Is it possible for an object moving with a constan;r t5lh: g p6m+jrlwg ju4;*tu.qpn,ct speed to accelerate? Explain. p :4w*5u,n g .c;qju mrlrhg;6t+tpjl

  Consider a particle moving with constant speed such that its acceler*)a,xx:.- 4gg 7iewvhjb ecdwation of constant magnitude is a)gvb ax*:-de wg.ce7,xji wh 4lways perpendicular to its velocity.

  An object moves in a circular path at a cv hq o:s;)8gl c;4b*gb0xndbsonstant speed. Compare the direction of the object's vel;8nsgl0 scq ogh)b*xb4 b; dv:ocity and acceleration vectors.

  When an object experiences uf wsny9 r4gp7d1u-/l sniform circular motion, the direction of the acceleration g4yp1 l/s- 9rsw7 nfudis

  Consider a particle moving with constant speed such xk o7 uyic0-*cthat its acceleration of constant magnitude is always perpendicular to itku*y7c - i0cxos velocity.

  What type of acceleration does an object moving with dqjv z lnxoz: 3ovv1qa:6t8*u 7 rf(6tconstant speed in a circular pathd7 (vjz uv6fnq:3aozoqtt6*x 81 rl:v experience?

  What force is needed to make an object moverdg:r m zk*02vkgoi5-pth4h4s ujr 0+ in a circle?

  When an object experiencstt 6mh+ ff-ae: ( bkh.*7xmrzes uniform circular motion, the direction of the net forceshz fmbth af: e76mxt-+*r.k( is

  A roller coaster car is on a track that forms a circularxa v.wd3ht y fs7+ nim;f:ri5j160p to loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, whar5nii0h7 p. o+tx6;a 3y1ffsmtdwvj: t is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms a circubr1+5f0fpgmgng7 ng, lar 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 thatn g0gf,g+5npm br 1gf7 point?

  A pilot executes a vertical dive then fp 1*hep zs(ju-ollows a semi-circular arc until it is going straight up. Just as the plane is at its lowest point, the force on him is*zp sp ue(j1h-

  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 ovuh7u besg;opwx8 4- ke+t .7if 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 cj)hag*zf0m11.zr v v:f 0uw mat a constant speed v. Then it goes around the same curve at .z0a)mcvgu0m: hvz*ffrw1j1 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 v/.08 g3yic z )81bwq st1zou)cqiccs vd/vt7curve of radius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as i i3tssc/)zz q1v .v1ub)v80o /cd cc87 gtyqwit 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 r(mbqjha3 ocz nk2.d2e+6i x3a oad is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal force on the car from the road is equal in magnit36bhm na j2daeix. zo q3+ck(2ude to

  Two horizontal curves on aj ja)n8x q)1qi bobsled run are banked 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 the smaller radius curve is v. What is theai1n)jj )q q8x safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is not constantx qeybt.6+3jf 3 ed kakca7+z9, but increases upward t e a3xy.j6qke fb+kd7c9+az3from the horizontal. Coming 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 bu*:u*b*v ++zlt4sabqmf od* moving around a circular path to have both centripetal and tangential accele* sf md b*ba+u:zo*l+vb4q *turation?

  The gravitational force between two objects is proportionm4n8/van8y :q:7ot xw* bx)dg td/kmlal to

  The gravitational force between two objectsisqz3 yj8l n2okr3 b,1 is inversely proportional to

  Two objects attract each mexg 3 sl*6bn:)a, bqmfn0n 5sother gravitationally. If the distance between their cente,ef6*lg03) s5 nm abbnmnq:x srs is cut in half, the gravitational force

  Two objects, with massesai 1o b.1ix+wj $m_{1}$ 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 masses x :+xlho l,q:y0c/ljr$m_{1}$ 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 universakssp ;xml(m4f h) xiz*3l;g; hl gravitation.

  Compared to its mass on tg9n6q dtx0svb*b ; 2drhe Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Eart 6gl(sdp. k5dlh. An object of p kd.l56(dlsg mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Ev/b3q3y su5 5vi gj;deyt8ug0arth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond thzxam)-qwdl ** e pull of Earth's*qmx zdw )*la- gravity?

