Is it possible for an object moving with a constant speed to accelerate?8:5sbcsvo .ucz/ 5n2,2dkek4w4rt ri i tv9fg Explain.v2 ,9r tekiigorwcu5zt584/ 4v .2nsdfcsb: k

  Consider a particle movgrvkqf0)b6sfn3 jq+p )r )(s cing with constant speed such that its acceleration of constan0cqv) g ) sb3nk(6jspfrqrf)+t magnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speersshn; t*(hom ein- 95 s,a,ald. Compare the direction of the object's velocity and a mr,*saih9n,a; ssth e o5n(l-cceleration vectors.

  When an object experiences uniform circular motion, the zr-a3jh- l9j6g: k+cm45xfd dd2igxsdirection of the acceleration is32d j6xk:x4gz ij-+s-dfl c9mh5ragd

  Consider a particle moving with constant speed such that its acceleration of7fn ns 9n2nw4t)cqmnwdfn:m-p rc 8ad62tk/4 consrn-np2f /4c mwtnt wadk27n4d n6c m)9f:snq8tant magnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving with cowksi-3e0 hk 9mnstant speed in a circular path experh es03k-9 mwkiience?

  What force is needed to make an objey 5 bl6mk5srlq24t7rbeh 8( opct move in a circle?

  When an object experiences uniform circular motion, the direction ,aej4qrex-hogw x 757 of the net forcea75qxe7 -x r4ojh ,wge is

  A roller coaster car is on qx04lyc0 :f -ap kghe,a track that forms a circular loop in the vertical plane. ga0hp yf e4:qx0c-k, lIf 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 circula7s 6tp6ov1mf wr 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 th vp1ofws t7m66at point?

  A pilot executes a ve r;(.4kkpy7dig7(n9g b wo rp1vfyi-urtical dive then follows a semi-circular arc until it is going straight up. Just as the plane is at it7(-r9 14noikywfdkr(7 gp pbi. ;vgyus 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 ya,u 5 plph qa04odyky91o:t+curve 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 oefp. +dsav u3w28d7gtf 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 goes around the8t g2 +au.d7se3v fwpd curve for the second time, compared to the first time?

  A car goes around a curve of radius r atxqv876 adkbn 5ro; p6e a constant speed v. Then it goes around a curve of radius 2r aeq;vbkro8 6x p 5nda67t 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 g.z:66 f8qrh)cuor+9c byyx rxdj+o 6around a banked curve of radius r with speed v. If the road is frictionless +jr yho8:z q c6.u 6 xor)96dyf+grcbxdue 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 are banked at theqfm exs8 +(p.v same angle, but one has twice the radius of the other. The safe speed (no fris+f.(epqvx m8ction 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 turn on the Olympic bobsledp;ygu h+0rzl1u: :zni 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 doz: y+i0hz; rluu1p:n g this?

  Is it possible for an object moving around a circular g:1mi. dxy*y. j3n qhu )mzmn9xit6e6 path to have both centripetal and tang3 .t:qig 6 6nyhxdjzxnu ).1ym9*m meiential acceleration?

  The gravitational force between two objects zk ;ue*,)zvv uis proportional to

  The gravitational force between two objects is inversely propi qw:u;61 -wyf qr6yzqortional to

  Two objects attract each other grpe. gw8d09nc iavitationally. If the distance between their centers is cut in half, the gravitational fe 8i90pn.wdgcorce

  Two objects, with masspikq 2eq)l /j s;rw;x9es $m_{1}$ 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 masses 9 ui/0zm jy:ah$m_{1}$ 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 univ sqxy 0lhj0:(zersal gravitation.

  Compared to its mass on the Earth, the mass of an object on the Mo p-y) omw(+ md+paxal0b /+nwion is

  The acceleration of gravity on the Moon is(z( casb46uc. x bb4md one-sixth what it is on Earth. An obmz.sub bc6da4cx( b4(ject 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 rocket's weh/z q55r:xo aqight

  A spaceship is traveling to the Moon. At what point is it beyond the puw;aorpmdx- m0g8h +q3gm r+-q ll of Earthpa gx+m8g+--hm q30r ; rodwmq's gravity?

  Suppose a satellite were b ,sdz sjiz1 g326zs8a:w 9x 3aveg*xm g2viq(orbiting the Earth just above the surface. What is its centripetal accei(zs3 mg 8zizv:2ad x,9qsb62 3g e1 axwv*sgjleration?

