Is it possible for an object moving with a constant speed to accelerate? Ex(m.p 2mvdc 51uju m4kgplain.k 4 u5cg(m1d .ujpvmm2

  Consider a particle moving with constant speed such that its acceleration of cohz1tj*o a6h2*6 ozgiunstant magnitude aioghoz16* hzj62*tuis always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compjs xex u m6*qf70;yymgal3+r) are the direction of the object's velocity and accelerationrem+xsyy 0fxqjl *73ag6u)m; vectors.

  When an object experiences uniform circular motion, the direction of the ace0, zsig f) +wjbgy/fci7 o;)uceleration is fwu,+zef/gjy0o )gb i7is ;)c

  Consider a particle moving with constant speed such that its acceleration 5oyd4,e rqpcmblj1 4. of constant magnitude is alw4jebcoym ld5,. rp q41ays perpendicular to its velocity.

  What type of acceleration does an object moving wio9d /y1 oz5nlath constant speed in a circulad oao/5n19yl zr path experience?

  What force is needed to make an object move in azq op9.j: - f hpxti0jg::,wfx circle?

  When an object experiences uniform circular motion, th8 s *;yojap6due direction of the net ford6ya j*spo 8;uce is

  A roller coaster car is on a track that forms a circular loop a+ t3y0ra 11lhpb 9ipein the vertical plane. 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 +ai1byl310 thpa ep9 rthis point?

  A roller coaster car (mass = M) is on a tra vae0 q+4eh5b ll)jq8tqzm6r (ck that forms a circular 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 valueez5mb8(j vhqqlraq)+6 t4e0l for its speed at that point?

  A pilot executes a vertical dive then follows a 8 yrw+atg:7csrs1*c8fc kxr 8 semi-circular arc until it is going straight up. Just as the plane is at its lowest point, the forcrrg :y7*k r tc881f+s ws8xcace 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 o ubrkajg.ev7o); +1pimws.geuz+r0: f 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 spqh:i poi n8gio,7k o:0eed 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 the curve for the secoiihq8kio o:go0 7p,:nnd time, compared to the first time?

  A car goes around a curve of radius r at a constant speed v.*lll5-ze :nb zoajg6; Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as ig*5z:aobn;lz- je6 llt goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius r with sp(f /pftqr*kph, ao h 6a+m-,vjeed v. If the road is frictionlehf 6tap,/*p vjfamh+-(ok r,qss 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 oti-y(fkb* p 9hn a bobsled run are banked at the same angle, but one has twice the rak(ty fi-*9ph bdius 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 on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track*isl fhop::)t0.fnau is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb n0to:f)ih lpa*u: sf .the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving ai yjby i2yqoueu92na1. m*2- around a circular path to have both centripetal and tangential acceleratu9 una-mq* iy2e .2yj1 2oibyaion?

  The gravitational force betwenx i14qlps 9xi,k h;rg9md-u0 en two objects is proportional to

  The gravitational force between two objects is inversely proportional 2xg8t*7jx bkj /sym* fto

  Two objects attract each other gravitationally. If the distance between tgb -i(z dd.rol*; yt2vheir centers is cut in half, the gravitational(dyg.i* rtb 2loz;d-v force

  Two objects, with masses+r +iqo5suq0r $m_{1}$ 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 ma7ge 7j05tleop s*(r kosses $m_{1}$ 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 ugnrkku929pb w s9.dp 9(i e9l.6poniz niversal gravitation.

  Compared to its massasyz:k 3jde ,z.ei 8n0 on the Earth, the mass of an object on the Moon is

  The acceleration of gravity on pbx.b6 xiour0,: /pem the Moon is one-sixth what it is on Earth. An object,.6 b p b0reoxum/ip:x 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 weightj3ihcw(xd 7-t

  A spaceship is travelin 4dlodp*piz o:2anb09g to the Moon. At what point is it beyond the pull of Earth's gro2i*d 0aop9p:lb 4dzn avity?

  Suppose a satellite were oec4g gonrm8/c9t1 e 4drbiting the Earth just above the surface. What is its centripetal ame4r9 /o4 gcdg1 et8cncceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius o+q 1dw5j5skhmp dl/xe), 2 aqnf twice that of the Earth. What is the acceleration due to gravityp 5)5qwqxl nkad,+2jhe1m /sd on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on oid4a9,sr* e 1nuia /kEarth. The radius of the Moon is one-f 9dki4reo1ai *,/ausnourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have thettibc+4bn w0n.p(z/ l same surface gravity, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of planet cnz.4(ntw+0b pi/ blt B?

