Is it possible for an object moving with a const b;fsgqx,9x0y ant speed to accelerate? Explain.xyqbg,x0f s 9;

  Consider a particle moving with constanj.*hcva7xu ve.)a .s :ubpvh6t speed such that its acceleration of constant magnitude is always perpendicular to ae u6sbuv 7.hh*: ja)vxp.cv.its velocity.

  An object moves in a circular path at a co*mz0,,z j8s axib 3mzdnstant speed. Compare the direction of the object's velocitszmz03zm d8*b ,,xa jiy and acceleration vectors.

  When an object experiev 3qsmmoddd*42gj / i(nces uniform circular motion, the direction of the accelerati3i/jo4qd(v* g s2mdm don is

  Consider a particle moving with constant speed such that its+klu .fcr*5dearw )z /y4* ibt acceleration of constakir rt5)a *y4wfu d+.ez*b/clnt magnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed in a 2(*k ,5aekmuteg cxs ;circular path exper5gkxcm ksa; eeu 2*(,tience?

  What force is needed to make a;1g3xbbmhtbo qxk.7-qx44 2rkz ql 6en object move in a circle?

  When an object experiences uniform circular motion, /z:8z8juh,s8g qmlhj the direction of the net force isszujh qj8 ml,/:8 z8hg

  A roller coaster car is on a t33 )gow pwj.6bjg6xp track that forms a circular loop in the vertical plane. If the car is to just maintain contact wj .ojpg )g pt66wwxb33ith 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 tha4lvrbsv8tjit6 2( 0cy t forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain clv82tvrcy6i j( t4bs0ontact 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 dive then follows a 2*w;* ifp 3 5nuapfck-ip6bk csemi-circular arc until it is going straight up. Just asip6b*w3 2a*5kkc;inuc - pffp 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 rad o 92u)dujdkx6ius $r$ 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 ky+ el5l.paf 7speed v. Then it goes around the same curve at half of th7p5ae +lf. lkye original 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 cofm4ih*(v j2j5 5 rv y5xo5xkcurve of radius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car yovkh* xrvc5j5m ox4(5i2fj5 as it goes around the second curve, compared to the first?

  A car of mass m goes around a bankedr/a zlr wte04./t)ie3 ag gyq4 curve of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate 0lwg 4yr.4a/e i ragt)q3z/tethe 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 bankav4e6vo.hd n 6e mxz4at-h42 xjup9b7ed at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) hh. 9-de4 v 6u4xxpn2b6mzjeaavt74o 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 bobsl*dg3u b2z(c -i)jqnh qed track is not constant, but increases upward from the horh)2i*b uq3dnc(zq-j g izontal. 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.wzvaji2 k j8f.r4)tk object moving around a circular path to have both centripetal v.wkrf82.ajzk j4i )tand tangential acceleration?

  The gravitational force between two objects is proportiona2 3vw* u:+l bzilf1zkwl to

  The gravitational force between two objects is 8mf; f9cvcf3c bx 7*icinversely proportional to

  Two objects attract each other gravitationally. If the distance between thei wmr468ahgd *+ ,qn/k/hyd docr centers is cut in half, the grav+/*w6 d hyhg,ra nm d/q8ocdk4itational force

  Two objects, with mass.ydehn2n9mug x3 3a;ses $m_{1}$ 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 massesk-/q0rbgs ;6( xpzw)dx2h uhf )9osuc $m_{1}$ 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 c(d7buri cics2rj hg oh+,l-+x+g u /16 j.dbygravitation.

  Compared to its mass on the Earth, the mass2i g6qcsnhfg 6005;xce 9jnv n of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Eh -33jdty t;vxtuo,ex .vb91 harth. An objec h ;t ,yh 3exjv-u.o31dtvbt9xt 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 rock0d4vi(8wk4ydbomf*3 o4p psc et's weight

  A spaceship is traveling to the Moon. At what pointy9f s4;.iav oy is it beyond the pull of Earth ofay;4ys9 iv.'s gravity?

  Suppose a satellite were orbiting the Earth just above the surface. Wham h,b-lsj5 :vo qio:-vt is its centrip jo:,-:o mslq- vb5hvietal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius * s4rds)/dmfe of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravit4dmf*s )dsr /ey at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Ef *dioltz8 5j:arth. The radius of the Moon is 8ilf o5tj:d*zone-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, /3ev4igj7g zzumm;n . but planet B has twice the radius of planet A. If planet A has mass m, whv .zug;4mmi7en/g3j z at is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice the mass of plpi 1.8s1 az mir.8v*l1syuzne anet A. If planet A has radius r, what is the radius of pl8ie 1i8a*l.1zsr1zsn v ym .upanet B?

