Is it possible for an object moving with a constaj k z/f-hp3fiy +u*i,unt speed to accelerate? Explain.pzhf,3i*uy ji-f /ku +

  Consider a particle moving with constant speed such that its accelera- mkcubt36q c)tion of constant magnitude is always perpendicb u)3k qcct-6mular to its velocity.

  An object moves in a circular path at a ya2qeuj./fzp x3y/ ,a constant speed. Compare the direction of tp ujyf ya, .x//z23eqahe object's velocity and acceleration vectors.

  When an object experiences uniform circular motion, the direction of therf.0w+q9lkliqh6 ygcl/o 3 o : acceleration:i+ oly6.rhw0 3l/f 9q ocgqkl is

  Consider a particle moving with constant speed such that its acceleration o/x v5z cq4f*,b fci2wif constant magnitude is aci fxzcf4b*q 2v5, wi/lways perpendicular to its velocity.

  What type of acceleration does an obl2x5,i3wr6 ba fnp5de ject moving with constant speed in a circular pathn26,3x5l bdwep 5afir experience?

  What force is needed to make an object , (,puub 4cwlumove in a circle?

  When an object experiences uniform circular motion, the direction/t)0csd5 ;(kzy,7oiraefmt u 95 ejqi of the net force q, e stak557)cet;ii fz/ 0my(odjru9is

  A roller coaster car is on a track that forms a circular loop in the vertb;:sv 8:zq cqaical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimuz;sa:vc b:8q qm value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms agjl.s t,f9c4 d13f2;zbaomg; gzpnx: circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the track ag.z4 g9 2,f fbjxm ;1g;dpocn zatls3:t the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circulac) w/ /s n)to(vplml+ir arc until it is going straight up. Just as the plane is at its lowest point, the force on him iscs)mv /i pt l(owl/+n)

  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 radic3 b pky6ziuzbthc g1059ab( 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 cons,5rh8fiq:9 u.)lhum,a rd v2eiwr:he tant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal fv825 hlif :,u:.rh ,rwa) eiure9 qhmdorce 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 radius r at atw,v0fmvm 6/ b nsrbc:()h/8y9uj twz constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal forcec6 v9)/(, vtw8t0yur fmh:/jn bzm bsw 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 r with speed v. If the roacev +m)1w5ec gd is frictionless due to ice, the car can still negotiate the curve if the hcw5m+e )cgev 1orizontal 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 samekn l3(wa olq8: angle, but one has twice the radius of the other. The safe spl( q kon3:8lwaeed (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 bo8qrtc1; (yoji2l- bj l6ys3h ubsled track is not constant, but increases upward from the horizontal. Ci(6u8b1-r jt hocl3q ; 2ylyjsoming 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 have bot 3/h2e6j;c zxx n:qaa.zez)1qbwf 3jeh centripetal and te)za eqx hnqczxz.ja/13 6 3fwebj;2 :angential acceleration?

  The gravitational fo+r4b5bywqksii:vz 1 )rce between two objects is proportional to

  The gravitational force between two objects is inu lxv* b.w.y4yversely proportional to

  Two objects attract each05-l- pn9axks;qpw5 o4zvdh ,kj u(b i other gravitationally. If the distance between their centers is cut in hax545;a(hlzp9i- nowkpdbsk 0,jq- u vlf, the gravitational force

  Two objects, with masse)xj,urov 3 yge ipd1/; voq*(x+7)hysmb ppe-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 mas+8u tmpj(b:qnses $m_{1}$ 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 gravittfv.vw 2pp.812wld v iation.

  Compared to its mass on the Earth, the mass of an object2g kyk5 zlrslfp.xu8ji)(q.-h*9qb 1sae 5 gs on the Moon is

  The acceleration of gravity on thekk*sjo ma78wx1 c4q7y Moon is one-sixth what it is on Earth. An object of massocw7 j qy718axkk4s m*
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rond.dvl1 /fh;o cket's weight

  A spaceship is traveling to the Moon. A+uh7d:9wx7fo wh.l gzt what point is it beyond the pull of Earth's gravi7uz +f .xodlh7 9hgww:ty?

  Suppose a satellite were orbiting the Eag+ 0vte;dw 7mprth just above the surface. What is its centripetal accelerap;+wd 0vemtg 7tion?

  A hypothetical planet has a mass of half that of the Earth -t:l9qyn uh,feyis8f 1 ,1wmu so w42sand 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 n98:fystmhu2iw-ew fuq,4 1s ,y s1lothe Earth?

