Is it possible for an object moving with a constant speed to pfad/.:dp:no accelerate? Explain..p: /pdad:fno

  Consider a particle moving with constant speed such that its acceleration yczpm ra6l2;b1 6txsf3 .rt+z of constant magnitude is always perpendicular to r xys 6+;p23zatr1.l mzbf6ctits velocity.

  An object moves in a circular path at a constant speed. Comparessv/m :;67f xsj0x;gtht4 thi the direction of the x ;ihtfg;7s4h/ 6x:s t jtms0vobject's velocity and acceleration vectors.

  When an object experiences uniuxo6u0qad oi on:,m, h;v1f.mg b8/b oform circular motion, the direction of the acceleraogua1 nmb ivd 6ho.boq:mofux,, ;/80tion is

  Consider a particle moving with constant speed such that its acceleration of n;;zw;jf4sedconstant magnitude is always perpendicular to its velocz;e;dsn w; 4jfity.

  What type of acceleration does an object moving with constant speed in a circ-4jud 4/.zud. iig vqzular p du4/vd4i . qgz-zjui.ath experience?

  What force is needed to make an object move i3, l -fmeswp5dn a circle?

  When an object experiences uniform circular motion, the direcr;al0aptrkk k i+f56:do p-1ition of the net force 6 0at; 5plrak+ k1pdrk-o ifi:is

  A roller coaster car is on cu lty67lq08sxt) bh4a track that forms a circular loop in 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 centri 8cst7l)60xqbt4h l yupetal acceleration at this point?

  A roller coaster car (mass = M) is on a h3.gzzk: cs5ntrack 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 o:gzs. c3z5hn kf the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive4f43wo4sybcy ox h) 7r then follows a semi-circular arc until it is going straight up.x 44bs y4 )coow3fr7hy Just as 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 radius 6rjdxrt ))zew*rgqo/-2ly )d$r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve 4dczw* *:wr xhof 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 aroucxr*4wz:wdh *nd the curve for the second time, compared to the first time?

  A car goes around a curve of revt k49sb gkcaw*o3 ;*adius 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 as it goes around the sg4*; s3 etc*v kaobkw9econd curve, compared to the first?

  A car of mass m goes around a banked curve of radius r with speed v. ,0pgzcy+ uh* vIf the road is frictionless due to ice, the car can still negotiate the curve if the hori+huc,0y v*z gpzontal 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, but one ixv/ b;z44g4crv j3z7 pfm-kl has twice the rapc3/x4zj bglf4-4; 7 vrmk izvdius 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 t d(.kc:s 2g.b:k24lw7rswcrbi; o bxsurn on the Olympic bobsled track is not constant, but increases upward from the hk2 4sg c r:sr7dc( lk;:.xbi2.w obswborizontal. 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 object moving around a circular path to han7eto7 : rnuhzu9 gq*;ve both centripeto:zn e; u9qrh7ut *7gnal and tangential acceleration?

  The gravitational force betwevo:iiku(ar7pl* mq9+gt2 l x4 en two objects is proportional to

  The gravitational force between two objects is inversely proportiona5q.;)v,pmq . d twc a51ukhptfl to

  Two objects attract each other gravitationall,.hq rk t3smb7y. If the distance between their centers is cut in half, the gravitational fhbq37 ,sk.mrt orce

  Two objects, with masses;6 a/iuoy6aum,s;f dq iye9 4o $m_{1}$ 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 v prx/51.*3 zn8yyw 0b zqajtj$m_{1}$ 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 unimqb-n,(vzeu,u *e2ecp z 6ntn) bwc5-versal gravitation.

  Compared to its mass on the Earth, the mab)st2a 7xw t9nss of an object on the Moon is

  The acceleration of gnwc/5b k.rocjm+4rks 7l yl,ad w70t4 ravity on the Moon is one-sixth what it is on Earth. An object of m.rls 7wlocn,m/5j4dy 0k k +rtw4cba7 ass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves awajbws). ptvj91hvb0f5 y from the Earth's surface, the rocket's weight

  A spaceship is traveling tv 1fnz bps-rf-cc 7l)8o the Moon. At what point is it beyond the pull of Earth's grav 8z-bnf-sl71c cr p)vfity?

  Suppose a satellite were orbiting the Eartgkj4vm1gjo0 l-i7;f7 ufkce 8h just above the surface. What is its c4c kv0k - fuj8mg7 ofg;1j7elientripetal acceleration?

  A hypothetical planet has a maqhh5w4 ipc4 vk yj x.fm0/1s)nss of half that of the Earth and a radius of twice that of the Earth. What iswq/csfh p y.)4jknih1xm4 05v the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on h i)-w()zqvxa the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is th(wa)v qzh x)-ie Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has twice the radius ydt 6+-cvua+hd e5e0gqb q12eof planet A. If planet A has mass m, what is the mass of plan+h 2de-qa ugc510yd+qbee vt6et B?

