Is it possible for an object moving with a constant speed to acceleratea8fq68t k:,onxrq;fg 3oq+pj ? Explaingqf8o :3kfrj8 ; tq+po6 xaq,n.

  Consider a particle moving with constant speed such that its accsw: z i x ux9f71d ije(-ss3dz-)5o36eixokfteleration of constant magnitude is always perpendicular to i5(-iw6ix iss1fe3)j t-odd9 fz x7u:s kzoxe3ts velocity.

  An object moves in a circular path at a constant speed. 5jzqtn0iq8p3o9d33srjq (1 mkbbxa0 Compare the direction of the object1 mj83qj0qsq5r9ix k0b aobtdzp3 3(n 's velocity and acceleration vectors.

  When an object experiences uniform circulars3 m42icgbs//6 nobcy motion, the direction of the acceleration isc43 mbbc so/i2y gs6n/

  Consider a particle moving with constant speed such that its accelerati6 ypkcts8k 8k/xmhg+1 on of constant magni 1+ sxgkp8hctym/kk86tude is always perpendicular to its velocity.

  What type of acceleration does an object moving with cons 1 9aj08iiehh asf1cr0tant speed in a circular path experienc0h19 ii ef1 shcr8j0aae?

  What force is needed to make an object move in a cira qpc+t(oy--, z*jbwh cle?

  When an object experiences unifh8snw* ulr:r z0 gna)+tcn1tgt/vcxh0+/ p;lorm circular motion, the direction of the net for)s ngw/p0t:1xv8ln0+; /+c*rtrnatucglh zh ce is

  A roller coaster car is on a track that forms a circular loopb ptkal 6n0:)wp0 vm)j in the vertical plane. If the car is to just : n0k0)6wtvmpapljb )maintain 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 track that forms a circular loop (radius v.xtgz *a5gza9mo s5d oh4l14 = 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 valu d4xgg9ozl sao.4t1 5hv *5mzae for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc until itr:u,vrw+l, f kkpw3qz94so ;de1;hu.rnbd5p is going straight up. Just as the plane is at its lowest point, the force or; kqs9,1op3u bw.h rd 5 n ;4e,krzpd+lvu:fwn 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 cuyuog2+4i3eo 8ink dw ;4(nk hx jelwjb-0pw)( rve 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. Then it goes a; vak:y h:qem8round the same curve at half of the origine ;mqh:8:vaykal 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 3 /n(0an6 bryoqj23t n ui)fogradius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centript3n 6ignb/n rq(2) jou a30yfoetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a bp8ot ko,/pgm2nhus -2 anked curve of radius r with speed v. If the road is frictionless due to ice, the car can still negotiato2 npug8,/h2-pot smke 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 th7ofvb-agmqnkg h/w9;)c p(z 3e same angle, but one has twice the radius of the other. The s(mk79nfwb pqg ) 3gh ;o/zav-cafe 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 th 58fub/w*desp c r5cogb39 u6zyyo/1m e Olympic bobsled track 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 of the turgouyf359/1 zycs *6budbwo ce/p5m8rn. Why do they do this?

  Is it possible for an object moving around a.uiz; j rnl1,cu 0*avg circular path to have both centripeuj0r*ulgnzai cv . 1,;tal and tangential acceleration?

  The gravitational force between two objec;w+.yyaxb, qff 12n uzts is proportional to

  The gravitational force between two objects is inverselyh q688sgjebc/2y z c8kew 6aj* proportional to

  Two objects attract each ,lz:+p-jgah4s,+o z 7gb;nl e5z x egxother gravitationally. If the distance between their centers i,5l7osnezzzh ;,pl+ :xgb-+g ajxe4gs cut in half, the gravitational force

  Two objects, with mask-9 w8 4mpjak (mz4h5 fnbqgo4ses $m_{1}$ 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 massesx+dhxvsl)y ; 2 $m_{1}$ 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 univerzg bhdq(2y5g * o muuygng7nmm ;*gl6./3ao l9sal gravitation.

  Compared to its mass on th8 - vja*hq3 xto1v0jlle Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Mooea:davn887f c6 z(gy on is one-sixth what it is on Earth. An obje7 n8d:a zf8y(vagoce6 ct of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Eak6(p3v -r9pvjfw dfu9 ;+rlvj rth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At w hoj /ek+;io(s n(k8yvhat point is it beyond the pull of Earth's gravh8( yiov sjo/+k(;n keity?

  Suppose a satellite were orbiting the Earth j6 0-rwh -pbb5e-m kcmyust above the surface. What is its centripetal accelermbyp -05hbwke 6m-c- ration?

