Is it possible for an object moving with a constant speed to accelerate? Expl fglcp86je)ae sg n0+7ai7jl06sa+e e) gpn8 gfcn.

  Consider a particle moving with constant speed such that its acceleration of )b9axmveigjar d:5 1* constant magnitude is always 5r1ae b*mdi agjvx:)9perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare,a:bb+rxf 1qfhfw*i 6 the direction of the object'b*q 6+f1 wxfir:b fah,s velocity and acceleration vectors.

  When an object experiaqto dnd e8ic2b33u wc,wi/;rxt* 6; rences uniform circular motion, the direction of the acceleratio;tq*r6i3 2i,wdncrw;dc o8u x bt/a 3en is

  Consider a particle moving with constant speeds ru g yik,0x.+6xmb;g such that its acceleration of constant magnitude is always perpendicular to its veloc0b6 .kigx smu,yx; rg+ity.

  What type of acceleration does an object moving with constant speed i5 g5al7kt 5kqv f)3aspn a circular pat355)q7paakf 5v gtsklh experience?

  What force is needed t-*mfqpk v3 -bz 5q28itkxg 65f5ylsmqo make an object move in a circle?

  When an object experiences uniform circular motion, the direction of9x6mox io3r0m.qr8xzt.3 , qx bs -awy the net force rxorzxx 3y m6.9i,s3oqxt 0w-.m8aq b is

  A roller coaster car is on a track that forms a circular loop i9mz+v an.u/xd d vuzsn7(q+1wn the vertical plane. If the car is to just maintain contactnu9 7v d.ndm+u(vx/ a s+zz1qw 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 loopr4rfddxlxbtv -*0 06f (radius = r) in the vertical plane. If the car is to just 60x- 4l*db xvrf0f rtdmaintain 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 dive then follows a semi-circular arc until it p u97toiyswl dlak) 1 5ste:)(is going straight up. Just as the plane is at its lowestweiou) tk ) :salst57 dy(9p1l 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 curifk) xgeuqix)bee:w1(-r)o*xuv g/;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 speed v. Then it goes aroulyyyk)s:j5 kz,mk (k .nd the same curve at half of the original speed. What is the centripetal force on the car as it goes around the curkl,(5k jy:).k ymyskzve for the second time, compared to the first time?

  A car goes around a curve of rp/j 1rieimn;cahdm( l9z4jl7 wwb n 6;27sg9nadius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal fogw sj( irbni;m4a7w6 2mjn9hl c;le/79z1d n prce on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked h :ao /fpmj1me( fpp0q44ptw n+1 i-rycurve 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 the road is equal in py4:m(1 ph-qpweft j4fia/n+pm1r 0o magnitude to

  Two horizontal curves on a bobsled run are banked at the same 3l2s.ln kz-(s/1e pa5woq j 5u(k*fd8a ab zftangle, but one has twice the radius of the other. The safe speed (no friction needed to sta5/dafj(abk-n* tsw8z. qe2 1(spfoz3k a u l5ly 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 Olympdjf;ubisac :* th:l,2ic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionall dht:l;c:s2ub* ,faij y "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to hr*w3bngip j*gagv 17.- ow,jbave both centripeta,-bggwog jri3va* 1 jb7*n.pwl and tangential acceleration?

  The gravitational force between two objects is prop(srole68jm; cortional to

  The gravitational force between two objects is inverse)z-h jbab )a3xly proportional to

  Two objects attract each otzl. flgadsi3 opg1r, 1c-,oq+her gravitationally. If the distance between their centers is cut in half, the grl-s1, 3dpo +fq,o.g lgazc1 iravitational force

  Two objects, with masses biumsclb8s .-/k/ .f j7f59ay,tkbsq $m_{1}$ 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 uv2nfhs w 5:*qrvl00 z$m_{1}$ 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 gravitat3 x0ecn3h 1basag .0xyion.

  Compared to its mass on the E4x-hmnrjbk0z( akf )( arth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Ear7 4+qmxhs-eoh th. An object of mas4o+xhe q 7sh-ms
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from th 95 4y ldy-xqc yg/abznzu3h;;e Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. Ath j ;x8l9y5vyf what point is it beyond the pull of Earth'l xyf;jyh95 v8s gravity?

