Is it possible for an object moving with a constanh, 4 ufn:slq-mt speed to accelerate? Explain. :sm,4fhul- qn

  Consider a particle moving with constant speed such thatn2osg- i qzv-/wc.k -p its acceleration of constant magnitude is always perpendicular to its velocitqsc-zi v/.-2k -p wongy.

  An object moves in a circular path at a consmdn b-vwsf3,.5ub1 c atant speed. Compare the direction of the object's velocs ,dubna5bwf1.cvm -3ity and acceleration vectors.

  When an object experiences uniform circul(* v rxn:8rd9ha i-g8wm;p; polnkoy :ar motion, the direction of the accelerati 89pyn -( ;rhxvlwp;*dron :o:kmga8 ion is

  Consider a particle moving with constant speed such that its accelerllfkg*k su 7.t6 rvt1-f1)clgation of constant magnitude is always perpendicul*6)g-c kk1tl.lf7glr 1vst uf ar to its velocity.

  What type of acceleration does an object moving with constant speed in oa owhay qp z0 )ij63e4j/s07eeh(( wfa circular path exp3ah6) s4p0ja7o/(wwfj h e0q ( eyeiozerience?

  What force is needed to make an object move in a cirnn5afg58j5 okcle?

  When an object experiences uniform circ;l+shfx0a5 siular motion, the direction of the net forc; l5sf xi+sh0ae is

  A roller coaster car is on a teod m7/j ly5 kn6z0hmm.n1n;m rack that forms a circular loop in the vertical plane. If the car is to just mai;z m7m6 5.n0em mnhkj1n ldo/yntain 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 (radiu:wd4fjhw e dx;1y q4t2s = r) in the vertical plane. If the car is to just maintain contact with the track at the top of the loopw4feh tdd2; 4jxw :y1q, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then folcgl9 9k ntj5hdr)x oee:8ltu;kom4 1)lows a semi-circular arc until it is goo8j ul1r)4;9l)5tec:k onh 9xdkg t eming straight up. 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 of urfy.6+mtifv:e 6m, - ej/ftl 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 rae1dm7bcl 1 9seyg:z78 a)hnlv dius 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 n:g8clh amel9)7 1 bv y1ezd7scurve 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 goes am,(.git*0 hf*hc svbs round a curve of radius 2r at speed 2v. What is the centripetal force on the cmg*(tbc0*, hs.hi sv far as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius46kcwgl -d eb.*. d 7rfchjjh- 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 j7..ew -frcjcbg*d6hh lk-d4on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same angle, but one ixqtn;nu z -m3m 1t;(-ak 7kazhas twice the radius of the other. The safe speed (no friction needed to stay on the run) for thez-t7q tiu a axm;3n(zmk;k- 1n smaller radius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on theya6. iwyd n*di- c)n.v Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go.y)iv6i ddn* .acny- w lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to have botpsp+iy, i mem6/u7ih sw8c4zv+v6lr3fr-a ,hh centripetalrw m,iescy-6i 4/ifuv rsp ,h +lzpm+vh673a8 and tangential acceleration?

  The gravitational force between two obje+ ,q,rab)vq xrgh cx)7qm2 :qects is proportional to

  The gravitational force between two objects is inversely proportio1k zcor7w zl 34cmam*/nal to

  Two objects attract each other gravitationally. I :mru8k0e9ozvnww-kg 1m00 grf the distance between their centers is cut in half, the gravitational fr w k00zm mggr90kn8v-ou1w :eorce

  Two objects, with masses*,ig8o zs c4efnaxw 9; $m_{1}$ 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 masseou2:swta) kpjxf 6x34g+2svf s $m_{1}$ 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 gra)alv:i a6dlv9vitation.

  Compared to its mass on the Earth, the mass of an object on the Moon iyy c/ejlv 0kwd+.bl,7 s

  The acceleration of gravity on the Moon is one-2t*ec8 b3bk2hh rsgy)sixth what it is on Earth. An objehe2b*8r tsb2 c3 ykg)hct of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's sui9ghk(ap( 89xq t xcn/rface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull ofz14 y/3p4a/yea vffluig vm7. Eartevyy/4l1g37u/ a fpmva4 z.ifh's gravity?

  Suppose a satellite were orbiz7s67rsj7uaj ting the Earth just above the surface. What is its cesa67jj7s 7zr untripetal acceleration?

  A hypothetical planet has a mass ocpy..9umz q0xf half that of the Earth and a radius of twice that uq .0mz9 y.xpcof the Earth. 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 itn* ksxz 12;wyeo9c kdz-t7 /he is on Earth. The radius of the Moon is one-fourth that of the Earth 21d /-ywo7zkxnks*; c9etezh. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, btsooc,-c 3y 2m,c8 p-nuen6jmut planet B has twice the radius of planet A. If planet s, -em, c2yp-otc8n6cuojm3 n A has mass m, what is the mass of planet B?

