Is it possible for an object moving with a constant speed to acc (zoedn 9szf 3lkp9;g,elerate? Explain.;zlg(399 ke f, dzsonp

  Consider a particle moving with constant speed such that its fp4 c)o;l+afsgq3 aymbl y:e96l:2e c acceleration of constant magnit6g:s aa b3fco+y)2 4;leypq:e lc9mflude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the;vjkr.gvq pv2 m;:jd 6k5mbn: direction of the object's velocity and acceleration m:.dvnmv j5;jk2 6b:q gvkpr ;vectors.

  When an object experiences uniform circular afp( vux u9m k:16;qok(qjwlsx g4*/jmotion, the direction of the accele; k6vq9(1/4swk ux*oam pqj fjxu( l:gration is

  Consider a particle moving with constant speed such that its ac27 oc, ) jlbkym0 7c4pzwq7obg8bffl5celeration of cons bc)w yplf8cz ,2j47kbog7oq b lmf057tant magnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving with cbzt,2 tnome+ 6z n(y 9mvbt;*wonstant speed in a circular path exper9(me*;, bn m vy6+bntow zzt2tience?

  What force is needed to make an object move in a c 5id o )zhs9tdqh+):p-+o drpvircle?

  When an object experiences uniform t4,oz-ogvt7 d circular motion, the direction of the net force is4ov t7 tozg,-d

  A roller coaster car is on a track that forms a circular looi -*x c;cohuruux5:8) c 1caowp in the vertical plane. If the car is to just maintain contact with track at thu cohu )x1-a5cu c* x8;io:crwe 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 tjlp4s+d(znfyqx) ba qxaju58)ig 2 7:rack 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 at that poinq)l (ayzju j 5nqpa f4)g82:7bsxxi+d t?

  A pilot executes a vertical dive then follows v 1bw3+ksb3k+eoh4rla semi-circular arc until it is going straight up. Just as the plane is at i4+b3 rvw+ hk osk3le1bts 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 curve of radin1a*f sf3o h.fus $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of rkev3 aiv5c-; fm;r(qbadius r at a constant speed v. Then it goes around the same curve at half of c riq -;vkf 3evab;m(5the 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 radius r at a constant sp jq/mc zm0y- )nr0d*r cj*e-oseed v. Then it goes around a curve of radius 2r at speed 2v. What is the centr/ rq -z ed0)yj*co0smjc-m*nr ipetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked u3gq(t3 r+p;piia, iocurve of radius r with speed v. If the road is frictionless due to ice, the carqa,pp +i go(33r; tiui can still 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, buttqd tzad -rlp.*2c(r4 one has twice the radius of the other. The safe speed (no friction needed to stdrcz2d4- att (.*lrpqay 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 track is not constant, n5omt.3k2p *vh , /7lgudrbulbut increases upward from the horizon*mh2t/k b dg 7l nrup.5lov,3utal. 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 movingv8ddoj-v/ w;xrv)ce3 around a circular path to have both centripetv 3re ;)cd w-8dvojv/xal and tangential acceleration?

  The gravitational force betwee7k:s,7q3ugn kysjp-.znrcg 9n two objects is proportional to

  The gravitational force between two objects is inveg.wibrx) 8;hu rsely proportional to

  Two objects attract each other gravitationally. If the distanbx o3 wb wk0szs4(*.w vxus/5cce between their centers is cut in half, the gravitational force4*/wksw(s5z3uv xb bx0w.osc

  Two objects, with masses atagrnla/,i o68itipc 7- q1ma;kb0 6 $m_{1}$ 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 masd:x-k9xk4pcrwwx7 i .a pcaeq 75ci2 :ses $m_{1}$ 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 gravitationg b). 2f7qzvd m2va gwq0ty7(t.

  Compared to its mass on the Earth, the mass ofrbe(bmoo 635r au fbxj)ly7+ , an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. plx,l + . 4z;sht4kaba An object oflapb;tls+z., x4k h a4 mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the roc mqk( b1:ralwd15)vzl ket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull:32- zoml k8p6ga(jnrfh4j wh of Earth's gravityj 86k p-h:az nf 3om4hg(rjlw2?

  Suppose a satellite were orbiting the Earth juse yh2lmv:lhqh2a1 2:m i,shv7g( n1 bbt above the surface. What is its centripetal acceler1 g(mhhmnihhl a72e2vb:v, lq:12sybation?

