Is it possible for an obgw 8u a4-ww 48mbluf2iject moving with a constant speed to accelerate? Explain.4w- ubu2gmw 8i4f 8law

  Consider a particle moving w059uuw4qirfyk(mrm 0 wt t):yith constant speed such that its acceleration of constant magnitude is always perpendicular qrmr0 4i9wyy :50) (ttumfk uwto its velocity.

  An object moves in a circular path at a constant speed. Compare the directir i6mg 9g) til.+q:vgzon of the object's ve :+l m)i g.vgi6z9rtqglocity and acceleration vectors.

  When an object experiences uniform circular motion, the directioj7tpq;.x6w l ocgnf* 6n of the acceleration islwq6c jf pt7nx.;og*6

  Consider a particle moving with constant speed such that its acceleration of cz ,lgs ttjj 1kh nq;v6g5n9b--onstant magnitude is always persq91tz,jg- t hg65b- jlvkn ;npendicular to its velocity.

  What type of acceleration does an object 7xod:o/ 3hv cs1h axn.moving with constant speed in a circulah. nv1oxao73chs x/:dr path experience?

  What force is needed to make an object move in a vo/um0xtnle4 0pr -+m:yeqf* circle?

  When an object experiences uniform ciro 6jdm /f qx g0n, kamx)7k5rj90aont:cular motion, the direction of the net force /n7xmtjoo0 q j5: nka6axrm 9k ,f)0gdis

  A roller coaster car is on a track that forms a circular lo)- lm0o kszr-bop in the vertical plane.s-0k-z)orbl m 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 circular loop (radiu/4 rat9i hqrmp 6 fec+5sja:,kvk: lo(s = 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 minil/v:9s4 a ok tci:ma,fr(h+rq6 pje5 kmum value for its speed at that point?

  A pilot executes a vertical dive then follows a9h4 c iu:vohm8 semi-circular arc until it is going straight up. Just as the plane 9m8o4h ui hv:cis 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 ramjf r pt/0anhmqak,a;1 +w35edius $r$ 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 ary dyyi-*- l7 l kl-)v y4roo+m3yngnn,ound the same curve at half of the original-3y -vmgr +yyni,nlklo ydn*-4oy7)l 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 radsc el 4o,(stf4ius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on se t4f,(o4sc lthe 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 dh78cfztj4w:,vl8z d v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizonta7z, cthdj8zd w 4f8l:vl 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 the same angle, b)gw1fwm 2 rgm 61u,srbwk8 oa/ut one has twice the radius of the other. The safe speed (no friction needed to stay on the w)mm2 ruk o,aw81sbr/ 6g1f gwrun) 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 bobsled track is no ty bu-2tvuwx1d-g, i1t constant, but increases upward from the horizontal. Coming around a turn, the vbi,12 xywugtdt - 1-ubobsled team will intentionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to have both t5 7wd9jh u c39t20alagu5-vvnjuw g (centripetal and tangential accelerat3 lda5v h(9w -5 v unw0u27ggju9atjtcion?

  The gravitational force be4 j9wy0x wyg)9 yafv yr6ejy9pis0r ).tween two objects is proportional to

  The gravitational force between two objects is inversely propbi c,: cmid:sk8pkm3q,b+yq( ortional to

  Two objects attract each other gra9gykm w 4/f(wi( uq//bl:us1i l4vx ghy1 z9fdvitationally. If the distance between their centers is cut in half, the gravitational force/q /:w(iifsl11wmxdyv9g u9zlg4k 4hy/ buf(

  Two objects, with mass8.dd vcv1)cn jes $m_{1}$ 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 ma *mm97r;shgtusses $m_{1}$ 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 gravitatndgqaq)9t ti)s f ojm;6p0m99j3k3jvion.

  Compared to its mass on the Earth, the mass of an object on th2e5 smum98:snvg ; gqde Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. An bim33b +ratr6 + a2jnzobject of mta+brribn3 2+ mj a63zass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from 0. opg bbd4y+z+11 :zk fgvcd8n 4mhyhthe Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point 2oe :v d+6aguamv f(0-tu +*lhzref.kis it beyond the pull of Ea*-ae tul fm eo+v0ur+ 2ak (vf6dh:.gzrth's gravity?

  Suppose a satellite were orbiting the ;fcm ldu2l(x*s1dab5ksq 6jgm,-hm-;k y y,j Earth just above the surface. What is its centripetgshm dlf kyd;qbl265j-,amk ;xmy *1c s-u,(jal acceleration?