  Consider a small satellite moving in a circular orbit (radius r) about a spheyv2a14.bj vvn iz9fp*rical planet (mass M). Which expression gives this satellite's orbital velo4vf.zn1a9bpjv2iy v * city?

  Satellite A has twice the mass of satellite B, and rotates in the saml4y(6 u4, g, tkopjdjme orbit. Compare the two satellite's jm6u,ld j(o pkgy4 ,4tspeeds.

  A person is standing on a scale in an elevator accelerating downwma5ubfe3p-fo(-b 5(( jh 6gx- w(r nta0wjrjy ard. Compare the reading on the scale to the person's nuabjjx3(-we( g (m6a0y-br(jwp f-tf 5o rh5true weight.

  Who was the first person to rea7ieuhbc 2h cfae 4.o(8lize that the planets move in elliptical paths aroun(ab4ch8heu. oicfe 27 d the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit around tu723t h2x;l ysvk1nf16xsvjbhe Sun,bvku1ylf sh ns;x1x 2763 tv2j

  Let the average orbital radius- p 6mlv+lc-lc of a planet be R. Let the orbital period be T. +cp6lm cllv- -What quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromw5y6+yowp a01h3nr+ , g;zvvfzg z k0ieda, with the same orbital diameter as the Earth around our Sunov3zygv105+n0 6, kyf;zirpzwahg +w. If that star 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 as one ij e t4,,bcurvr8rs,;c 8r/u v"astronomical unit" (AU)urrev 4v8,crj;u8,b cs/tri,. An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.stu ;*7kf )0 nle8wv4b61:8gt ftyd ehq eta4s

  List the four fundamental forces in nature*7)bjv9mh x fkenh3.z.

  An object moves with a constant speed of 2agdr j5p1yx430 m/s on a circular track of radius 150 m. Whpgd4 jyra2x15 at is the acceleration of the object?

  The maximum speed around a level curve is 30.0 +pg8b tzr 48l1nmj ju3km/h. What is the maximum speed around a curve with twice the radius? (Assume all other fugp zln 38+ j48t1mrbjactors remain unchanged.)

  What is the centripetal acceleration of a poodgk9h, :h dh,int on the perimeter of a bicycle wheel of diameterhg9,dh k ,:ohd 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 bxs 1t z :c50z.qck0v2f) zx9 frhuda;from the axis. What is the centripetal a .1vt9)xhasc b 0zx u:rq02cdz5kfz;fcceleration?

  How many revolutions per minute must a circular, rotating space station of rad 6shm s2z2ka8f*li dd)y tbo.1ius 1000 m rotate to produce an artificial g l.y )bt h8*am2o is2s1ddk6fzravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 saua 5gm34,4 z55 n9yo oyusvmkg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motorcycly55 9,aog nv3ouz4sm m45asyue?

  A 0.50-kg mass is attached to the end of a 1.0-m string.r t rdbvb0(j4. The system is whirled in a horizontal circular path. If the maximum tension that tbrtv b.jd40 (rhe 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 anixbvq8+y)8uqqx l 3 pp40d8fsd whirled in a vertical circle of radius r. At the exact top of the path the tension in the string is 3 tixppqi )4y8lq8dxb+ v3 q0u s8fmes 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 whirlkcfwj/ j mh)yqkl22+ *ed in a vertical circle of radius r. At the exact bottom of the path the tension in tfmqh/w*2k cjy+k 2j)lhe string is 3 times the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600xnemyf6 e5p-jf z.i*) m/s experiences an acceleration of 4g when pulling out of the d5*fjxeiz emyf-p )n6. ive. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop is benec .w9h vii h9 8yn25afnzduk; ::vui,oath him) of radius 3200 m. At the top of his loop he is pushing down on his seat with only one-half of his norma ihyn5.wz;8c2 fidkihv9va,u :n :9oul weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weight. What is thpy1 uvql p.o8y,dh dn::q8 xz-e minimum radius of curvature that a jet plane's pilot, pulling out of yppqd8 1u n,yql zv dx8-h:.:oa vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds auqv6z:7 .ubp bh cfi:/n 80-m radius horizontal curve with the tires on the verge of slipping. How fab:c.7fpu u: z iv6/qbhst 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 flat curve of radius 50 m with v 2i fy1ab:v8j uyf-kt:b fp.m8e(1jia speed of 20 m/s. The centripetal for82ui1(fbj 1t:y fy jefv:p-a8ikvb. mce provided 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 a speed otg.-o.j.n(smthgcv, +skc 8btqzz 04 f 14 m/s. What must be co.k+q- zs.4jvtg(t .mzhcb8s 0g ,nt the minimum coefficient 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 level curve. The coaiy5 8,srn6-q t e bj*pq92l*di*fwzhefficient of friction between the tires and the road isi2t *d5sl8i-j,pzeq6q f nwa hb*9ry* 0.40. What is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is requirez 7h8v dx6tvsay avs/o;q4x( eu;3*qld for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore frict; 6se al(u4v zyqvx/3q;s78a vtoxdh*ion.)

