Is it possible for an object moving with a constant speed to accelerate? -uf54 v-r*1c jl lvukp Explaipur51lc- kv*4ju l-fvn.

  Consider a particle moving with constant speed such that its acceleration9q wl5.vw s7najv ,gx. of constant magnitude is always perpendicular jsa..wnxqv95v 7wlg , to its velocity.

  An object moves in a circular path at a constf5c c/vkh2 c5z cye:s4ant speed. Compare the direction of the object's velo 5c2yvf5/ckscch :4ze city and acceleration vectors.

  When an object experiences uniform circular motion, the direction of thpfhn 5ur t6k92e accelerathkur9p65n t2fion is

  Consider a particle moving with constantz,bd: +c q)2vd ss+ybo speed such that its acceleration of constant b z)+cvy: osqdbs+,d2magnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving with constant8e gp3( jrmf.y speed in a circular path experiencere pjmy. (gf38?

  What force is needed to make an object move in a circlewky(7q ,r 8.:8dp;j/ cvwzz dm *qscao?

  When an object experiences uniform circular motion, the dir;f nwg cqp1bgx()m81l ection of the net force i1m8(pg f wn1lxgcq);b s

  A roller coaster car is on a track thzaqjc35 . 0c82ov7 c 3nnllpciat forms 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 this cq l o5cic azj3p73.c0v28nln point?

  A roller coaster car (mass = M) is on a track that forms a circular loop (radl .uak25o0kzoius = r) in the vertical plane. If the ca2ouo50kkl .z ar is to just maintain contact with the track at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical)zi2 2qyr ;nc1xlb o4u iq)h)c dive then follows a semi-circular arc until it is goi 2) 41lc)irq z)bu2o n;qxihycng straight up. Just 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 curvem;6mdijs7umb :3q h0p 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 consta:9yyjfc0(e /tvfl c 8wv5cz7s 6abv4ent speed v. Then it goes around t0 f svvy4y/9e5l78fbeaz 6cjc vwt(c:he same curve at 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 curve of radius r at a constant speed11 kl5j+ta n8mlukz5p v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second cukz5n1p8 ljk1lu amt+5rve, compared to the first?

  A car of mass m goes arounbp1m48eets7 ;fg os:rd a banked curve of radius r with speed 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 thes7 tmfg;sb :e1r4pe 8o road is equal in magnitude to

  Two horizontal curves on a bobsled run are ban6 zrz/rr,io n7fv*+0r(xl to dked at the same angle, but one has rtdrz7 r6fo*i,n / z r0ov(+lxtwice 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 the safe speed on the larger radius curve?

  The banking angle in a turn on e:umr-t w za red82x07the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb erz-r:7 e28 a0dwumtx the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object movinnr j5d2jrn1f -xrd f-8dv( (gtg around a circular path to have both centripetal(rr-vddnxt jn d2f r51jf8g(- and tangential acceleration?

  The gravitational force between two objects is proportional w 8 a0)ztjl ,.otmj-dhto

  The gravitational forci+pwx8 g ((51 e,4kkrnfi4*dvst pfh1/nozuq e between two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance betweenqkc69u u;jts3mg/) dloov2)v their centers is cut in halkvl;9)/ 2jt suoqcd)63o gum vf, the gravitational force

  Two objects, with mas q pn0y -y+lfo7c xvg5-m7 *ccgo8zq-vses $m_{1}$ 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 mabkf*49;vj zaf sses $m_{1}$ 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 gravitx zo/:wh033 psfyc )eaation.

  Compared to its mass on the0(smd0fzp+ b4(aaq is Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. An obm btbo1,jw:3e b2k* s66xril xject oel i6bo:x k3sj,tm 2wxbr6b*1f mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away fromkdl f,/;, uzxn the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point isrnay :i, yrs4r 2.tlub m3v5r; it beyond the pull of Earth's gravity r:a24,b.yr5t in murrv l3;ys?

  Suppose a satellite weresk.1xmlxq:dpp e.1 h1 orbiting the Earth just above the surface. What is its centripetal 1s.1:xqphemp l. dxk1acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius of twimg9(29i5s sr.u(b orl6tnzx mce that of2gxru. m(6irsm5z 9( nl bs9to the Earth. 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 it is o5bnl/ g9v,5nt ltdnoog b(b9(n Earth. The radius of the Moon is9dt9o glbg5nn t(,v bb5(n lo/ one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B/0ta(:rhwmcr. 6l ew g has twice the radius of planet A. If planet A has mass m, what is the mass of planet B?h.6:t( aew mwlr cgr0/

  Two planets have the same surface gravity, but planet B has tw 3ifds tseb6j 1q2q2n-ice the mass of planet A. If planet A fq-s361e qjd btsn22ihas radius r, what is the radius of planet B?

