Is it possible for an object moving with a constan3pjypb9v 2/46efhe zka7ik2q t speed to accelerate? Explaink k2y hf3 peae2/94v7q ip6jzb.

  Consider a particle moving with constantfitu xp0d r03pf: u:/9luhga) speed such that its acceleration of constant magnitude is always perpendicular to its veloci: ia/f)p htflrdpg:0u 03 ux9uty.

  An object moves in a c fy9rm2a)sxhf:* 1idp ircular path at a constant speed. Compare the direction of the object's velocity and accelera2p mhy 9xrafd f*si1:)tion vectors.

  When an object experiences uniform circular motion, the direction of the acce.4 yppcmjwn))))sgmcleratm)gnsm cyp j.w)p)) 4cion is

  Consider a particle moving with constant speed such that its acceleratduicjeal,g e ha+3z4+l .) rr:ion of constant magnitude:lzjr4l)aidhr. e+uc+ ,gae 3 is always perpendicular to its velocity.

  What type of acceleration does an object moving with constant sv yd:xizx1u6c a61zw.peed in a circular pathy 1zx6 xiv uzd:c1a.w6 experience?

  What force is needed to make an object pz8cu dz0zxon4v 2(8jmove in a circle?

  When an object experiences uniform circular motion, the dig-fit,3jeiln ifx9(oj 95 yd)rection of the net force is n,(39 i oyf59 diijtl-xgf)je

  A roller coaster car is on a trwyhfg;e6r( ns2t0g h 8ack that forms a circular loop in the vertical plane. If the car is to just maintain contaygs (tr80w 2neh6gh;f ct 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 lcvoxvs:,i ,6circular loop (radius = r) in the vertical plane. If the car is to just ma 6 ,:,ioxslvcvintain contact 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 d3xy0fxgvf3: v ive then follows a semi-circular arc until it is going straight up. Just as the planeyxx v03f vf:g3 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 radi-vsq-riigf o9qc tr +:xb.v)0us $r$ 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 1ram7 n k67wb1e hm18 csk*iyrit goes around the same curve at half of the original speed. What is the centripetal force on the car 77ikr nsb yreah1m1k*c8w 1 m6as it goes around the curve for the second time, compared to the first time?

  A car goes around a curve o10r:f+qq wyfxs3pv7k f radius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the c+7fwkvq3xq:ys p1f r0entripetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius 4cibssd3,iwh7nx+rvfkh,lh 76k i c 18t1yw+r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal componkc , h xhi+h ns6v17+1wlc3kw8db, rtiy7f4sient of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are band(/ vjqiy,/mf ked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for thid /(fm, q/vyje 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 iuj:( 8pzbt)wc gy 17h rx*et(ps not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will inten*zceu)g pxt pyrb7t( wh1j8(:tionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an ob7 26ubiuh,w da*zzi v-0e e1agject moving around a circular path to have both centripetal and tangenvihea6 a bi1d7uz2e*w0,g u- ztial acceleration?

  The gravitational force between two objects is proportionjw/f mnif.ez8*5s63tht 3rms f 7zz+mal to

  The gravitational force betw)ja 6,a yg 9( u,ewxsk:b;vfldeen two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance bej r -ry wogs5(n4ln.6bj ho8z7tween their centers is ch r8orgjsnw-j 6oyz n7l4 (5b.ut in half, the gravitational force

  Two objects, with masbz6t,(9a hm* wcvd ugrpb5u/)sd 4bo1ses $m_{1}$ 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 masseh:9 c-h cwwtl*s $m_{1}$ 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 gra 9x szk2/aujv.vitation.

  Compared to its mass olvpsev+szqfi5sj/h1)b 1-+ 4hj lj7un the Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. pz(9k ei es1ey1pm xdgvi1o6q2g32 4l An object of massi4 evlzp 1eko61 dpg92 21my s3g(ixeq
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 we6kmi. je.(.g lo (snimight

  A spaceship is traveling to the Moon. At what )b.j lhpx 8rxm1ut+ :e29uevvpoint is it beyond the pull of Earth'lu92.re t b:1meuj + p)xvvxh8s gravity?

  Suppose a satellite werza3 x *i-9len k gt8ke-il;c:y-fgq 3ye orbiting the Earth just above the surface. What is its centri eey- g:3zkafit-- l *in;x3cg8yl9kq petal acceleration?

  A hypothetical planet has a mass of half that of the Eart8 *vvi 6-yunf,. .rum jr3mdcch and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at *-vvry ,i.u8 du.jcrnfmc36 mthe Earth?

