Is it possible for an object moving with a constant speed to accel*gkj1j yr en705kus5ferate? Explainu 5yesj *kkjgf1r075n.

  Consider a particle moving with constant speed /srw;yq1*rjx /h bd9nsuch that its acceleration of constant magnitude is always pe1rnsb/ r/9qw j *dx;yhrpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare t8bnnwnd p g;lwz) 37r,he direction of the object's velnl n3;rbz,)8ng7wpw docity and acceleration vectors.

  When an object experiences uniform circular motion, the directioadbqf5i zl/* 2qd s7acv4;jd2n of the accelera4;bj2sd aqqi dad75l*v/ cfz2tion is

  Consider a particle moving with constant speedwm0v/d, c2bky such that its acceleration of consta/2v wc0by kdm,nt magnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving wqggzjp;2,l9xsav .2o ith constant speed in a circular path .z ;g ax2sjq2pl9 vg,oexperience?

  What force is needed to make an ) 6ji uybpe5 a*yuo-0wm.rr6o object move in a circle?

  When an object experiences uniform circular mo knr*aebk k2j k t2u7y4 xk((-jp-iec5tion, the direction of the net forcep kt jk-u ni4(7 -krx(5c2eayjb *kke2 is

  A roller coaster car is on a track that forms pe ace4; 0k/kaa circular loop in the vertical plane.e/pk;aa0kec4 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 (mass = M) is on a track that forms a c233h hjhim/ wvircular 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 for its speed at that poinwhmvh i3/ h23jt?

  A pilot executes a vertical dive then follows a semi-ciw6bv+lwjh3r 1mz5w * nrcular arc until it is going straight up. Just as bwr6mw l h*z3j1w5 +nvthe 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 c()+rqg7leatin0 h 7 deurve 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. wx *sgz*ra)v -an: pqyv),x2e Then it goes around 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 first*- )y)qapxaegnv *zs2xvw,r : time?

  A car goes around a curve of radius r at a constn vs ( ptbf)*jvbttgi d/38h.6ant speed v. Then it goes around a cur dfpi*n/6 3h.vb(v )bjtsgt8tve of radius 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 curve of radius r with speed v. 1qswqijmy.*r 7z bl0g8v2x4 d If the road issyxzj*.vb mw7igq0 lr1d28 4q frictionless due to ice, the car can 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 on a bobsled run ar4tz) 5ch6uq qbiok /9ee banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run)e)kt94ob6ci uh5/qzq 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 ei+ v .,jc888uftqhop bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the w +, 88pjc.8qvtueh ofiall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object ib;5,g0; ksil gn88mr.kskrzmoving around a circular path to have both centripetal and tang k8kl0.kizm;br ;s g8 5nr,gsiential acceleration?

  The gravitational force between tcxg dtz/z **o)wo objects is proportional to

  The gravitational force between two objects is i (c8m 8-b-usi0nwffo pnversely proportional to

  Two objects attract each other gt vn9; 7fz1qvgravitationally. If the distance between their centers is cut in half, the gravitational forcenv z ;9tgf7v1q

  Two objects, with massesm,at7w, uy 9yn $m_{1}$ 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 masniunkk-zr+ (8ses $m_{1}$ 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 gravitatj kqfrzj 0kn4(7;l8r (r/ zsevion.

  Compared to its mass on the Eab( zt- o-d*wf. gvj3hoump9x-rth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-six9;o,mudrm8 nn a6i8ubth what it is on Earth. An ob ;ao8niub,98nr 6m mduject of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Ea jqmd9 mw: qbhk/;+vxs:a .9qkrth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At whoefw6:gis6xwpx 6(.t 2p pl ;zat point is it beyond the pull of Earthp(.e lxg zopxi6f6 pt; w2w:s6's gravity?

  Suppose a satellite were orbiting the Earth n,coc4gh1f7m just above the surface. What is its centripc47f 1c,ghmon etal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a rad +wko utr3f3pxh0gsq:7 v4iia i( ko6*ius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity w37hikxur0sa+v 3 4if(it o*goq6kp: at the Earth?

  The acceleration of gravb,b/llu9x 2ovc ilt/f02 6 efyity on 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 mass co9 yt2if,vb02c/ob e 6uxflll/ mpared to the Earth's?

