Is it possible for an object moving with a constan4e ms qmzam y266+f5d)87j ni:hqwl jrt speed to accelerate? Explain.:sqirzwa+ 76md4 mq)2lhefnym5j68 j

  Consider a particle moving with constant aanap+7a gua;gat75wxz 7 (g:speed such that its acceleration of constant magnitude is always perpendicular to xngu gg aa(az t7;pw+7a 5a:7aits velocity.

  An object moves in a circular path at a constant speed. Compx9t 5nt88b o ,6qognesare the direction of the object's bgtn5qxs,on8 6 9et8o velocity and acceleration vectors.

  When an object experiences uniform circular motion, d -o :x0v089duqwhz:o: udi fzthe direction of the acceleratixo9h-di zw8: dv uu0 f0:qzd:oon is

  Consider a particle moving with constant speeld1,0u7.vd aj yem h3kd such that its acceleration of constant magnitude is always perpendicular to its .vk yuhemld 137d,0aj velocity.

  What type of acceleration does uhu+av2so7hzo,0 x :kovf :oo61 n(qzan object moving with constant speed in a circular p oq0zvs(a khou f 2on ,6u1ozv+h:o:x7ath experience?

  What force is needed to make an o.djwt (:*z yjcbject move in a circle?

  When an object experi;j/aoduolxxyect) c c738vk (ch17+uences uniform circular motion, the direction of the net force isdahy(/e xc+ uxvo u873 c7c kljo1)t;c

  A roller coaster car is on a track that forms a circular loop in the vertical d. ce 6vu3q9yloje2v) plane. If the car is to just maintain contact with track at the top of the loop, what eo e. u2d 63)j9lcvqyvis the minimum value for its centripetal acceleration at this point?

  A roller coaster car k(wulx +a 3tj:.pjm 9p+q po(g(mass = 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 minimum value for its speo w g .p9l (japuk:x3m++jqtp(ed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc until it is go lo9 mi*ijfk f 2 g:ly3fwdlsk407be :4o3n(zging straight up. Just as the plane is at its : 9fk m*inos0l(4 oe:73 ygfgk4jdlzlbi32w flowest 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 s;p)9jpnh)2pf0u c sp 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 v. Then it goes arou1 o65 t;pt6 pdhz* hx9-nhylvsnd 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 second time, compared to the firstyh9pol*tvp61n 5d-sx6 th;zh time?

  A car goes around a curve of radius r at a const)5*stn3 m rbw(9ftt nmant speed v. Then it goes around a cunm 3sr) f*t9tw5( btnmrve of 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 rad edihv/ n+(j/gjcjgqzm9)v 7* ius 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 on the car from the road 9cd vjzv/e /gm+ji()gq j nh7*is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same angle, 07 i-atwl mnj; mfrd(r*oq06wbut one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radius curve isoqf 6di nt; ram(j*07w-0wl mr v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is not constant, but xj3 o*mxb .;aoincreases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "cbx*.m;3ooj xa limb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to have both centrip s o(.qtt;mbr w. f:aagy.*6baetal and tangenti *stya og:rb6 qw.;.ba(. fmatal acceleration?

  The gravitational force between two 1le 3fef( dg*wobjects is proportional to

  The gravitational force between two obi phd cx:6e3y+jects is inversely proportional to

  Two objects attract each other gravitationally. If the distance be 61db or*w-64yvgr6er,s0 iq ,fjmr ivtween their centers is cut in half, the gg6 bwf-i j6i,6vs*,erd1yor0 m rvq4rravitational force

  Two objects, with masses e0nhj9 i/-d unoun+n.$m_{1}$ 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 maso19, 9r i z (qaqdiv1g7bt8vtq0pl(vwses $m_{1}$ 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 o sko r(9i,gyx,f universal gravitation.

  Compared to its mass on the Earth, the mass of an obje+g7qhhh -wf.ebty w41ct on the Moon is

  The acceleration of ggx0(czht ys1h0. h1xs ravity on the Moon is one-sixth what it is on Earth. An objecth(0zx xh1 h.sc0tg1ys of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket6 y jd2s,tzexcv7 w8+t's weight

  A spaceship is traveling to the Moon. At what pointifcxll;n 4()b is it beyond the pull of Earth's gravf)nilb4lc x(;ity?