  A hypothetical planet has a // c6udya: omtibt* t/mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the accelerationoum y*td6 ba/tt c//i: due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is o4 ) xc xsvf7gcp30ta0wug b2lz k4kb)2n Earth. The radius of the Moon is one-four0w )72gc2) k4f a kxx04bbgt 3zuclvspth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the si5ta5yj-tc3oh+ i m74jgsu l6 ame surface gravity, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of plan76j5+scigjl ut t-a hy43 5omiet B?

  Two planets have the same surface gravity, but planet B has twice thea1ym y 5i((txj mass of planet A. If planet A has radius r, what is the radius oy1x5 (at(jmiy f planet B?

  Consider a small satellite moving in a circular orbit (radipyxmiqe(v,4i*ox5 ;* - bgdne us r) about a spherical planet (mass M)e5qd ;opxgm* , ben4(*yixv-i . Which expression gives this satellite's orbital velocity?

  Satellite A has twice8h l5 ) g)cl77ogjc4urzukb)e the mass of satellite B, and rotates in the same orbit. Compc 4u ))k)8 7 bzcl57guehjorglare the two satellite's speeds.

  A person is standing on a scale in an elebmkar;:ldr(9 vator accelerating downward. Compare the reading on the scale to the person'rbk (:mad r;l9s true weight.

  Who was the first perso n htda/v-luvr lupa ui082.lf, 34f7sn to realize that the planets move in elliptical paths around the Sun0au udav li/fl-83rf su47 l2v.pnth, ?

  The speed of Halley's Comet, while traveling in its elliqjsg+yay u ,c ;/)g(qxptical orbit around the S;+qqxcaj ,s/y)g( g yuun,

  Let the average orbital radius of a planet be R. Let the ordo5m /e;un t2:6x lu,ngqfl)gbital period be T. What quantity is clq ggul)uxn ;e /6,ot2m5ndf:onstant for all planets orbiting the Sun?

  A planet is discovered to orbit around a stp;w:a pou (jvp:a00edo/1g opar in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period p/ 0:ogpua:e(;p oavw0 jo1pd of revolution of that new planet be, compared to the Earth's orbital period?

  The average distance from t ajnebu1swr2j-y f8csg:gs2+ 82x8r she Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third jf1gr - 8ussex+ygsa r2n8wcsj2 :b8 2of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.v. -4 g-mbp-iyzynm h3

  List the four fundamental forckx:(.v7dpkv 0 yvpm-w mm+qx 5es in nature.

  An object moves with a cqs,+ (ozdpn+ constant speed of 30 m/s on a circular track of radius 150 m. What is the accelera +sc,(op qnd+ztion of the object?

  The maximum speed around a level curve isgh8xb);cw bly()fv v - 30.0 km/h. What is the maximum speed around a curve with twice the radius? (;lbfb xcv)h)yg v- 8w(Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bicyc* sx nxgbn:7*r3;ycn9p 9lgh tle wheel of diameter 70 cm when the bike is movi h9ng y lxtc: 7;*b3px9r*sngnng 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from them f.5by n6ql+cjq,*jb;b e7mw axis. What is the centripecqwmby,blb*j56 ;j7m n+ef. q tal acceleration?

  How many revolutions per midayvlvrds+.d8 m 528x8q- wzbnute must a circular, rotating space station of radius 1000 m rotate to produqdz5x+y w88 sd .v2b v8drml-ace an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes aropc cjljk 5 -,5pwwm;(wund a 13.7 m radius turn at 96.5 km/h. What is the centripetal force o w,w(k;cljjmwp pc 5-5n the motorcycle?

  A 0.50-kg mass is attached tjq2 5w,l c8x 4 ,g5ilgmphijzl. vr+x-o the end of a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tensi g,h r4q iixcp5m52 lgjvwl,-xl .z+8jon 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 attachedns49g) 3;(*yy)s:dnhmnsr wr ozu8.whls 0fj to a strong string and 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 speed at this point isfz y*unr8sg ( w)nh ys) mrl3j 9.0;:w4osdhns given by

  A stone, of mass m, is attached to a strong string and whirledcsj vbct5)c)./ 2wqsc in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times the stone's weight. The st.)c)5/st2sbqcv cjc wone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceler8,*+ v d*f keak,tuuv(svx0nvation of 4g when pulling out of the dive. What is the radius of curvature of thee,xn+vdkfv k u,u* 08vasv*t( loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop ingi+25g4u ij md5 zm2is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his signm2zgd52+im u j54ieat 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 weight. w3iz 4-th qkfk5ht(;x7e ol5mn ds.; nWhat is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 2.-mhqh;3xk tn7 e(li wtk4 no; f5zsd550 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tires oiyd9jq xj:r,-rdo 2 g:n the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficient of fxqr:rod jg,jyi:-d 9 2riction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m with a speeuqc+te; g-x4/ eufuc ;c zwp33d of 20 m/s. The centripetal force provided by friction isf;;g-c /3zucu et3e x4puc+wq $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 5/1hu9b-ol6 rn3 tazzf0 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the /bf16r- lz3 nta9uh oztires and the road for the car to make the turn?

