Is it possible for an object moving with a constant sp.0m36n3ylfe3 nvhsuvg d ;f/ qeed to accelerate? Explain.e/ nh.f 33 ysdl;f6n0 qvm3vgu

  Consider a particle moving with constant sosyl m6w 1-e7jpeed such that its acceleration of constant magnitude is always perpendj17 - w6eysolmicular to its velocity.

  An object moves in a circular patf(9sm8fr )4fd t 0vqxtws5*q th at a constant speed. Compare the direction of the object's velocity and accelera4tfvs8strfwf q *(5dq)xm0t9 tion vectors.

  When an object experiences uniform circurpu+ew44-u w nlar motion, the direction of the acceleuer+ 44uwp-w nration is

  Consider a particle moving with constant speed such that its acceleration of coae,9+picyp s(0fox i*nstant magnitude is always perpendicular toi px*+yis9c f(0,paeo its velocity.

  What type of acceleratisliw: d2qgcp -4p 89vyon does an object moving with constant speed in a circular pvg-q9 wsd c8:4i 2plypath experience?

  What force is needed to make l 2(teas(aqn-an object move in a circle?

  When an object experiences uniform circu*- jz:zhjvs/ dlar motion, the direction of the net fors- /dhzz*: jjvce is

  A roller coaster car is on a track that forms a circular loop inylh2:ez- h3oi d c7p;z the vertical plane. If the car is to just maintain contact with track at the top of the - hz;7:i dlhzeo3pyc2loop, 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 (rad.dn, b*)1ne c r8ob8( 58tyty yqfefxoius = r) in the vertical plane. If the car is to just maintain contact with the tracfexy(b8r*,fdt . bq1y5ocny t)o88n ek at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows 3x1+o, guqlv(2kklofa semi-circular arc until it is going stru2kf+qkx l(l g,o o13vaight up. 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 zep lnfyxou de00 7(0t;j*hed4b/o h. 2wyi; bof 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 speed v. /7j:a5gp)( zjdad num7 xgt8h 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 thzxjhn77) u:pda8jd/atg 5(m ge second time, compared to the first time?

  A car goes around a curve of radius r at a constant spezr ngnvdvd78fi -* ,6yed 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 second curve, comvn- *dyvd7ni,gz 8 6rfpared to the first?

  A car of mass m goes around a bang : 9qlyko7u)cked curve of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the 79:o)c kyulg qcurve if the horizontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a 3yx 3 k)9aanhlv05 lqxbobsled run are banked at the same angle, but one has twice the radius of the other. The)v alx5xay nh 0339lqk 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 tm.egzf ixv1q a9/iqu :ej r7:5rack 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 oj1uq.gq9i:7 rm/:eavfz i5 xef the turn. Why do they do this?

  Is it possible for an object moving around a cirvci/ dpwb6 s6-cular path to have both centripetal and tangentw 6civd6ps/ -bial acceleration?

  The gravitational force between two objects yg+.tcb6;j j*t;fn j :gpbm8wis proportional to

  The gravitational force between two objects is inversely proportional yvkr)dwf**6molm-9 -b ja b.eto

  Two objects attract each other gravitationas4axdwf.* xshjbyz0 sqn-8dw ; i.81illy. If the distance between their cente*x.z jq4wi-d sa 0.w8hyx18sifdns;b rs is cut in half, the gravitational force

  Two objects, with masm*0 pxfq8 r9sases $m_{1}$ 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 massx;xn4h gemy 5*fqxk .*es $m_{1}$ 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 grsmz) dgeq;)r s*blc2 m;dafe:/a a s0x 4v9pj;avitation.

  Compared to its mass on the Earth, the mass of an object on the Mojn,wd9) ;ajl byo;lc *on is

  The acceleration of gravity on t(yo ph1* 26 jsilppt3vhe Moon is one-sixth what it is on Earth. An object of maspo3 p(2pt 6*hjyv 1isls
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth(m4cg 9wnmc-9bd lu .t's surface, the rocket's weight

  A spaceship is traveling to the Mo(exra+/hmc - ;:vgng lon. At what point is it beyond the pull of Earca;vemxg l- :r+/ghn (th's gravity?

  Suppose a satellite were orbiting the Earth just above the surface. What is its,om 00js/y rxt centr 0jts myx0/,oripetal acceleration?

  A hypothetical planet has a mass of half thw )),o)fst4mj1 zosqpat of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms w1o,ps zsjmft4)q ) o)of g, the acceleration due to gravity at the Earth?

  The acceleration of vte+u-r/d4 f pgravity on the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What ir /u +-4pedvfts the Moon's mass compared to the Earth's?

