Is it possible for an object moving with a constant speed to acce- c0r zxi+8halyc /1lolerate? Explainhzl 0 c/i+-x8y1orl ca.

  Consider a particle moving with constant speed such that its acceleration of conie .m8 d:cro7 rbeochwt,+m ,; rsf5j9ymse+(stant magnitude is alm i(bede7f,c9cmo,tj8 rym rs.o:we r5 ++;hs ways perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compar h2w (mmniyiqdg/1iwy:o9zm3 br 0w 1/e the direction of the object's velocity and acceleration vec2 w3ihn 1iw/1zbmi90 y:(qgdwrmymo /tors.

  When an object experiences uniforlqnjb*7vuvq eq p-n-c+ 7b11m.f mxa 4m circular motion, the direction of the acceleram b-14enjqxf7 u .lc-v+7 qvqanmbp* 1tion is

  Consider a particle moving with constant speed such that its acceleration ofi8hpeuw ld9jg49. 9 az constant magnitude is always perpendicular to its.hepiwj 9u98aldz g94 velocity.

  What type of acceleration does an objec,x-zz,;tneg b -iqr/h3 mcdh8t moving with constant speed in a circular p, n,tq3h--8/h gdbxri z zm;ecath experience?

  What force is needed to make an object mojf q pm ycr) k;cvkl*))ei:p*:ve in a circle?

  When an object experiences uniform ci0 rlyosk(63j: ys* vjdrcular motion, the direction of the net force y sjr(s:6k3 oly0 jd*vis

  A roller coaster car is on a track that forms a circular loop iztb *q;7(lp)e svw2( tumk6zcn the vertical plane.* ckz)t e62zmq(lv;(p7 bwtus 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 point?

  A roller coaster car (mass = M) is on a )xga5 nhttq wr714*lotrack 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 poi*thq 7nxtr 4l5g1 aw)ont?

  A pilot executes a vertical dive then follows a s(xjcohh8q 9- remi-circular arc until it is going straight up. Just as the plane is at its lowest point, the forcqh9 oj -c8h(xre 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 curve6w3qpnr(vxd 8 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 iddk5ani(3k6e dpw4o+4cl30er;b nw around the same curve at half of the original speed. What is the cedab3edi nnpekw l(6dk3 o;4+ r0c4i 5wntripetal 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 speed v. Then i nejud0r**axg/, v a3cm3o:pt t goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second curx,op /*v: 30aa tgmcj u*nerd3ve, compared to the first?

  A car of mass m goes around a banked curve of radius r with speed v. If wytv8zioqm ,5*td /u1qx )yd5 the road is frictionless due to ice, the car can still nqvt5oyut5yzqmi /1,)x*d8 wd egotiate 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, but one ha exfzqx 18ns8-s twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radiefz1- nq8xs x8us curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track zkkjy/oim 5 ip2/8c;xis not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then z ko8xi5y2 mi;k/jpc/ go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular pat, v;b2 awo7zfth to have both centripetal and tangentt ,fwz av7ob;2ial acceleration?

  The gravitational force between two ob;qjy 90ui0i x:jn- nkrlz2u5ljects is proportional to

  The gravitational force between two objects is inverscyb 7*k2 :tfmxely proportional to

  Two objects attract each other gravitationally. If the distwez1um ;l7mfbdt9gb: f ((ch/ance between their centers is cut in half, the grav/mf; 7h(d uwctmbblg9 e(zf1:itational force

  Two objects, with masses u gacfnr 1,82y$m_{1}$ 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 ma b k)q0gqfz+w9r d0be6sses $m_{1}$ 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 dh1()qi,ck4s ox2whau; 7a5eyh 0lvduniversal gravitation.

  Compared to its mass on the Earth, the mass of an o 56znws g.( *r3u ia1t)dfipuebject on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Eany99j06o ss rhrth. An object s y0js6 rho99nof mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from thetdr7x /mipa5/ Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point isyast9h) 10 yad it beyond the pull of Ear)9 s ah1dat0yyth's gravity?

  Suppose a satellite were orbit kg4 p0)3tapw(ace+ v fo-op/ving the Earth just above the surface. What is its centripetal acceleraa43pf (opgw+c0p- eo/ ktvv)ation?