  A hypothetical planet has a mass ,6/v3( pat* kdksqcvlof half that of the Earth and a radius of twice that of the Earth. What is the acc6t(cdk3* a/,vv qlkpseleration 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 wp. y(mioebux5uu hz)m9 -*1f is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of tm( )-fp9oxzyb. m5u e1u*uw ihhe Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has twice the xi:.)gb*y98ia2 iy 4 ukvuqhtradius of planet A. If planet A has mass m, what is the mass of pubgv i*:q2y.th y84kaxu)i9i lanet B?

  Two planets have the same surface gravity, but planet B has twice the mass ofd jw)kqy*1 -de(q g7gtqaz( 0u planet A. If planet A has radius r, what is the radius of pla(dq*gugykzt )1- e 7j0(wdq qanet B?

  Consider a small satellite moving in a circular orbit (radius r) abow6 7oq :rx-y6fck h:7oq/ye ipjgx 68qut a spherical planet (mass M). Which expression gives this satellit q-g6:xo68eypf w7ch q o/ryk6:q7x ije's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbit.e it1c u*d4(uys8t)3xlf.p el Compare the two satell8 e*ei4lc ut.) fds1ulpy x3t(ite's speeds.

  A person is standing ooer 7f, v)7z4: mpm/wjkxwa4jn a scale in an elevator accelerating downward. Compare the reading on the scale to the pers pm,7w 7ma4 rkvej/xw:jf zo4)on's true weight.

  Who was the first person to reala k,zx91m.n hsize that the planets move in elliptical paths around th,zamn1 ksh .9xe Sun?

  The speed of Halley's Comet, while traveling in its elliptico;yy2n4 jq37 hf rl:jaal orbit around the Sun,f hjln;o3r a y7y2qj:4

  Let the average orbital radius of a planet be R. Let thsz . wrhynd*.bx8te a( y,r,j)e orbital period be T. Wr.w*8(djans .)r,bxt y zy eh,hat quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy ed05 rka5vmx.Andromeda, with the same orbital d5v5xmkar0 e. 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?

  The average distance from th.vogqchv2g9vusd0 *vf1gf 11 e Earth to the Sun is defined as one "astronomical unit" (AU). An astero .uvsqv 1v d110*fggvcg2 h9foid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.1x6-vltp h * uo7fdswxj834ol cs:ih8

  List the four fundamentalwm:e;ozocxcsj j2x7/x 13 v) s forces in nature.

  An object moves with a constant speed of 30 m :w sqvpl)1 9yx pap2ohl48;dn/s on a circular track of radius 150 m. What is th h9l:a84nx2pvd yppso) ql1w;e acceleration of the object?

  The maximum speed around a level curve is 30.0 kb-;nr etysryvl.(+ o 2m/h. What is the maximum speed around a curve with twice the radius? (Assume all other fac(vr;rtb-yysel o+.2n tors remain unchanged.)

  What is the centripehg 3k. i3yhx1htal acceleration of a point on the perimeter of a bicycle wheel .3 ikhxyh13h gof 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 0.200 m from tq;,4oem r9f mshe axis. What is the cenmesq f4r9,;om tripetal acceleration?

  How many revolutions per minute must a circular, rotating space sta6n blqfcx;sqm31k r+3r0s lv5tion of radius 1000 m rotate to produce an art 15qlfk3v+ql3sn 0sr;rmb xc6 ificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m ra)3g k.2 ic ncrab,uey9dius turn at 96.5 kabck) u, n.i9ecy2r3 gm/h. What is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end escx 4mo9y ge (/ac86eof a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tensiom(ey o8ce/6s c49xe agn 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 attached to av rx 2gtrql+*mi48d6n 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 txil8 vg2dt6 r m*4rqn+he 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 vertict avt 9)/fvnb,8ptr/q al circle of radius r. At the exact bottov)b rv /ttn9/8af ,tpqm 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 acceleration of 4g when pulling p0kd *-suee*7ixny-f out of the dive. What is the radius of curvature of the loop in x ie0k*- unypse-f*7d which the plane is flying?

  A pilot makes an outside ver7r460 gjow6ak1s jqj atical loop (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat with only o7ao61aq0 s 4jgr j6kwjne-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is abouc xnss 5095oh)v3rbyrt seven times his weight. What is the minimum radius of curvature th3ssr )9hx v0 r5yocb5nat 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 horizontal curvjew .cu5ts. ;1 uqu cmu.ohm+dg5, i(ke with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same cosq(gj5 u uoem.5;1im+.wc k d ucuh.,tefficient 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/s47h 4qhse o/la. The centripa sl/4h7eqh 4oetal force provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve oy8qj ; ggtyie5 z7rz86f radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for tj8 gz;e6z 7qgrty8iy 5he car to make the turn?