  Suppose a satellite were orbiting the Earth just above the sur.x d g71vxbgg8c5 rxy0*plah/ face. What is its cel yx*b x.8pghvxr0 gagd17/5 cntripetal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a ra*i54vbu w;sovu)q xt.dius of twice that of the E 5*iuob)svx.u t4v ;qwarth. 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 itwy *qt,w*i(:nqpzx/g is on Earth. The radius of the Moon is one-fourth that of the Ewgwxq**(qni :tzy/ , parth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, btqa1dh,cr -twah9 0s 0ut planet B has twice the radius of planet A. If planes01 ta,q-dr0ha9th wc t A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twicer99w -pes1pyn+xd1 lt the mass of planet A. If planet A has radius r, w-le rpn xt1p9s+1 9ydwhat is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) az 7kckxb*q)7d; oxz/v h53t bhbout a spherical planet (mass M). Which expression gives this xbob 7xdc*7k 53q/zkt )hz vh;satellite's orbital velocity?

  Satellite A has twicez tfod(h89d o5 the mass of satellite B, and rotates in the same orbit. Compare the twoo(o8 dztd95hf satellite's speeds.

  A person is standing on a scale in a9a9rr p4hnah5 n elevator accelerating downward. Compare the reading on the scale to the person's true pha4r9n r59ah weight.

  Who was the first person to realize that the planetsh cqrmek 63b135r2vgi move in elliptical paths arounb2ckrh35egvqm36i 1 r d the Sun?

  The speed of Halley's Comet, while traveling ,4t .lon9 rqtw.7nrzm. 2 zdfain its elliptical orbit around the Sunnto qr7watzz9nl.rf,.d. m 42 ,

  Let the average orbital radius of a planet be R. Let them67 z0iutl0bv f3c0a)eo1kt f/ri h9t orbital period be T. What quantity ir 3ue0k1/iloac6f7i9)h tmbtz0 t0vfs constant for all planets orbiting the Sun?

  A planet is discovered to orbit arol*ksb9vh;n: *rz b7 vpwze ;3ound a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that :b*9onrvp 7w; lvz3ke*;bzsh 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 the Earth to the Sun is defined as ono6frsrs/mf(/zmnto zecksd. n( r.p92 6p ;.pe "astronomical unit" (A(rpt orsfno zm.cd/r 9. p(s/nfzm6e.s26kp; U). 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.9 k6d pkzg2gz-jn )-bx5i- dymc79lpj

  List the four fundamental forces in na /ce0.guxd*ugny q0c)ture.

  An object moves with a constant speed o/- jfbb.h oy(ef 30 m/s on a circular track of radius 150 m. What is the acceleration of tyf/.b-o e(bj hhe object?

  The maximum speed around a level curve is 30.0 km/h. W k,6y7smojej *hat is the maximum speed around a curve with twice the radius? 7 6jj*k,o seym (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of 9 orlnob43kimv4u45cd2f*yd a bicycle wheel of diameter 70 cm when tki*vlfd 3r4 5mbou92coy 44 ndhe bike is moving 8.0 m/s?

  A point on a wheel rotating ht,q(kh c z,r+at 5.00 rev/s is located 0.200 m from the axis. What is the centripetal acck+ ( tqz,rhc,heleration?

  How many revolutions per minute must a cisc nh7-4n8g3 lwzsxo7rcular, rotating space station of radius swxn 4- nhog7s7c83zl1000 m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass o3e ,*t.t ocs guay.2gnf 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the cno.a.tg3ste u 2g,*y motorcycle?

  A 0.50-kg mass is attached to the end o/h-j7bht7u fady bq4sbn7(ospc6b 44f a 1.0-m string. 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 sc4j/yasht7(4b6q oubnbf77 bh d- sp4peed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whirled in aqb gn0iz:7xmc .z .;:q k8iuri7t8chm vertical circle of radius r. At the exact top of the path the h0. zminrcb:u :;77qmiqg 8ctz x. k8itension 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 dc.8ehmy8 bni+mp99b and whirled in a vertical circleb9m. 9md y 8hpic8+neb of radius r. At the exact bottom 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 outva9 j- uc2zwpfsz;.a - of the dive. What is the radius of curvature of theazc;j v p-zwufsa2-9. loop in which the plane is flying?

  A pilot makes an outside vertical loop (in w 6- j.ae3hjug+h3g jbbhich the center of the loop is beneath him) of radius 3200 m. At the top of his loop he is puj-3 +hb3guhja j6g. ebshing down on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a 0e ly/fvqa5b-o4q (t vpilot can stand is about seven times his weight. What is the minimum radius of curvature that a 4 qebv0q( -oly5 fvt/ajet 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 a+p)z yplkr( 1fn 80-m radius horizontal curve with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficient ofpf)lyp kz1+(r friction between the car's tires and each road surface.)

  A car is negotiating a fb1m;w1jnj+9 l wov ,3r (tyepkmv;6lelat curve of radius 50 m with a speed of 20 m/s. The centripetal force 3 v ;obj(e pm9lwm,n16;jw 1tv+keyrlprovided 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 at4w7w4g6 ka:i fzk/dm( jz2 bsn a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car6w7 2if:k mn/awjdkz(4 bs 4zg to make the turn?