  A hypothetical planet has a mass of half that of the c *qd55cc adjv;+q5pnEarth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in vj ad5cpnd5q+q5 c c*;terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Mo0ptho ,v/k eszo:m k-:on is one-sixth what it is on Earth. The radius of the Moon is one-fourtkz kh:tevm-,:/o 0 opsh that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same wkrhqkbobl/ef,ig6c/ ( 5/,ljej -7 xsurface gravity, but planet B has twice the radius of planet A. If planet A haj,e/bo /(qlfgkr h x ib6ek -w,5c/jl7s mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice th8z fw2+fhn qr0e mass of planet A. If planet A has radius r, what is the radius of pla+0 hq8rznf w2fnet B?

  Consider a small satellite moving in a circular orbit (r(yd(v,k(br o badius r) about a spherical planet (mass M). Which expression gives this satellite's drbk (,yo (b(vorbital velocity?

  Satellite A has twice the mass of satellite B, an 3zurv89+ uwjw8cmv/f d rotates in the same orbit. Compare the two satellite'sr9v j8w3u+uz/w8vmfc speeds.

  A person is standing on a scale in an elevato:fp1t 2u jhc)/rbel* -ecxbg *r accelerating downward. Compare tu-c cpbfej**txh /g bel)r :21he reading on the scale to the person's true weight.

  Who was the first person to realize that tir(gi+6 xghsv )8sgz .he planets move in elliptical paths aroun gg6x+)ihs( r.vgis8z d the Sun?

  The speed of Halley's Comet, whill ppgmic 67;eh81m,ixp, 4uc xe traveling in its elliptical orbit around the Sunl4ph 6puic8x 7 ,1c,xi;mmepg,

  Let the average orbiaggm9uv izepn1*+ ; ;k6e nfv+tal radius of a planet be R. Let the orbital period be T. What kig +;m pz9ga1v+*ee n6nf;vuquantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, withz: sswol2 1zbpp ns7-1ct8gc8 the same orbital diameter as the Earth around our Sun. If that star has 4 timeswcg7pszs1sl 1 8z p-2bn:oc8t 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 the Earth to the Sun is 5mjxht . fipcr/) fdh9 yft)*/defined as one "astronomical unit" (AU). An asteroid orbits the Suchd)5hfip ).ft/ m / fytx*9jrn in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.v7 9e,iva n k,pipq.o-to8 f(o

  List the four fundamental forceo fticysfk(t+ /9 h0,os in nature.

  An object moves with a cons9xyk+s k1yw8 ttant speed of 30 m/s on a circular track of radius 150 m. What is the acceleratio19kt kwyx +sy8n of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum s9o8hafz52qdwsg-gsyy5 j w6 : peed around a curve with twice the radius? (wd:2s- yq fow8j5sg65 9hy zagAssume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the yhv8ag wfzjv4z*(;y4 .jhf1.urga * lperimeter of a bicycle wheel of diame41(*yagu ;. 8 jvwlhr.ah4g zvzf*jyfter 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 the axisu 7*u3jka etkul;a h,w,a f.o;. What is the centripetal accelt u*h,u,ak eak;;l.jwf a 3uo7eration?

  How many revolutions per minute must a circular, rotating s ucz8ca,f) s+q mgcn59pace station of radius 1000 m rotate to produ+ znca,c)95 8sf cqmugce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 25)wa uuqde:gp 4j4,kn2c xyq89gp(s3u0 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the m:) 9us 2xdpp4wu cj(yn3gq84 kguae,qotorcycle?

  A 0.50-kg mass is attac .p:ts+jol3w+se 2wjt hed to the end of a 1.0-m string. The system is whirled in a horizontal circular path. spj+w3olets.2w +t j: 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?

  A stone, of mass m, is attached to a strong string k i9857/kybtmq0kl/;p x+ p7uoupqj u and whirled in a vertical circle of radius r. At the exact top of the path the 7/;bu+p/ 0mt8 pqjk5o ly9uqp xkku 7itension 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 aiglu lx4-hc9,9sqp ( b vertical circle of radius r. At the exact bottom of the path the tension in the stribc( h,pi-4 us9x 9lgqlng 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 tadnn n(o/j+n*. kd/x+7 hr:wlytb6h acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane isn.+wo/r: d*nk + lt7/(x6hhtjnbnda y flying?

  A pilot makes an outside vertical loop (in which the center of the l3rir0rb4dygr ar -++qm+c9oyou: 2 fioop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat wit umr+r:y9i0a+do 4o-fr+brqyri c23g h only one-half of his normal weight. How fast is he going?

