Is it possible for an objwz 02n 2jeco u,gq) ;c(9ccrpqect moving with a constant speed to accelerate? Explain.qz g)(9,cre20pcuj ;cw2oc q n

  Consider a particle moving with constant speed such(rgh4(1cgm1(b mtbao 8hcsu7 that its acceleration of constant magnitude is alway 7a mg14bh8ms (tgc( 1ob(hcurs perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the y+ n9t;vqy2rxdirection of the object's velocit tvr;yqxny2+9y and acceleration vectors.

  When an object experiences uniform circular motion, the direction of the accel.x,pu x4 cnmpr1wx-8 oerationxn.ru- 8cxp po, w1xm4 is

  Consider a particle moving with cpu7 p rdmx.vda4r, kefj0gu-v7)f0;donstant speed such that its acceleration of constant magnitude is always perpendicular to its . 7vp-xed0)u0gjru drpm fv;7 dkf4,avelocity.

  What type of acceleration does an oa xqb1sx--p5* ronhioury*i.) e+ g 0wbject moving with constant speed in a circular path experiey in1)i-hx50 +o*os-gxrrq upeb* aw.nce?

  What force is needed to make an object move in a circheap/f+ u4 v4n- 7jblkle?

  When an object experiences uniformk c/4z5o 2 ys9tlk9zbn circular motion, the direction of the net forccyktk5zbn4o99 s/ l2ze is

  A roller coaster car is on a tracavagcu0 ,,ir .k that 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 m ,uv .cga,iar0inimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms a cqa lv)r,nf+zjl5zyn25t( 7ubircular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the track at the a 7zqb(fn 5u5l2rzj)n,t +lyvtop of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertic-mspy ka+f )a2al dive then follows a semi-circular arc until it is going straight up. Just as the plane is at its lowest point, the force on him sfyaa-2pk+)m 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 radiegju+ l5npv4* zlv9fojfc(d65ke / y0us $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a cg, (/xuzt+imb6ahs .4 j7 rr1o3xit xwurve of radius r at a constant speed v. Then 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 curves b3rtg/ 1m 6huj+i,4az xtxir7o.(wx for the second time, compared to the first time?

  A car goes around a curve of radius rqml8 jxu , 3qip itp:0s*udi1tq4)je 7 at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on thjeqpdx3)muu08i l q4pq:ij istt*17 , e car as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius rq5wu n5l;hpj7bk-t( 19ovu/jek cz 4z with speed v. If the road is frictionless due tou-p5ueqhk;(c lkv 47z/b59jt1wo znj 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 magnitude to

  Two horizontal curves on a bobslez ey +a3gac.bd7,k zi6d run are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needediz,z+ 3ae agbk7. c6dy 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 the Olympic bobsled tral --ni) gs-hynck is not constant, but increases upward from the horizontal. ---n) ygn sihlComing 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 *k gik pgq6w36d+vtj l.sp2n1object moving around a circular path to have both centripetal an6vtk.pi 6gldgq * w1n+ 3j2kspd tangential acceleration?

  The gravitational force betwe gjszd.fiyv9,q 6 08cben two objects is proportional to

  The gravitational force between two objects i1m);6 ter)ea2c jjd dss inversely proportional to

  Two objects attract each other grq7; i1vt-aklaxiwyd90,sov3 avitationally. If the distance between their centers is cut in half, the gravitational forc-aa7x 91i;,v0klqyw 3vodist e

  Two objects, with masses fnkj7ql(uc8n) yb2o ($m_{1}$ 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 mas)y 8xh-1-dl(ajda uo 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 univers yi6j8zrl3r,ad1 fkb,al gravitation.

  Compared to its mass on the Earth,caolnwn0 0q2) v .h1v*zj/dfo the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Ear3dt e*l9 3 r.biemww2(5wlorzth. An object odw5t (lez9i*2l3r.wm rboew3f mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket's w+5sjzr 5mt 3qweight

  A spaceship is traveling tk-w ju0*d; w0rjbeq(zo the Moon. At what point is it beyond the pull of Earth's grav ekwquj0d j0bw(*;zr -ity?

  Suppose a satellite were orbiting the Earth just above the surface. Whw* v+,h mgweb8at is its centripetal acc,w+ h8*vbmw geeleration?

