Is it possible for an object moving with a mbejfrgmtfh 97g q ef93z((*5constant speed to accelerate? Explaif9ehemgfb qz9jr g3 f((t*7m5n.

  Consider a particle moving with constant speed sv b0u)6dz zmicrqcd:wr 9 r-43uch that its acceleration of constant magnitude is always perpendicular to its v4 zm)c:u 9w-r3r vc 0zbqd6irdelocity.

  An object moves in a circular path at a constant speed 4f5vjc) a/a ,qp0hypg. Compare the direction of the )jpf ,a4pqv0/gh ca 5yobject's velocity and acceleration vectors.

  When an object experiences uniform circular motiof.dh6uhiza v3gnpx; rju0s, 5.3scf1u9 dy6en, the direction of the acceleration iu5fendf.. vzr djy c1ugh 36s,9ushix30p6a; s

  Consider a particle moving with l6y6ca uax7-zom(zn(2 .m qhqg k4ck-constant speed such that its acceleration of constant magnitude is always perpendicular to its velox6nc7c kzm a- 4 6-(.qhko (yalgm2qzucity.

  What type of acceleration does an object moving wd woegu +0k78g+yuh byvb :1*iunkp- iwzb 08)ith constant speed in a circular8uu e* h+1vyk u)7w0inkzbb+doip w 80:bgg y- path experience?

  What force is needed to make a0ytxb 56rmr k-n object move in a circle?

  When an object experiences uniform circular motion, the direction ofc.e l)/+zu9x b+zeon z the net forcun )/bz+lzxoz.e+ e9ce is

  A roller coaster car is gj c c13kx q+,tk.atkw1 *yak7on a track that forms a circular loop in the vertical plane.txa a,c. jq17*gwk 1ykkk+3tc 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 track that forms a circular loop (radinmz hz9jrk2x818 e9aa5n h,o zus = r) in the verticanz9 xen2 ,8819 hamrz5okh zjal 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 point?

  A pilot executes a vertical dive then follows a sem)a; 9;6 kjgwlkj:(tdpvy- w clm:oa5n i-circular arc until it is going straight up.:9lj okw;awa):6 klmn- jvgdp5y; (t c Just 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 of4ygj6ut38( gada ,q +ikkqx-x 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*dv-ycc;kt o ; 0nvhv1o7wqb3 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 curve for the so; 3wcqhc0b1-*dykv;vo7ntv econd time, compared to the first time?

  A car goes around a curve of radius r atd n3b- 6ra0pbx a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is ther6p 0naxd- 3bb 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 radius r with speed v;vzr 2nvb1 gxwmf- 1l6n w-6sn. If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of m6-n1wnl6bwvfz1 ;xn -2g vrsthe normal force on the car from the road is equal in magnitude to

  Two horizontal curves --np tf.pp,jze89w zh on a bobsled 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 sape-ph pj9 z,fw.tz-n 8fe speed on the larger radius curve?

  The banking angle in a tuoffkw7nl w7.ch6uq1.rn on the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentiona hffwwo.c 6.qnu1l7k7 lly "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object movinn/(f6blmsup .4s pmq/khyl,b . em:)fg around a circular path to have both centripetal and tangential acceleratioeps./:b lbq.m 4fkyumhpl6f,/( s m)nn?

  The gravitational force between two objects is proportionalr )ev50ytzy1mqi 3vo . to

  The gravitational force betxa 6 csf,q7r0g +dzqm:ween two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance betwpf9id *;mky u,een their centers is cut in half, the gravitationapdk,;9yi* f uml force

  Two objects, with mass xje .-xntvrr;)2iyz8cp h(e+es $m_{1}$ 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+ i9n z,da-29if/a;nk saho+yrlr:kb $m_{1}$ 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 gr)q jilod37odox 2r w.c,lj*6iavitation.

  Compared to its mass on the Earth, the mass of an object onj:;fw16e9qa vl5mn3l s- ty ii88doq y the Moon is

  The acceleration of gravity on the Moon is one-sixt:0epka,n ocfx- bf0m4h what it is on Earth. An obj-0f 0m,ope4c banx :fkect of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's su 3wse s+nves2),4 kxgxrface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is hvj paa6a0 9e3it beyond the pull of Ea 0pj3eaa9a 6hvrth's gravity?

  Suppose a satellite were orbiting the Earth jpgjti9l.0 7/iuevye -/ymb 1e ust above the surface. What is its cent /7ee-1tipb.90/gujvie myy lripetal acceleration?

