Is it possible for an objectjjmo)fx +8- nx moving with a constant speed to accelerate? Explain.fxx onj)8m +j-

  Consider a particle moving with constant speed such that its accelerati dho6.cvqj*; ron of constant m ov.dr;q*chj 6agnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the b546awq 6/toxfm+cbt direction ofxtmaf5o q/b4bt 66c w+ the object's velocity and acceleration vectors.

  When an object experiences uniform circular motii5ni8 *djy9yc w-x4jq on, the direction of the accelerati* cwji5di4 qn98yxj-y on is

  Consider a particle moving with constant speed such that its accelera4,ycku kfix54d fh 6:vtion of constant magnitude is always perpendiculacu ifykk 4xv6d5,h4:f r to its velocity.

  What type of accelerr8rf8.t ebozxx+)9p c ation does an object moving with constant speed in a circular path expetfx cep9o r8z).8+r bxrience?

  What force is needed to make an object b 2nnd/gbp1tv:au4fc/d oe)6 move in a circle?

  When an object experiences uniform circular motiong15 i 7f9nji niioo3 8vlnv6y1, the direction of the net forc5 i8 il97i3i y11o6nvojnnvgfe is

  A roller coaster car is on a track that 6ua9/y6u vuaie, a.hiy8:,on t (hznxforms a circular loop in the vertical plane. If the car is to just main y,a:aho8/ teuyhu, vi66 an n(.xz9uitain 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 tracka0 wnffba du ;j5mr/xc:ssl9a 8ze3 45 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 th/85u;m 4xa:dfr sab 3ne95wf 0czjlsae minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circulc mx rq dgjr0h)ir 182c)/t6zhar arc until it is going straight up. Just as the plane is at its lowest point, the force og6i)rjh m1h)/x crrq20dt 8zc n 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 cur ,t3q .so*b.f- tttfkchww:4e ve of 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. 9f*cmt ca**2cp3p g2 wjem*hl Then it goes around the same curve at half of the original speed. What is the centripetal force on thjp*w g9* 2hc3am* fcml tpec*2e car as it goes around the curve for the second time, compared to the first time?

  A car goes around a curve of radius r at a constant speed v. Then it goes arou wmovf9(3;bsv8f*)duqabh7/ di t1o mnd a curve of radius 2r at speed 2v. What is the centripetal force on the car as itafb fi)mqb;vmost (dd1 *v 7/uow893h goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius r with speeg:sc -y prulp d5m+p8s(o r)(cd v. If the road is frictionless due to ice, the car can stil 8p(:s p -cspc)dougm5y+rrl( l 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 on a bobsled run are banked at the)sjf ) )ipy *wuh ,8gj+b8pgnv same angle, but one has twice the radius of 8 fwpjunj*h 8bg,y g)) +vpsi)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 x /xg-is *ae)y7vf- le5ymgg6is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will e sy-elyaivg g7)5m*xx6 g/f- 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 centrm*pqibe z1w4 yg:w :)jipetal and tangential accele:bqw:gj*m) 4y p wzi1eration?

  The gravitational force between two objects is proportio. 9)4ilmk: fpi1usbcynal to

  The gravitational force between two objects is iw .aw.wkd )gcd6+4tcdnversely proportional to

  Two objects attract each other gravitationally. If the di(n5zdkwhd0:(* y 9/2o;y rwj5kxx u)j uchnnq stance between their centers is cut in half, the gravitati 92u5kwz(oxnk/ *jwq50d(n: ju) ;n yx rchyhdonal force

  Two objects, with masse5,3uq3lv7q1 ym bh jtmq1 fmq:s $m_{1}$ 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 mass.lfs;46ezhb 6rjw5w 6mj5s bd 6yuo4ies $m_{1}$ 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 univerz4r6o)3evsv 9za1vb asal gravitation.

  Compared to its mass on the Earthkgn . /q.dob 5vgxyb:gv s0ja781kxr;, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Eaun i **tpc.mq4rth. An obje.* *qicmpu t4nct 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 we2k *vv5+9oifa:loa px ight

  A spaceship is traveling to the Moon. At what point is it beyond the pull-;rq ;xtsv3v o of Earth3;sv r-;vtox q's gravity?

  Suppose a satellite were orbiting the Earth jusv,kaii3r5 xev 77cs-ct above the surface. What is its centripetal acceleraxskr c,7i a3 vie5-7cvtion?

  A hypothetical planet has a mass of half that of the Earth and a radius7 2nw 6e mt d8brj)sep)kj0sw+ of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration du8wbs60 sj+ ) pkm j)7eend2wtre to gravity at the Earth?

  The acceleration of 5+m snq)y/x rsgravity on the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass comparemr /sxn +)q5syd to the Earth's?