  The maximum force a pkd3u) m1:vhohfl x 7o:ilot can stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical div)x1u3: ovh7okl fmh:de, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s ra1+gsk. r dmw+ na+6icjd)(wfounds an 80-m radius horizontal curve with the tires on the verge of slipping. How fasanw1.m+aid 6f)cw r(+d+g k sjt 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 flat curve of radius g,l*buaq :1-xg+mw mc 50 m with a speed of 20 m/s. The centb1lu: ,cm mxg+g wq-*aripetal 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 a zht -sc+bt7/vt a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and th -btc+h7zt s/ve road for the car to make the turn?

  A car is moving with a constant speed v arouq.j,k(cme7 r +gvr9pj nd a level curve. The coefficient of friction between the tires and ,pmvcr9jg(r7kqj .+ethe road is 0.40. What is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled fuencge,+t m ,id- e:b*b: oee/x7ct-to negotiate a 100-m radius turn ae,g* em-nf ttbuic 7-ebd:,e:/ xceo+t 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is agx 2weshqu i;0*o5,c 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 1002jjpy61xvn5 j jh/t4d z-u8lf 7ch1fp m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 fw6 v0 ph/mdy2m 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 horizontal2- cq3tpe7 spd circle of d q-c3e7p2tps 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 ) 7-mh yhul:pfthe pit area, 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 5)f hl y7hump:-00 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 consists of a proton of m- zyspu.v44wir ffc 94ass $1.67 \times 10^{-27} \; kg$ 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 Earth, duelw e5apm:o 3gp5r11 eu to the Moon? The mass of the Moole1 up1goa m :wpe55r3n 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 u .g-wp6s2v ls4ku4ny;k 3rj w vl:cj.F. If the masses are moved to half of their initial distance, what is the gravitational attractive force? vglv:63ws u.2juc4y;sk.r pw kl n4j-

  For a spacecraft going from the vz9xswq,** 5l g)vn kyEarth toward the Sun, at what distance from the Earth will the gravitationalxv* )*vwnlgyz skq5 9, 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*xqd4uqs-2d + szkn8-sott o-r3c) wf 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 the Earth equa haqv) ( (ggm+t)zo2-t -rp-mqs:wva ol to the radius of (2q ormq- -vghp)vs (wa+m-t:zta)og the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Eq):ziou lnj; 47bv+t tarth's surface will the acceleu:7o4bn tz)i ;v+qjltration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance ab x1s wq*v vt2z)c.w)c/;q4rfq l afx6iove its surface equal to 3 times the radius of Mars. The acceleratiocs/w42lv) w)vi;z xffxrct. q1*qa q6n 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, the accelerc:fz;fjp *uhi9c 4) tkation of gravity;j94c*fup )h:ft kicz 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 Earth ha50d )vgoq+ifs;b 1njms radius r. If the objec+osgm;nf5i 0 )dvb 1qjt is 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 perj3k5.zvsz, s,ojiudk0 2tt0qe*cj*w son change when he goes from sea level to an altitude of 5000 mq , t*0 z3ewkksjio.,2j0vtd5zus*cj? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satelli9y h+ji (be aces9v/t+te of mass 100 kg is at a point 3r above the Earth's surface. What is the satellite's w(a + sc biy+etj9v/9eheight?

  A spherically symmetric planet has four times the Earth's mass and twice 2nc .wr4 jiaq1x8jc9jits 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 this2a.48 1w 9cn jxjrqcji planet?

  During a lunar eclipse, the Moon, Earth, andaer t:a 68-v0 tgdl/qh4falk: Sun all lie on the same line, with the Earth betweea qt6lrt8v a/:l4kf-:g0 dahen 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 transported to the Mkaw6 gq 70r)bxg,vyz7oon.
(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 skims 7rbgs*a w4)pm the surface of the Earth). What is the speed of the sat4)*wrambps g 7ellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a loo 8y*uhuj t bk3k16wf0w circular orbit about the Earth (i.e., it just skims the surface of u01kfyhbk3 6oj8 tuw* the Earth). How long does it take to make one revolution 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 surface of the Earth. It is n f7s;c(x,pu*tt7l5q+e i xcxobserved to have a period of 89 min. + * qne xx;u,itc 7pxls(fc7t5 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 diameterx sdc6- nas(v2n88wg f 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,g sr ;k4xt) dbg*if6n radius of $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planew dd5 l/,b)ywhz1 2eujt in nearly circular orbits. Moon A has orbital radius r, an5y,dw d12/)zb juelwhd moon 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 is s1f4tnv8 l kr2$7.78 \times 10^{11} \; m$ 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 avera: g h*hvgxtz i+.gg.;nge distance from Jupiter to the Sun? (The distance fi.vgx+g zt.:gh gh; n*rom the Earth to the Sun is $1.5 \times 10^{11} \; m$.)