Is it possible for an object moving with a cong cub2(lw :96 c7yd:l ruom(ddstant speed to accelerate? Explain. 9 ol27u wy:dg :lmcudc(6(rdb

  Consider a particle moving with constant speed such that itcca00pz 1eonne9 b*y .s acceleration of constant magnitude is always pec0neaoneyb0. c * 19zprpendicular to its velocity.

  An object moves in a circular path at a constant speed. Comb712jixq j:1s gcloj ;pare the direction of the object's velocity andi1j: bsx7jgoc1;j2l q acceleration vectors.

  When an object expersolt/ y(1sa8iss 4yn-iences uniform circular motion, the direction of the acceleratyln8(st/syia s 4o1 -sion is

  Consider a particle moving with constant spe( ; dukwe( )d 9xjr88w:awnamaed such that its acceleration of constant magnitude is always perpendicular to its velocnrkd) uw; e9a8mxaa( wdj 8w(:ity.

  What type of acceleration doeskdh( sz3m-,s c an object moving with constant speed in a circular p(-c,zds3 hmskath experience?

  What force is needed to y 6:rrjc3tf4e2 9kh whmake an object move in a circle?

  When an object experiences uniform cir+ x-dvv4 dbyk/h2t z8o6 uh ms-wtf79jcular motion, the direction of the net forc/fu2 tv d6wy d7b t+o-s8z9-4kxhhjvm e is

  A roller coaster car is mq5m;hk br05r4 yl- bvon a track that forms a circular loop in the vertical plane. If thl;b h0m k4qrb-r5vy m5e 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 track that forms a circular2 o7qp:fvepor; w6f*r loop (radius = r) in the vertical plane. If the car is to just maintain contact with the twv:7rq;ope f rp2f6o*rack at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then fr1qe b)m n:1dlinw,n( ollows a semi-circular arc until it is going straight up. Jus, qn dbim(1rnewn:1) lt 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 cwo c8u m)(h*vof 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 r jgss *zhlt+230t9 l2dga 0lwi9kyz )aadius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is tsjstla3yg29d) +l zt2i0w z0*gh 9lkahe 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 speed v. Then it goeshe9q/:v)l,q or u)l lu around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second curve, compa:o/,lql eu r)uvq9l) hred to the first?

  A car of mass m goes around a banked curve of radius r with speed v. If the roa-+wa)du ubk4dd is frictionless due to ice, the car can still negotiate the curve if the horizontal comd-ud +4)wabkuponent 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 an;r7x l d jlq)zsqf9-8 7ef*fslgle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radius c)l9;q8 dx7z7jfs*fs-rqf ell urve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled1(j ;c/awlgbw.;sp is track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go 1ial bs; .; pcjsw/(gwlower coming out of the turn. Why do they do this?

  Is it possible for an object movin 1n:ruj jw1ed- *adyu2g around a circular path to have both centripetal and tangentialrd d1n j-w1uu:y2ea* j acceleration?

  The gravitational force between two objects is proportionanohc5rp g98 r9l to

  The gravitational force between two- vj.,icqp 8w3uy9ct1a bctx; objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance betweb7fok/48sao ho8 tjp1 ib*-qsen their centers is cut in half, the gravitasqs7-/hoo4 p8k8bi1*b tao fjtional force

  Two objects, with massf/57 tyc v4q an9wuq(nes $m_{1}$ 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 mass 01trsng(gfk b )2rmz(es $m_{1}$ 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 cq os* hhq6 a+fpy7/f5universal gravitation.

  Compared to its mass on the Earth, il5;n,/mflw dthe mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. nkr ;0f+q),z/e c1 ye6fdz6a-dsta qj An object of ma1) d6 ffeasydj,kzqe+ a6ntc-q 0;zr/ss
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away gvyqub 9b(nyp20s 1)h from the Earth's surface, the rocket's weight

  A spaceship is trave4zwhp8bbz .fw 8kt7 +nling to the Moon. At what point is it beyond the pull of Eartb .whf8+8kzzw t4 pn7bh's gravity?

  Suppose a satellite were orbiting the Earth just above the surface. What is ivgah, +,gl8/ s:db h; 3qkgjerts cbde,g 3:kqa ghh8glsrv+;/, jentripetal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius of twj1*h wg+0- vs5d8dm ldqxp02quuq + jsice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration 0qqguj 2s1x5ld d u-*+jwvm8q s+hdp0due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixt qajoqhc.-u( )h what it is on Earth. The radius of the Mq)ojhca (q u.-oon is 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 ha9b ,nzo)onj ,, 6mz 9yk*wxasc;o+tbxs twice the radius of planet A. If planet A has mass m, what is the mass of oa+ mwx boynj6 t,,9 ,zs*kxo9z;cn )bplanet B?