  The acceleration of gravity on the Mo 9qtm0-6 hthtvon 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 comparv9tqh- t mt6h0ed to the Earth's?

  Two planets have the same surface gravitje 3+kxvdjp(p4m xq:9g0ctow9ye0 3m y, but planet B has twice the radius of planet0c3xq eyxmge ojdj:94(p3vp +k 90 twm A. If planet A has mass m, what is the mass of planet B?

  Two planets have the same sulom(h2b9 ogb (rface gravity, but planet B has twice the mass of planet A. If pl(92gh ob( omblanet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radiusc ftx3e 82 j ( 39iri3kcxcp1+nrezhz7 r) about a spherical planet (mass M). Which expression gives this satellite's orbital veloci+ 3 7hje3rc91283t xiinczxr( zcf epkty?

  Satellite A has twice the mass of satellite B, and 29v 5cei0rrbg rotates in the same orbit. Compare t 0i bc9rer52gvhe two satellite's speeds.

  A person is standing on a scale in an elevator accelerating downwfboom1 ytxx/5bf6-,y ard. Compare the reading on the scale to the person's txoy6fb1 -/xym,bf o5true weight.

  Who was the first person to realize tha-e :ux1xq3-4gr ch9 hyr((ltglyjx/d t the planets move in elliptical paths around tqey9hl(cl / jug1trx(y3x4r x--dg h:he Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit arou(k kwe6l.i( huq5rp)and the awpuh (q lk().6eirk5Sun,

  Let the average orbital radikaq;g ab:/ u1vtq 9+yeus of a planet be R. Let the orbital period be T. What quant v:qqauak+;/y1bt9ge ity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, wieatrrvcdft-7 5 uf4pe9y j+b5*xh1c /th 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 orbital period?-f/evt pf14udrj yxtb 9 hera7*5 5+cc

  The average distance from the Earth to t etli,fh 6/(zns2qi)z(hl +ifhe Sun is defined as one "astronomical unit" (AU). An asteroid orbits the ih( fl6if/ ,h( zts+lienzq 2)Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.pfrngvbb.y 3:76i5) bh(i maru zk +(o

  List the four fundamental foztjvtv ,anqw4i::1udw ,7 : czrces in nature.

  An object moves with a coh fbxgi p g31ly o;4-,y6ljyi8nstant speed of 30 m/s on a circular track of radius 150 m. What is the accelerationg,if1y-jl8byig o3l h y ;6xp4 of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximumk dgxvi- q8mt i(w9p9. speed around a cuvw8 tdp(ik9 m .-xg9qirve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal accelerationg1k z v0 gz0c4;s.oxga of a point on the perimeter of a bicycle wheel of diameter 70 cm ko0a0vzgxc.s 41 g;z gwhen the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located0 dc f;bwmh0n; cwnp;, 0.200 m from the axis. What is the centripetal acceleratif nc;p w;bh,0m0w ;dcnon?

  How many revolutions per mj t k5) k6vbw/.r(dlkwinute must a circular, rotating space station of radius 1000 m rotate to produce an artificial gra5 kw(6tdvkkj)wb l.r /vity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turn at 8fl u p+qw(d) c4uikeflt2:2h96.5 km/h. W(+w2fi)fe tq2p4hld: uk uc 8lhat is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-mgvpfn(tic.5 r c78 j7e9*.nyg hqv+v m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 35m8(vn vcqci 7.. 5yt9pgn 7rv*jgh+ef0 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 vertical+gnl vh+ r+a mx6x,z;cz:r k(l 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 sr(k+ zz xgalm h6rcx:+nlv,+;peed at this point is given by

  A stone, of mass m, is attachedm y1cd4cg1vjhi-,i f, 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 stod1v c,i1- jhmy cg4,ifne's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s 6 iabdqz l9k8f1 w1fro9e/cm/experiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature9fo1mld8abfw/ekr/6 1 c9qiz of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in w1z k0ickd/qppvhv tk1 y59)d )hich the center of the loop is beneath him) of ra)z9d1pv/h) kq 50ip1kcv ktdydius 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 about seven timy ym0 7gr1m6+ rvtvl(8*wzxszes his weight. What is the minimum radius of curvature 7mv*ys r(wrzz60 m +y x8lvt1gthat 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 roundr/md).qlq l a2s an 80-m radius horizontal curve with the tires on the vermq/ld) .rq2lage 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 surface.)

