Is it possible for an object moving with a constant speed to accelerate? Expl4 e- tpzmmbsawvs t 6bezk(mnq8:+6,ce85 f3r ainzz6aw 8 tf4,:re5p 6mnm3skq8-(cems b+vbte.

  Consider a particle moving with constant spee8z h3)j97lrkevjy-cbp-de1 id such that its acceleration of constant magnitude is always peere)z-dv j7-98b j p3k1yhlicrpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare th k7dy0sujw 33le direction of the object's velocity and acld3jw3k su 0y7celeration vectors.

  When an object experiences uniform circular motion, the directooo7vg ob9t* +4 uvy6lion of the acceleratioog vo6v ob7yol*49t+ un is

  Consider a particle moving with constant speed such that its acceleratrt .4vvx+.oc2my roc/ ion of constant magnitude is always perpr/mvoov xtc2r.. c+y4endicular to its velocity.

  What type of accelerat4ytt6y y:gk/xion does an object moving with constant speed in a circulary6t:yyg4t kx/ path experience?

  What force is needed to make an object m7 :::3xdmq p: sndq3lhs96jbjmas6x, e8ubrpove in a circle?

  When an object experiences uniform cirh7gg;iscyek a* /:n3scular motion, the direction of the net force isg*s yci;hn3aes:7g/ k

  A roller coaster car is on a track that formrz gr x*7,dmc)sah 9n8s a circular loop in the vertical plane. If the car is to just maintain contactmd, n)7h*9rgr xca8z s with track at the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car atl,tnp0apn,y 3sfx;ej 2+ 8d(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 tre sj ,d8tpataxp;f 3+ln 0n,2yack 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 semi-circular an 9kp a.+ s8;50 ptbkthpav9umrc until it is going straight up. Just apkn9u08 +tmv.path ps9k ;a b5s 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 cur(e d(i;v9qdf uve 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 sm es1omjj8(q/peed v. Then it goes around the same curve at half of t 81ojmsm j/e(qhe 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 a constant speed v. Then it goex fvu1zsf3 c: q5yiv9u*4gpa*s around a * c4a31pvsfuuv i* gxq:5f9zy curve 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 radius r with speed v. If the roab-t ihf y770fl:a1r ttd is frictionless due riayb0-thttlff17 : 7 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 bobeexoy 2qamsk3n bh;jt/, q8( zek5r5:sled 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 thet;eao,/e2: sj3n( m5hq rz xyqk5k8eb run) for the smaller radius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn y y7knb;a6tsw + guc8*on the 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 lower coming out of the turny* u6a t;nbwy7+g 8kcs. Why do they do this?

  Is it possible for an obj9nx myjzkvc eo2n1.0;ect moving around a circular path to have both centripetal and tangential acceleratio.nxkze jm;vc2 ony901n?

  The gravitational force between two ob9fi) is i74cgxjects is proportional to

  The gravitational forcskg g,kv9,;peo:wo3f ) ddk,i e between two objects is inversely proportional to

  Two objects attract each o*8oh vp,wawn kuj1 vchp2m2l a l6l027ther gravitationally. If the distance between their centers is cut in half, the gravitational f8l mp2ha6,7 lpjvwh2 *c21ounv0lkwaorce

  Two objects, with massv 5j41sglg;s xes $m_{1}$ 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 masse xan2 j oakjs*c)6f6fatg- ,u8s $m_{1}$ 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 gravita4fhwv z1er or8.2.sbme/km 4ftion.

  Compared to its mass on the Earth, the mass of an object a:9 3ct0x-i+r ilot*albia* lon the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. d7 :98onlmiwxm4;5ht by mze) An objecynot9mi8 l4md5 :);zx7 mwehb t of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from thefd9: +b)5mie(yu8 znmz0iwpw Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it c8u cd8u4dv2c .o.1*x e 4rvm cwips0ebeyond the pull of Earth's e42d pvuc.cd 0 .8ueo8ismc1w v*4x crgravity?

  Suppose a satellite were orbiting the Earth just above the sdh 3npmp70dhe.t6(wo urface. What is its centripetaled .63wdt phmh op(7n0 acceleration?

  A hypothetical planet has a mass of half tho -zqs-mte-p( at of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the -m -o ptsez-q(planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon) jcjro6h2t( n is one-sixth what it is on Earth. The radius of the M)j norcj(t26 hoon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the sb/;mro 9hna evqlq 9*,4 6pkztup 1f7uame surface gravity, but planet B has twice the radius of planet A. If planet A has mass m, whkn9uoh4v l6p*amt 1 fr;uqe/zp7 q9b,at is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice the mass ofa1c1 :7l q;fsnqajlq - planet A. If planet A has radius r, what is the radius of pla1: calq-1 j7lasqqf; nnet B?

  Consider a small satellisi zxh7y*l11d te moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellis1dy1x7 hlz *ite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbit. 5 o9hw*h4qy) vjn:ksm Compare the two satellite's spee*4:swy h9jvhk5n)moq ds.