  A hypothetical planet has a mass of half that of the Earth and a rad6l h+9m qp nu4 g4x8f)2snrezdius of twice that of the Earth. What is the acceleration due to granmzx96nels2r4)u4q 8pgf hd +vity 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 onwd/on p8tj. xz,cpl* n:pql, ) Earth. The radius of the Moon is one-fourth ,n:*nj tdwo )zcp,pqllx.8p/ 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 has twice th en 6 f1k yaz)bnj1z3lne/yx-5e radius of planet A. If planet A)z e5nlfj/y 113y -k bnxae6nz has mass m, what is the mass of planet B?

  Two planets have the same surfac ihx. 1jn*6zice gravity, but planet B has twice the mass of planet A. Inzc*xiji.16 hf planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (r * 0xhsdt+-/p-qg7foo st *qeyadius r) about a spherical planet (mass M). W7ty+/e-f- gt h0 x*sdqqoo*pshich expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B,g,x p4v vsv8 ,.vgb)usm+:av. q0h zjq and rotates in the same orbit. Compare the two satellite's spe 0p.sva qz8xvg ,: .j,)s4uv +vmvhbqgeds.

  A person is standing on a scale in an elevator acchx nm 8bxcm)0h15qx8gelerating downward. Compare the81hn xhcgmq bx058m )x reading on the scale to the person's true weight.

  Who was the first person to realize that the planets move iz*o*z9 hc,t3 derc. ;rzez te4n elliptical paths around z,z zrch* 9e c;eo3r4.ttedz*the Sun?

  The speed of Halley's Comet, while traveling in its elliptic8hcofxx+ b4 2nal orbit around the 2 8fo4xc+nxbh Sun,

  Let the average orbital radius of a planet be R. Let the orbital period d kgm++c1yx41ir+fzex j4, fibe T. Whc+4 f1+1d z +iix,xkj4gfmr yeat quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit z)6mno v.ptq/around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. q6zom.np) v/t 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 the Ear:l)7bhyo5 qw5h ailc3th to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's av iwhbhyo:alq5l3 c)57erage distance from the Sun?

State Kepler's laws.zzt5vhor1q s9 a zms+k:a 52v7

  List the four fundamental for0fr9x +yr )monces in nature.

  An object moves with a constant speed of 30 m/s on a circular tranrwujl3p2 1ot ym* k9.ck of radius 150 m. What is the acceu* 9.nwm3k1 jp2yoltrleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What isqf-zqrkphx7r9, u y-/ 3ww7p+ahv3po the maximum speed around a curve with twice the radius? (Assume all other factors remain unp,fp ah/7zxwr-r7-u33wo h+ vyqq9k pchanged.)

  What is the centripetal acqvg(k 2o- aw)ant:xu)celeration of a point on the perimeter of a bicycle wheel of diameter 70 cm whe-)k( wtn2g) :oaquavxn 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 axis. ht3gv 0hapf)rh9fx 41 What is the centripetal accelf4hg)t3 a hx09fvrph1 eration?

  How many revolutions per mimv+*gsi n,o5(bz*d(p;i (m3g gwk lwe nute must a circular, rotating space station of radius 1000 m rotate to produce an artificial gravity of g,ezbow3*v (;dsngp(i5 m k*mli +gw($9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes a ,sd)q f.o1auhv.j4s 2 vk4rycround a 13.7 m radius turn at 96.5 km/h. What is t 2as)c.vu. 4j4qh1vdosrk fy,he centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is w,i8gf dcy:qe :hirled in a horizontal circular patg:cfyi, q8ed:h. 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 qke* lb+:mu0c attached to a strong string and whirled in a vertical circle of radius r. q+b:lkcm e*0 u At the exact top 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 stone, of mass m, is attached t. 5 ng4l 8t;e+sgpdxdto a strong string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times .4x;tnt5lp se d8g+ gdthe 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 pullin2(e4h q.c rlk jjx;vb4g out of the dive. What is the radius of .42jjqbvk(x4le ;chr curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loope8 lb5oqux(/yojg29u is beneat o8x2obg uu/e9j5qyl( h 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 weight. How fast is he going?

  The maximum force a px ,3aa1nw 3ryqilot 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 dive, can tolerate at a ry,wx3aa31 nqspeed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tires n*0/hwk ssfz/on the verge of slipping. How fast can this car round a second curve of radkhnf0/w /s s*zius 320 m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat 2 z15 ohp z dm77xa9dtues )4g+wspm:l;nzlt9 curve of radius 50 m with a speed of 20 m/s. The centripetal force provided by frictiodn7 z + ewm2l ;pt 7pz:lu 1hx54dzgastm9s)9on is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius eacdxmv2 )3e z/+b s*h50 m at a speed of 14 m/s. What must be the )am+ev *2dhez c3/sxb minimum coefficient of friction between 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 coefficie0 63o icskf-1y9yp1 .wtx gjaint of friction between the tires and the road is 0.40. What is the miyijpa. 3oc6y91 i0xtw1f ksg -nimum radius of the curve if the car is to stay on the road?