  The acceleration of gravity on tn w7 *kylluxm1iy1bj, kq+r-*he Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that oxb1 q,mri+*nlkyjuw 1-k ly* 7f the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravifzjh20c /cs e+(go ml9ty, but planet B has twice the radius of planet A. e+s/o 0(2 l mcjfgh9zc If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice the massuz)b-d; :hdii of planet A. If planet A has radius r, what is the radius ofdb ) ihiz;-u:d planet B?

  Consider a small satellite moving s)w1/)m9 :e)iy ha8gxg dzitrin a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbi1)8: i yxa9 g mwd))ihgzsret/tal velocity?

  Satellite A has twice the mass of satellnxxon18gqfg+3 m 58q-fr( hqb;cqk8(c f 7vmkite B, and rotates in the same orbit. Compare the two satellite's s8 nc+m5 -v gff;18fk(7xngxq 8mboqkc3hqq(rpeeds.

  A person is standing on a scale in an elevator accelerating doc,jzv)l vzh3p bpc t3x) yusi 27.re(/wnward. Compare the reading on the scale to the person')./(litshv ) zpc,yuev2j 37b pczx3rs true weight.

  Who was the first person to realize that the planets move in elliptical pathu()xagj.m 6+z m bq(45c9yc ve1ruuqjs around ammc + v6459)xz 1.yq(quruuje(gcb jthe Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit al*kkyu1 10o 9mcyyenbwn4 4xt-t,:ps round the ok -wxctyls*04y ut1 m1enkypnb ,:49Sun,

  Let the average orbital rae y*u(y b9f+hhdius of a planet be R. Let the orbital period be T. What quantityeh *yf(9+yu bh is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a s 8h m0nleh0wv8itr03vtar 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 of revolution of that new planet be, compared to the Earth's 0vni t 8l0hh03rv8wmeorbital period?

  The average distance from the Earth to the Sun is defined as one )q 4 0kh2c 4y bg7lonouj;ygm5"astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What hl5gog kunqy44by); 0o2 7mjcis the asteroid's average distance from the Sun?

State Kepler's laws.6*cv-x(qa/ qr7zat wu

  List the four fundamental w3i iv+5gaskw5-43 cvs sis r;forces in nature.

  An object moves with a constant speed of 30 m/s on a circula ; d j p 0,;t;.mqoenuv0g7imnuedy:x/r track of radius 150 m.0v qoin.,td;upj;:de0geum / n 7xmy; What is the acceleration of the object?

  The maximum speed around a level curve is 3drsn).3/lbj3/q zmew d a 7eq10.0 km/h. What is the maximum speed around a curve with wql a) sr3enqd .mj3e/bd/z71twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration ofi5 b)rz9sp g(1g7t jhd a point on the perimeter of a bicycle wheel of diameter 70 cm w (jd9gpi)btz r7 1sgh5hen the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axish xmt(;/i:b k*b p3fcg. What is the centripetal acceleratio:(*xbt gmcpf ih/ k;3bn?

  How many revolutions per minute must a circular, rotating space s0w.fs 7q8o mt0aqh3z station of radius 1000 m rotate to produce an art smo.f0w8 q7qsth 03zaificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It gq25lm pnv kdux6 +kca*f),+aw6v ei0eoes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal fov6x)e,qaclmi a0w62u*+kfnd+p5 k verce on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.c c dm18t)7xymg 4gx.u0-m string. The system is whirled in a horizont g8u.)dyxx mcc1tg4m 7al circular path. 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 attca pg/7x 0yv3oached 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 poinc /o3ypgxva 07t is given by

  A stone, of mass m, is attacemh3 qact6cu* ut-0 w1hed to a strong string and whirled 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 stone's sp6t*mc3etauh0 c-1 wqueed at this point is given by