  Two planets have the same surm.np cg5(nxd6jiq3:n face gravity, but planet B has twice the mass of planet A.56n3xqjpn:m gn(di.c If planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r))gnmd3ir kf-- qfmh e82bvl,- about a spherical planet (mass M). Which expression gives this satellite's orbital ve)q-8rfig-m l kmnbe,3 d hv2-flocity?

  Satellite A has twice the mass of satell;2d.n;vq n*p3qmflmo er u7q*tv m:e 9ite B, and rotates in the same orbit. Compare the two sateq*7m. elfm* q ;qo9vn u;p:mtd2v3er nllite's speeds.

  A person is standing on a scale in an elevator arh.o2b h+ ,wh;a (tlbaccelerating downward. Compare the reading oah.r(oth wb h;,a+2lbn the scale to the person's true weight.

  Who was the first person to realize that the planets move in eq*mnz+y6 v o(y vfw. fum4ovuet3 f1/3a ,i*ujlliptical paths aroun* 3vj,q1e3v u6v nmai.(f*4yf/tuymf w z+ooud the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit arounehl8brb 4qm.rmze .(.d the Sz8b m .h.l (be4erqm.run,

  Let the average orbital radius of a planet be R. Let the orbital period beqnfsw-/j pt66 T. Ww6 n6jsq-t /fphat quantity is constant for all planets orbiting the Sun?

  A planet is discover :;qj8zw lc*7y4yocfh ed to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth arounwy4qy*8c7 j: zfl;hco d 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 orbital period?

  The average distance from the Ear26.k v/ndm78tz6qrqpnz . s 0y4qncieth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a 6e/. ct8kzi60q.zdm n7vp 2ynrq 4nqsyear. What is the asteroid's average distance from the Sun?

State Kepler's laws.prfhybk4 .+owefd8*b4 m6 su h3 sdl(0

  List the four fundamental forces ;ey w9f//yrlt in nature.

  An object moves with a constant speed of 30 m/s on a circulyn itiu*nj1s;:k8dh * ar track of radius 150 m. What is the acceut:i;1 kydj ninhs* 8*leration of the object?

  The maximum speed around a level curve is 3q 3:qawdou8) qzdv;i 00.0 km/h. What is the maximum speed around a cui)u vqqz3ow:d08; ad qrve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter oqlm/;ua 1) 2* rj* sxm qnkk7oqx.anq(f a bicycle wheel of diameter 70 cm when the bike is moving*2 x.r()x;mj*qu q7q1na/knlok qsma 8.0 m/s?

  A point on a wheel roykx3 gl0+w7(kjd)j jc8a19txca4zkk tating at 5.00 rev/s is located 0.200 m from the axis. What+)gcj1kxzc9jw7at(kly k4 a 03j x8kd is the centripetal acceleration?

  How many revolutions per(c )e2w9 u5o6xsrmo ftjp;is 3 minute must a circular, rotating space station of radius 1000 m rotate to produce an artificial 2p3ueoct6(wxiojm 9s 5fs);rgravity of $9.80 \; m/s^2$?

  A motorcycle has a ma6(aeg pq 99vij ke.a1ass of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What aeqg9pje9a1 v.ia6(kis the centripetal force on the motorcycle?

  A 0.50-kg mass is attachej9 83gc8+b 6uhymd -,o0j;v tj ieq :rdhktx7xd to the end of 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 ish jo 6 vru8ed3qdtmb jx-0t9j8gi: c;+x,yh7 k the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whirled indjgo 0v kbm pfc *nv--li0flbhl/i;y ,: 3e/c* 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.b bl -i0m-0lvjkpe /,d*icv;ff/ ocn*ylg 3 h: The stone's speed at this point is given by

  A stone, of mass m, is attached to a strong string and whirled in a vero 1ezn-*uisb4xm; fh )tical 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 *i-4z1mn xh) e;oufsb this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g n j k3l;ow/yv*a04 hb03,truk8jqvtz when pulling out of the dive. What is the radius of curvature of the loop in which the plane iajw;0hokzl/3 r *4t,30j qv ytv8nubks flying?