  Two planets have the same surface gravity, but pfbumnu3 r+a3* d2vgxnq0tj, 5oc*fh4lanet B has twice the mass of planet A. If planet A has radius r, what is the raduo4,b*0r 3 n v5n3 fua*mh jx2qfg+tcdius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) apbrg wd8t na8di 1f42i8)4wcnbout a spherical planet (w82 fcrb dnd)8g w841in tpia4mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in p .( 9oi+pgx;em;oixw the same orbit. Co p( giexp; 9;wx.oi+mompare the two satellite's speeds.

  A person is standing on a scale in an elevator accelerating downward. Compqhbpi4 e)-gt(k)p ;xrare te)kpthb4p ;x -i( r)gqhe reading on the scale to the person's true weight.

  Who was the first person to realize thele0/h jcw84o 8yz4j vat the planets move in elliptical paths around tej/0wovlh8 y48 4cze jhe Sun?

  The speed of Halley's Comet, while trmv(8ewd,wb/ e5p)gc(3 k qd/uipc8p y aveling in its elliptical orbit around the Sunmedbigde)8qu(w /,w c 8k5/vpp pc (3y,

  Let the average orbital radius ofsv.2n: :87.2byphmo,b5x ny yq tffvu a planet be R. Let the orbital period be T. What quantitbnoxq2.vh2yf5yfm8 ns:yp.7vbu: , t y is constant for all planets orbiting the Sun?

  A planet is discovered to orjg/2wt ha 5r91popc)ibit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that s ip hp59gc1 o/)ajwtr2tar 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 "astronomical u v+zb/ *j7 en0/( pbor1kwgaktnit" (AU). An asteroid orbits the Sun ing j1+(ka rb*tvp0nb/kzo /w7e one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws. p3bbhtkact l c,f5+w3i(a ec9))e *zp

  List the four fundamental for4 ye2djv(b ftetw3.4 p0g j1;cbwv :voces in nature.

  An object moves with a constant speed of 3z o0pmco 1+) droe/to50 m/s on a circular track of radius 150 m. What is the acceleration of ther1ctom)z5ed/ +op oo 0 object?

  The maximum speed around a level curve is za b u13h-wp5vb./qp vwwq2 w730.0 km/h. What is the maximum speed around a curve with twice tu/baph w735vvww2wq.b p q 1z-he radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter 1ec:4sor .nj) iud. j fqk,;cdof a bicycle wheel of diameter 70 cm when the bike i,jiqe)1cod n .s.druckf4: ; js moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m fromzii7e( 2,;qps1;ki4;l xmfdzdtp mqswo6 n;( the axis. What is the centripetal ac 26e z,(;pqm(;4 iifp7zo ws kdsl nd;;1mitqxceleration?

  How many revolutions per minute must a circular, rotating space station of radif4f7yvt*lunf-l 7w2wd , urw5 us 1000 m rotate to produce an artificial gravity of 75w ,wldl7 r uvnfuyf-t2*w4f$9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 1 xdh 38 l* c-;occ1fhyi6( szmqf/x6or3.7 m radius turn at 96.5 km/h. What is the centripetal force o-c m61c8sl; ch*ioh6foxfxq rz(/ dy3n the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m si ov3uj w/d1lp.s03w oq,fxx 7tring. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is t/qwpo7wojif , x0v3xd.3lu1she maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong srz wus w/,17 9snkalj7tring and whirled in a vertical circle of radius r. At the exrssknu z,wa wl17/7j9 act top 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 stone, of mass m, is attached to a strong string and whirled ihb9m4vk t3 rv:n a vertical circle of radius r. At the exact bottot mrh4bvv: k93m 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 4gs:3 pe o:3 fu.x7qcewl when pulling out of the dive. What is the radius of curvature of the loop :3qxc .s f ol3ewe:up7in which the plane is flying?

  A pilot makes an outside vertical loop (in whigzp i( ac,81rwch the center of the loop is beneath him) of radius 3200 m. At thcw(z 8ripg1a ,e top of his loop he is 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 about seven times his weight. yhpe ;kns8rcchh (c*pnc,3 qw1e- m0un7,z2 p What is the minimum h 10(*rc ;2q mcphpnsweeyz3 ,kp 8hcnu7 -,cnradius 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 mt (kt.ktx fbfv l6uy-shw3 (1*/s rounds an 80-m radius horizontal curve with the tires on the verge of slipping. How fast can this car round a second curve of radius 32h * tsufxf(l. tw(k1yvb3t-k6 0 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 k(zd uhj z;(4i50 m with a speed of 20 m/s. The centi( uzk(jdh4z ;ripetal 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 r*,1x-dun3d lh,esbl badius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and,31*d,lludhb- ns x be the road for the car to make the turn?