  A hypothetical planet has a mass of half that ofzqkk ;-- 7talw the Earth and a radius of twice that of the Eaaktklz w- -;q7rth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what itk p)bgjsnak 4clvy2 f,)-(j r(l7xp6p is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Mfl)(gk 7a(p)vnpc 2pj sx- brky,6l 4joon's mass compared to the Earth's?

  Two planets have the (,aj /:soldxoy/hk x4 same surface gravity, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of plane( /,oj:4ydxxo ahkls/t B?

  Two planets have the same surface gravity, but planet B has twi9*t i3ho: ra4+ oubdumce the mass of planet A. If planet A has radius r, what is r 3oatuh:u94di*bmo+the radius of planet B?

  Consider a small satellite moving in a circular orbit (n3 w8w l82tbh4nibd +lradius r) about a spherical planet (ma8b id4w+h8l blwn23ntss M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite Bqtt* tkl (cwp 9emqi-q(,f3+f, and rotates in the same orbit. Compare the two sate q tf (tti -ek9*mcq3(fw+pql,llite's speeds.

  A person is standing on a scale in a-z mk tld5x-ldkb3 d0f* j0 n9j1ys.kln elevator accelerating downward. Compare the reading on the scaledk1s -kll5*mz 9fn dl 0j.d-t3yx0bjk to the person's true weight.

  Who was the first person to realize that the planets move in elliptical paths;dkk5q yo2l: f around thek5 ofk 2;qy:dl Sun?

  The speed of Halley's mmaqa-d-,t - oComet, while traveling in its elliptical orbit around the Sammto,da --q -un,

  Let the average orbital radius of a f8v j o.ym.riznx+ ppab6.22kplanet be R. Let the orbital period be T. What quanxomb.v .6pa . 2+ry2fi8zpj kntity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit ar1m-s gj(f1crv ound 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(vcf1m1g r -sj of revolution of that new planet be, compared to the Earth's orbital period?

  The average distance fro*( 6znb1*a03 mijnp )w:wxsmiibm 7 /ahnbeu/m the Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-tmna*b/m7 *1im0(n)wu:isx3 zp ajhwnieb/ 6 bhird of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws..-sup:dlfi; 5c-5;jt khv afg

  List the four fundamental fanfrcd74soj4 yi854r1 :yf dg orces in nature.

  An object moves with a cvw jxv -5 mc7zj(;os7ionstant speed of 30 m/s on a circular track of radius 150 m. What is the mci(7xz5oj-;s v jw7 vacceleration of the object?

  The maximum speed around a level cub+2 5ddec qemest/2i +rve is 30.0 km/h. What is the maximum speed around a curv5 e 2bdies2q+td/ ecm+e with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a poi 2ex9;4), nt5w dcv8niqu8mq.c cchn qnt on the perimeter of a bicycle wheel of diameter 70 cm when the bike icc.5,wq v;q4qxnem8ht92 dn) 8iu cc ns moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located llmm34on 9j wau96is *0.200 m from the axis. What is the centripetal accelera94lm3 mw inj69auo *lstion?

  How many revolutions per minute must a circular, rotating space station1x0l63jju08 d yx75 zjo ovkym of radius 1000 m rotate to produce an artific oy7jm8 juxz0ydk563xljv01 oial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turnvss37l(vxo a2-(/ adht l h,qj at 96.5 km/h. What is t-qsxv lh,s t7ajl(vadh/2(3o he centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m s;( auw6qs8xc vzml5 z: uixz,e6xr u3u6d51litring. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N u:;iu666xq v zl,1zxd8a 5uwr5zeul(c3misx. 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 viqxe(:, (zj kcircle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight. The sto kjxqz:ie ((v,ne's speed at this point is given by

  A stone, of mass m, is attached to a strong string and whirled in a vertiu8ahn6 k6qm *scal circle of radius r. At the exact bottom of the path the tension in the string is 3 times the sto6 hn muak6*qs8ne's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an 6biiz2p/qf 3a5s bp j/acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the planefb/iq6bpaj pz5si /32 is flying?

  A pilot makes an outside vertical loop (in which the center of the gf7 /ix.b0 poj0zn kl tb62b/tloop is beneath himxfib6 job tz007kpnb/t.l/ 2g) 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 going?