  Consider a small satellil:hp f ,g1xzso idy/ ko:v1).ste moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's , og)s 1/. hdikzvsfy:x:opl1orbital velocity?

  Satellite A has twice07iwvx1az )pw(,m ejq tbby,: the mass of satellite B, and rotates in the same orbit. Compare the two satellite's spe0bepat(ywjbmv7w i,)z x: q,1eds.

  A person is standing on a scale in an elevator accelerating downward. Compare(ceoa3z,a i 1w the cowza1, ea(i3 reading on the scale to the person's true weight.

  Who was the first person to realize that the planddi.*qav6vy y 13xdam+4i9 7j.fpf kpets move in elliptical paths arounddvdq3yfi+f61vi.dym x4p ka*.7pj9 a the Sun?

  The speed of Halley's Comet, while travelingitd0mnv7j n6 :4by3eo in its elliptical orbit around the Suo:yendt j n3b60mv47in,

  Let the average orbital radius of a planet be Rlxt+mhm m*6hs7(.+ fqq .fa to. Let the orbital period be T. *+(mqfoq mht .lm t67.sf+ xhaWhat quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a h51lj.95k/ x nz)u4pbeecu x5 h-sfvy 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 new planet be, coe9p z/u5jlhvx f kbx)n- ec5ys5u4h.1mpared to the Earth's orbital period?

  The average distance from the Earth t7v ; 3ut;ebzevo the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-zu3;eebt ; 7vvthird of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.sp nd-(c :hco*

  List the four fundamental forces in na pdf0m63 )i, nsxcfpk7u( 8m 5psa)x/vqs;l vsture.

  An object moves with a constant speed of 30 m/s on a circular track dki:tqcq4yu ac3y73+ of radius 150 m. What is the ac7k t:i3ycq4 ayq u3d+cceleration of the object?

  The maximum speed around a level curve is5sb-,hz c ngmu w-40wr 30.0 km/h. What is the maximum speed arou,rbgn-c5w hz- ws4mu 0nd a curve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal accelerat 8;qt0uvy7q hlion of a point on the perimeter of a bicycle wheel of diamh; t8qy 7vlq0ueter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/swle.*to3 7cf zb ve:,c is located 0.200 m from the axis. What eblefc,w3*7zv.:t co is the centripetal acceleration?

  How many revolutions per minute must a circular, rotating space station of c 4ms0lr /t6 n6yrv9xrr qyue;/+a3 mvradius 1000 m rotate to produce ans9rru v+ t xvqmneryr4 /l;36y06c/am artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes .bj -oojtpe;e6y 5.jrp8 .sn(6av svmaround a 13.7 m radius turn at 96.5 km/h. Whej j.envpmss6-.o;.o 8arp jv b56ty( at is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The syst: bdjez.d );tyem is whirled in a horizontal circular path. Idj :d.)tbyz; ef 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?

  A stone, of mass m, is attached to ab6 mrslm)7y7vza5 .hk v;o1ra strong string and whirled in a vertical circle of radius r. At the exact top 65aa) ly r17k;bvhz.msor 7mvof 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 whir wcsp99( dm *yce fe9ws .h8cxsd7t4d(led in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times the stone's weight. The st7wscxe(p9 c4d9fy*edds t(sc9 wmh.8one's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration c)jyq+nsths dabx6(8n+9 /le:8n xhk/v cq. zof 4g when pulling out of the dix s:)8 lhcc+tn kzxv (nn+sb8q/qj6dah.e/9yve. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which thel*8yb:t0 im3mpesth *yo 8j(h center of the loop is beneath him)ehtm i8**p s:otlbhym j3y(08 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 ,*9ky io+cm xj1b3.oescrng )times his weight. What is the minimum radius of curvature that a jet plane'sg.ex+r9obc1m3iko,y s)c* jn 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 cuxqsym. z: yui3 .bgo9bud1x/gb;9+fmrve with the tires on the verge of sli+/1fy9g 9gby o x;ubd.m.x3bz :usmiqpping. 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 flat0q)+uo9fiklb 0oa duake)n)-bk1q8 d curve of radius 50 m with a speed of 20 m/s. The centrkafd1n b) 8 oq0uu9)koq0kld+-ei b )aipetal 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 of radius 50 m at a speed of 14 m/s. What mbn9yr) xk*or. ek. x;ygab, f.ust be the minimum coefficient of friction between the tires and the fx* ).r ..,ak9r oxbke gyb;nyroad for the car to make the turn?