  A hypothetical planet has a mass of half tvcee -(snty4 *jsb5u* hat of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the plcv 4s**ejue(t5- ybsn anet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon jcf1 p,o+r*wy is one-sixth what it is on Earth. The radius o pjc1+o wyf,r*f the Moon 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 has twice thq1 d;c.y ee8ttds,h(ekoa:9tr gph*z o(j04ke radius of planet A. If planet A has mass m, what is the mass of planet1.4 derc thy9,og8a 0ozek es:ktd( ;q( htp*j B?

  Two planets have the 83w clpbb f,g+i3zjoj4czj/4same surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of plg 8i zz, b3ojpjcw+344lfcbj/anet B?

  Consider a small satellite moving in a circular or*uw d(4 lj3lambit (radius r) about a spherical planet (mass M). Which expression gives this satelliw(l*j da3m4ulte's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in k k2uevcq4q3ld (x54hthe same orbit. Compare thelkdhk52eqxqu434vc ( two satellite's speeds.

  A person is standing on a scale in an elevator acceleika(nis3mw4i8 tx zq3: 4fs1erating downward. Compare the reading on the scale twi e :84qsk 3siz34x1iftma(n o the person's true weight.

  Who was the first person to realize that the planets move in elliptical t(a 0ngh+6a umpaths aroamh6 0uang+t(und the Sun?

  The speed of Halley's Comet, whqb.niui*y .m4 ile traveling in its elliptical orbit around the Sq*bim4uy i. .nun,

  Let the average orbital radius of a planet be R. Lagnm9*g8i uiz3n:h 5aet the orbital period be T. What quantity is constaa5ni3*ahgu 98izg nm:nt for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Anko hd19; vd+t1m hq7lqdromeda, 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 pla k 9; omdq+711hlqthdvnet be, compared to the Earth's orbital period?

  The average distanceq 32entn4k:i x from the Earth 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 avera:n2 inkxq 4te3ge distance from the Sun?

State Kepler's laws.v3wlzjrl00*vjqs,6)3(m1 b w us x gfc

  List the four fundamental forces inv2m/ladmx hj )mc.) s+ nature.

  An object moves with a constant speed of 30 m/s on a circ5 i2 fw61betx j8d(xwn3kabx2ular track of radius 150 m. What is the acceleration of twxx 2jxfate 2 5bnki3(1d 68wbhe object?

  The maximum speed around a level curve is 30.0 kmr2 b ;bk)mv/cg81is ov/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remain unchai)moc /krb v;18v2s gbnged.)

  What is the centripetal acceleration of a point on the pefs /w/esy3 njzh9t0 i1rimeter of a bicycle wheel of diameter 70 cm 3/wit9j zes0y1s hn/fwhen the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is lgl+j z1:6mihcszq*.k ocated 0.200 m from the axis. What is the centripetal accelerz6k.:1cl*qj gsiz m+hation?

  How many revolutions per mzj0x ami/; ga8-,stg qinute must a circular, rotating space station of radius 1000 m rotate to produce an artificial graa-tmxi/0jzqgs ,;g a8 vity of $9.80 \; m/s^2$?

  A motorcycle has a mai13zf cfb0;q 1dl*idn ss of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal foriq; 1*fd1 l03 fnbcidzce on the motorcycle?

  A 0.50-kg mass is attached to the end of aiqpw .oj5ptd7 v/-x5g 1.0-m string. The system is whirled in. jgdwx/7 qtp5op5i-v a 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, iu 6ok ((ftu;dl3b-8nbkpb xc:s 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 stone's speed at this point is(bcubkk :odtf6n; x p(u3b8l- given by

  A stone, of mass m, is attached to a strong string fz01m/oxkh;zkt3v plj yw ad92 w.8x.and whirled in a vertical circle of radius r. At the exact bottom of tt9fo /vk h.m3w1zz d a.x;yxjpk8l2w0he 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 experiencsc z7;hmnkprwf9 e43a4z ,p(aes an acceleration of 4g when pulling out of the dive. What is the radiuzasmz h9 nrc4 e4 p3afk;,w7(ps of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the c *7zx5wn l 8;nlpv v;lrkcv/z(enter 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 h v;/lk7xz;lp(ncznv85vlr *wis normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weight. What isdsml9 p)-li(v the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can toler -vlp )9dmil(sate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve witrtq-; xtt 1rw31lxwm )a 9r,.ql 4it(qowh5 elh the tires on the verge of slippml,5; t.a13r xq 4r9qw)qrl w1 i-eh(t txoltwing. 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 flah5 ely(ta8- c kr74jght curve of radius 50 m with a speed of 20 m/s. The centripetal for( rl5kt84ge cja-h7hyce provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat3pt+hq 6i i-up,r;ksylq+ xs2 curve of radius 50 m at a speed of 14 m/s. What must be the minim ux qislp62r sq,yipt3+h-;k+um 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 c /fy1hwhaeknvg9jh 6u9 /47hn3) qefdurve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if the car is to stay on the 3nkn)j y9h9afq1e67/ v/h4dhwhgeuf road?