  What minimum banking anglecvks5j( l8 .na is required for an Olympic bobsled to negotiate a 100-slnj (85kc.vam radius turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on ( 9wxiha: ((dnhyoth -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 radius 100 mt*af euin,w;a)oki . k7b(ge-, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 +qvs fo;y az1*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 revolvin l n brow .dv*u 83+fo5rnq,gfj8gfw28g uniformly in a horizontal circle of radius 0.ww gr3qngo 8dlu ,8vfr8j.nffo52*b+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 accu/fy;(zf(2 k9yndojhelerates at a uniform rate to a spej( y hf(zn 29f/yod;kued of 45 m/s in 15 s, moving on 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 pre :,+de3i y.0bvivzc.9r hst doton 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 stuz:n.zi(t n+a0 ),o avprvz .tanding on the Earth, due to the Moon? The mass of.+nuv arv z :,0ptot(na.)zz i 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 the maj--he(ntv *q . met-vlsses are moved to half of their initial distance, what is -t-mt-v nl(vjh.*eeq the gravitational attractive force?

  For a spacecraft goixz0s/ev+ f 1u:f yay00t (eajong from the Earth toward the Sun, at what distance from the Earth will the gravitational forces due to +vyy(a0aefo : j 0s zt0/1xfeuthe 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 4m+grqg4c7s av7otw 3 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 distanc s; :zo*r* gpwza,th/de above the Earth equal to the radius of the Earth. What is her acceler; d rz, wphgao/s:*t*zation due to gravity?

  The radius of the Earth is R. At what distance e;z 9l57ujfbn ra+tp5above the Earth's surface will the acceleration of7; jfr+5 5lnuapteb9z gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 tmumx.wxm(a:he;q;x d519+wl5 vjg xzimes the radius of Mars. The acceleration of gravity ofwa mxw(+;u:.mxex hgz 5d q5;m9lxvj1 the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km fro46ma (upzdp :gm some planet's center, the acceleration of gravity is :ud4gp6zpm(a $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surfac(mbl cr4tnn7 /e of the Earth. The Earth has radius r. If the object is raised to a height of 3rbl7n/ n 4mcrt( above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change wt t u,.+hv:.lv+bh 9bei5uqbahen he goes from sea level to an altitub v9.:v q5ht+a h.bbli,+u eutde 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 3z;c8vy w:jsg wle40 p/t+y:qq r above the Earth's surfy:zw p+w08 eg/ jlq;ytsq4v: cace. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and twic15naz,h-k hs*4 1i*xoh7ihayggmh r1e its radius. If a jar of peanut butter weighs 12 N oy*-ia54, i* a11 hk1hmxnzog7r shh ghn the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the same lihcp cam8nz 9o. c)x/; daa.-lsv6eiv4ne, with the Earth between the Moon and the Sun. The Moon has a ma4xmn v/. cilh.apa968veo c;c sza d)-ss 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 tgk 1lvtt6 3g,is 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., s7nug*4p7u oss8l)kt it s5 )fit just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of the Eartt lf)75ns ok*7s8 it)sg4upsu h is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about thwsw)-l(4n 78qde0 m-g aqb evee Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radius of the Earth)lqvwq8g-edw- a70 meb(e4 ns is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 bj7jftul :2/lv /1+/iwt mdkb ,6sdkw km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean r vwt/1kjw+b i:tk/j2 s,/7dfdl l ubm6adius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Ju8*rqh w jwz+ czbm3igo) z5p4a l8d2p5piter, 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 the planet with a radie- w:er l7s/h6 r6ndxcus 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 dpuz17c qe;.h2- ytueA has orbital radius r, 21hezytq uue p c7-;d.and 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 idu;fu.-aul. -z ap1xln8, cc 3iz2sims $7.78 \times 10^{11} \; m$ 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 1xd /wrn5)5 7lpl3gwe377 :f 05hqixa gxslzit2 years to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from the Earqf z7a5 5i5l pgn)t0xl/ds77wxir:l eg3 x3hwth to the Sun is $1.5 \times 10^{11} \; m$.)