  A car is moving with a constant speed v around a level curve. The ih8qw1 b7i n-b v:qd1lcoefficient of friction between the tires ah8inli- w b:11dq7vbq nd the 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 Olympixef9,c* yb litv8 ;fpf 85t-drbw v*-x5xsg:bc bobsled to negotiate a 100-m radius turn at 35 m/s with5rb: fs,*pfwbx;xd5 vy-x-til b8v* 9fg8tecout skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is ban.1kdbrrpd+;xqg-up; m ip; gv3r6 5upked 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 /t,)wsk jv vqgn +( ea.duoi.:b;r(o8knacd7radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is b sm yya-d,e5ue8tx,p *anked 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 horizontalfy7aiztsj6,5*yktzorl) g re:kw2+b c -vv+9 circle of radius 0.5ajvtyk 2tgro +*i,e+:-5 bvs9 ry 67z)w clkfz00
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 thff.-arl5 i6yrogc( n 26hg*a pe 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 500 m. (only f6pa *gho.nf6r2f ai-g( r cyl5ill 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 o55c*tw2uyh b/1unpnh f 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 sko )i7/.:;i.as9 jrsd)b nik ,yfadoon a 70-kg person standing on the Earth, due to the7b;s i,rfdijd/ oa)s )i o.as9kk :ny. 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 massc: ptd5sv64a zes is F. If the masses are moved to half of their initial distance, what is the gravitational attractivec d a5p:4v6tsz force?

  For a spacecraft going from the Earth toward the bhd5;72sp r mvSun, at what distance from the Earth will the gravitationalpbhm5;7dvr 2s 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 c/fd t e fh0rm1 1+:wuzag.nd1is $7.4 \times 10^{22} \; kg$ 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 ,qe b-f(j fqhf7d+ f;m9lgd,xa "space-walk" at a distance above the Earth equal to the radius of the Earth. What is her acceleration due t;fe,j (gd d,hlqbfx79+-ffmqo gravity?

  The radius of the Earth is R. At what distance above the Earth's surfac 6jp bdby.cg p7e9fgs-) l+3xze will the acceleration +s.lydb f73cg px -zj 6pb9)egof gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars a9 jdvrs8i+ci9m)k-opqya*3g t a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the sat3ig oqiaj+mys) 9v-8cpdk r*9 ellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, nh;djizuk i;r/w l()x8 s4hti*wkb1- the acceleration of gravity is *i k n4/- z(si;tbiwu lk w;hrdj8h1)x$32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on uzet:)aomyk- ;b *f:qx-h )pathe surface of the Earth. The Earth has radius r. If the object is raised to a height of 3r abovh-;z*e)opaqfb:: u)maty k -x e the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change when he goes frwq n,87fuh1w-x ssi 3kom sea level to an altitude of 5000 m? (The sq7sw3 kxuf8 in -w,h1mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellita*c:lnt x*-7iutwde6h xo f49 e of mass 100 kg is at a point 3r above the Eachu*6 fd:x-e ltwt7 94i xna*orth's surface. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass anj5sl.jd/ j.gdphiz+)b + xh.nd 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 this plane j+.idj)slbp.zdx 5/nhj+.h g t?

  During a lunar eclipse, the Moon, Earth50gqhi(mfw- zcfqu7y; iz xa)5rc9s 4, and Sun all lie on the same line, with the Earth between the Moon and the m ix4 g5 (yz5a) ;hir f-07zfuwqscqc9Sun. 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 M9jypq .fk2h z1oon.
(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 Earthqn+e l (((ms5dj 73qhnqfd7 qe (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean rad7lmh5 q(je qf + q(dsndq73n(eius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., itd/ 2e*tvys t5jef 2c;a just skims the surface of the Earth). How long does it tay5j2de t *2;vfts ac/eke 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 lvo3zb )e9w ftk2f:a+ 230 km above the surface of the Earth. It is obsz +wao:k92b)3tflf veerved to have a period 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 Jupiter4j 9*92gtkrhta g7ijf, 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 orbrcdzdr)op sq0r a0g/t4p-, t ;its 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 plailn81d2ohk)d 2j r2-*m oyry :o b 2zaovoz3h+net in nearly circular orbits. Moon A has orbital radius r, and moon B has oj ohr* r 81 on:z2y 3kh+l2vo2iad)m ybzdo-o2rbital 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 iu1 m5 hp.bgv63kv3gu qs $7.78 \times 10^{11} \; m$ 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 yearsx 8 rk*-rvqlj(zqc s.. to orbit the Sun once. What is the average distance from Jupz.8sxc jl*-q qrr.k(viter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)