  Two planets have the same surface gravity, but planet B has twice the mass ofu.nqz 5mply(y*yknq.k )2 a w/ planet A. If planet A has radius r, what is the radius of pmpzn a5ql( y*/kynk.qyu.) w2lanet B?

  Consider a small satellite moving in a circular orbit (r 6)oetk xagv(86it w5padius r) about a spherical plan 5oaxt ei6 g6wpkt(8)vet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satel(b n6v-ne,n .enqsq qy77ia ;alite B, and rotates in the same orbit. Compare the (n.eb nqqa7aesn iv ;nyq-67,two satellite's speeds.

  A person is standing on a scale in an elevator a+zw kazt:w i+2ccelerating downward. Compare the reading on the scale to the person's true weight+ tz+w k2ai:wz.

  Who was the first person to realize that the planm j2 0hr0lhl0jv:f( -egu:cdiets move in elliptical paths arouf2j00ug hj :i mdv-0(chl erl:nd the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbitwm6,bqa136dz icv. -4mh mep v around the vmw 641vd pc3mab mezq ,-hi6.Sun,

  Let the average orbital rad*yvul:u3xbrm i (5r h*ius of a planet be R. Let the orbital period be T. What quantity is constant for all planets orbiting tviub:** h5r3 (u ryxmlhe Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, with the odlck j4lm/lda, r .(m.7a3ypsame orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planaao3d .(ryd / c,7p.lmllmk4j et be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as oneba)o7 ueh/6vl "astronomical unit" (AU).l6 e/a7h)vu bo 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.x( be*rc:0 onp

  List the four fundamental forces in natureswgw+/5 x )lw) t(u,vwijyvd+.

  An object moves with a constant speed of 303ioxx z-j dc:)rjdf(, m/s on a circular track of radius 150 m. What is the acceleratiod ocz ij r3dfx)-:j(x,n of the object?

  The maximum speed around a level curve is 30.0 km/h. What is(arj*i-l5 .jrzyx un a9(e8a i--blj e the maximum speed around a curve with twicie-zab * a8ru.-9nlj jx(-lye ra(ji 5e the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleratil7rux b:d.d 37xms5w gon of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0 m7xbds:g57d 3xw. u rlm/s?

  A point on a wheel rotating at 5.o0dl3x7(bz md v7bx2e00 rev/s is located 0.200 m from the axis. What is thezdxv7o2b73 m(l d0xb e centripetal acceleration?

  How many revolutions per minute must l8mtq/pu ozh677*nza ow*x 1m a circular, rotating space station of radius 1000 m rotate to produce an ar u n1amox 6 z87t*hmwqz*/o7pltificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. uflf 1a9gk((man h5 jvu5 g8/o It goes around a 13.7 m radius turn at 96.5 km/h. Whatn5/f9amu l(ok h85v f(gu1jag is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is 8va24fy2s qam whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is y a2qam42vf8s the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attachedmobusok1x )zp m*(jw ,j;ke8 5 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 ax w8ejm os)jzp1;k,m(k*5 bo ut this point is given by

  A stone, of mass m, is attached czqh.)q9mv m.to a strong string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension i h.mq9z).qvcmn 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 accelerat ru 4/cwuxif3nx*xwtv0p.(v2 u jrf(6ion of 4g when pulling out of the dive. What is the radius of curvaturfx0. wf u(6t2uuvw4v x(p*irjx3nr/ ce of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in whichi w. +0(ap-dr:qfuuqd18owav) 3tsgg the center of the loop is beneath him) of radius 3200 m. At the top of his loop he i(o)rg s p-3auv.:u8fdw+t01ag idwqq s pushing down on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is abou 5db0/9zsp ctc/w/br h1ul ,oz,chfm6o -t7ynt seven times his weight. What is the minimum radius of cur ,/ypt5c1 06r cl bo/b9ofm/uzw 7n-ztd,c shhvature 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 rou2dxm3glbnr x*p6 l- 1 mankw0+nds an 80-m radius horizontal curve with the tires on the verge of slipping. How faspl3akx6wln2- *+n 1 dr0gmm xbt 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 flak;4i bp9*jc8i s +gfhbt curve of radius 50 m with a speed of 20 m/s. The centripetaj*;bi8 k94cs pf+ ighbl force 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 mpnb 3xa9)8kach +s+/)9pgpwocj: iy a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to make the turnn saca9) moi:x cg 8j3k9 pwypph+)/+b?