  Two planets have the same sur- 0vsquum4 l 7v9qj*ce7 inn:zface gravity, but planet B has twice the mass of planet A. If planet Au zsm*uj7v4n09cqv lne7q: - i has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius5-ec(xt)td-puk .ub g r) about a spherical planet (mass M). Which expression gives this sa(uuxt detg5).cpkb--tellite's orbital velocity?

  Satellite A has twice the mass of saek34b + g,/iw uhbprkjh td+(.tellite B, and rotates in the same orbit. Compare the twh(t4 hgk ++3kbi rw,p d/ubje.o satellite's speeds.

  A person is standing in5r n;lhnpezr) +;:iq+n9oeon a scale in an elevator accelerating downward. Compare the reading on the scale to the person's true w )re:l;;r+9nionn eph iq5n+ zeight.

  Who was the first person to realize that the pla pf /;ml6mtrl,9jet3xwz 4*cpnets move in elliptical paths around the Sune/; 4l m 6fzcw,3xpp*rlt9t jm?

  The speed of Halley's Come:9 uczpt:0r.y.try,+f ys qj: w en)get, while traveling in its elliptical orbit around the Sqyreups+ t).trej :wyc9,yg. :f0n :zun,

  Let the average orbit+uw d x3z4tn2wal radius of a planet be R. Let the orbital period be T. Whd2w+ unztwx4 3at quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Ansr6(qf-xmmx .i1m4) san yhm 7dromeda, 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 planetmam67( n4)r mxyms -x1fq shi. be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "astrooooq :c-tzv(d )t5dg a+n+8jsnomical unit" (AU). An asteroid orbits the +cd) naj + dg(oo8o-vsqz:5ttSun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.lgqerdri p4n o* 305y7

  List the four fundamental fo5 droum(:)nq1od8 dccrces in nature.

  An object moves with a6t,tj-sab, ajw48 qmb constant speed of 30 m/s on a circular track of radius 150 m. What is the acceleration of thjmbq,4w -,j6 tatbsa 8e object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum w6rs-9 cxkz0*;h gsypspeed around a curve with twice the radius? (Assume all other factors remain unchanged.)gsckwxy*0z9h pr6 ;s-

  What is the centripetal acceleration of a point on the percgu *m2 w)v-ezl8ma)o imeter of a bicycle wheel of diameter 70 cm when the bike 28)az*egwc)vu-m l mo is moving 8.0 m/s?

  A point on a wheel rotating at 5zvx2jj :4f is*3y,rwg .00 rev/s is located 0.200 m from the axis. What is the centripetal2:vixjr3 y,f4*jwgz s acceleration?

  How many revolutions per min cewry :gtze 2rw,2v.3ute must a circular, rotating space station of radius 1000 m rotate to produce an artifw2:w.vgetre y,cr z2 3icial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250z3v:* yuw v)jg,n y*tte/jrj: kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal f 3yg:zv* yte )j:jtv/r*wnu, jorce on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. Thyt:gcuyt*d9q9 zw 2e )e system is whirled in agutydz*yt )9w e:9q c2 horizontal circular 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, is at)u iyu2g ;.cvj*zf1iatached to a strong string and whirled in a vertical circle of radius r. At the exact top of the path the * 2vuuc yi.zg;ja)1fi 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 az9e1 sv9+tey0* kiu rcnd 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 point eytc 1is*+z r v99k0euis given by

  A jet plane flying 600 m/s experiences an acceleration of 4g wii:/u, ;j6qyo9l*g) 9te,mz pk imlrp hen pulling out of the dive. What is the radius olqg6*/ e mp9il9tiky;rzi ,,j)om:upf curvature of the loop in which the plane is flying?

  A pilot makes an outside vertic w(e *qcnj ny;(e .51vj-omipoal loop (in which the center of the loop is beneath * (.v-n5nejowjc1opm; (q y eihim) 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 can9uwruwm1,f7x.nqb 6 ktj*0 :e6epmu s 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 speed of 25ebw. 7166 *skxetmf9un :u0qpwj mur,0 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve withw2ay(o* 1frpo the tires on the verge of slippinw y1o2fo rp(*ag. 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 flat curveau.cc fg.c-7j:ah wblpm p /2bx0;, zt of radius 50 m with a speed of 20 m/s. The centripetal force provxg pl: t/zc2;ac.07c. apm, -hbjbfw uided 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 67+ tqr:dnnp v jx).qkwui99c : gat.cm/s. What must be the minimum coe9u+n itx:9dv)c a:7k. pwq 6gjqtr cn.fficient of friction between the tires and the road for the car to make the turn?

