Is it possible for an obj2- ldjme:(k 0wk k.yn a2beao)ect moving with a constant speed to accelerate? Explain.2m:k wk-eja2.ld)eny ok0 b a(

  Consider a particle moving with constant speed such that its acceleration ofdc x )7hut56j 1ak6hmvo h6j(w constant magnitude is always perpendicular to its veloc(hhu5x7 dj t1 m66a6jkho) wvcity.

  An object moves in a circular path at a constant speed. Compare the direction gcer6,w+ zq 7yc 0he1iof the object's velocity and acceleration vectoei+w,0cr1ehy cg 7 6zqrs.

  When an object experiences uniform circular motion, the direction ofvwa o0m/cr(.gzs p.2m the acceleration isgwm apors 0m.v/c(.2z

  Consider a particle moving wq+o iv4vu7qf9tt: 8k )i j4jzhith constant speed such that its acceleration of constant magnitude is always perpendq+it9v4:j kf4 ozvh 8q)itj 7uicular to its velocity.

  What type of acceleration does .hon1+y-8 f/m7hag* ag)s m:a k,jwrreoeq7 gan object moving with constant speed in a circular path agjghger-nh :+ /y 1qmak*o7rf8am7sw.e,)oexperience?

  What force is needed to make an objkpe) m(ygd;s) k3fnf-+j j3 wkcb(2k cect move in a circle?

  When an object experiences uniform circfoukb,r 1 n b(i/pl(f2ular motion, the direction of the net force up lfbi,n2kf1r(b (o/is

  A roller coaster car is on a tryp.v ;)/ orllmack that forms a circular loop in the vertical plane. I) mrpyllo ./;vf 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 9x(oa ctc00qg= M) is on a track that forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the track at the top of the loop, what is the minita9g xoc(c q00mum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc u/pv iuobr 6c2haq;8e 6ntil it is going straight up. Just as the plane is at its lowest point, thh2;uq6v 6oiae b 8/prce 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 cur77 k a hl8oygyr0zk+ajx)v6-u w4 lwzxi59ch4ve of 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 a constant speed+.t ki)yqtfi;nj,z+ l v. Then it goes around the same curve atl. z)tf+ qj,k+niy;t i half of the original speed. What is the 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 avybknd9n-i n )0 1pff, constant speed v. Then it goes around a curve dv nby-0) ffi npk9,1nof radius 2r at 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 radizhi 6esel)o4ch ntv19d 6 qrco.; 3bo4us r with speed v. If the road is friction6.sb ch9c4 3lr tiz1odne e4oh qov6);less due to 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 bo*e/+ 0lb r4pgvp07i6h vjsgkwbsled 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 cpvg7gl6kpw4*h 0r+eis 0 /jbvurve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is not constayfliz2e,cre 98q 64 ixnt, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out of the turn. qcrlf6ey294,zxi8eiWhy do they do this?

  Is it possible for an object moving around a circule/.gj aihr9 q)ar path to have both centripetal and tangentgqia9)/ e .rjhial acceleration?

  The gravitational force between tr d n2*a9;u6dvxfhhh*wo objects is proportional to

  The gravitational force betwexsrx 4vktyj- t) *paq)b1,1hfen two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between theiraj z0hmd2)*b4(a (dqo*w6to l 5b tndw centers is cut in halfa)d j twqho*2lob (azbtnw0d46d*5 m( , the gravitational force

  Two objects, with masses a,y6mu9 64voqf)i hlmr +zgv($m_{1}$ 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 ma,myob k pzi;e:l )xxe-7ue6 p)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 universal gravi;h mv1xm2 i7x1 fyjg /*zn2ocln :7/j vjtj4hctation.

  Compared to its mass ;zrn;na , y0wbon the Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it i z3o.5emubd9rsr- k:owo/ jn2m xu0w-s on Earth. An objebu: uoxwk2/30 s.eo- zror-wn 5md9mjct of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's suz19iqt *;lueerface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull of; ;o/ue zq3l(i- 4mhvpwe4wkb Earth's grav ;4h/lwik-(vpb4e3oqe ;uzm wity?

  Suppose a satellite were orbiting the Earth just abovbbk5v tzjq.;q)k o*8me the surface. What is itsb* zojq) t.kvm8b5k;q centripetal acceleration?

  A hypothetical planet has a )dkiu4a pej:l c we6,/1(jvg ymass of 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 accelerati jav:,(geu i6k wj/cep4yd)l1 on due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what i70pnz j4chbe2 pxp( a7t is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared27 0ppj4bzxhc(pe na 7 to the Earth's?