  Two planets have the same surface gtlrnx(*:uz* ;o 7.ozhn3cdvn r7j(bkq ;rb z6ravity, but planet B has twice the radius of planet A. If planzrvjnzno :nx7 l;*(.hb k r t6u*rd;c7(z3boqet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has :xdw5 u t /j4qzynu(i8twice the mass of planet A. If planewytz:iu x u5q(/d n84jt A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) ab/, qk1hujz : yhap/h)nout a spherical planet (mass M). Which exprez /ypqkj:u/,hhh) an1ssion gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellitesz - 13xpqv f)k0no*iz.na:ysj9 3gfe30uqix B, and rotates in the same orbit. Compare the twofzi )k30fs-0*x3yv9qgp:u xijzn3e oa1n q.s satellite's speeds.

  A person is standing on a scalan 40 p oddvi(tmc97zfp085eu e in an elevator accelerating downward. Compare the reading on the scale to th z 0c5i0d d94u7t8nveppf(a moe person's true weight.

  Who was the first person to realize that the p,16qnh)3z xp mo+ ibhklanets move in elliptical paths around the Sukzx b1ihn+m3 pqh),o 6n?

  The speed of Halley's Comet, while traveling f-co.2co cx, zf5ijborvo4(l0ixef-gc v+, *in its elliptical orbit around the Sunf,v.r,50e 4x(c2flo c i*izcjcox+b-gfvoo-,

  Let the average orbital radius of a plank:wxb-5bz+ab fye0h 7et be R. Let the orbital period be T. What quantity is constant for all planets orbiting +-f5xhbw7 zk :eab0by the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, wyvx9:+ xj-ffru;)25) .w zstfte gfdm ith the same orbital diameter as the E2u)xjt;v f-)xtr:.f 5f9g+df y wmsezarth 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 orbital period?

  The average distance from the Earth to the Sun is defined as one "astronoj3uatr r-j 4qlo ,j,o8mical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average d, rjj4oq3j- rlu,o a8tistance from the Sun?

State Kepler's laws.v7gf/ x uo/;3 m5nixww

  List the four fundamental foyc(8 gv:0ib/qda 72qww s+gi grces in nature.

  An object moves with a constant speed /m / lt7c4wywtof 30 m/s on a circular track of radius 150 m. What ist y/w74mcl t/w the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximumagdcdob)-ctys)xm6 b( u qg7)ir*hds+ c. 05o speed around a curve with twice the radius? (Assume all other factors obs5r - .ctus6x(gd c*yda +bq0o7d))ih) cmg remain unchanged.)

  What is the centripetal acceyk ljbal7 :(,fleration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike i(ya,bkll7j : fs moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is locatg -e;t s1wk,sded 0.200 m from the axis. What is the centripetal acceleration?e dst,- ;swgk1

  How many revolutions per minute mu tfjbghzxo a828 --:zust a circular, rotating space station of radius 1000 m rotate to produce an artificial gr-oz:gzu 8xjha8 2-t bfavity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius tu6jil mb4 md/,grn at 96.5 km/h. What l4j, m/bmd6igis the centripetal force on the motorcycle?

  A 0.50-kg mass is attachetyaa tfv06 9(pj5jty )d to the end of a 1.0-m string. The system is whirled in a horizontal circular path. If thj9tjf t5tyv)aa 60y p(e 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 attached to a strong string and whirled in a veqr.n7 x3q b1a4ro ayc2rtical 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 1a7 b3.4 o2nqcaqrryxis given by

  A stone, of mass m, is attached to a strong strih wq zlb.,e:v1ng 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 w: hv1,zqbl we.eight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pudm +e/0lqf. 2rmoct i:lling out of the dive. What is the radius of curvature of the loop in which the plane is flyingm2mftil o0d+ :.r /qce?

  A pilot makes an outside vertical loop (in which the center of the loop is ben lnpu 8pb 23o2ib+k wg-0qvr1reath him) of radius 3200 m. v0bnr 3-gp1 kl+o8iu rb wq2p2 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 about seven tiloho n(5*7ak: lg f6x 2hk/hwdmes his weight. What is the minimum radius of curvature that a hk6 o/nlw7g2afhhd5*x okl (: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 horizontal curve with the t+qudzv: (k )s5opi ke,uu6xi0ires on the verge of slippikxopz, u d)+s iu e(q650u:kving. How fast 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 negotiating2 1f4 f nx5dkh.tew(3, kkgcid a flat curve of radius 50 m with a speed of 20 m/s. The centripetal force provided by fr ie21,.x(kkfcftddgw kh45n 3 iction 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 must bafas,f gv n:3r8).ofu e the minimum coefficient of friction between the tires and the road for the car f)v:no ff 8 ra.g,ua3sto make the turn?