  A hypothetical planet has a mass of half that of the Earth and a radius of twice z *ryc.kfpk3f-u*hy6*d9fw z that of the Earth. What is the accelerkkuf*hr* y -3dz9p. fw*zf6ycation due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the ( of4ji 3ekcsrdbvy+h.)n()vx8 uu j0Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth kyi(jcr) 3+b0f e4(hvnoj . 8udus)xvthat of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B han4 ai(tye5n(0p r2roh f);j ub h5(yrvs twice the radius of planet A. If planet A has mass m, what is the masy r)(4ft5b(i0y5 h2r(vpr uj;enhaons of planet B?

  Two planets have the same surface gravity, but planet B has twice the mass of tz/hig)pylq )r487d k4iw6nvplanet A. If planet A has radius r, what is the radius of pla w i4ldnz q 6hy/prt847k)iv)gnet B?

  Consider a small satellite moving in a circular orbit (radius r)6 nshs3le- os4 about a spherical planet (mass M). Which expression gives this satellitesslhne-3o6 4s's orbital velocity?

  Satellite A has twice the9a z 44clmqjg 0xn k2 y6b0m6us+zul2y mass of satellite B, and rotates in the same orbit. Compare th2x 902bjm+yyzuc4q 4l06gzm k ulan s6e two satellite's speeds.

  A person is standing on a scale in an elevator accelerating downward. 9uqub bnr;(2 m Compare the reading on the s(unrm 2u9bb ;qcale to the person's true weight.

  Who was the first person to realize6gh83wyxy zhe+w8xn6c p tqib1h)w0 0 that the planets move in elliptical paths ar6cye qb 60h1th3pzwh+w0n88) xyigxwound the Sun?

  The speed of Halley's Comet, while traveling in its ellipticap3s xz 2l)ii xbyas.yf6 /eg2;l orbit around the S2sesgpxlzx. /fiy) i6;32bya un,

  Let the average orbital radius of a planet be R. Led1ck2b/: ep txzfk9l*t the orbital period be T. What quantity is constant for kt:zk b*dlx9 /pc2fe1all planets orbiting the Sun?

  A planet is discovere6nsz 3/-jwbq md 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 mass o6wzq/b s3 j-nmf 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 aol;.)9 c plpqes one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's aver.oe;pp9)llq cage distance from the Sun?

State Kepler's laws.azkrzh-./n-i w cmk5/2npq z /

  List the four fundamental e -9uxdl(fnkydp:g5.4r. zkr forces in nature.

  An object moves with a constant speed of 30 m/s on a cit0 vn z+q:hso4l2z2k/j *npc ircular track of radius 150 m. What:s0c nv n2*jp/iz t4hzl +2qko is the acceleration of the object?

  The maximum speed around a levg1uv lr ,lza:(el curve is 30.0 km/h. What is the maximum speed around a curve w auvllgr,z(:1 ith twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal accel7/kf bh9 vaw/vivk+gvvj5s+1 eration of a point on the perimeter of a bicycle wheel of diameter 70 cm when wv9bi+vk /j/ks fv 5hav71g+v the bike is moving 8.0 m/s?

  A point on a wheel rotatii2qf;xjw 7 -gtd r,we;ng at 5.00 rev/s is located 0.200 m from the axis. What is the centripetal acceleerw tqj;-d7 wf;g,i2xration?

  How many revolutions per minute must a circular, rotating space sy 5gttzmgj3 yyf4+h7. tation of radius 1000 m rota mh 7zyf45j+tg3.tgyyte to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turn at,h8rtkbl;i 50w9 oqpn 96.5 km/h. What is the centripetal force onhl, rionptw;k5 9bq0 8 the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m str2aru1u-n7 6w9u8j gq qugm4a cing. The system is whirled in a horizontal circular pathg284nrqugm1qa au u 67ju-9cw. 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 and wh 7fig6v2lp;g /d xy:oiirled 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 speed at this p2;6g / vfolpd7y :iixgoint is given by

  A stone, of mass m, is attached to a+x11s/ : 9lr;gmd cqqzs,scyx strong string and whirled in a vertical circle of radius r. At the e lm,1x z;c19 /qry:dcq ss+sgxxact 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-wg 1wxk0p.vp acceleration of 4g when pulling out of the dipw0pwvg x1k- .ve. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outsib1hm -5a lr m02cphk,pop2 i/f7g*dlsde 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 his seat wiibp2 mrmpaloph * f-g57h dc10 2sl/k,th only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand 37hhxoi3ky78,cjdey is about seven times his weight. What is the minimum radi,hid7j3c 83h y7xyekous of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds x5s4pc :1 oklob3p:mjan 80-m radius horizontal curve with the tires on the verge of 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 1xjp: s:k mcp 35obol4each road surface.)

