Is it possible for an objvk ,ydzps5t8kl6m;5 d( x0cmcect moving with a constant speed to accelerate? Explaizxmp8cy0d 5mks6 5 kv;ltdc, (n.

  Consider a particle moving with constant speed such tz 2ie6pn c(xf,hat its acceleration of cons,2( 6nxzpecf itant magnitude is always perpendicular to its velocity.

  An object moves in a circular path atxku1 sk 0fm1a+ a constant speed. Compare the direction of the objectsfu1 10+ xakmk's velocity and acceleration vectors.

  When an object experiences uniform circular motion, the dire(wt2 mgvorr6xkik eg w9me+/ 5880ywf ction of the accelerati8ry tgk+98vor m2k0wix(mg w ee 65f/won is

  Consider a particle moving with constant speed such that its a a:tbdf/ 55u2.oid83ba a5cso -smsyacceleration of constant magnit55 u:8 od a.m5obbfy2aca/s is-stda3ude is always perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed in a ciry.e:vhic, jtng77 6docular pd: ,vghje.on t77ci 6yath experience?

  What force is needed to20 jsx3b d f68 l+r7.oowe5kudx.pm ak make an object move in a circle?

  When an object experiences uniform circular motion, the direction of the net wv aufnyvi7(72;qod9 u rw79sforce7yd2s9riov(w7uf q u7 9wa nv; is

  A roller coaster car is on a track that fw 7+cag(jw6isorms 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 thas7gc+w(i 6 jwis point?

  A roller coaster car (mass = M) is on a t :*lv nd hq2,:igooa7rrack 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 the minimum value for its speed g2l, idnavr: *q:7ooh at that point?

  A pilot executes a vertical dive then foll ;zyjz, z4 dt3z0d6pisbt9 ct/ows a semi-circular arc until it is going straight up. sz it, z4;pd yj/d0zc6bt9zt3Just as the plane is at its lowest 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 curoz9y(oo ex8z( 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 s nh2tg:j;/p5medesz . peed v. Then it goes around the same curve at half of the original speed. What is the centripetal force on the cahmse5.gzpt/2jne:; d r 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 o,(7cfi8*l 4 9 qk+mfyoahrck a constant speed v. Then it goes around a curve of radius 2r at speed 2v. f ic mak *8oy4or+(k,lh79 fcqWhat is the centripetal force 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 spxk9*vgmd:. ssfzp etv 8avf08jz/ 94j eed v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal force on the car from thzk8f f gm8s j0.4*tepvv :j xz/9d9vsae road is equal in magnitude to

  Two horizontal curves on a bobsled run are bai:g92/-n da4sjhl lj hnked at the same angle, but one has twice the radius of the other. The safe speed (no fricillns 9hj g :j/2dh4-ation 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 ,. 8zzx wlhu(x62btod track is not constant, but increases upward from the horizontal. Coming around a(8b6x l2htuw.zz od,x 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 ozgy0neev( tegm7 :,.,f fzfx64e8dzzbject moving around a circular path to have both centripetal and tangential acceler.em:z7v6eyzef (z84td,g nxe0 g ff ,zation?

  The gravitational force between two objects is proportional,p :,(uo upwjy63 nizw to

  The gravitational force between two objects is;id 5oit 94/r+poqkoa inversely proportional to

  Two objects attract each othelns:6pw6na2g ta. :pl r gravitationally. If the distance between their center6 :n2pgwll .6:s patnas is cut in half, the gravitational force

  Two objects, with ma:h3-yt8 qgdz1cf z a*tsses $m_{1}$ 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 /nb8r,dkw;l c k79al +l8 3vdhnhva/b$m_{1}$ 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 ) xh5 z09nz8 .vrqmbc71) o6ep6qjakzegv(v dgravitation.

  Compared to its mass on the Earth, the6sr0myizd 48r;t( oaj mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. An7g6,dt u2da7 v ;hmff9d6qziu objectd 6gazdv7i29,u 6mudq 7f;hft of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth4o083 ri-pwbvc*inl 9ab g4gh's surface, the rocket's weight

  A spaceship is traveling to the Moon. u;mijni: y2:lAt what point is it beyond the pull of Eartyjliin:mu; :2h's gravity?

