Is it possible for an object moving with a constant speed to acceler 0 g(j8t/ 6(zanpyc:lq;rtnjde 4uuc5w/y c7cate? Explain08; c /nd4u6g zeyqpy jcr/t(j:wt nula (c5c7.

  Consider a particle moving 6n( ioj(, 0vol)2 euk uwo1jfddxxd; ,with constant speed such that its acceleration of constant magnitude is always perpendi;j6f0d,lndx du (12 o wujxv(eoo),ikcular to its velocity.

  An object moves in a circular path at a constant speed. Compare the a 3e cvjis; g86//2srkrj.hsqt5ip h0direction of the obj/rr s8i2e0 qjh6kta p/s3ig5hj.c ;svect's velocity and acceleration vectors.

  When an object experien.pck9oi bvp6e8xg3 8z+ ak p)nces uniform circular motion, the direction of the acceleration i.p9cb8 eong) ki6+3z pk pavx8s

  Consider a particle moving with constant s dz+zdb:mgvuygr3 8ip -w0;7jpeed such that its acceleration of constant magnitude is always 0jd7p zd-r 8:vgu +bim3gwy;zperpendicular to its velocity.

  What type of acceleration does an object irw vkgl,.lpwt; ,cx42xbw+5 moving with constant speed in a circular pathkxg.xtl+r w,, cwvi4bw ;p 52l experience?

  What force is needed to make an object move nw63 f .kp6d-u.jzeuiin a circle?

  When an object experiences uniieyusln.- -7cform circular motion, the direction of the net forecn syli-7. u-ce is

  A roller coaster car is on ahnv f2/k g5sw- 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 centripetal acceleration at t-25/k wv shnfghis point?

  A roller coaster car (mass = M) is on a track th*zl*bvl 3d .viat 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 value for its speed at that pointdv3b i *z.*llv?

  A pilot executes a vertical dive then follow5r6cxq*h h6s dmwuh,l)e9 q h9s a semi-circular arc until it is going straight up. Just as the plane is at its low h*hwdhlx )q5se 9c66uh9rm,qest 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 radd; m1 +t,aptypius $r$ 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 c 7cibi 0xk8kavd) o,9yonstant speed v. Then it goes arounyakbio c89, vi7kd0x) d 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 second time, compared to the first time?

  A car goes around a curve of raa g5t wq6j7jaovp:m;6dius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the cea6; goj76 mq: vajtp5wntripetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a bank .*0l hlafpjh9rnz j80ed curve of radius r with speed v. If the road is frictionless due to ice, the car can stiphlj0hla9f0.* n zj8 rll 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 same angle, e58ujuazu5g ; but one has twice tgua; 85juu ez5he radius 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 thz hhg8t m p*1pm02fzw8e Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobz2g*h8 8pth mwzfpm10sled 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 circulasx:47 7uj;nqd ly oqi/r path to have both centripetal and tangenqjq ldi:/ so;7x7u y4ntial acceleration?

  The gravitational force bbero8.*.qqqblybr 1k ph i55-etween two objects is proportional to

  The gravitational force between k/)h fpkl,.h+fnzcb) .8kidqth q4y w*n h 5:ktwo objects is inversely proportional to

  Two objects attract each other gravitational/t(c;nu j35ojcp+yrvb t5cv)ly. If the distance between their centers is cut in half, the gravitvb+ptc( yj/rj nv53 o uc5c);tational force

  Two objects, with may:+qtr xf : /pkx.biaux* kwz6zd6.3jsses $m_{1}$ 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 maspzkwjzy8lug -e w .u7l;055dises $m_{1}$ 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 universal1 8l)bz *ilko3m* p-/+nusnk 0wjtw yk gravitation.

  Compared to its mass on the Earth, the mass of an object on the M4d3n 3px-m6f * 7iqxb eevbz 6oyv*l*coon is

  The acceleration of gravity on the Moon is one-sixth what it is on Ear.)ebu ausyp+9, u5etjth. An objecte uye.b9p+t ,)au 5jsu of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves awayu ypi )1 tc,/tqx f(/z3aui:al from the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what vdu5cdy rd+fqo1m-72 point is it beyond the pull of Earth's 5q1o7cd+d dm -fv2u rygravity?

  Suppose a satellite were orbiting the Earth just a f3 jn5 k0kvsoh5wil+.bove the surface. What is its centripetal accfjkl .55 o+0skwinhv3eleration?