  Two planets have the same surface gravity, but planet B 40681jw n +carw-gu-lzagoi h has twice the radius of plan jiwgwgnlh81u z--ra 0ao4 +6cet A. If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planeta;h8 jm 49bmbn,q px9t B has twice the mass of planet A. If planet A has radius r, what 84 ;9jhmmtpn,b aq9bxis the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) abo:;:l*5wx vmmq ;5evxpbqbksjof4, 8v ut a spherical planet (mass M). Wkvx lbewvov:f;45sj8p,q*; 5:x mmqbhich expression gives this satellite's orbital velocity?

  Satellite A has twice the mass o1vto b48 u y2,m1-swb qhw(gkflz m57mf satellite B, and rotates in the same orbit. Comparemuwoq7 ( mg,fblw21h4v- t1z mb58kys the two satellite's speeds.

  A person is standing on a scale in an elevator acce ygze/95dr;fh c*-o vdlerating downward. Compare the rea 5vh yfr9o egddcz*-;/ding on the scale to the person's true weight.

  Who was the first person to realize that fx5;l5o7d pipixa : vehq* 7/xthe planets move in elliptical paths around the Sunp qli7xeax: oi7hx 55/fdpv;*?

  The speed of Halley's Comet, while traveling in its elliptical orbit aro:yg 4ufp-uf2,6ss/pr n3nkt j dfwe/1und the Susf sj t61p f2fuu4 3nwek,/d- gr:ny/pn,

  Let the average orbital radius of nj fald23o0(9toy/v lnw(a/f a planet be R. Let the orbital period be T. What quantity is constant fovntf(l2aw0o/9d f j( 3ona /lyr all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, with th-rj j)h 8q.sype same orbital diameter as the Earth around our Sun. If that star has 4 times the.q8p yh)jrsj- 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 Earth to the Sun is 97wbl;34e(t hsaam rjfke3(r defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year.;k 39a e4 wmrbt3sah (jfelr(7 What is the asteroid's average distance from the Sun?

State Kepler's laws.a 6wflp-pqevf1 1 y-fd8aj)f:

  List the four fundamentm(1ybqpg ok2. i2e3mc al forces in nature.

  An object moves with a constan*z9sq m 2 7b8b rmzvi-hppp,)gt speed of 30 m/s on a circular track of radius 150 m. What is the accelerat,z)h2b bpmpzsq7*pri-m v98g ion of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum spe.y(xr q(udx0u ed around a curve with twice the radius? (Assume all othq(0y( r uxxud.er factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bicycle oyr /wid0*zd t0k 4kmb.4ae,dwheel of dikmdw* 4oz k r04a,by t/0ddei.ameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 r5h3p gh ,r l2gxfs:jx.uw.hb0 ev/s is located 0.200 m from the axis. What is the centripetal accelerat.g p, 2sf h3 :wh.hb0juxxlrg5ion?

  How many revolutions per minute must a circular, rotating space station of radiugc ot )k qlys436(wa)a0fmh(jx zo4;hs 1000 m rotate to prof)z) oo mgy(qx3h0jlt a4;s(aw k 4hc6duce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turn at 96. phalj1;pd sl9ai c17vx:lxgnsi,+*: 5 km/h. Whalxcns vl ili + d,g* :97p1hp1xs:;ajat is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m 5oosu81,liccz+ y:vh string. The system is whirled in a horizontal circulal1 + yzi:,5s cohvoc8ur 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 attached to a strong string and whirl wel8kq j c14 u0ks0gy/wjx*w.ed in a vertical circle of radius r. At the exact usyjlqxwj8ew1w4 */k kcg 0 .0top 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 to a strong string and whirled in a vertl.dtq 5j b)1qs(:z tfsical circle of radius r. At the exact bottom of the path the tension in the string is 3 times the stone's weight. lq1 q.fs:)z tsdjb(t5 The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pullig ,0l exrc fqk 3+9;ky;tvvs7vng out of the xkvy v sgf re97c,;q0v+t;k l3dive. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop 2fh zj 2m1 w e e3gj7netzkviq63*9nf1(in which the center of the loop is beneath him) of r7z*jjztqf6w3e 32f 19ne1mhing2 v k eadius 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 can stand is about seven tim(i o.(qmvylyqfr9 4s 7es 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.47qm vf9(rq( ily soy speed of 250 m/s?