  Suppose a satellite were orbiting the Earth just above the surfacencap ntuzb;vqit 2swvt5:j 312(,eu-. What is its centripetal accelerav2 vtc:3,nt(5w2sp;qajb iztn e-u1ution?

  A hypothetical planet has a mass of half that qu05tyk m,f 0oof the Earth and a radius of twice that of the Earth. What is the acceleration due tukmtqo5f0 0, yo 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 itv i: mw.69maedevz1 p7 is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Eart z7pvmve.die16 aw9m:h's?

  Two planets have the same surface gravity, b,a1q gf or.k8lut planet B has twice the radius of plana 8.,k rg1loqfet A. If planet A has mass m, what is the mass of planet B?

  Two planets have the samea zx*ep.-ee* cl2k xg; surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is thex.e-e2ca e x**zg k;pl radius of planet B?

  Consider a small satellite moving in z+4kvigt6+4-skh ljd a circular orbit (radius r) about a spherical zkv64 shj++ ditk4 g-lplanet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the sh50o )l;d 3byy p8kbfd,y g;lkame orbit. Compare the twobfk;y0kd)dlgy3y lp; ,bh58 o satellite's speeds.

  A person is standing on a scale in an elevator accelerating downward. -ih:x-hfz 0mf Compare the reading on the scale to the person's true -0:x-hmhf zfi weight.

  Who was the first person t5-xcemux, 60 4h pfi gcu/mp8zo realize that the planets move in elliptical paths around 8z4ui,0xmpp6 - fhc 5cmexu g/the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit aroi7jkl ;9cjk9 df u0,qu ;:lpyfund the Sun,:lfc9;u,9 l ;yuk 7kjdfi0jp q

  Let the average orbital radius of a planet be R. Let fj:9f d2pvq;xs,eep5t 8m 9d ethe orbital period be T. What quante9 d,8teqs2p: xmjp9 vfefd;5ity is constant for all planets orbiting the Sun?

  A planet is discovered to ord ac2/1lnk bb7bit around 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 of revolution of that nl /db7c bna12kew planet be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defin(vpz d; vx1ku1ed as one "astronomical unitp 1k(1vuxdz;v" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.gkf/ 7z n9f;;qrdf3o6(:ed/vklp w mj

  List the four fundamental forces in na8; ftdu5eq;klture.

  An object moves with a constant speed of 30 m/s on a circular tracsg macw 7j0r2knb l/jy8 4:5qjk of radius 150 m. What is the acceleration of the o8g ykmw 05bn7rjl/ jq4cs 2aj:bject?

  The maximum speed around a level curve itp-l - db8cmh2s 30.0 km/h. What is the maximum speed around a curve8ct -lmp h-d2b with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration oep*b7 +w(c 3ksaqx6ju: cu cv)f a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is mc7q+xk u (j w36c*s:pb)avuce oving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/*7 5a wchcc+ku.9rrd gs is located 0.200 m from the axis. What is the centripetal acceleration?kar*rd+9.h 7ccc5ug w

  How many revolutions per minute must a circular, rotating space statio3hd 0le-w/z6xyoent kye;i+ (n of radius 1000 m rotatkx0ewndi o t e+yl-6ez(/3y;he to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes*;smm 1k ;8eqxavzl 0s around a 13.7 m radius turn at 96.5 km/h. What0szx8s;me*m;vk 1aql is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m stringys (5*cwcc8gu 4 7ofy8sb 5xgj. The system is whirled in a horizontal circular 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?gbuccsf( 5gy j8wo7 cxys8*45

  A stone, of mass m, is attached to a strong string and whirled in qsmd89d5g gdyk92bi0 a vertical circle of radius r. At the exact top of gb8igd29ksddy5q 9 0mthe 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 st-e 4l2gzb.zlb ring and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in tbl 2bel-.g 4zzhe 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 acc1dz uo (x8.xaceleration of 4g when pulling out of the dive. What is the radius of curvx.ouzc d18x(aature of the loop in which the plane is flying?