  A hypothetical planet has a mass of half that of the E i56lmekyj zp dg-52; tqso97barth and a radius of twice that of the Earth. What is the acceleration due to gravity okl59dq t ;-si6pj2mbg7y e oz5n the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is uonv g3*i5m; uone-sixth what it is on Earth. The radius of the Moo vmun*io35u;gn is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravg;vj (*i lcipr r+q3y5ity, but planet B has twice the radius of planet A. If plajrr (;35 *liciyv q+gpnet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice the mass cldp9mkei nr qm.(,a 5q4t iw)wwn-o;4fi 9z)of planet A. If planet A has radius r, o)q;zmkiwat e d. n9q f4i )c45lwi-n rw,p9(mwhat is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a9o-khur3sk70 zkc6pen i+n 5 t spheric9 n0+ s7 5chikkz3rtuk6p no-eal planet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the sa 3o xpqap,kg)8me orbit. Compare the tp ,k8x qpoag)3wo satellite's speeds.

  A person is standing on a scale in an elevator accelerating downw sevf td- 9c20,o(nongard. Compare thngd e n2o9(ctosv ,-0fe reading on the scale to the person's true weight.

  Who was the first person to realize that the planets move i1 g 0:rhy 9)lffv.fxgzn elliptical paths around the Suxzf0v fl91yg )ghf :.rn?

  The speed of Halley'husmx dkop,6 r8uc -m:s.54uns Comet, while traveling in its elliptical orbit around the ouk mudxms.s8c ,:r5 4 pn6-uhSun,

  Let the average orbital radius of a planet be R. Let the orbital period bek6 w.2fyue.b6 nvgk5s T. What quantity is cos fknu.ewy.2 65g vbk6nstant for all planets orbiting the Sun?

  A planet is discovered to orbr,3g p-od0* n*rnhsxamc6sf 2it around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around ournps ,sfan *g6 3doc0mrrh* -2x 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 defz h 3xr qcp*x*tln/u4 2y0zhf)ined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's averagc0)f hht*l3ruyzq2xnp / z*x4 e distance from the Sun?

State Kepler's laws.ped4 um+dqr,cro62(n

  List the four fundamental forces in +cxvp3xiw(- b nature.

  An object moves with a constant spee,ec)e oga*a)7z o so8dd of 30 m/s on a circular track of radius 150 m. What is the az*7 8o )odg,s)coaeeacceleration of the object?

  The maximum speed around a level curve 9:kc:*)8b jgxkg ) towarz l6ais 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remag zol):8g*a9atw6 k)rx:kjbc in unchanged.)

  What is the centripetal acceler 4dn 6wn jvnep3 sf,;mfr*0st,ation of a point on the perimeter of a bicycle wheel of diameter 70 cm when n; v*mft,3e0p6s4,wf j dsnrnthe bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from thtvmr6x/w. s(4pf p1ky e axis. What is the centripetal acce vpxfmsr /4k 1wt.6yp(leration?

  How many revolutions per minutc)3/tuy1crrl sk49x;nc s p uw3rq90 pe must a circular, rotating space station of radius 1000 m rotatqsr 0 l1 crxw nur9cst3upp)c /;k43y9e to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass fs2xss o2+6*s ni. wnrof 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h.nfoi srxns2w s6* 2.+s What is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the ,q x+x7xqjk.mmy;omep7 wa hh)mq23* end of a 1.0-m string. The system is whirled in a horizontal cijy +,q*2 mo m;xx.kx 7hqwmqpmahe)73rcular 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 atj 8/v1xewnue,l2m 3 hatached 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 speedm218xj ,nw3ael eh /vu at this point is given by

  A stone, of mass m, is attached to a stroni0(zwn2r3fkhcf ,c,lp n c3q0g 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 ston3zwnlpf30 r ncf , qkic2,(0hce's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4d 8)fw8cyq+2)n te33n8 1orghwpy j exg when pulling out of the dive. What is the radius of curvature of the loop in which the plane is flyingf)ch8dnexer +j3g88pw y3tq now1 )2y?

  A pilot makes an outside vertical loop (in whr flx-ff4btars9h0b00f 8 yd48kjl )qich the center of the loop is beneath him) of radius 3200 m. At tlh tfda0bk8bj0 94 sf0f- yrq4lrx)f8he 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 w0c4i d4 68swjk, vh5b5txkk1yxfq )tteight. What is the minimum radius of curvature that a jet plane's pilot, h84v ti tjk,xq45 wkfx5b 6 k1ydtsc0)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 radivq;og-r4eyv3bz+pa, okej dn1o0 .v0us horizontal curve with the tires on the verge of slipping. 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 sudzyo p+ qboe3v ov.j0g0r4,e1-nv a ;krface.)