  Suppose a satellite were orbo+ bkwz x09+wjenyo4 2iting the Earth just above the surface. What is its y2 x ek+4ozow jnb9+0wcentripetal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a rad1 bliz 8-e*gvmius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration du v1i-b8e z*lmge to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what bb7 wffq0.6cpit is on Earth. The radius of the Moon is one-fourth that of theq.06wpbf 7b fc Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has twice thc jzb(i9aq 7w; ;1s9p 6pirbwue radius of planet6i azu;1qrw9i 97bsjw ;bpc( p A. If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface grav b( i:-xgjqi1 k76ktmiity, but planet B has twice the mass of planet A. If planet A has radius rq(b:tmj1x67ii- gikk, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sphe bflk 6lj3ax2if w +;,l:6a:egpor+hnrical planet (mass M). Which expreg jlw;ean3i6hl +2 xpr+:lb 6:k,ff oassion gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, an wu 9cl,/zec/jd rotates in the same orbit. Compare the two satellite's s,wl/ zcce9/uj peeds.

  A person is standing on a scale in an elevator accelerating downward. mhv1m d012wb4krld1xCompare the reading on the scale to the pk11d dx 2vb r4w10mlhmerson's true weight.

  Who was the first person to realize that the planets+za ivfd;x x)gv,.6m w move in elliptical paths arovi)v.m gf6azdw x;+, xund the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit aroun+uvd 2v *;w *gfbonrebwk-d:++tu,st d the tb+guvvrw:+ u **-ewb,dd o2fnk t ;+sSun,

  Let the average orbital radius ousoz,f9u :w,,lpbbx r .f(-i tf a planet be R. Let the orbital period be T. What quantity is constant for all planets orbitbu,s it9ufoxb r,.,lzp:- ( wfing the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromedag 1edk7v(*eez vcrg04, 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 7r*c4gvzk0e e1dev(gmpared to the Earth's orbital period?

  The average distance from the Earth t, o-0exfw pg77bs:iqjo the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average dist7j-xe wp,0gibosf q7:ance from the Sun?

State Kepler's laws.cr, 9j64p:hx c68mkux, fgi ze

  List the four fundamental forces in nbyjt 27,ih x4gl3on9 u.wuwrj+ ; v(usature.

  An object moves with u v:ku2ud5ucm ;w4u)ra constant speed of 30 m/s on a circular track of radius 150dc u4v5u; )k uwrm2:uu m. What is the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximuh:k gpn3e9 meadgo2 ,p+ 50yejm speed around a curve with twice the radius? (Assume all o9npyd ,eme0a ko5p2 hjgg+e:3ther factors remain unchanged.)

  What is the centripetal acceleration of a point3n; rf. vx9fcvow ,l;z on the perimeter of a bicycle whewo;f,.f v l;3c xnrv9zel of diameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200bw-r 5gimw :/m m from the axis. What is thbw mri-g/5: wme centripetal acceleration?

  How many revolutions per minute must a circular, rotati- pk0 r9ujvy-0;6g ecokn7l8kufgr *a ng space station of radius 1000 m rotate to produce l*7 0k6 8;vryu -fok-0grpag cju9nekan artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radiabq-nlx o:cvom:9q dy9 )kr- 7us turn at 96.5 km/h. What is the centripetal force on themxk9d:voo9q n-r:y)a 7blc q- motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The systemuc ilpmy5:162/)c maqnf y1ld is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is thy1d)q nc a15 ul2pymm/i:lcf 6e maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whijo. t* ,i5kjykrled in a vertical circle of radius r. Ajt k.,5yijko *t 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 is given by

  A stone, of mass m, is attached to a strong string and whirled in a ver7kecs 9pod 2yz1 /9+ 0mqbmxufa76htdtical circle of radius r. At the exacttpkas e19dy0+9dch xqo 7 fmb27/6zum 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/s experiences an accpgofuw )7cwvt/ lok 8 ;e7pj(7eleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the e7pw)v/p o7;kcu8 w to g7jfl(plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loy7;zt,hojl9 i) p-+ dkxzb;dgop is beneath him) 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 goil gkz+tdd9;;i,jx7 hy z b-)opng?

  The maximum force a pilot can stand is about sevd8wktw+) 3k fven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 83)+fwtd kvkw250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curyzxxkyme*)r0,rru, tv,8/dj ve with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume them r,8rytj,xu/exdv0,rky z*) same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radi4rtfy74vjop;mvar 94 us 50 m with a speed of 20 m/s. The centripetal force provided b4 j;orf pvv49r74tam yy friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a fl*phi-gp )ebgguk )x t2 mz;,g5at curve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tiresm-;eg)5pbp)k 2iugh*g, gz tx and the road for the car to make the turn?