  A car is moving with a constant speed v around a level curtrwpyxh+.x6 4 ve. The coefficient of friction between the tires and the road is 0.40. What w6 .+4ptxxryhis the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required forq w. ecfa;cx1 y, 8)q7ylw2rwf an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore fricf8y l7wy1 .c r 2qcwxaq)we;f,tion.)

  A horizontal curve on a bobsled run is banked at lz4u(- bd/ijl9l1yay49esrz 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, banked at an angle tisjn/tn s7( (of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banko:mdea r3* 05 nvgob-led 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 uniformly in a horizontal:ofq * tjtz+k3l 5ef4m circle oftf tl+feoqzk *jm5 3:4 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 race car accelerates at 1x x p+a/q2:1lx+iykgxy gst )a uniform rate to a speed of 45 m/s in 15 s, moving on a circular p ytksxx1gx+q2g:1 l xy/)ai+track of radius 500 m. (only 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 mass + y:e o x,of8ykc:4ycsc *4nfa$1.67 \times 10^{-27} \; kg$ 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 standingjvgup)bt9 la3jd1k. 3 2vynj; on the Earth, due to the Moon? The mass of the Mood1gj jkul.b2vj vyt)33;na 9 pn 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 man 8 .of3nxne ip mdv0sa 39x5r7fk(,zwsses is F. If the masses are moved to half of their initial distance, what is n3 xp ,ns xfv9ezar78okn dw(3i.m5f0the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what diste5 9:,za (y2cidsh9 uvkq)hnaance from the Earth will the gravitaa925qev:c yi)n u (hkz,sa d9htional 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 isqnn,5u tdo ;1s $7.4 \times 10^{22} \; kg$ 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 Earth e1emh ;bhmph xxwtw2/ql.(; ,v qual to the radius of the Ethmq( ; .;xpwhl1mbwxeh2v/ , arth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's0p *y5vwyhr 0m surface will the acceleration of grapr050yw mvyh* vity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance abov rn; 3;dd+mgfge its surface equal to 3 times the radius of Mars. The a;g+f d;mg3r dncceleration 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 some planet's center, the adci25ie*t jj 4cceleration of gravity ic*52j iet dj4is $32 \; m/s^2$. 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 hf62wa 7p byl5radius r. If the object is raised to a height of 3r above the Earth's surface, what is its 2fwp 6y5b l7ahweight?

  By how many newtons does the weight of a 10s35d7h,vsaow*s, 49 izjrkv n0-kg person change when he goes from sea level to an altitude of 5000 m? (Thej ,a o wss4r3*i9nv,5h dvk7sz mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is;0x fqpilyd6ca px b3v295wkm qwd(x8:j13qk at a point 3r above the Earth's surface. ;(i8bq0yjkldq 5dafpwxv x 9wq6 2:3k3p x1 mcWhat is the satellite's weight?

  A spherically symmetric planet has fo vyp.3nz 4s mxhn, 67g)rfel8tur times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N onx3f4 )l n,ntv8megh s7yr6z .p 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 lie on the s1klav 3 9 *iysmng.n8oame line, with the Earth between the Moon and the Sun. The Moon has a mass 3vao8m 9n ksl*nyi1.g 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 tqn s-ljy;v t1s17kzb1 ransported 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 skqs1( i )yqqp4aims the surface of the Earth). What is the speea)4ysi qqq p1(d of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low cjqt:+ 0v78 y agef,+xltm2gguircular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the vq8fl,mte+0g 2+ xg jy: ugt7aEarth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the s6 2. nlt,pst89jzgpwjp 6: zzsurface 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 6:jz8zs26n. lp9 wj st gt,pzpEarth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital azo)c1ji .s96wefp1jk/; jwpdiameter 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 vad u-ltim8ta4ev3+e)fob (- 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 neag.pjkrtijc:0 i9 zk0/* kvclm;; j ik;rly circular orbits. Moon A has orbital radius r, and moon B has orbital raitl0i j:crjk;9;0kpgi k*v/ czj ;.mk dius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is :9p4c ahdb nd1rgf:5 lx)f*ta $7.78 \times 10^{11} \; m$ 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 b)8r w(jfln7:a5cb nlj(ck9 kSun once. What is the average distance from Jupiter to the Sun? (The dist9ak)cn5n(w(bbjr 8 jll k:7cf ance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)