  A car is negotiating 10ejh 5whf49clpre0j a flat curve of radius 50 m with a speed of 20 m/s. The centripetal force provided by 0l9 c0hwr14jj hepe 5ffriction 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 aj2 s*0kt i:ya edaf,;e;a)f0m5jmv+ w qal7rpt a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the ca 5 s0fj qal0:ykt) pemmvifj7eraw *a;+d; 2a,r to make the turn?

  A car is moving with a constant speed v around a leveu mh5i/hzennhq )qy;p*/7t x6 l curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum repxu;hn6t)y hq7hq5 m/n/ zi*adius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympi b-btuf p4p12yc bobsled to negotiate a 100-m radius turn at 35 m/bp y 421ft-pubs without skidding? (Ignore friction.)

  A horizontal curve on vd;ye o*eu.j2a 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 100 m, bank-slih;q s3t9 ved at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked k+fek98md vebk*a3c5v g99 xu 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 endikv t3 ro8mu bg86;x1w of a string is revolving uniformly in a horizontal circle of radius 1 wi38gbmx8rv;6uko t 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 ra y1,oxyjfs: oc-6 epo:ce 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 nfoe cxo,o1:yj:y6 -p sumerical 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 consisczc cardk7 ko.2u+ p7*/ikm 0lts 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 perso2;t:6zq8 ow e7iqv f nfohan;4n standing on the Earth, due to the Moon? Thenqo ai6wq f;4eh2t;:8z7 ovfn 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 force between two masses is F. If the masses area ybow0-,i qa+ movebqa+,yi-w 0oad to half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from tagkt4hktd r-b7f 2+6v he Earth toward the Sun, at what distance from the Earth wilh 42kfb+rtgdv k-a6 7tl 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 n0b fdyr 5hr+j:g5j4q 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 "sp+ag0 n kqfk.d8ace-walk" at a distance above the Earth equal to the radius of the Earth. What is k +gkd 08.fqnaher acceleration due to gravity?

  The radius of the Earth is R. At what distance abwev : 7sp77xpu 4ugooun ,(:pkove the Earth's surface will the acceleration of gravity b pv 4uw:p7x :eu,opn7 u(ogks7e $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above itsizfu iq1fkf5af qcx- /y;y 025 surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface xy-ai0;f1z fqq ff2k iu/y5c5of Mars, is

  At a distance of 14000 km from some planet's center, the acceleratiogt et.t yta* 7bj)n1.k .2+lfns m+oqtn of gravity gt.2)m*bn1 tn e.ttjfaqk7y+. t+olsis $32 \; m/s^2$. 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 has radius r. o-g72t,plb0 v 1trqm dsrpb15 If the object is raised to a height of 3rtb0t1 s 5 p12, lgrqr7mdov-pb above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person changeh *y+qp djj;o) when he goes from sea leveyd ;)q*jjph o+l 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 k xy-aw+; 0rwysw xbu0o1 )8cesatellite of mass 100 kg is at a point 3r above the Earth's surface. What is thew1eay8)x+b0 kw uy;o r0wscx - satellite's weight?

  A spherically symmetric planet haqx2dso10:yq q zyx o;1s four times the Earth's mass and twice its radius0 ys1 o:q;yqzxoqdx12. If 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 all liisgh/d/6x 95m mg+ hlqe on the same line, with the Earth begq5/+xh9/ d6sh il mmgtween the 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 transpog b97sv+5fm 8v uj6xvma(uoa 0upi 4*srted 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., +nn hp8si0ub97pkag lt92hsjl5 y 4w,it just skims the surface of the Earth). What is the speed of the satellite? (The mean radius nbl0jk us2g7lpa yhp, whis58+94t9 n of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular a6hoyz t uz kt nyh1+nd+by;2jy5g.+9orbit about 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 m.tnzgy6z+b yyyk dn2a9+juth1 o; h5+ean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the iz, 9j1 iau1ygsurface of the Earth. It is observed to have a period of 89 min. What is the mass of thzjaig91u,1i ye Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter of a q3- (de 9c2(dgxndyf$1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits the pvar 9eob3 v-7. -i.lcd os-h.gsns)aelanet 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 orc;crx9f 569 s ix1ymufbits. 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 take moon9isf1mc ;u6r9xcyfx5 B to complete an orbit?

  The planet Jupiter is - hz4ji.q xb.e$7.78 \times 10^{11} \; m$ 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 thel h ,tz1k*cr/pv3f v-m Sun once. What is the average distance from Jupiter to the Sun? (The distavvpcz*m13 f,r/kt- lhnce from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)