  The maximum force a pilot can stand is about seven times hm*l2n 3gspx0pis weight. What is theg* s2ln0p3x pm minimum radius of curvature that 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 rounds an 80-m radius horizontzyi:( yrzqzq xh( 5gfl1(34e4xejq8 tal curve with the tires on the verge of slipping. How fast can this car yx(tqj4eyr8g qez (h35fz z( 41qxil: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 of 20 m/s. Thedntn;/58 k+y fyc k5pt centripetal force provided by f;nkp8fc/tt 5 +5dynyk riction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 50 c*cgu ;zh bp/1nm; 2ucwq.k9wm at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the roa9w*pcbm2zuh1 g q; /n;c.kwcud for the car to make the turn?

  A car is moving with a constant speed v around a level curve. The coefficient oxbp fd84c7mcq43rp c9f friction between the tires and the road is 0.40. What is the minimum radius o dpf9m p74crccb 834qxf the curve if the car is to stay on the road?

  What minimum banking angldm a:- vq 1-igdr/y8sie is required for an Olympic bobsled to negotiate a 100-m radius turn at d--ym 8ig:aid1/vqr s 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banke9z,;m,qkrd *irscs+b d 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 angl,fj4 2;dzhp9: zrbvoge of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m i:ufubobg9a.g v;br6 .eqm8f1s 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 unifoxc+(lnf8.,h wq9wi q krmly in a horizontal circle of radius 0ih.n+l cwqw ,qkx( 9f8.500
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 fpw* kir x-xsl,;+ux8the pit area, a race car accelerates at a uniform rate to a speed of f*s il +,xxrku8wp;-x 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 consi- qlo2itqgopm 7(4j(msts 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 gravitational force on a 70-kg person standing on the Earthn9h)vg x0)zctdz g73drsi 6w ., due to thn sz6r 7 g.di)x3wczv t9g)0hde Moon? 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 ma:(e)i qfnz+s-gvfv8y sses is F. If the masses are moved to (v:ni ffzqv)g-+ e y8shalf of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth dxi0m(xy /dp6v)g8mx toward the Sun, at what distance from the Earth will the gravitational forces 0 (xdpvmiyx x86/gmd)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 Moonv0owo vgk2c- 3emw* +d;wrt v9 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-wa505zlje eq 0+lirbel7lk" at a distance above the Earth equal to the radius of the Earth. W5z057je le0rbli+q lehat is her acceleration due to gravity?

  The radius of the Earth is R. At what distance a:vy+z tp ofu(eg,u 7-obove the Earth's surface will the acceleragvy7o-u ,(ot pf:zeu +tion of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface t wr6 e-jla4boh:1p0ru0kz +s equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleratioa04jh r +6:k1 ro-lupszwtb0e n of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleration of gravt; jzptr/8wo6 itytt6zr/;j po8w 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 on the surface of the Earth. The s1v;d pjeyr7+ Earth has radius r. If the object is raised to a height of 3r above the Earth's + rdsjpe ;vy71surface, what is its weight?

  By how many newtons does the weighto/7bb 9qto,-t:;a rb fpu o1qr of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean radius of th7 a/o,ptt;q:qbu ofbb1r9o- r e Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A sat9q/ /q(csm,)f ekcun aellite of mass 100 kg is at a point 3r above the Earth's surface. What is the satellc/s)fma9ucqe(qn , k /ite's weight?

  A spherically symmetric planet has fouqlaw,. m+ye68o s d0kcpa tdqb) /*1izr 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 surfa1.+8sy0e6cd pkq*qa)t l/ idmb z,ao wce of this planet?

  During a lunar eclipse nd4 0h2mmc-ny, the Moon, Earth, and Sun all lie on the same line, with the Earth between the M2ndm cm h0n-y4oon and the Sun. The Moon 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 ball is transported to t;0 +4jpj6 6q hhx1k xd*uwspbuhe 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 cinehqxo6 /)tvw/ (sufzwr: ::frcular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the sate/ u:t(h/wvnq: o:6se zfxwf) rllite? (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 ju+m-o ls)xd7 o+y1*rk tcd g;fpst skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mea7*c+d;xg )ml ofork 1 -pst+dyn radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbid3r99jd d )q7 sznpmp,mvi0 , wdq+rb*t 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is t+d,*p qd9qdwp3dr9ms nz)0 7,jrivmbhe mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an,ltt+mb1xgnd ;6c7qi 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 (pm//o-1r q wkkri5e 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 circul)o3ns) a1t6.. yqmda uct*eeear orbits. Moon A has orbital radius r, and moon B hu*ye) a e13).mqd o .atest6ncas 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 ise qfv*.fq5f wi-0qp fp1 la48g $7.78 \times 10^{11} \; m$ 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 averaggt1*gb *ls ax1e distance from Jupiter to the Sun? (The distance from the Eal1* atgb xg*s1rth to the Sun is $1.5 \times 10^{11} \; m$.)