  A pilot makes an outside vertic:onz/ui wj9 qq .kjd5,s5i2eg al loop (in which 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 we wsjq.2zignj o,ki /9 :qud55eight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weightvkywz9 lyi8/:. What is thzi v98yk/yl:we minimum radius 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 4 w73(l4; n y,d:tleio4 u gwqnwzadr4h3hx*uwith the tires on the verge of slipping. :4 eutdqnli74unzw3a 4*,wh d4xogw(l h r3;yHow 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 curve of2 )9gpeodl.xbg6 u0n)s7hf 68la ywwq radius 50 m with a speed of 20 m/s. The centripetal h0a7.b6delg 2)g suf8wyp9)xl nwoq 6 force provided 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-n9 xspo82 /gtqb vw4v 50 m at a speed of 14 m/s. What must be the minimum coefficient of fricwt /pvg9v4bos-8qnx 2tion between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v ac iyhupq ,4ba .2srw-g):3w tkround a level curve. The coefficient of frictb)c-ywp 3. k:iu 4,thq2aswr gion 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 road?

  What minimum banking angle is required for an/6 bllz- kkur6 Olympic bobsled to negotiate a 100-m radius turn at bkklzrl6u- 6/ 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at)3dj5x7 jgo ko 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 rad/k6 zr icvxo q811a. m:zreiq:ius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m ijf,sp-w0;5 ssig:am s7uwqb5+is;yt1 r va1us 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 revolving uniformly in a horizonv2yuxk 6 e6o9ogz.p 53+pyhtotal circle of radi+ykhpe5 69tgpo .v 2x3yz 6uoous 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 accelerates at a uniform rate to 24;m; ty zmujza speed of 45 m/s in 15 s, moving on a circular track of radius 50;4 y;u z2tmjzm0 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 ;boqcbr1tnekf4.)mi :1z 2roof 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 on a 70-kg person standing on the Earth, ijh oh 2a; 5z*jq*pkjwm*5f 5kdue to the Moon? 2*i pw k5 ;j*f*o5mjj5kzqh ahThe 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 issey+h* *rqun-fzh . n0 F. If the masses are moved to half of their initial distance, what is the gravitati*-+eh0rf.h nszquy n*onal attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distancec.,g oho-0ok 6 eer2fs from the Earth will the gravitational forces due to ese g f2-6rcoho.o,0 kthe 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 8bgfzhg q4rs:1.s oq* $7.4 \times 10^{22} \; kg$ 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 outrx + .h lln, -nc4zwo5cu7mnx)qx8r5 c for a "space-walk" at a distance above the Earth equal to the radius of the Earth. What is her accelera-,qu8.7r )5mxwohnzccnx lcn5xrl4+ tion due to gravity?

  The radius of the Earth is R. At what distance a4ski/2ibn 5 fxe/ao:o bove the Earth's surface will the accelerato/4 f5ke isx:a2o i/bnion of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a diaa5njhu7m87dwn l0h. stance above its surface equal to 3 times the radhnd lh 07amw5j8 ua.n7ius of Mars. 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 centu 3cpkivz6d;46 jtht7yht*)rer, the acceleration of gravityth4; r6k3uztdh )76tivyj* cp 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 r7)7 t.;livykw6:n ukmop4 ve tadius r. If thwvmpyo746 uke7nv)l. k ti:t;e object is raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight ok2d /naxqt 0mv57(av tf a 100-kg person change when he goes from sea level tm7/ 5(qnv adt2kx0atv o 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 2*15z x/(b cc h d3ja1i1rmajpg 3gupokg is at a point 3r above the Earth's surface. What is the satellite's a 5p 1x aj1oug*ig3c (hcp31m/ zbj2drweight?

  A spherically symmetric planet has four times the Earth's mass and twice its rah1zpl:-oeqz5 i+7 pz kq4 0aafdius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how m-e 7az1l 5f +ohpqz:4kq0a pizuch would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the same line, wlsum-- wcw w6() nnq0fith the Earth between the unwcw()l0m- wn6 -qsfMoon and the 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 is transported to the Moo:wkh6r9l21mha 5 aimtn.
(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 gb lb 7tstd.7td 2pz2)(i.e., it just skims the surface of the Earth). What is the tdbl.27)stt2g pzdb 7speed of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular o2. lgk*ps2vagh/p:l 9- pbljqrbit about the Earth (i.e., it just skims the surface of the Earth)lgl2*vg p/k:ph lb sa p2.q9j-. 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 orbit 230 km above the surfacge- e2+kr eyx/e of the Earth. It is observed to have a period of 89 +ge/e- ex2rykmin. 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 diameterww0/y g-oo , rfkqp61p 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 o0t+*i(jm dcg0o+ jn gradius 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. Moos v1 e -, ,g)g7inkgd6cank;xwn A has orbital radius r, and moon B has orbital radius 4dwngkk ,-i7,;xa6 sng vgc)e 1r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter iswj 6pahv0((yarff ;yxwjrfh 7) + 2v6h $7.78 \times 10^{11} \; m$ 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 wmo syq b2+dq)tu)x 5,orbit the Sun once. What is the average distance from Jupiter to the Sun? 5 q+ux)t sm ,odq)bwy2(The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)