  A car is moving with a cons j)k*s:(0hm k 4fdaymj6gs8g atant speed v around a level curve. The coefficient of friction between the tires an k8) d:64gmsagsj0jamy kf(h*d 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 amhm9 5k;dzc3to negotiate a 100-m radius turn at 35 m/s without s ;m53 kzcdh9makidding? (Ignore friction.)

  A horizontal curve on a bobsledpv;mnexi;q0hl 24on y i- i*v, 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 10 u s,aco7uzq), 2l2ixyz*a.ow0 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked atq(xtfx scz ;*( $45^{\circ}$. 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 revo0 z7k )n7gjpx 8yf zl:0.fq /whgm*j vdivrr17lving uniformly in a horizontal circle of radiu1ihv*7/yvgr. 0n7jpf z 0kj7 g:zxdwfrq8m )ls 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 acceia zpgatr5kfk5/5u 4 )pxlh43 lerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a cir 5pf4gkaah554 rtu/ 3zxl)k picular 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 proton ofe++zg+5j/d e*a d;kzeot:cam 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 pers.mou-pisc.q) da8h 6 fxa5(ab on standing on the Earth, due to the Moon? The ca p xaqumh(5si .8fa-6bd) .omass 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)7 :k jk8wk*rulj2bgp is F. If the masses are moved to half of the:ug *wrkjkk pjlb27)8ir initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what disj:k 9cpo0o, ru)yayztmr/ 3n7tance from the Earth will the pankz90),cmrot7uy/ y roj:3 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 ixvksfzu ,8( +zs $7.4 \times 10^{22} \; kg$ 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 distancy2z jfr:6a;5ak .wr pie above the Earth equal to the radius of thef6i .aajpzyr5;wr 2:k Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Ear.9unnly.i,vk* ) a +3 swyipvdth's surface will the acceleration of grn)+v.y9w.d k sy,iu3lpn* avi avity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above :ji oam: 1 s19e ,;jz2 i9zeztyf9meakits surface equal to 3 times the radius of Ma 9:fm1y 9e oejk;:zaeti9 mjszz1i2a,rs. The acceleration 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, tsj gmgb,:h4;u cz o.9the acceleration of gravity9b,o ;gt.cmugzj 4s: h 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 37:v8ss dp2 jr9nyfkb Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth'jf39r2s dv snpb 8k7y:s surface, what is its weight?

  By how many newtons does the ; w9j5o2 rhyrg zpaa,x57.agzweight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean radius of thepa52ozg9;r5,wx7a ghz a yj.r Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at a poinzrnathm6r7v3tt 4il;7fh38e t 3r above the Earth's sutvrt73h83ez m6;tai rl74hn frface. What is the satellite's weight?

  A spherically symmetric planet has foszyb:2p 1 c-eaur times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the sur:1ba2c-sez py face of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, anm(du+q8tm d49hqzx. zd Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a mass od q(.8zm um 9+hqxtz4df $7.36 \times 10^{22} \; kg$; 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 transp lfjwjak1w/ r*me+c.,3n w,lj orted 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 c 8pt:ptycs) yps1,dr7ircular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of thept d:r, p)781ysyp cts satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a gmbbvux54qh 84n3a ; hlow circular orbit about the Earth (i.e., it just skims the surface of the Eart4h abb8umvn35 x;hq4g h). 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 orbva/l;2xt1jk)d(ba:h o/3q- wim n sghit 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass o-s;nh 12/ahaoxv/(:)w d btimqkgjl3f the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupitejvy 0uvz2zl3u kyx;o-v 7d-d4r, 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 withsq :wt9g2+rs h 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 planetkd(zmn y7r*fl/ mv2cm 4u)7i; *ztghe in nearly circular orbits. Moon A has orbital radius r, and tu*7 )mgze7ld(2mn4 y mi k crf*z/;hvmoon 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 ise5 saq n0h;pb/w3 5wob $7.78 \times 10^{11} \; m$ 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. Wh*(hb07t/h pje q9rs csat is the average distance from Jupiter to the Sun? (The distance from the Ear prhe 9tb70(*js/h qscth to the Sun is $1.5 \times 10^{11} \; m$.)