  Two planets have the same surface gravity, but purndmnn i l6 e+70,5qplanet B has twice the radius of pl qn7 pimu5n+0n6e,drlanet A. If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravisinrj( o86eb/ty, but planet B has twice the mass of planet A. o6jb/i8rs en( If planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a ci) br8v-gj8qk4,24eq /l ixwbv onrsj2rcular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbital velocity? li2r8/vek- n44,bs gbqjqvrox2 )j8w

  Satellite A has twice the mass of satellite B, and rotates in the same or gepkju e.2,7obit. Compare the two satellite's .72kjeu ,opeg speeds.

  A person is standing on a scale inzbl)u+.xiu)eoa( a g9a0nea 9 an elevator accelerating downward. Compare the reading on the na 0+i(z) ).eag 9ubuaaolx9 escale to the person's true weight.

  Who was the first person to realize uueex-4t21v *uajk4 o that the planets move in elliptical paths around th42ax1uov- uk*jue4 te e Sun?

  The speed of Halley's Comet, while traveling in x +hxd3ut .fps,h e1b2its elliptical orbit around the Sun, p.,s+ fhdexhxub312t

  Let the average orbital radius of a planet be R.5ra,qa qi)fx2rq7c pgs0h )7m q 9hr+e Let the orbital period be T. Whatq)pci 5q)rfa+ gqhr 7sr0, a7x2ehq9m quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, q4h;.yw udsfd n.a g a7j/40jqwith the same orbital diameter as the Earth around our Sun. If that star/nyqs 4 j4f; 7a audd.jg0w.hq 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 Sun is defined asb 0kypb,wqs4. 8/jesl one "astronomical unit" (AU). An asteroid orbi kle4qp8 ws.bb,y/s0 jts the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws., arepx7c 14uh)op f3g

  List the four fundamen :ae mjohj*h)j7n2;qutal forces in nature.

  An object moves with a (2rsdiqfbfdsy zl2j0 v4e o /e4 4z0x6constant speed of 30 m/s on a circular track of radius 150 m. What is the bs z zdv eqfej4olf0ix d 46y402s2(/racceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the ma2lc j5q wm+svw-du2q, ximum speed around a curve with twice the radius? (Assume all other facto 2udj5l2w-wq,vq+m csrs remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bihpavz b4d:-7gcycle wheel of diameter 70 cm when the bike is movizd - vh:7g4pbang 8.0 m/s?

  A point on a wheel rotating at 5pk1 pv+dk )).rdr;ekp .00 rev/s is located 0.200 m from the axis. What is the centripetap);kk1rkev.rpp +d d)l acceleration?

  How many revolutions p4py,je0f pmo)k .onm)er minute must a circular, rotating space station of radius 1000 m rotate to produce an artificial grav )pjn)e .04ym,oofp mkity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 ku )tp; ijs.b/-xm g6wpg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal forcem;i.-gpp6 sut bxw)j/ on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is 7jhmb 4u-joks2m 2:huwhirled in a horizontal 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 breuh :jm-mo7j4 ku s22hbak?

  A stone, of mass m, is attached to a strong string andd53;yb ta/3d6 uniryx whirled in a vertical circle of radius r. At the exact top of the path the tension in the string is 3 time b;d5n3 3iy6/dayu xtrs the stone's weight. The stone's speed at this point is given by

  A stone, of mass m, is attached to1gi2.tk)wn;snyse ;z a strong string and whirled in a vertical circle of radius r. At the exacwgye nn21k tis. ;)zs;t bottom 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 jet plane flying 600 m/s experiences an acceleration of 4g when pulling out iszola3m. t,gp7d-m(of t3, 7.mli(ao-g szmdpthe dive. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical looxt pau65;6j neldhs+;/k. f wlkb1ds7p (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 n/66ddt;l7u+.jsbk5l hx as1w;kfpe seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his v::9 73csjb -c,sasujo wgku0 weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, cans9as :0vj:jwuokcbs -u37 c g, tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tires c(8 fabzj 1wpr:*c9 zzon the verge of slipping. How fast can *1fcczp:(b8 zw 9zjrathis 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 radius 50 m with a speed of 20 m/s. Th6m gamvl+;3rxgw wh*3e centripetal force providedlmx*rvgw;63 m+a wgh3 by friction 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 )my+ht2; (kdb w:)oatoff ;mk a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the tm;m)dk;2y:+)f(aoh k ot bw fcar to make the turn?