  What minimum banking angle c8wfa3;awz:x7;/ g lm* ci vct*knof7is required for an Olympic bobsled to negotiate a 100-m radiu ma*3wn*c;ofi77 8accfw;kl g :x/vtzs turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on q.sjrkns0l wr 3 6pn01a 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 m, banked at an angle oa 3uvry -.d3vqf $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is b5n( ,g:orlfck n(vvo9anked 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 horizontal cirzp mnlm// 5ej/n(c:l xcle of r5mzlln//:cpj/ n( em xadius 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 acceleratmom:koq-ck 6- es at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fi:km k-m oc6o-qll 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 codne(j7/ r: yqedk* ti-nsists of 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 f97ldv jbz73h on a 70-kg person standing on the Earth, due to the Moon? Thvl37hbdz f 7j9e 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 masses is F. If the ma 5/b:h bq59 8axihndez;r7 zzesses are moved to half of their initial distancz qhbrhz d9/ee;5 78azx5ib:ne, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance fro e00d99 s2wk mbd:48hqzg snsvm the Eartdns0 9km b9s84v0qse2h:zdwg h will 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 Moonbrnqo3lop qo2/u04 (u 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 t:b ,pk7w/db6a0 9dekjoy + ewnhe Earth equal to the radw y,/e+o79dp6 kbwnekj0a: dbius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance abon, *3,r 8o9rx2aht,r3q3zeuk nfowrdve the Earth's surface will the accelerqo*u,,n k, w r9fr33az8x3r oend r2thation of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a di m3ubx38u ,dkjstance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, aubu mjd338 ,xks compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some plawuoiufc-sifcw-s:) o11 ag.; net's center, the acceleration of gravity iowic 1;-if:sfsu)wu 1 ogac.-s $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on td/m) r lqa(x1.o oc0yvhe surface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is its weightd.1( )xq/ yvr0aooc ml?

  By how many newtons does the weight of a 100-kg person ;tvzmv7g+)yfjb y2,r -f3ze cchange when he goes from sea level tj3c;vte yg, +bm )2vf7 zy-frzo 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 ta8,r-)8 r e xengnz ejjs2m79hhe Earth's surface. What is the satelle 8 -7jm8 r2nx ),rehnje9agszite's weight?

  A spherically symmetric plan7,r6xm shy5z )k ,oq:mapn ,qeet 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 muc n h7,5qk,oxz:am,m)p 6erqsyh would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on thbg/ mn ulynpwcqp 028/1s2ltexo/oyhd o7*3*e same line, with the Earth between the Moon and the Sun. The Mocw32h27ysyn0u bglo /epl ptox8dmnq1o**/ /on 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 Moon.b 6)cwvr3wbpmhf7h;*/ 7 ygtf
(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 ;erix : u5a)esv/:eeqabout the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (Thea uxs/;r :)viq5e:eee mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low cirmfpnl0giq * * vyp )e2w4(r:alcular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (Th4l0*p p) :2a m* iw(yqnevlfgre 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. c tyx*69sal b5 It is observed to ha* a tylsx569bcve 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 Jupiter, has an orbital di3t1rfj)h3d 6g-lb 67ugluak bameter 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 k*y r yw0oh2p)obmu 9z g j(d7.5b5 reof81aqrplanet 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 planet in nearly circularw ;o4rn p f l+w6zzrjf;:t)nvdc7 e29q orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. oljt)pnw n 2;zfz4f; ed9rw 7c :qr6+vMoon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isa31.sc0i gd/c* )iwt*kmlo ,dpl rju/ $7.78 \times 10^{11} \; m$ 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 1f0b6k0 pn3gz5eg3js a2 years to orbit the Sun once. What is the average sjp3ag b 300 fzg6kne5distance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)