  Two planets have the same surface gravit ocmiqpy gsj4zap3-8 p:r8z6 (y, but planet B has twice the radius of planet A. If plan p-mpog8:q 6rp 3szyzcia(j48et A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planetjz-0bb,awn 1 l B has twice the mass of planet A. If planet A has radius r, what is the radius of p0jnbz 1b-, wlalanet B?

  Consider a small satellit 5q8iq r 6f;ov4racb*pe moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gir 4;68oqb5rfp av *qcives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rothju t4s7z45t6dru ut1ates in the same orbit. Compare the two satellitet15us4 thdt7u4 ruz6 j's speeds.

  A person is standing on a scale in an elevato0 4ak a7nde doeu:ku64 s*v1kft(jp)w r accelerating downward. Compare the reading on the scale to tjvu 061 wd)7 nefsda*4:ukkk p(t4oeahe person's true weight.

  Who was the first person to realize that the plan mm;4t ld7+dsoets move in elliptical paths around the Sun? 7mst od4;dl+m

  The speed of Halley's Comet, while tra y,as h 86aelo*5z.yseveling in its elliptical orbit around the Sun6e8.,*e hl sszyay5 oa,

  Let the average orbital radius of a planet be R. Let the orbh( n;dj8oo *mtww (f +m y,nhn4x+.wwyital period be T. What quantity is constant for all planets orbiting the Su+n .fm(m*jyto8;,hww (dynwn xoh w+4n?

  A planet is discovered to orbitex f jrhdk*;5lx89b9u 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 of our Sun, what will the period of revolution of that new planet be, co drexhlb;k9uj8f95* xmpared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one ub2 z ved86p) ;qf6bko"astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Su vpq8fo6uzed2b;)k6b n?

State Kepler's laws.e:n2d/ ; lys5(:2k7mfz nkxuv2jpvol

  List the four fundamenta7 .j-hvi;6ajx na0b5d- yny lql forces in nature.

  An object moves with a c72v9ckyp ux0zl 6rhm-josn. 8wx,b+;v g2kzgonstant speed of 30 m/s on a circular track of radius 150 m. What is the acg0s + zbvc7l69zgh, xoykmjn2rx.-2pw; k8uvceleration of the object?

  The maximum speed aro8 wo:mmn*lw r9und a level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors rema 9 now*rwl8:mmin unchanged.)

  What is the centripetal accelerp.pa.9ev57mhn ps7 kmation of a point on the perimeter of a bicycle wheelshpm7km.ve5a .pp 7n9 of diameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5wiiql + v5+1ie.00 rev/s is located 0.200 m from the axis. What viiw ++ li5qe1is the centripetal acceleration?

  How many revolutions per minute must a circular, rotmaylr,ta zq5:/ hq7tcb y57g1ating space station of radius 1000 m rotate tzg/r ht1:t7 ,5cq7l5abmyyq ao produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass*s2vabzt y6z 1xp yy.5 of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motorcyclea tzsb yxy* zyp61.2v5?

  A 0.50-kg mass is attached to the end of a 1.0-m9 ugnewq8itg2s/ *hy9 string. The system is whirled in a horizontal circular path. If the maximum tension that the stq/wnts i8*g2eh 9y g9uring 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 whirlmhnffl(2)hp)fe ln ):(p ;chere-wz/ed in a vertical circle of radius r. At the exact top of the path tn)fh )pwf ep f:zcr/he)el2 ;lm-h(n (he 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 attachem t l,c7,u,:yb;jitrpd to a strong string and whirled in a vertical circle of radius r. At the exa,bruj ,:m;ltt pi, 7cyct 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/3,znl m- xszb2i, 8erqs experiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loobz328 l,,nm-x z eqsirp in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop is benea+mtc 9 qqg0/x6 qnw2pqth him) of radius 3200 m. At the top of his loop he is pushing down on his seat with only one-half of his norm0 m9nq/p+gcqqx 26w tqal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weight. Whqw iq. 3f*g(6jcoy8tz at is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, cf*jw.c 63tzo8(ygi q qan tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the; )sh 8 m g)muza:/v(hze6qzxn tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficient of frq( ))me saz6z8x:/v gzmh;unhiction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m2 vr0k4e,j3 gxamaz *g with a speed of 20 m/s. The centrip ,er3 mv20k *agxaj4gzetal 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 xu *onnu(3pu*mn6.r-9r xunot l7s- qspeed of 14 m/s. What must be the minimum coefficient of friction be o r6tnr-. nuxpl3oxq *nuu7 9m-u(sn*tween the tires and the road for the car to make the turn?