  Suppose a satellite were orbiting the Earth just a ps.tqo.h/ 3dv/by3mlbove the surface. What is its cb..mh/t/yvo p3sldq 3 entripetal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radiuvhgy- )p/+ *-lp9bggcr nwx u3s of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the accelerati )gg cbhrvyl3n9/- x*w-u pgp+on due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixt:o mbgeij)t n ;rz +s u6m8rkuokn;;p1k*2(fjh what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Ear +(;rn*:j;em k 8kfzi)mujbt26 g1ksoun;ropth's?

  Two planets have the same surface gravity, but wlxuw(+ 5czghs5/:p a planet B has twice the radius of planet A. If planet A has mass m, what is the mass of pl:s g5+ulxww/( cp h5azanet B?

  Two planets have the same surface gravity, but planet B h6,- zv/ titlgias twice the mass of plan, 6tg-z/vtiil et A. If planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a spherilhd t0z7:aubtt4* eq /cal planet (mass M). Which expression gives this satellite's orbital veloc da7zh*/utqbt t :04elity?

  Satellite A has twice the mass of satel ekpg9(l))ephlite B, and rotates in the same orbit. Compare the two sepe k )hgp9()latellite's speeds.

  A person is standing on a scale in an elevator acc5hw1oyb*z ( hfelerating downward. Compare the reading on the (51zhfh*owby scale to the person's true weight.

  Who was the first person to realize th/ hidk1y 0n,vknzsrp lb.e 93.at the planets move in elliptical paths arouvp9in h,s./k1 erzbd3 . yl0knnd the Sun?

  The speed of Halley's Comet, while trav5r6o0 upmb1,e mpzjy5eling in its elliptical orbit around the 5myobe pu15zmrj60p , Sun,

  Let the average orbital ra.o galayfx ed5*tv,2 xooo1 9/dius of a planet be R. Let the orbital period be T. What quantity is constant for all planets orbiting the Sun2vgf . yoaoxel1a5t* ,d/oo9x ?

  A planet is discovered to orbit around a star in the galaxy Andromedj:vku3is+- a8mz;s gfa, with the same orbital diameter as the Earth around our Sun. If tham;:ivuzj sg3kfa8 -+ st 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 Earth to t shgz5q(dbnmk; )e9s v70sd9z he Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid'sz m0s dn;sgz9ve75d 9b()shk q average distance from the Sun?

State Kepler's laws.o6tm 00cbuot.r :-t wj

  List the four fundamental forces in0czhyzv.39oj u 3j,q p nature.

  An object moves with a constant speed of 30 m/s on a circular track of radiusef2ss(flabhcw;f1 w b3 h ,j47 150 m. What is the acceleration of the object?7ascfl4hj3eb(1 hf fb,;ws 2w

  The maximum speed around a level curve is 30.0 km/h. What is the 2tlmv;t4 x+bj1-qiiymaximum speed around a curve with twice the radius? (Assume all other factors remait2+ -qvli j;b4xi tmy1n unchanged.)

  What is the centripetal accelerav2 03-ytqy sqvtion of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0tsq vq-2y3yv0 m/s?

  A point on a wheel rotating at 5.00 rev/s is loca6 td tez5sr/r+ted 0.200 m from the axis. What is the centripetal t5 dre6+tsrz/ acceleration?

  How many revolutions per minute must a circular, rotaj/ 1m8x d2vcvlting space station of radius 1000 m rotate to produce an artificial gravity ox1d j8 /cvm2lvf $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes arounram/gi,/ si6*04 r6zhs dyx,u ccn/imd a 13.7 m radius turn at 96.5 km/6/isza,0 ,4cm/ uihy 6dx/*rmgcr sinh. What is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached toa6(:x echb 7cf 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 is the maximum speed of the mas:7(e 6cch bxfas if the string is not to break?

  A stone, of mass m, is attached to a strocfb*uv-cpuwk 3m2r2 0ng string and whirled in a vertical circle of radius r. At the exact top of the pamkbpur30c2 -*w2uvc f th 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:6 f0 nrxh4gmh whirled in a vertical circle of radius r. At the exact bottom of the path the tensmhgx04rh :n f6ion 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 ef t xfp12,mys)xperiences an acceleration of 4g when pulling out of the dive. What is the radius of curvatuf)xt mf1yp 2,sre of the loop in which the plane is flying?

  A pilot makes an outside vertical lz v0jk pi6-c)moop (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-hp-mj)60 vk czialf of his normal weight. How fast is he going?

  The maximum force a pilot can standoog6vg wn/mzzga6s( 7bucq*3 cy6w84 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 ocgags(7z v q 4/oc6 zy6 u8*wmgwb6n3at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with thrhib6 jmx(, y3e tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficient of friction between the6(,xh rim jy3b car's tires and each road surface.)