  A car is moving with a ++tff nr)uy/hconstant speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum ra/hn+ff+yu tr )dius of the curve if the car is to stay on the road?

  What minimum banking anglhv1; (x9y7gpr rda9zf e is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/sa9yvhfz9dr1 7x rp;(g without skidding? (Ignore friction.)

  A horizontal curve on l.; bxlgu k t5un;wverrl ;5+.a bobsled 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 radius 10i;d+ z0bt aqq)o*sg gpxbl*p4jlk86:0 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 mu:4v kv i6dq 1wo6na4s 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 revolving uniformtvp(z5xrv3i . ly in a horizontal circle of ra.p rz(t3v v5xidius 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 ratg +btlb;iv38shg/ 1uce 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 i/31h u+lbisgvbt;8g t n 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 protonntbiubh rw6*i(551ok 9fa6y r 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 b7k6y7p aua a6x2xx7a Earth, due to the Moon? The ax2k a7x6uapay7b x67 mass 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 fq 7o6v1q rpf,v/ p2bmeorce between two masses is F. If the masses are mov e 1obq2v,v6pm/pq7fred to half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at w ,y irkvb( s8sxmn ft0hy;:8zjq-1u7 khat distance from the Earth will the gravitational forcek qiy0y7;z,-: 8h xntkfvsm jr(b1u8ss 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(4tx8 i*:m.k8;wbr h ez exkde is $7.4 \times 10^{22} \; kg$ 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 oakmm6 n083pz distance above the Earth equal to the radius of the Earth. 6308pm oanzkm What is her acceleration due to gravity?

  The radius of the Earth is R. At what di5lp*ek( +z:p zzeuua 8qc) u8ql(frs,stance above the Earth's surface will the acceleru58 zqf c(k:zlu8qrla,+e)*zeu(pp sation of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distaaozdw95 uu)6 hnce above its surface equal to 3 times the radius of Mars. The acuz )96uowd a5hceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from someud*5bdju/+ pq planet's center, the acceleration of gravity ud d+p q5*bu/jis $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface ozzrx vuus:g. j t+*,:,fbp+t if the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what z pz,fv u:+t,:ubjx*ti .+sgr is its weight?

  By how many newtons lsprj+8-vth h.g8 a0myz 9d5j,rq 2nwdoes the weight of a 100-kg person change when he goes from s2 .+0phywg5 r9jh,q-nlza tdv8rs j8m ea level 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 j1: im) ,-uei4g :vtitjhww.zkg is at a point 3r above the Ear i14i,-z:g ej .wju wi:)tmhvtth's surface. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and )xl2tofd)n( d twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of t)fld n(t dox2)his planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lj e80s 1cr5xgjie on the same line, with the Earth between the Moon and the Sun 8jr jc0e1sg5x. 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 transportedo9oo d7/clp a+hz j( b1)4yvvh 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., it just skims the230 amhix5a0c xpm. sy surface of the Earth). What is the speex 3h 0ia.cma2s0xyp5m d of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it justyq7 5-- oncabymeqrjj h2 1kcce yf6076g.z t) skims the surface of the Earth). How long does it take to jbzfmy7 5c-ark t6n qe 61cj-2cq). e7oygh0ymake 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 surface of/x22aopebd tr/y0b tgm9v becwc5 ,2/ the Earth. It is observed to have a period of 89 min. What is the mass /,egrd22bbt9cc /exb2 at p5myw0 o/vof the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Ju1xdqq,+cnjy m+1s2w .-e12k mtebmyk piter, 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 of Jupiter orbits the planet with ai: gd,u7/s6h rc+xnmt radius of $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planetts du6:yl u1.q5qp;l u in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to coup6ul tls q5:qy .;1dumplete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is) -tp1xkf0 udq $7.78 \times 10^{11} \; m$ 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. What x zj5p*)i2hf(swm o5qis the average distance from Jupi qo )z5mxsp2wj(*if 5hter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)