  A car is moving with a constangri05 wf 4wqx2t speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if the car is tox2qw0f5 ir4wg stay on the road?

  What minimum banking angle is xhv/ nzc * ubd5hgbl8nlc/j*8k3u/9 krequired for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding?n 3*c5bgu/hh9/ klbnv*z8uj8/l dxkc (Ignore friction.)

  A horizontal curve on a bobsled run isfhpc; /4vt*v hyedz+6 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 curvek,e*a g*t9;l)esdzw fy31ss n of 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 bu2 0f qcp193 di,wz 6etf*stsbanked 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 uniformlyogjex z(h3zv(u;(, tc in a horizontal circle of radius 0.50vx(,tg(e (jz3 huo; zc0
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 a5n clo.+1 aigxt a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (onl.aoc51+ xgin ly 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 proton of maqe), i;e2yb 3 e*bccsass $1.67 \times 10^{-27} \; kg$ 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 7pr;m*yec3p uyc:/dd 1 0-kg person standing on the Earth, due to t e/mpyc dc*1d pr3;uy:he Moon? 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 attractive force /2ruop7 o+anem 8 dcwl,3pm e,between two masses is F. If the masses are moved to half of their initial distance, what is the gravitp/3oal7n+ w pde ur,, ecm82omational attractive force?

  For a spacecraft going from the Earth towar*qbnbme3;r: dd the Sun, at what distance from the Earth will the gravitational forces due to the Sun and thb be3*qr :d;nme 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 isnsg;4.zz * 2 fugj.tsq $7.4 \times 10^{22} \; kg$ 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 above3m3iq ua-1e7.ue7up i wu 9wkgsc zo(7 the Earth equal to the radiucwpau -3 i u7zwi 3e o(sqgem9k717.uus of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance q -0d)hjyvtbwkg46 n ;above the Earth's surface will the acceleyt 064 vk-hbdnjq;)gwration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 timw 9pp0pk ka1f7es the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, iskak7p pwp f910

  At a distance of 14000 km fromh8ppw7w9 ve.p some planet's center, the acceleration of gravity is pw7 hppvw e9.8$32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface i*q 4(o +u6/u-uuvp hq0 kc .oxjlh-lhof the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, wuov 4u6qc.- - (qhupi+ j */0ohklluhxhat is its weight?

  By how many newtons does the weight u)g6 .yr3iqjj of a 100-kg person change when he goes from sea level 6 jyi)j. qr3guto 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 kgf nr4lwd- n r*pw85q6n:qn,wv is at a point 3r above the Earth's surface. What is the satellite's weight?r f 5nwwnpq*d,4rnnw6- :qv8l

  A spherically symmetric planet has four times the Earth's mass and twicoi,a wev -)kk ,:7fcjie its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how muiwji-, a kckov,fe: )7ch would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earl7u2e o)juy5 pgkej (hg8z5 q9th, and Sun all lie on the same line, with the Earth between theu 2jz ouqg879l hk5gjype5e) ( 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 transported to yk z,wf.eis/k9izt8(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 (io0)xyy- kowk idr g.06.e., it just skims the surface of the Earthyo. xkdi)y0kwo0gr6- ). 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 circular orbit about th fi, of+as3j6 a4m )s7au:otv08rromhe Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolutio ,t60mr sa3oms+h 7ju4iavaor8f:fo) n 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 the Earth. It ismg-*8kyh.l riz*n;l x observed to have a period of 89 min. What is nzyl xg-h**;mk 8rli .the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiteu-: +a;cvwnjks 6ig 7zr, 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 Jupite7a3mlf lt)7. gsydicc mqm9*;r 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. Moon A has or ljks l2z27d9nbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete onezll 92jkn2d7s orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isdse i01qe8c (bga(nah4 5 a2dc $7.78 \times 10^{11} \; m$ 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 1x*5e:nbs fhb6r3jck; 2 years to orbit the Sun once. What is the average distance from Jupiter to thebk:*bh n5x;6cje 3rf s Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)