  A car is negotiating a flat curve of radius 5 vw wv+q.y)bz t q*yp2moo1e4/0 m with a speed of 20 m/s. The centripetal force provzqb/+ 4ovopymew*1wq ).v2ytided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radu 53pb.ztoq3 jius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and3bjpqu5. zto3 the road for the car to make the turn?

  A car is moving with a a o141hcnm o(hconstant speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if the car io hch41a1m(ons to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to ww n4eys -r9vh6 k;non5 ;*ejznegotiate a 100-m radius turn at 35 m/s r9 vnj;ez6w;ose5 y*n4w -k nhwithout skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is bank()x yd(4fli ased 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 a/c -pz2tlwlqrq 7k0g* t an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bw (byxclbr+6ot)lbt (w )f fzu2,52pmanked 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 hqvmq q*2pn8 ;uorizontal circle vqnu ;pqqm*28of radius 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 thef++53 sx9sw r 6lppyep pit area, a race car accelerates at a uniform rate to a speed of 45 m/s in 15 s, mov rp3s 5y6xepfs w+pl+9ing 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 consist9+,ar5)kq6 cd szqki us 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 on a 70-kg person standing 0xc83a7owr2:v.ia mvsst0 wy8wqbm + on the Earth, due to the Moon? :+.3rctv7s mqy 28bovwsm 0awix8w 0a The 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 tey od1z9r 9f;the masses are moved to half of their initial distance, what is ydro ;eft1z9 9the gravitational attractive force?

  For a spacecraft goin6g7r9o 3z m7,y2e qga-sn qc eq n/8mk)z/stukg from the Earth toward the Sun, at what distance from the Earth will the gravitational forces due to the Sun arnq qym2zet ,g9o-u szg6a)8/ne3s/k7 7km cqnd 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 isbiv-zigc8nm8+ ..rjk $7.4 \times 10^{22} \; kg$ 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 equam 85v8ttbhkc)stf) ex+ j4o0q l to the radius of th stk+085)tq 8htxmvojfbc4 )e e Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's jxif , (y:rc 599lpgi,(ycofvw m/3pm surface will the ffwm x /9y,3(9jcgp5p:cl ,yiv(mi roacceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its sd85 9g4xsew.h et1 wgrurface equal to 3 times the radius of Mars. The acceleration of gravity ofwg5s1 4hgter9de8 x.w the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from sommi sas 31tgw10e planet's center, the acceleration of gravity i 3 0mga1s1siwts $32 \; m/s^2$. 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 radius r. Ifmdkhq *e 8chk8.b5so6 the object is raised to a height of 3q8h8 ke5smbc.h6*kd or above the Earth's surface, what is its weight?

  By how many newtons doesu )rdrqx 1 i 2qxb3 3wa-u:jqj*i0hni7 the weight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean radius 3q 7xxbh:ra *-u iq3ji0rn1wdqu j2)iof 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 abo35hc tqyjrt,c a++n)ave the Earth's surface. yqhtc53+a +cjntr a ,)What is the satellite's weight?

  A spherically symmetric planet has four times 2lky2nd x qb7pjt5+eflwg*6c5n4c+okjv. x: the Earth's mass and twice its radius. 7ljxkex+bv22 :ylqc5. c+t 4gj 5n6kwn*fpod If a jar of 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 lie 21s9w jkvpri5 dolz (cci74 *pon the same line, with the Earth between the Moon vpzci(*li 5 k7jws9 c4 1rpd2oand 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 Mol- l*rt4ba-3gjbh7q-. z kj zqon.
(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 cr;uzp1 x8ma *pircular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satelapp8u1*z;m xr lite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Ew d1(t zik+cc0rxin -p)w (7jfarth (i.e., it just skims the surface of nfw)7z+w(i-0 rcktx(1 jdc ipthe Earth). 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 sutbc 3. ft7+uierface of the Earth. It is observed to have a period of 89 min. What is the bu3.7fci+ett 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 d :y,ue3;;owwkwnb*c riameter 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 thepuvb 8)bv1y/hsd6 8i om tsxjr.-r 1n0 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 circularxru,imrvld)- .p 7 uk/(k2sdy orbits. Moon A has orbital radius r, 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 ry)u.xps-/l kd( dv2m7r ,k uiorbit?

  The planet Jupiter iim45bvc/+qu as $7.78 \times 10^{11} \; m$ 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-1yz4 4rer. :a4a; fjzvj fzeo orbit the Sun once. What is the average distance from Jupiter ;.forjv a: e1yj-z44 a 4rzfzeto the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)