Is it possible for an object moving with a constant speed to accelerate? 47rlwrkg-gbk:zja6 +gez0 h. kn,(kf Explain. wgh4rk n6gb:.0(e,l kzfg+zjka7 -kr

  Consider a particle moving with constant speek1honf5bad7/ld,/e ad such that its acceleration of constant magnitude is always perpendicular to itsal kd1 a,/ ebhno/7df5 velocity.

  An object moves in a circular path at a cod)bgtd5,,o2f yn nk1jnstant speed. Compare the direction of the objecbdf ot)ng,d1kj2n, y5 t's velocity and acceleration vectors.

  When an object experiences uniform circular motion, vb:r zbn) sp+)the direction of the acceleratir+p bn:b))z vson is

  Consider a particle mookr6 g, o)52bf)v 6*fri arjwrving with constant speed such that its acceleration of constant magnitude is alwa fwogr) rrb)i,rfvok 62*5ja6ys perpendicular to its velocity.

  What type of acceleratione(k8 fr/hgf bd 9+/vrm does an object moving with constant speed in a circular p9bd/rev/(rfm +8 hgf kath experience?

  What force is needed to make an objdb)5b72 dyj wsect move in a circle?

  When an object experiences uniform circular motion, the direction of thet;s5q5xu6eg :huwk;l net force iqg;l5hx e:;swu t5uk6s

  A roller coaster car 9uy0 syp0t5bucu5i1t is on a track that forms a circular loop in the vertical plane. Is5c0yi1 tu9 0bytuu5pf 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 = Mevijmsrn 8 t+n0y9n4 ,) is on a track that forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact wini4r+y nv0s8tjm ,9 neth 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 folbo :d 02lh7 fm n5.mh)p.qytn )qcg4oplows a semi-circular arc until it is going straight up. Ju2)hq)gb cf yn mtool.qp7:dh.nm04p5st 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 curve of 1jxh tp /-fclm:k puh*w).*oezj9/f lradius $r$ 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. Th9* 75ikc8yfxp kpi-qwbwxqu*s 8*in4en it goes around the same curve at half of the original speed. What is the centripetal force on the car as it goes around the cur7q5sw *-*yppquf8wikxk b x 94iin c8*ve for the second time, compared to the first time?

  A car goes around a curve of radius r at a constant speed v. Then i3l7 e/fz/vb:g m bp,q6ncda e4t goes around a curve of radius 2r an q eaz4:clmbg6/p73de /,fbvt speed 2v. What 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 raxgl6l8bexx g *zrz2;zh6(b5 d dius r with speed v. If the road is frictionless due to ice, t 6;(x82x zl* eglgb6b5xhrzdzhe car 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 bo8 ,zt);6 s0x1 spqzf znplqvr)bsled run are banked at the same angle, but one has twice 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 onvsx s zq0zp )81)z;,rp6tnf ql the larger radius curve?

  The banking angle in a t6v7p suldk,n4,:.dovtv k/ x lurn on the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climbpo vtnl ,v:ud7dsk k/l.64xv, 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 ha ffzn,i/7 qjby(z n7q/ve both centripetal and tangential accqj y/n n(fiz,/77 zbqfeleration?

  The gravitational force between two objects is proportiod9m5 2mloea)gnal to

  The gravitational force8hjo eag-348 +oab4cs1 udema between two objects is inversely proportional to

  Two objects attract each otht-mudc) ku:1nri*;uax r) m .+w(sqyler gravitationally. If the distance between their centers is cut in half, the gravitationu wx ).nqtk;*ls)(crmu:ymr+ au-1id al force

  Two objects, with massew21- tgek/1rx g 1 tooqheggk7 sp/.9zs $m_{1}$ 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 mao6xe 4 mucd4f) ht60lbsses $m_{1}$ 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 gravitatk0is4c 43lph(- mefyfion.

  Compared to its mass on the Earth, the mass of an object on thew6vx*te/q+tl;ox +taq; gw4j Moon is

  The acceleration of gravity on the Moon is one-sixth what it *pw- j naugkyk t3;x*4b.tap3-y4hpwis on Earth. An object of masskutaw3;k3jpxyw*pt4- n4 a *.hb -pgy
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's ssf4(b *1syg nburface, the rocket's weight

  A spaceship is traveli8web ubx.t.. yng to the Moon. At what point is it beyond the pull of Earth's grav.b w.b y8x.eutity?

  Suppose a satellite were orbiting the Earth just above the su(8bja1ibh4p ljqx.vrtj5 zv9 y ;k*f-rface. What is its centripe- avyj5(if;1*hp.rb bvklj9 qx4 8zj ttal acceleration?