  A car traveling 20 m/s ro(itw:(j,lrk pc n)8g hunds an 80-m radius horizontal curve with the tires on the verge of slipping. How fast can this car round a second curvi ,cr)l(g:h8nwt p j(ke of radius 320 m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a fldyfj(.25c epfbk-rkx5m -w, c at curve of radius 50 m with a speed of 20 m/s. The centripetal force provided byc fc empxj- df5-(2k5,kr w.yb 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 xko;)a 0g*c)(x;lntz no ycl(m/s. What must be the minimum coefficient of friction between the tires and the roycogc; lx(nx*ok)0 ntl(za;) ad for the car to make the turn?

  A car is moving with a7ab y/ dhf).y- cpri+w constant speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum-c.y/ia7 pyfd wr) bh+ radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympaiuum1,u f8k9 ic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore frku1mafiuu 89,iction.)

  A horizontal curve on a bobgkh*fpvsq -9gtpv0. 8 sled 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, baq(+bf 5 nqlh9ae4wzoy d o2x6zta2+;knked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked a0pzo oy6joc x*m f-v9pv+r63ot $45^{\circ}$. 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 acf(l/3deo- bhm1oq fv0j56 yq horizontal circle of radius 0.500 0m3f ce65q(1/ obh vyl djqf-o
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 hqur-ntrwzxk1n 2,j u * bozngi43-.7 accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical value in tgqjn7xur*z.nr k2,w-bih1 on4- z u 3the 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 -iaidq9a 7rd; o 75 5cpqlly-wa 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 forw9ynml,*e)7ek oozw * ce on a 70-kg person standing on the Earth, due to the Moon? The mass of th9noz*eow*y),k 7 m lwee Moon is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractivey h037d4zebgx force between two masses is F. If the masses are moved to half of their initial distance, what is the gravitational atb e3d g7zx0yh4tractive force?

  For a spacecraft going from the Earth toward the Sun, at what2;sv2yfj hy3r distance from the Earth will the gravitational forces due to the Sun and the Earth vs ;2 y2fyj3rhcancel?
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, bgotqj2u2.j $7.4 \times 10^{22} \; kg$ 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 the Earth equal to+iz8jxc( mirrd m/3+u the radius of/mdiux+ irmzc j+r3( 8 the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the-c1btu4/9/n ulxj( zo oxiy+u Earth's surface will the acceleration of li/bux-(+zo y4oujn /ut cx 91gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal ,qvmft )xlo+9to 3 times the radius of Mars. The acceleration of gravity of the satel9q,t+)l o mxvflite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleration ofxdtxe-yj:5 no/hqe) 8 gravity isod:8xqx-h )tenej/ 5y $32 \; m/s^2$. 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 Earthb,,jyy8xf *ithl 8 wd-j35xgb has radius r. If the object is raised to a height of 3r above the Earth's surface, what j ,8t 5by3,bd-fw8 ghxxjlyi* is its weight?

  By how many newtons does j (a w2 o1nr;mepjjdo,wczdl* 74, 0rltx6;ky the weight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean ;wadelj;2 opwxo74 k01(mjt,yn rjcz, *6dlr radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A itwmntr3uy4 jmifv2 yu/48 ,kl **,swsatellite of mass 100 kg is at a point 3r above the Earth's surface. What is 83*,ljtyvun4yw /m2,fsw it 4 uikrm*the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass aw vgexxm0.p()nd twice its radius. If a jar x0e)(v. pxgwmof peanut butter weighs 12 N on 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 zi*g;d2tzx(,tnf7q c lie on the same line, with the Earth between the Mofitcn27q *(zg,xtdz ; on 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 transport,t+s kj** xynned 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 circio y)64yet9s6a*c3 hysu qa k7ular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite?i96ua y6 t)qeys4k37hsco ya* (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the 4eo5q-qe k8s w4 b6usgEarth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around tge 44wqesu 5k8o-qb6she Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the sltnr)yj. 1f ;/.avv 3jw/rbvt;wc+ kv urface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The .nrwjftj wc+ vvv; tyb;v) 1r /.3lka/mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupic2 l-hny+hs8u+bi l2q ter, 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 Jupiterkmr: h8se,k qd4e*8c u orbits the planet 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 circular orbits. Moon A has orbi7- w i0s0ijdngtal radius r, and moon B has orbital radiu 0idgsi-n70w js 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isqh,d17h9+me: qicxg n $7.78 \times 10^{11} \; m$ 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 no8m/r e znj,.i+eqgvqkad 7*(4rx9t12 years to orbit the Sun once. What is the average d8re7 ,kmta xiv +o(4g /9znrjqnde.q *istance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)