  A car is negotiating a flat curve of radius 50 m with a speed ofotr,o0itf l a*e2be*t+ b35tc 20 m/s. The centripetal force provided by fr0il,b 3ot ft +*ro tce2bt5ae*iction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flaay(ox0o f q3f9t curve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of ao(offqx0y 93 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 level curve. The coefficient qqfo(w6 eb4)r snr ;k)of friction between the tires and the road is 0n qo q;)fsre)wr(4k 6b.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 1q h *3fnau/xwan Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skifax3 q1nw /hu*dding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at a v hd ggn3r1ia (gy2qc 18a*-bj$45^{\circ}$ 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, bankcb9zry/bat (.d s3 2wm px*el9 .sbmo.ed at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m i;g7ajx8 yt7y u2-mspo s 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 unintk(n4)mh znj6 k0 z 4rd5ev6wformly in a horizontal circle of radium6jzt(4zw vn4 0ker6 5n )nkdhs 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 at fg7 mzocco.*iy3a *g;a uniform 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 blanks) c fcg.m*yoz*gai o;37
(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 of mazo7 7j.ijx7u*5 lmwe bss $1.67 \times 10^{-27} \; kg$ 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 7e (;bvl8eca -y0-kg person standing on the Earth, due to the Mooec; (bvyel- 8an? 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 8 h2./3csitdvk t ld5xa,ti1 dmasses are moved to half of their initial distance, what is the gravitationals3.d8 hc d2v dl/1 ,ittk5tixa attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance from the )8is-1)o:lu 5ueveqoenq s1b+, ocywEarth will the gravitational forces due to -qs18e )y,qlvos1cieneou : b5uw+o) 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 k ;) ayrhdf/)f$7.4 \times 10^{22} \; kg$ 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 equal to ga)l0 mr6ka :ethe radius of the Earta :k )0re6glamh. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surfatkhmp:5 eq 39ece will the accelerat3te :qh ke9p5mion of gravity be $4.9 \; m/s^2$?

  A satellite encirclef)z0p(si)+.l lwe s 6.pvo yffs Mars at a distance above its surface equal to 3 times the radius of Mars. The acceler . f pzo)lyel60+fpss(.w)fivation of 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 centez3ej/l4n 6u mbr, the acceleration of gravity iunb z4/jml 63es $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N pfmd, a67*jl4qsy e9w9c ih7p on the surface of the Earth. The Earth has radius r. If the obj6 dpfhc s,m7qypaj94w9l 7ei*ect is raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change when he goet9 :sr kuyhl**s from sea level to an altitude of 5000 m? (The mean radius of the tsrul k*h: *9yEarth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at a point 3r a;wl est* 9rvw/bove the Earth' es9tl;v wrw/*s surface. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass anddu+ bek0j 9-zk twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would-zb0+ 9kujde k it weigh on the surface of this planet?

  During a lunar eclipsecho)-qdrwf)/r qu.4 n , the Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a mudqh/nf)- q4 wcr o.r)ass 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 Moov)u bb0d ( hy+8s4 savf)8l/qrnui 1rqn.
(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 orbi :.ykc+nufs7 pt about the Earth (i.e., it just skims the surface of the Earth). What is the speed oyfp. c+uk :n7sf the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular obflz25 ( kq)di3f;jcamv 8x1 prbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radius of the Earth isx bl a3izpd5q;c v2(mffkj)8 1 $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of the Earth. adx2u fy0 co1p2 (;z) bqapk fpfha69+It is observed to have a period of 89 min. What is the mass of the Earth? (The mean radius of the Eay ;xahf2oup 9pqdf+( 6)bcakzp20fa1rth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter of2j9jvwh/ gji o)ek2 /f $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits the planet with a radiu 65fp ht;x)k4 svtit3fs of $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planet iawc7 w;4i8.gk+umd 9 fptvz-in nearly circular orbits. Moon A has orbital radius r, and moon B4-8f d g z7av.c wwt9i;ikum+p has orbital 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 t14om r+iiq9 7tl mmo: h7zdlt7gid )9$7.78 \times 10^{11} \; m$ 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 isi6fxw7dsex 7 ;nxbo6/ the average distance from Jupiter to the Sun? (The distance from7/x d;ws66ei xnfb7xo the Earth to the Sun is $1.5 \times 10^{11} \; m$.)