  A car is moving with a constant nz7g/zyc , le/alu85x speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radiyzung /,8ca z/5xl7e lus of the curve if the car is to stay on the road?

  What minimum banking angle is required for an O*gtbh)7j no vo8: ju5clympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Igbv) u8 chjtj* :7nog5onore friction.)

  A horizontal curve on a bobsled run is banked at akcc3sos1w d7. $45^{\circ}$ 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 10:uv4ls us1 24 8v jla -uxy)w9zm;bvri0 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 dfws ) )2czdzxzg..t1 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 horizb rd-kd)z :lyoc-:71 m 3klpme6l l0slontal circ1llm6k70zml:e ddb-l: lck-r)syp3o le 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,2buhk h; pfrke-zl hl) rr8.(/ a 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 numerical8ur bk l(kp./eh2 )hrhzr;lf- 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 n9ad6z4tgl ,t0d2m9 szxl 2w ov;qk+dsts 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 a) w;gdeco);aal force on a 70-kg person standing on the Earth, due to the Moon? The mass of toa;;)dcg a)wehe 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 3so+h aq5st;5o s*h poj1:jtwf j()eytwo masses is F. If the masses are moved to half of their initial distance, w(josh)ptofwo *a+ jse51:yjqs ; h 53that is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance fg9)(3ic+x bn :3g tqtxhhy5 bbrom the Earth will the gravitational forces due to the Sun b)x ty:nb h h3g(ctb9xg5+q3iand 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 ) :lc ;gbs0kvwis $7.4 \times 10^{22} \; kg$ 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 equall gkjl;6)/zbo to the radius of the Earth. What is her acbz6k/);gloj lceleration due to gravity?

  The radius of the Earth is R. At what disr0cs9 su oon zq+zi;4h2(umd1tance above the Earth's surface will the acceleratiozd1q 2u(sn r0 mz9us4oc;h+oin of gravity be $4.9 \; m/s^2$?

  A satellite encircles m4:b 3p- kqerivia7eg7)8 - mxc cr+lbMars at a distance above its surface equal to 3 times the radius of Mars. The acceleration oc imirr7vgpke4a3x7 e -)q:mblc+8b- f gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 140zk 1gi/8+vfs/e-+;sde,u p)r ry rldt00 km from some planet's center, the acceleration of gravity r+z1y vetg/prif r/d8-d)s,su+ke; lis $32 \; m/s^2$. 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. Th9m8ab g5qg 0hae Earth has radius r. If the object is raised to a height0g8bma95gha q of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weightfke r61p75f gp of a 100-kg person change when he goes from sea level to an altitude of 5000 pg7ff r 5p16ekm? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satelliteg(1 nhnr)1:an :rq 7s6) bvbgo-mkbtu of mass 100 kg is at a point 3r above the Earth's surface. What is the satellite's wei nv -bonr1 :tnas)1hg7kr (bmgq:)b 6ught?

  A spherically symmetric planet has four timi8 p/j*by;gi /l8d3uxu20k h e) va(qaqy qck/es 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 surface of thgb*aq /k8 pic2ie)30 l;y ky//uq(uvja8qd hx is planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie iot 80z)flg-n ch)m 2don the same line, with the Earth between the Moon and the Sun. The Moon zig )od8)n-f02htl cm 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 t;i55)/oa 2o85jguk5i*wgrb0 q 1fy cdqsj zyuransported 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 f 7 5q8hio8.fr-1f m ;sjppuakskims the surface of the Earth). What is the speed o8f jf-pm7hi.fs5 1;rauo pqk8f 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., wh;qd0vu4p9(fiov , mya (cd4it just skims the surface of the Earth). How long does it take to make one revolution arya(vw,vh40(d iu p;4mof cd9qound the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular-bds6ej: fzl2 orbit 230 km above the surface of the Earth. It is observed to have a perios2 d-e:lj bzf6d of 89 min. What is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital vk* rrbe/x y72diameter 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 plant4.1o 0 khkzasu*a+ ruet 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 kv/(es6be xk)o4 qom:A has orbital radius r, and moon B has orbital radius 4 o k) 6:eq4m/ebx(okvsr. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is -scmetk 7*e2 b$7.78 \times 10^{11} \; m$ 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 J-6 ;/qde4ewufm i i5zbupiter 12 years to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The di b;iq/z6mef-d4we ui5stance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)