal circular path. If the maximum tension 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 (z4dd 8v 9sxpjax:v5hand 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's spee:pd5z(8vhxa dx9j4s vd at this point is given by

  A stone, of mass m, is attached to a strong string ang 0/+aqwolpvw( 7g- osd whirled in a vertical circle of radius r. At the exact bottom of tgqa0( /-olgwvp7 +sowhe path the tension in the string is 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 acceleration of 4g when pulling ;cwqfygsu9o r*tww2:8w9-85 s o;b nww liv1 tout of the dive. What is the radius w2w8;8ns g u*b1tor;9tvywsw: il9w o5q-wfcof curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loe y8zwouhtt*+72 pi) fop (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 is he goe+ 7tp8)2z i*ohy fwuting?

  The maximum force a pilo2 vaf1kzx e 2ciw;0z-ot can stand is about seven times his weight. What is the minimum radius of curvature that a jet plane'sk2icf 0e 2xa1-zwz vo; 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 withlqi6ymdh .(,pc fb87x the tires on the verge of slipping. How fast can this car round a second c,xcp8i67 d. y(lhq bmfurve 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 radius 50 m with a speed of 24uv e( mmnd)abu 4.gp20 m/s. The centripetal force provided by fri( n ubu4.gdampev2 )m4ction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 50 m at a speed ofsr* ymti,2)c.(rg7zoggs do1 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car too7g.z1gsdm y*i,c 2r(t o rg)s make the turn?

  A car is moving with s,ruvq:t9,zn4 pvm3ep+i f 3ea constant speed v around a level curve. The coefficient of friction between the tire i9 qfer,3vn+smupz ,v4t p3:es 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 to negotiate a 1y; mk:urd.a7v) dch; n00-m radius td uv);:yd. hr7c nk;amurn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bc dm**j:v i ,y-kff1 pe9un)zjobsled run 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 rad7,7ayu1 ca ibyius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m m.ml6 2mf+spebj m6:b9hpd4 his 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 revolwy-n +j20 j0*w poxywnving uniformly in a horizontal circle of radius 0. 2wypxjn0w-+jyno*w 0500
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 e8cm/ifm 39c;wh3b cxrate 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 blanb3wm9cc;f mec/ ihx3 8ks)
(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 oe8kbrs:0gdyq/w lf7: f 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 gravitational force on a 70-kg person standing on the Ear3 -mx.6a+p+ mmrkkx hfth, due to the Moon? The mass of the Moon is xhfma 6+m- mr +kx3.kp$7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two* ch:*cps14yryckdk id3o 3; s masses is F. If the masses are moved to half of their initial distance, what is isd; :yp3rcc1*k *k3y dhco4 sthe gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance frva++de1ccb itf: e0:t81nb ns om the Earth will the gravitational forces due to the Su:dncf ne0:t bit ++8e11vascbn 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 n,fp wl(il 7 *zql6ea3$7.4 \times 10^{22} \; kg$ 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 Ex1mxe6af ku, r)wi 1o1 ft5*jparth equal to the radius of the E1xw1)* rx fijto ku,m5fepa16 arth. What is her acceleration due to gravity?

  The radius of the Earth is R. wbidrmi6; u 3+ At what distance above the Earth's surface will the acceleration of gramu ; bd+wrii63vity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its sz d0.+ckj b +sd rjjd(wk;t4,surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration o4z0sdj+ d b,tk +.ws(ck;j rdjf gravity on the surface of Mars, is

  At a distance of 14000 kff 8a2ncm:jfrd* w 6.wz:s8 lkm from some planet's center, the acceleration of gravity i*jnr:cfwaz.wfs l 8mf 26 :8kds $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the su157d( deiwiws rface of the Earth. The Earth has radius r. If the oiisdw 15e (d7wbject is raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons do.jbfu cdb: 1t4es the weight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean radius of the Ed.tbb 4jfc1 :uarth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of qcz3i u2jc*vnh 5e3f8 16;n 0uns pqofmass 100 kg is at a point 3r above the Earth's surface. What is the satellite's weigh jn2 6hou1p83zeq;qc5 0n3 nuifsfv*c t?

  A spherically symmetrip8 x/rghfnzu:mqt h0le)c*9. c planet has four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Ear *p gnmc/rufz.: t 0xel)8h9hqth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the ebx bvt*8(4fvep l yi 2u l1ww616+hvbMoon, Earth, and Sun all lie on the same line, with the Earth between thxh b uv+6 l v6y1ftwe*(evpb1i8bwl42 e 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 transm. x;mau0e c9c01hfk iported 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 circular orbit about the Earth (i.e., itm,7mmxwn -g t1 just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of the Ea xtg 1-mwmmn,7rth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it ooy/b q6 hoea4wf43m- just skims the surface of the Earth). How long does it take 4-we4ohy3 mo/ obqf 6ato 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 s ydz2w fp:oy*(urface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean radius of the E:zdf 2ypyo* w(arth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Juot - y-i7 knfl7akt:h8piter, has an 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 o,mdylaj /.q.j(7i yyzj+s.pyf Jupiter orbits 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. Mooa7 ssaogh,dn5. owk,7n 18 wzvn A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to com7kw7sa1nw o a, od.szvg ,85nhplete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is cf)xyc./ wgb 3$7.78 \times 10^{11} \; m$ 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. fxx26 y7gzt.wml,z wna./a g1 What is the average distance from Jupiter to the Suntw f.az6xg.gmx n w2l,y/1z7 a? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)