  A car is moving with a constant speed v*qn)xbhlzpnkh3 aju xs+4 6-aa1j ,2b 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 to stay on the rhzs412kahqal,)u- a+xbj bn 6 *n 3jpxoad?

  What minimum banking angle is required for an Olympic bobsled to negotiate a 17 gqea5/a(k,mgzv u 83lbvwx) 00-m radius turn at 35 m/s, 5bwe73x/ vamg v8aq )lzg(uk without skidding? (Ignore friction.)

  A horizontal curve on a bobsled r: 6r9:fp1*qy 8agadw 4 1 lfszppowpb5un 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, banked at an angle ofjf/,xe0e7mif3c0 mj 6xx8xj v $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 mh6i0pnwrlnt :*zi7 +0 )ce vox 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 stringu;ux/: sgdyevpo3+y - is revolving uniformly in a horizontal circle of radius 0eoup ;v/-gd:y+ y3xs u.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 a uni3i l) z8yy 2)nydcmldp sso+.6form 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 in the blan lds2 n 3szycylm i+p)6d.o8y)ks)
(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 protac cm3l*hkb5cdm l5 ,on r6s)1on 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 gravitationxz,k ck,0) 1vwmz/.x lhu. ifhal force on a 70-kg person standing on the Earth, due to the Moon? The ,kmfxv)/huc0,.kz1w z.xl ih 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 c,sclb-xyy-m*k*ap)between two masses is F. If the masses are moved to half of their initial dis* -xk a)*mc s-ycly,pbtance, what is the gravitational attractive force?

  For a spacecraft going f4uoqasi o rrf4q7rlt,uy 8au24): xsav1 6b )brom the Earth toward the Sun, at what distance from the Eao2f1sur 7,ru: lbvru8yaqt6sb a 4ai 4xo) )q4rth will 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 is b5 :bmiw/, lky$7.4 \times 10^{22} \; kg$ 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 Earbp syl/zve -9xx ;r(6lth equal to the radius of the Earth. What is her accelexp-;lvb (96zxse /yrlration due to gravity?

  The radius of the Earth is R. At wt c fnb99ux1x5hat distance above the Earth's surface will the accele1xn9utbf59 c xration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3jtc.o ommi61ohq6 *3 w.d nbw; times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of1d bqo m;nwh to3w6. .6mjoc*i Mars, is

  At a distance of 14000 km from some 1.yj/im;ri ss planet's center, the acceleration of gravity ;r/1yj.ms sii is $32 \; m/s^2$. 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 radij/(bhe(ij8e 3p4no ;muaagx 2us r. If the object is raised to ae jpj xn2iae;ug4a ((8m/bo h3 height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kgqbjugpf uus/- 5.gc- 6 person change when he goes from sea level tf5b6usguqc ./j- -gpu o an altitude of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A suya :n w6-aoa1k-vqt) atellite of mass 100 kg is at a point 3r above the Earth's surface. What is the satellite'qo va --na:ay6 tw)k1us weight?

  A spherically symmetric planet has four times the Earth's mass 3.hr xbc7 2raeand twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it w eb7c3a.h rxr2eigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all li (5 lgkd;r* zs7h+nhdse on the same line, with th7rk;nh 5dz g*(l sd+hse Earth between 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 transported to the My/p( .c sgb3b-eay1-yur jq.coon.
(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 th:rr uza5 0ghpz ) 4rtcnt7z2bvp.6j+m e Earth (i.e., it just skims the surface of the Earth). What 40t57zru)zp.tarjr v g:mz+ hb 6cp2nis 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 o; kzs89:iuawp rbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one r;s 9:w azku8ipevolution around the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orztt8 +n/nlt :m/s6wgo)wn9 b xbit 230 km above the surface of the Earth. It is observed to have a period of 89 min. xzb68 wttt//n:og +)nwln9ms What is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupy+8iv5azre 5j k-b8pqiter, 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 icoa;ns*8w1 ge;chbu0n 5qq. 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 orbital radius re vy5tl.(/ w7o ns3zg+nu7bbf, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbu7 n y+os7vgl(5.3bbfw/zetn it. How long does it take moon B to complete an orbit?

  The planet Jupiter is x e +f3on5k7ke$7.78 \times 10^{11} \; m$ 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-te2 c k k9i6n;ri4m z;ja6qxb is the average distance from Jupiterq-kine6i ;c2j rxt ka4;mbz 69 to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)