  A car is negotiating a flat curve of radius 50 ;w2o/wi(z:gei gf3y hm with a speed of 20 m/s. The centripetal forc/ogigezf2yh3(:w wi; e 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 mc jcs9(..12gy ed,wbcxab wh+ at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for (c wd.bj+bcacyg,h1s2. we9x the car to make the turn?

  A car is moving with a constant speed v around a level curve. The coefficient o.w/xmwp5 2siiik5t6tot :s) yf fr5t6k i5.ity2wo)px s/:t msiw iction 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 road?

  What minimum banking angle is required for an Olympic ;un0uu w gsw)7x i62uw:ef. slbobsled to negotiate a 100-m radius turn at 35 m/s without skiddiu:ei6;w.w ) 2nuf7 uwsu gxls0ng? (Ignore friction.)

  A horizontal curve on a bobsled run is banri *a z7jlp*kx +cwk frjkpl2,/89z. cked 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 ang3glz)k jmg g8 /ig.ti/le of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80,3nf-v2 1yetawb8t lp 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 of a string is revolving uniformly in a horizop; :jas6qiz ;9yu9 ngbntal circle of r qugi;:bzn9a 6;sy9j padius 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 ccalg4n/ i t60y. o5elat a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fillcta /05olgel. 4i6y nc 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 y3qky i6lx)7v 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 gravitation+hs zqn4vahc ).jeh 54al force on a 70-kg person standing on the Earth, due to the Moon? The mass of the Mo.hq4j+4vz e )hs ha5ncon 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 mko35glpi ); eie ec- orv4-d.tdu 2cx-asses are moved to half of their inid eixc-elde32c54- .k;t po ioguv )r-tial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward td8zv 7wd;sqn/he Sun, at what distance from the Earth will the gravitational forces due to the Sun and the s/ qz7wdv8nd;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 Moonr 9dc)qb16zh.pv w zd5d5 cts+ is $7.4 \times 10^{22} \; kg$ 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 Evg*yu1s e; daw e:8aw9arth equal to the radius of the Earth. What is her acc w v89a saeew;:*gud1yeleration due to gravity?

  The radius of the Earth is R. At what distance above the Eartsw7 +)9d knlubs4, s h:qyg*oth's surface will the accbugqy9:d4 sn)lk,s7* t o+hsweleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 times the ;rch s;i4 t-ksradius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surkh-r;is t;4csface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleration ofgcz0aeuy ( gg0xu:1b 4 gravity iucgb0 g:a4(g x01uyezs $32 \; m/s^2$. 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(t7xy uqz(l ;digqq18rno 3+h Earth has radius r. If the object is raised to a height of 3r aonq3 rq8gidq+(xht ; ( lz1yu7bove the Earth's surface, what is its weight?

  By how many newtons does thm bo qn8vl*2x2e weight of a 100-kg person change when he goes from sea2no xlqbv*2 8m level to an altitude of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r.szr2 /b,)4g0i xsv 5m2 sxgpus A satellite of mass 100 kg is at a point 3r above the Earth's surface. What is spmi zs2 gx0v xg5r,4)s2/ubsthe satellite's weight?

  A spherically symmetric planet has four t0uct; p0w*0 yq/eomunimes 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 u0pmeytn;q/u 0co0w *would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earta gv iz9p9ymj v9(d.7+lnp)u k6l :gsih, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has i:zvjk p +m7 dsu.ygn6l l a9)99pv(iga 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 ijfrfabt.l-3d(r7 4cis transported 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 the v e1th5bw 9sq;/1yr0qg, for hsurface of the Ehr01q, ; sw5g9/1voq ftb yrhearth). What is 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 orbit about the Earth (i.e., it 9kmcfx.3xj,+x4, 7kv dgwjlljust skims the surface of the Earth). How long does it take to make one revolution aroung d jk+ w9kx,x, v3lc7.jm4lxfd the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circulahmw5;m/ zs,kaq5w iw :r orbit 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of ta/:5qmzkh5w mwsi,w ;he Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an ori e4mkgqapglw 8 279m8bital 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 Jub+a1+jwkprq k p*38erpiter 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 ha -tom jn2ol z::c;x6sbg2m ;ajs orbital radius r, and moon B has orbita 2l2z 6c- ;mgjaxomo::;bs ntjl radius 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 ukryub/ p-j.;$7.78 \times 10^{11} \; m$ 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 avera 6we8fda:6kiuo*l6 aqs n3 2by,g4nyyge distance from Jupiter to the Sun? (The distance from the Earth to the s 36yad2i:ow 6,lybqy8gakf*n e6u4nSun is $1.5 \times 10^{11} \; m$.)