  A car is moving with a constant speed v arou xeu;(+)jlptnnd 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 stay on tn(+ulxj;pte )he road?

  What minimum banking angle is r:v- s*k8oy aj)ysuk8 lequired for an Olympic bobsled to negotiate a 100-m radius turn at yj:y8s)s*u kok lv-8 a35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at a wxa 0zifj 1.zj5+-e fp/ kif3z$45^{\circ}$ 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 angle of vd(ujr +j q2mgh7rn; .$45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked atgbw05ie65p wct7k/ y2ly.l tu $45^{\circ}$. 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 p-xsq0 ky 5zuf942gwca horizontal circle of radius 4x kg95wsc-y 2u0pzf q0.500
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 race6pm cpu2lqvz5zzl,b gc* ega +:-t)y0 car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fv+ )byzp l -: gcptagmz526c,0*qzlueill 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 hmc1fg.e ,p2 .cfwu1l 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 person stan8wmj z-3x n)g rpj52gyding on the Earth, due to the Moon? The mass of the Moon -zjwj8p3g )n grxy52mis $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masses i1y w to4o2p *y7h)vs kcs zka*m93nso0s F. If the masses are moved to7 *awstkhzm0oy)yv 4p3o sc 2k*1nso9 half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward th/:ahh:i aao )ne Sun, at what distance from the Earth will the gravitational forces due to the Sun and the Earth cancel?)in h:a/aa: ho
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 sc bmq20f g8i-em*x4qis $7.4 \times 10^{22} \; kg$ 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 "spa0 n(2qwo)f( s-w.1taciu :ou k 3fzmpmce-walk" at a distance above the Earth equal to tm2-fzocqtunfw puo0ks :w ( (m3.a )1ihe radius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At5p:4px+6 ef5yu poh:i u:oyed what distance above the Earth's surface will the acceleration of grav u 4upi 6pp:oxo +fy:hde5:5eyity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above iml j ny+g)i v)fzjf59 al1:ozq/.;fzlts surface equal to 3 times the radius of Mars. The acceleration ozfm9f:j.) zli5l;/l av+f n1y jzq g)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 center, thelysh g)8./ -m *x4vxogdctl rj2vay,6wri+)m acceleration of gravity iw.m-y y lvic*j)x4 slo2,rx+mga 6vdtg/h8)rs $32 \; m/s^2$. 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 in.ux;n 4o3a /tav3ze Earth. The Earth has radius r. If the object is raised to a height of 3r above 34ean 3 za.n u;vxoi/tthe Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person chan6emx0d ,/kzxpge when he goes from sea level to an altitude of 5000 m,zep/m dx0kx6? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 1055jx:r0x a4uil ( j8n7c(vizu6iccr f0 kg is at a point 3r above the Earth's surface. Whax8r i5 i(zju ir06x7cuc5a(l 4:c fjvnt is the satellite's weight?

  A spherically symmetric planet has four times 3 v(e)omm) ;qkbugi9z/b6 csu 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 woulds9(z i/ebc bqvo) uukmg;m6)3 it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun a8q kwvy dy;s92ll lie on the same line, with the Earth between the Moon and the Sun. The Moon y2y8 ;k9qwdsv 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 ballycr09n,o3p b7ns9 lk6uc0j yd is 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 jusv 2w5d4ef36hohk ug 1zt skims the surface of the Earth). What is the speed of ghfuz2ho1d5 kvw e436 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 ujwx/5um3k-f7th f.s4 xr z+q Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earwk/35q fu m u.st -f4hjzr+7xxth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit yc-n1 tiqpy1 rpi)x1 (ws2-r(ju f-kq230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of1unq- yq(st112rf p iic y kxwr)j--(p the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupi-2zh0uin epf p b(w b)g(l,wx9d(b p*wter, 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 the planet with a radius of t28bpisg6.w amum . wegl+n 6-$422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planet in neapkn 0jmr4qgjpr 26e(hvv:t 5*rly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 daysr vg6e:p2 m(n q45rk jp*0htvj to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter ismf 4poc ujc2t es69b+ig f5a5 br9lh)7 $7.78 \times 10^{11} \; m$ 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 is817/mstl ydn1)*f ubs2ny sau the average distance from Jupiter to sn7numlyus d8y1ftb2)/s a1 *the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)