  A jet plane flying 600 m/s experiences an acceleyr2.ap t9ky7iea7 u0l ration of 4g when pulling out of the dive. Whi7t yy9r k.702elau apat is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (19zb1u+ 0:eswn bhqx qsx/5j fin which the center of the loop is beneath him)fx jsbs1x+q0he w1bq:u 59/nz of radius 3200 m. At the 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 ab,v a) xd8 avvpbkajvb54s 3 ihj+151zeout seven times his weight. What is the minimum p j4jsa5ax 8bikb5d1 eva v+1v,)v 3hzradius 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 an 80-m radius hvy,jf y1 -q7o*c-r,da1a mfn korizontal curve with the tires on the verge of slipping. How fast can this car round ao* n,,1qckray1fmvj7da yf-- 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 ostagb;h0-p 3 yv2)whrf radius 50 m with a speed of 20 m/s. The cents ;ybhhgvt-0 3pw) ra2ripetal 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 a speed of 14 m/s. What e 0swwa482wjwzva t57 dn *5wjmust be the minitnezw w7w5wdva wja s 4j285*0mum 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 levelfw qj-sw5o- j fgy1-p2 curve. The coefficient of friction betwws wo-qfjgpy-j21f - 5een the tires and the road is 0.40. What is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is req +g .sud8rk3azuired for an Olympic bobsled to negotiate a 100-m radius tur. 83+urd gszkan at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at z4znixv;u0d7w2p/c f 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 curve17*h ki /dpc ji w31wuq45crbw 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 bav *0s0 -5kxfl,p1)l af fmmcqhnked 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 thes*+ju ibexfxrg)2(4 * .k wuli end of a string is revolving uniformly in a horizontal circle of r*l2 uwb sej. i4+xgu i*f)x(rkadius 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 rx5bhx.je5h, . d- vj.cgb1dr uace car accelerates at a uniform rate to a ev5h .j.,-udg15hx. brxcjdb speed of 45 m/s in 15 s, moving on a circular 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 consistsr. tz8 v5d(czl 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 perso i0u qvl(dh)p,p-9g mgn standing on the Earth, due to the Mm q(pgvhgl)d9 i,0up- oon? 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 between two masses is F j/hn54rc/:co1 apbap. If the masses are moved to nhajc cp5pbr1/a:4/o half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what dis*wx qmw; 0rp0ntance from the Earth will the gravitational forces due to the Sun and the E0 w;npr0mx w*qarth 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 ispussqb 48 uk8-ps9r9k $7.4 \times 10^{22} \; kg$ 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 iyacp-o li874l53g poabove the Earth equal to the radius 4o8il7-pi 3ya5oplgcof the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R.5j b0lc)weoi c1az*5b At what distance above the Earth's surface will the acceleration of grj5 0iwalb c5b)ez*1 coavity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 timj 8 -h*jjutcefn/ g33yes the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface oj*3t 3cjj f h-g8yue/nf Mars, is

  At a distance of 14000 km from some planet's center, the acceleration of gw kw(q12yj zjyzj7lx.x(a 4cq1y 36tfn3(twt ravity wfay(c2lx1y .kj(46z qtqtw7yj31 x3jtw( zn is $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432y8(s 8xv:gquizzq piss*, iha*d, ,2 d N on the surface of the Earth. The Earth has radius r. If the object is raisedsi 8:v 8,sgz hd**,yaqqu i 2sxpzi,(d to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100hb0 m/gpu/jd3 -kg person change when he goes from sea level to an altitude of 5000 m? (The mea0/hudpm j/3gbn radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satell91wmhjij(e. 3ne f;l vite of mass 100 kg is at a point 3r above the Earth's surfacewemenf9 lv; j1hi3j. (. What is the satellite's weight?

  A spherically symmetric planet has fo63 ldrli)fv vhs x m;7/rs6o,our times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface ofsolr;x l),m 3 6vosi6rhd/v7f this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the sam0 grj5sy**rh4f m4iw ee line, with the Earg efwrjy4h4i*rm *05sth 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 +c:vt0y+s vq2;u4e;qdjykmfm 4ma ,p 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., it9 )o zqrznw/w6 just skims the surface of the Earth). What is the speed of the satel6oqz/znwr) 9 wlite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it just s5 ;mw rk-; pjb*oem/ 3yuob+prov1z9tkims the surface of the Earth). How long does it take to make one revolution around the Earth? (The wptruv j5;o;or1zymm k+9e - 3*bpb/omean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above t27 6m f ;u-d7tdnekeibhe surface 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 E7 fkd m2b6nede;u-7ti arth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbit:3 ta74lq2c hrsfo4wp al 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 orbits the planet wi6s1ez(pr g; 1+glas2(: c 6uumj ypugkth 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 neq9 c ee+8q:zyu6;yc5 rcyos+yarly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4e+syc9yr; qz+co :y ey5cq 6u8r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter ij: pk8d6ff+o.t 1pdy ojiq1j9s $7.78 \times 10^{11} \; m$ 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 averagnf7h) khdmor ww:8/b3e distance from Jupiter to the Sbdwm7)f/ kn8ohhr: 3wun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)