  A hypothetical planet has a mass oghc2:x k* xj,)+ mcjgmxk/ dsdo7d86rf half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration duxm:cs,r hm/8 2j6g d+k7*jxckxddo)ge to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. Thegjb :gq5wb4 (*i;b r:cunnw f, radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earwi :br; g bfnbq4nj,5*wcu:g( th's?

  Two planets have the same surface gravity, but planet B has twice(zi 2.alcnn9bb q0;-kz u8hyy the radius of planet A. If planet A has mass m, what is k l;n-8n zy zbu2i. (y0aq9cbhthe mass of planet B?

  Two planets have the same surface gravity, but planet B ham2r4x vk (uw83z,kqe z)hzi.as twice the mass of planet A. If planet A has radius r, what is the ra, .( qwe3kzz2i8k) z4haxmvurdius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) abo2jk.z15hal pqut a spherical planet (mass M). Wq5a kl2p jz.h1hich expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satrauz+c z6.e5/ah64gng2 fn pjellite B, and rotates in the same orbit. Compare the two s+6 f/ euz naj.p4caz65ngg2 hratellite's speeds.

  A person is standing on a scale in an el+ .8uq 8otmvzdmm glaj+*q/8 .et8ju sevator accelerating downward. Compare the reading on the scale to the person's true weight.u+j8vm8+aosq*g l uejm m 8t/qzdt8..

  Who was the first person to realize that the planets move in ellipti6q50gqe-zxke 1c 9 drc23wqq5; gpmzncal paths ar35 xqg ;wqeq10ke 2z69q5cc-pr ngdz mound the Sun?

  The speed of Halley's Com; qqdcg s mgd*,vsj:r1u 6n*,(+cpolmet, while traveling in its elliptical orbit around the S,s1do+ ;mq, psgj6*lrcdu:(n*gmv q cun,

  Let the average orbital radius of a planet be R. Let the orbital period bj *j)5ky (j0j 8xjspaje T. What )j*asjkjjy0jj(x 58p quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, witg ho.baj05 jj*h 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, compared to the Earth's orj5obj g*h. aj0bital period?

  The average distance from the Earth to the u):q xzalx(4m Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?xl4m(: xqauz)

State Kepler's laws. 5:k03lm iom ;hdw(zkl

  List the four fundamental force 5li 2h qpvg.-bz/l)fqs in nature.

  An object moves with a constant speed of 30 m/s on1 e:4c-q1)y nq bgauk54zh,e0gvy sge a circular track of radius 150 m. What is ynq4ua1,ezqy ):vkeheb4-c1g g g50 s the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the p37zm fuaf/1 umaximum speed around a curve with twice the radius? (f 7afpmuzu 3/1Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a poi;8qvj.52 sccswr6 c yl(iji;unt on the perimeter of a bicycle wheel of diameter 70 cm when the bike issicsc26l c.q wiyj r;(85uv;j moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.4eb13 j.ursoa200 m from the axis. What is the centripetal accelerat3. sueorj14 abion?

  How many revolutions per minute must a circular,jb wex5vk: zr*;ar hrx3,2 o(z rotating space station of radius 1000 m rotate e;vwxz:a r 2rjox5*bz,r(3hk to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.77+rt ig ymtr(mm+9j 4l(p*e qj m radius turn at 96.5 km/h. Whatpq t +et9(m*l4r yjm(i7j+r gm is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end5 beihjpdo 4z,+)t+qw of a 1.0-m string. The system is whirled in a horizontal circular beij)pz+5 d th4q,ow+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?

  A stone, of mass m, is5s-/10wvnsm brh* 7 2ommu ,vq uw3naz attached to a 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 the stone's weight. The ston7nvrwo*mh 0s3va u s, m2bw5-m u/nzq1e's speed at this point is given by

  A stone, of mass m, is attached to a strong string anxq-+bt6uk:(0c t gqp6m)d gim d whirled 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 stone's speed at this poi:x c 0 bm-tqim u)pkgt(d66q+gnt is given by

  A jet plane flying 600,ecxo0e f jrh6i-:+hwu .3why m/s experiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the w:h0hjewye f+ h6ro.u,ci3-x plane is flying?

  A pilot makes an outside vertical loop (in wj 5okpyfz bt/ ;3b3krk1fz b+r0cg9z;hich 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 one-half of his normal 35 k+kbpyo;9 tz;zrcfb1/j zgk bf30r weight. How fast is he going?