  A pilot makes an outs*.8 otoguh*w2-9 k mt pqut6iv+z x2rvide vertical loop (in which the center of the loop is beneath himi*qu tk vo gvrzmwx*t6u28.9t2h+ o -p) 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 stj4 .7en*o c.symg.sx0 ayu-xoand is about seven times his weight. What is the minimum radius o4 o.-xu 7nayes*yg .mojx .s0cf 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-yq 6q-gy1ybm /m radius horizontal curve with the tires on the verge of slipping. How fast can this cb/y-ygmq6 qy1ar 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 radod:cm)84w xhov (rj 3l08w gmrius 50 m with a speed of 20 m/s. The centripetal f3m)(w4hrg8 vw oo8l:mx c0r jdorce 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 radif+:7 heu ykn7u s;jxi(us 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between i(n7jfuk ey7: +x;uhsthe 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 otfn;*2+w ivqlb gd+ v,f 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 the r w2v+tfb;g,d+lq* ni voad?

  What minimum banking angle is requiredo7lu)ujj v1v pjup1 *6 for an Olympic bobsled to negotiate a 100-m radius turnjlu v1761oj* ujuvp) p at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve ons6kzf9xx-py v 0e9jm c3lp,g4 a bobsled run is banked 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 yhn*a)w ve 5v4at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is ban gk3p7+bgxc ltw:( )tuked 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 uniformlyxuj *9 tn oduu:s3;ue0 in a horizontal circlxd u*eut; 0:ojn 3s9uue 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, as dud7+2 r9wiu race 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 fill in numerical value 7+uid2d 9sur win 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 x.j14 mulrhs 4of 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 gravitatyxsr3st0 3 +bn vn5gd;ional force on a 70-kg person standing on the Earth, due to the Moon? The mass of the Mornx 3ygn;3s vbt s+50don 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 isktcp k(n8*a( q+w s686sptheu F. If the masses are moved to half of their initial distance, what is the gravitational attractive fqptu6p+seksw6ank(8 t h8*c( orce?

  For a spacecraft going from the Earth toward the Sun, g xtm3wz/ ty ob--v23dat what distance from the Earth will the gravitatioz dymg-vtobw3t/2 3x-nal 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 )pc*wxchauzo ms:(g2r8gt+ 43 p)fk3 w qfj,his $7.4 \times 10^{22} \; kg$ 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 aui xt(2y t2bwt9lmztf-4h/x 1 "space-walk" at a distance above the Earth equal to the radius of the Earth. Whatux -tyt(wt2fmi b4 2l/h9x1zt is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth'sh:x9,wdkfz 7s surface will the acceleration ofwzfkd,: s97hx gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 times b;:gtju ( z4 0egws+ummv3in+ the radius of Mars. The acceleration of gravity of the satellite, as compared to the accelu; m04ugbwie(+z+j:s n tv3 gmeration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, *dleo 7a(q5t1;8v:ha qgcx hwthe acceleration of gravity ishd7xa(h qqcw5*:v8g ol a;1te $32 \; m/s^2$. 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. 33cbvpt z7 o3ab;je0bThe Earth has radius r. If the object e3c7 t 3p3 bjovz0b;abis 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 g3ef:kr/o6 d mmoes from sea level to an altitude of 5000 m? (The mean ra/d m3 rfem6ok:dius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. j 9 rt3w,n8fr8dgqro/A satellite of mass 100 kg is at a point 3r above the Earth's su 9,rg/ rd8f tn3j8oqrwrface. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and twice s0vzmi moz;c.(t,c/ x its radc /zs; c,0(voz.i xmmtius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and S) xey3r8pck 2q4s/u lkun all lie on the same line, with the Earth between the Moon y q/kl3prku2s)e8c4 x 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 the Moon. 6vk6g3ar d9ko
(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 1 e5 ss;5:emubsc+q foEarth (i.e., it just skims the surface of the Earth). What is + es o5c:1qbsum5efs;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 aboub 2tune3m 3wk5t 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 E3 umnke w2tb35arth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular ow1p 75f9lno -n0 bl 5;f5sy jfvkkwr3jrbit 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mea1j93;y5r-ks0wj kfpf5nv5wlf o bln7 n radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diame3sg:vsm) oua 8ter 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 ahr0y(g p;uv2 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 circular1zn zv ewhn4q. 67 uje n3j1vx4flo63b orbits. Moon A has orbital radius r, and m7 j.6v3uov bwjqh x4zzenefl 6nn1431oon B 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 iw8szh8 1 f)dtb7k:ta ws $7.78 \times 10^{11} \; m$ 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 o4t 5zpoq;fn8 6ub4ffgrbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from the Earth t;t puf ofb865g 4fnzq4o the Sun is $1.5 \times 10^{11} \; m$.)