  A horizontal curve on a bobsled run is banked a,8(ps9j otpm,5a niaj.xqn 4dt 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 ofh ;7q4obtjsdse29ara -px0- i radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked ;p ixol g6goru4:m xh 3yad/fk;+; oj(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 awh3932mj,eni p 0n y;xjnpe-is revolving uniformly in a horizontal circl-maj einn xp02jn h;w3y,p9e3 e of radius 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 ramfqw;n( l3k dc ot7;j9ce 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 o q(jd;; l3k t7nfmc9wfill 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 consistsrkqx 5 v /rs7t+ o)-yx(v/flvt of 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 thl r+;k1pbicc 3e Earth, due to the Moonpbrci+k3c l;1 ? The 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 attractivetrk (xww)s r -h36bii: force between two masses is F. If the masses are moved to half of their initial distance, what is the gravitational attractive for tihsrb r -:(iw)6k3wxce?

  For a spacecraft going from the Earth toward th)c ;kxjdvsr-r- (+dvx e Sun, at what distance from the Earth will the g+x-c ) xrdjkr-;vd(vsravitational 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 i5v qn5: ehyrj ll*-me1 (vjtg(s $7.4 \times 10^{22} \; kg$ 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 Eartrx1gildn i3h+s4dklh 0 * ,sx1h equal to the radius of the Earth. What is her al*hl+ dsn, 01i3dxxsg1ik rh4cceleration due to gravity?

  The radius of the Earth is R. . c76 xvqi-lwq At what distance above the Earth's surface will the acceleration of gr- xv7iq.lw6 cqavity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 t;m ,;tc k3xu) zup--3lwo6vy fr9ub ogimes the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity xtvof,;zu l6my33-k -cb 9)puugr;ow on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleration of grav7 6r w9 g3ispqc9m/uzqity i/6m9i r9qus pcqz3w g7s $32 \; m/s^2$. 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 Earth. The Earth hasvm/;o l8jl/i d radius r. If the object is raised to a height of 3r abjvmllo8i /;d/ove the Earth's surface, what is its weight?

  By how many newtons does the weight oe e:e 5vwhxx-*f a 100-kg person change when he goes from seh5 - :*ewvexexa 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 kg is at a poin1dz..j kx y8:ae7f dact 3r above the Earth's surfac8a7dd f:a x.cy1zk.j ee. What is the satellite's weight?

  A spherically symmetric )8,jp* vocjgr planet has four times the Earth's mass and twice its radius. Irvpgo*)c j, j8f a jar of peanut 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 79cbbo -ij njmu)l9n 3all lie on the same line, with the Earth between the Moon ab9 n39m7b-jc n)oujilnd 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 issz hk .t33oj+f-9 ngya transported 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 abi c5a.m 3hmio9out the Earth (i.e., it just skims the surfacoha3 m5im .9ice of the Earth). What is the speed of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low ci+ aba/p(bmi jj07(f6*tyxiph rcular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revol j7mybi bt /*6fiaxjpah0+ ((pution 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 o5 *7r avf. m1tehkca9mx,(znof the Earth. It is observed to have a period of vmz( c7an 1f h*a9emrxt,k5.o89 min. What is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter ;s73b(q4g 3c o+k7r bfbises nof $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orb6 gueyr)ky-d y07-hr dits 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. Moon A has orbital w)-z6 p6ns lw 7woere5radius r, and moon B has orbital radius 4r. Moon A takes nee-6r lzp 6s5ww7) ow20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is slg3)u:*awtnqxrp/s/ wi9u 7 $7.78 \times 10^{11} \; m$ 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 is the averau6 hgp 2 qd,cjg6(wc+mge distance from Jupiter to the Sun? (The distance from the Earth t,g q2g6+6h udpcwmj c(o the Sun is $1.5 \times 10^{11} \; m$.)