  The maximum force a pilot can stan8+y 3qcd bch;;o9e gkji1xkg2 d is about seven times his weight. What is the minimum rqk;ixehyc ; 31b8k9cg o 2gd+jadius of 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-m radius horizontal curve with the tirbjzl10hk(.dt, wy b)wqkew 8/es on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume t.)w,b1ybek hwz8 q lw/jd(k0the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curviwjk2vg,+pjex mn*tetzw 2 2 ,: n41jce of radius 50 m with a speed of 20 m/s. The centripetal force provided by frw2 *jzj ,kn2p +n mi1c4j:ttxweg,v e2iction 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 a6n lol2lvgbyn-e *z ,; speed of 14 m/s. What must be the minimum coefficient of friction betw* yonne -bl;6gl,z2lveen the 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 coeffi w,b)tfe/x4 0w,qkne kcient of friction betw,bq/we4 0, kew n)tkxfeen the tires and 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 Olympic bobsled to negit2 81iuz0lf rotiate a 100-m radius turn at 35 m/s wzli8tr2i1 0f uithout skidding? (Ignore friction.)

  A horizontal curve onob7spa 889gijnw8 g( z 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 radu *q47(mngpink w+ md;ius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bank1fy2/c1kwe r(fa2 ,f*icl odued 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 lram4aji(r+ko7 w*7 mis revolving uniformly in a horizontal circle of rada7i +j 4km*lorarm(w7 ius 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 accelerw;sf1 4z j btzfk7av0;ates at a uniform rate to a speed of 45 m/s in 15 s, moving zbks;f 0 j;t1v4z af7won a circular track of radius 500 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 pus)jkr2o2rj qeo mxp8- y; .9troton 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 on a 70-kg person standing on the Eaf)c6pyly2 r, -4d6tjd9 zfji zrth, due to the Moondyyp-9 6jl6r)j ffdzt,42c iz? 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 betwee-b6 *zb.ml eubo. m.* tienm:zn two masses is F. If the masses are moved to half of their initial distancbeb*6ib-ze.n mm *:.zo tlum.e, what is the gravitational attractive force?

  For a spacecraft going from tkt,v2dq0 z* iihe Earth toward the Sun, at what distance from the Earth wti,0qik2 *d zvill the gravitational 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 is arb/j 8v(bm xi(udi, nhm 8/6x$7.4 \times 10^{22} \; kg$ 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 "ck9 l1l a:xq0l-nf6 opspace-walk" at a distance above the Earth equal to the radius of the Earth. What is l x 0-l:k96cofa1lnqp her acceleration due to gravity?

  The radius of the Earth is R. r :y.q7ijr h (g etpu;4vlv1wt hu-a*7At what distance above the Earth's surface will the accele(hj- 1u*r.;plg 7t iuyqr7a :v4wthveration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distwxyd 9 ,5ersn e*z7t4rance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the ywns*e7x5e, 4dr9ztr surface of Mars, is

  At a distance of 14000 km from some planet's center, the accelerat72a2 kz- wd je-v7hyvbion of gravity27vk 2d-zb-ha 7v yewj 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 has radius r. ,4o xr b(,2mq (olqvdjnajd+;If the object is(xb qj+q2ldmd ,oa;nv4jo, r( 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 goes jy((l1ovf d +snjk9fc3l )nf1from sea levol) (n 1df1ncl(jffvjy s+39kel to an altitude of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at a point 3r above t;go-+dywhivcn1 iazeby67 86he Earth's surface. What is the satellite's nywyacv-6d8i61 gez ;+ob7hiweight?

  A spherically symmetric pl-aj7 *i7jt7 lahji )wo 4 gu:wyj;oql-anet 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 the surface lw7y 4-ljo ; jijh77a)ito:q jw*ga-u of this planet?

  During a lunar eclipse, the 6ggpg)s8 m,.vj3 l rbyh-.axwMoon, Earth, and Sun all lie on the same line, with the Earth between the Moon and th- ham,8sw3pl v.brjg6)xy.gge 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 i/or l ,fka) d btd*3wz3ed5d/js transported 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., itc/qj f*wdnv- ,c)i2 pt just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of th- d)f win t2v*qp/,ccje Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., l,feodt 2zc,o:i3k .k x jm(7hit just skims the surface of the Earth). How long does it tai.k,d fok(j:h7ec t,x o3z2m lke 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 qld 5/dsd3x b03)drbxsurface of the Earth. It is observed to have a plx b3r/3qbd) 0sdd5dxeriod 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 diameter of aikh p(nk*;.u v3;kad$1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits the planet with: c.pxmv(qlxq;7a/m o 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/z m9( 2jthbet in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 day2 b(9tj/tm zhes to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isxt8b0x p. a*pv $7.78 \times 10^{11} \; m$ 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 yearw+hxl sh7+,zjc/x q1ds to orbit the Sun once. What is the average xh7x s+zw/ q+ ld1,hjcdistance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)