  A car is moving with b d1o9.j jm;o1z) g: m5df0jr+htakbra constant 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 to stjdodbaj khjr mtgrbz:15+;1)f 90o m .ay on the road?

  What minimum banking angle is required for a99*mfb 4pup 5*g0j-g6 w p yyme6xigngn Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Igpmp6 *w jy*egf56ymui-x4 g9ggpn0b9nore friction.)

  A horizontal curve on a bobsled run is banked ac ,*+haoq7tx 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,/kp.) d :d /oue5 pzpnetrn. vbm.m/y) banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 808 +mi :k46boaiuzt - kbw6cu fgm,3-df m 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 ofll-/nh: dl )ik a string is revolving uniformly in a horizontal circl:l-/idnl klh )e of 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, ajnv 0 -yxoj0z)j+ bhm5 race car accelerates at a uniform rate to a+5v-zoj) by jx0jhn0m 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 consists of a proton sz5nca5q4 -pkof 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 onnfx3- fh.c rwrz5)j- 4l x2e mufll:zh(c8r4n a 70-kg person standing on the Earth, due to the Moon? The mass)f2lx-.fcx 4cflru nzjm5h:ln hr rz e8 43-w( 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 j5 ,njb2 ry,ccmoved to half of their initial dcnc2j ,yjr5b ,istance, what is the gravitational attractive force?

  For a spacecraft going from the Earth t+oashj-ji(t1 uk l w)5oward the Sun, at what distance from the Earth will the gravitatioj)u(+tw s j-ilakh1 5onal 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 isa)g,8l 2 .ndvf+mm bk0t 3e2x v.xdtvr $7.4 \times 10^{22} \; kg$ 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 equh8 4ha.fy khk ,hl7+viok)y2e al to the radius of the Earth. What is her acceleratiki. fhkv 4yo,)2haey87 lh+hk on due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surface will 7w c4 ik ouf az6me1:g+qimoby 1t1:6vthe acceleration of gr:+tz6gi6ya1: me mub w71i1fo ckq o4vavity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surf2,b0 :+. yf1q nflhan 6rpvcjnace equal to 3 times the radius of Mars. The acceleration ofb qnnrvf.n 2 6:+yal10 pcfjh, 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 cenu 2zqsgi3b11 1+avjenter, the acceleration of gravity is11g12jin z3eu v+sqa b $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surfaypcd383uk: nace of the Earth. The Earth has radius r. If the object is raised to a height of 3r 33y uca:8dnk pabove the Earth's surface, what is its weight?

  By how many newtons does the weight f2e7lolqv2 j 7,zs -fwof a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean jf7ql 27f2lweoz,s v-radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is :zrfy 48v4jrbq(:vk2 :p n)l a ebf5atat a point 3r above the Earth's surface. Whaz)vr:4 r8j4y(bq :a lae:2 ptffbkv 5nt is the satellite's weight?

  A spherically symmetrp 5/uw (;: l4ky3lgzx,tiio mzic planet has four 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 weig 4 ;z /yzt3pom, (l:u5iglwxikh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie ondl/* q/o4pr yj the same line, with the Earth between the Moon and the Sun. The Moon has a mr*q yp //dolj4ass 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 transportedpvtscr.g .4ub +l/+ol 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 km,mmut 9gx.n71a/ dv the surface of the Earth). What is the speed of the satellite? (The mean radius of1.m7x k,gvumad t/ mn9 the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it just skims the m7fbeqd+lnryy fd )3.*v z,fnon568b 7;sblesurface of the Earth). How long does it take to make ,m3zn ferby6n7oe ; )8 7fbyfvnll d+bqs5*.done revolution 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 is ont zjq9h0j/jhe7k8 k+ bserved thzj k qe+t8/9jhk70n jo have a period 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, has an orbital diamejjwq gc1 ubt) sd+bh,v )onc/f0y 429xter 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 with a radius of hqt +i.vw.7 pd$422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planet in near 9jn3rn; ndtuhj/j;v, buatq ,awq.8/ly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How ,,8h 3 jjb tauvtn;/ ;qdn.w9nj/ uqarlong does it take moon B to complete an orbit?

  The planet Jupiter i1r)mr 6b6stl x8rm.muwacp8 1 s $7.78 \times 10^{11} \; m$ 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 avw u 8gzcci;gzlg)7f 5xb988ul erage distance from Jupiter to the Sun? (The distance from the Eartgzug7c8)l5g w 8;89 cb ufzxlih to the Sun is $1.5 \times 10^{11} \; m$.)