  A car is moving with a constant speed v around a level curvesbk(xjohgb(96om df n+ fp(( 3. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius k(ns+m(og69p3h( o(bfjfd b xof the curve if the car is to stay on the road?

  What minimum banking angle is required fow6 njsn .wc83wao.:evf o*iq1g t:,pe r an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore fr *.to1np3nsoc:.8 jgqwfae6,: vew wi iction.)

  A horizontal curve on a bobsled run is banked amtl4pk+f;nbd kl86tf )r84 zot 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 rad)13gv* ust bje(ppc* 8 pk3tokius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bak 3)u-vasqjcfua9 68 snked 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 o 4o w. gzs-o+pha;(dgwzt-5 laf a string is revolving uniformly in a horizontal circle oozzs +w wg;taad (.o-4p-gl5hf 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, a race car accelerates at a uni iunqy n crg m (;0kn lbbjqcpqt.o770)(x3t)8form rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numericb t;0qojgbl)8(ypt inc.) u0 c7q (7kqrmn3n xal 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 of mae9d;0zu3c6 d9 2 cckxmbu3qxnj )ct,n ss $1.67 \times 10^{-27} \; kg$ 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( oov((lnc(jf- e.nce the Earth, due to th (c(n(onj (c- efel.ove 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 masses is F. If b16enw,2yvw8e)s/naqag w j.the masses are moved to half of their init2gw) an,esye 8wwaqn1 v/bj.6 ial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance from5jo8 c,aw+ joy-qlzb e* t,5fu;zmkez m*z,,s the Earth will the gravitational forces due to tw8me zf;jm j ut ,q+z*a*cslkz,-oybo5e ,5z,he 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 Moonruimv (n 8z7s 1-y6tvl 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-walk" at a distance above tj0i9rc.hz f(0s uooxl yb w.v5 r*5fu/tk 0co:he Earth equal to the radius of the Earthhj crosu(* bi/5.:ylv 5tfxo09kcw0ruof.z 0. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distanceifudfespmu6 3fsj:64qd p 3*k1, ne.g above the Earth's surface will the acceleration ofdmie34 fs.u63sdq:p 6g ue1,jnf p*fk gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars fy7e3li/g ;dz at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravityz;7lefdgy 3/ i 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't(pi;m/ h8 z w8j5ibjqs center, the acceleration of gravity is tw5iqjhb;/ m8i8jp (z$32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the s w/9+wzxpba n)o4b.pxurface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is w)xw+ b.4ozp9na/bxp its weight?

  By how many newtons does the weight of a 100-kg person change wh j:6vyz;4gt, voxnah 7en he goes from sea level to an altitude of x z,n6t:g4h7v vjo;ya 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite08 lo qx8 ad.iny; ;1tl:bnkww of mass 100 kg is at a point 3r above the Eartwdb. 0owkn:xta; lnyq188;ilh's surface. What is the satellite's weight?

  A spherically symmetricukqosm;f( hzo3q 4 7j i.og0z8 planet has four 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 8qs04khiqjzgo u(z 7foo3; .mthe surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie onbn0y s; x3f+2odmax/l9wqbmk lz)v91 the same line, with the Eart+l 0;ms)1mya 2q vnbk 9 /lod9xxzbw3fh between the Moon 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 transporuwh r0 )fq*f b(mhx.zn 5uk0d8ted 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 circul6nj jq*m4 u+kjf+: z6n*yjiwoar orbit about the Earth (i.e., it just skims the : of6 *6nkm uqjyw4n +*i+jzjjsurface of the Earth). What is 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 abou9fa-be bqh2 )8 fz1pk+dsa5or t the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolutio +5fb8 e9apqbr)fda - 2zhko1sn around the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surfac.9pm3b 8 s7mzqjwya+1zd/tkce of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (T kmm3/ac zq .1dwjts8 +79ybpzhe mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupitn5kk l p y+8c5wdbiv/1er, 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 kh9ft:v t;v5ktz+f*y the 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)3en w cc54bk()90ak yfxznyhsjk.t4 circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How lowk c9b(t4yc 4aenn)h30fsy)kxzj5.kng does it take moon B to complete an orbit?

  The planet Jupiter io sv5;a019*wmiqv9h2xe z nq xs $7.78 \times 10^{11} \; m$ 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 ii o x7riu717qorbit the Sun once. What is the average dist7qi uxi7 17oirance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)