  A car is moving with a constant tdm+f3t ;b( n g5mwx)qspeed v around a level curve. The coefficient of friction between the tires ag5 ;x) (dw3f tnqmb+tmnd 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 required for an Olympic bobsled7l1cr f y1ow f zijnriy8q68+3an7k5h to negotiate a 100-m radius turn at 35 m/s without skidding? y jozia7n i+f8w18cf715r k6lyqn hr3(Ignore friction.)

  A horizontal curve on a -j-b6r /txb n8zg6ygwbobsled 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, banked at an u7;upjq(og*2sjb6y rjrq8 4r angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked atg, c k/,rjy+ij $45^{\circ}$. 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 7m,gt+l yf4r1o iyfb wxy/m1:string is revolving uniformly in a horizontal circle of radius 0.500 bl 17r oif,mx14y gtyw:fm+/y
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 a mm b-4k5h+dprrea, a race car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track+kd h5mmpb4r- 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 ayc18 +ri)7jutb-tvpg+um,c b 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 gravitatio8ixwkvfc e2ef35--(woh 6p:d tju 1sx nal force on a 70-kg person standing on the Earth, due to the Moon? uhj3wwt1-x5vc fexk- o6e(8:fs pi2d 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. If the masses are g fveq2nz 0(fm 8 wr48 qq*w;q-lrznm7moved to half of their initial distance, what is the grzm(8 f q-z*47qw8rnflrme0g 2n q;qwvavitational attractive force?

  For a spacecraft going from 7daw3y0/ n kji0:2hpt dekw8 nthe Earth toward the Sun, at what distance from the Earth will the gravitational forces due to the Sun andae2 3 diwykn0hw8dtp: n kj70/ 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 d kesloue8zz /j: )5l*$7.4 \times 10^{22} \; kg$ 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-waly().hhpf z(qglfi8o 0k" at a distance above the Earth equal to the radius of the Earth. What is her acceleration due thgfy). 0 fqzl((o ph8io gravity?

  The radius of the Eartu8;* f3d,x1s / .jih4;wfsoswh hatlkh is R. At what distance above the Earth's surface will the accx*tf3; asj148sk,h s h;ih of. u/wwdleleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance abotmo.k(eo v4bl.jwe1-zrde r.q b-r. 7ve its surface equal to 3 times the radius of Mars. The accel e7z1 r.o4kj e o. t.r-vr-.qwlebm(bderation of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km w5 te/-f ,eyzsfrom some planet's center, the acceleration of gravitye ewfs5z /-yt, 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 o:;pd juv5ya 0hn4dj yi3p34 xcn the surface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is its w;d4pjj:ycdna u 0 yv i43h5p3xeight?

  By how many newtons dm + +qqntq - ozhz6)vdctz0(0toes the weight of a 100-kg person change when he goes from sea level to an altitude (60 zqc-z nmv)+qzd t0htqo+tof 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 kg is (.7nrwc;fjcv .1 mqo oat a point 3r above the Earth's surface. What is th.(1v.o qn fcc7j;row me satellite's weight?

  A spherically symmetric planet has fou1av :, b msr(2prtp9e,cn(efsr 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 of thip2 p:see c,(m9a, nsbv(trr f1s planet?

  During a lunar eclipse, 2 sav+coma/f( the Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon haf vo(m2c a+s/as 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 transport ,thdf *asm:4ui83lwo k2e /tqed 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 skims thhe- co2(1/ u3dpcxwr pv/oyz-e surface of the Earth). What is the speed of the satellite? (The mean -1o2z( pdr 3poxc//yvwce- h uradius 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 s. pkki;5el oo.c zm4)i1 j( wo-ubpu-bkims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radius of the Earth o c .bu-1.up)kol5bijk(i; -mzpow4e is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of xz5azk( t 7erj327ilm,2 qbd qthe Earth. It is observed to have a pe2e aj3r(z q7mx, zk5q tb7ild2riod of 89 min. What is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, 80h jeubgv299g+m:i* i kpxaf 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 orbits thes;v . xbak-5f 1txwq4w 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. Mfozq zs,q ms41 nr66q9j kh:d-oon A has orbital radius r, and moon B has orbital radius 4r. Moon A takshjq qsk 6n m6o 1:zzqrdf-4,9es 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is1+ -jl+9hcln fcy,fs eguat0* $7.78 \times 10^{11} \; m$ 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 on1y 7e6( uowmdbce. What is the average distance from Jupiter to the Sun? (The distance fro17m y6bue dwo(m the Earth to the Sun is $1.5 \times 10^{11} \; m$.)