  A person is standing on a scale dstnc:ci yq8;ma a) eczq3 3o/k:-5 bmin an elevator accelerating downward. Compare the qkyd3c nt5 ;imszeo:/3)-a ccqam:8b reading on the scale to the person's true weight.

  Who was the first peezyx :g;vu6iykj2 2d6/pzu/x rson to realize that the planets move in elliptical paths arop:xxdzvky u2i eg ;6/6y u/2zjund the Sun?

  The speed of Halley's Comet, os.;h yk(r6fj-fvd (pwd ,gf0while traveling in its elliptical orbit around the Surs.h ( fjpvfw0kyd-,6;ofg( dn,

  Let the average orbital radius of a planet be R. Let the orbital period be T. cpx)dj 7 y+dm,(ms dr*Whd7,m+rxpd*) sj(mdc yat quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a s2q3 (wrklogn 2tar in the galaxy Andromeda, 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 ne(3l g2rnqw2ok w planet be, compared to the Earth's orbital period?

  The average distance from the Earth to lt0+qo v.sxml.ld:a/ the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. v/t. d: mall+os0ql.xWhat is the asteroid's average distance from the Sun?

State Kepler's laws. +b vx:i9hbdquu8wb/2 z(jo0 x

  List the four fundamental forces in naturel,c/ (ifr6xkdrc-d x1 jbr37 iij+1vc .

  An object moves with a constant speed of 3gtirb(5vtb4z(x5z tv k; d2 ,g0 m/s on a circular track of radius 150 m. What is the acceleration ov5,5 vizkd;2r4g(b x zb tttg(f the object?

  The maximum speed around a level cum.3cmz6er6zm rve is 30.0 km/h. What is the maximum speed around a curve with twicez6mmzm. r c36e the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bicycle :bhuiiwx v9rq : ;ttti5j 6w83wheel of diameter 70 cm when the bike i htttii 6: ;:8bww 59qur3xvjis moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from); fbcwh* f,99a hqjev the axis. What is the centripetal accelerativhbjf;*9,aew f)q h9con?

  How many revolutions per minute must a circular, rotating space sd a z)i 0col2-ypkv2a9tation of radius 1000 m rotate to produce anck)0y2 p vl2 ia9-ozad artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes a4b9qv epznpr4 3er2b +round a 13.7 m radius turn at 96.5 km/h. What is the centripetal forbe zrrb34qe 2 p94+pnvce on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m strin5.gdr 7 octhigd3n4d* g. The system is whirled in a horizontal circular * g5r.og47h dt incd3dpath. 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 whirled in a vertical cixanam2 bp9g p6:(rh+hrcle of radius r. At the exact top of the path the tension +pbrnp2hahg(: 6 a9m xin 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 wl(ysgoow(2 n q ((ye*shirled in a vertical circle of radius r. At the exact bottom of the path the tensiooqw((yosy(l *s n g2e(n 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 experiences an acceleration of 4g when pulling7db *sd8i:ia i out of the dive. What is the radius of curvature oib si:d i7*8daf the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop is benxg4egg 7xrj;8j)4fpyeath 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 weiyxg4jf)pxgj7r8 e g ;4ght. How fast is he going?

  The maximum force a pilot c3xa-8x.xwbby9 8u9d wit,av r an stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of aau-x9yi.983w x ,dvb8axwtrb vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tig+ tvo;1tst) em*w m;lnky6z- res on the verge of slipping. How fast can this car round a second curve of radius 3z emvk-t*;w+6noltm; y tgs)120 m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m with a speed of 20 m/s. The cenxq ksp8,yj4d3 v:m1 xaj/qedv/z3u9btripetayuesx31k9b4v,8jqpa z /dx/v: qd 3mjl force provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat c,lm iy)j+fm4ms5b pe+ urve of radius 50 m at a speed of 14 m/s. What must bs5 ,mp) e+j mb+4mlyife the minimum 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 led ph4d:j70oeo: fb5dpvel curve. The coefficient of friction between the tires and the road is 0.d dp:pebd7 oj0fh5o:4 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 d x/t3ziu9e ew/8yl:s to negotiate a 100-m radius turn at 35 m/s without skidding? 8/ext3:y9z/lw is ude(Ignore friction.)

  A horizontal curve on a bobsled;5m irdy q-ce pa89qa b50qiu8 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 r ;8kprhop 0zsqs3vn cjjj udtbz:+;0v3: 2qu1adius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m dckly2xx:m 2,t4yc2 - m,,pz*n csj scis 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 horizontalkbw9 ypg,0n r5g, 1llt circl, g9wkl g 05pt,yn1brle of 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 the pit area, a raceku+;r egvan;b( /kgg ; car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius ngg ;;gku/bkr+(ae;v 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 pr-e fl:cz7k;8. n wbpw2 (agbfroton 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 70ynz 6zxtwy* 76 h7yli9-kg person standing on the Earth, due to the Moon? The mass ofinlth7yyw 66zz9 y* x7 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. w:f 1dxhia/. n3shch2 If the masses are moveh2 a:f.xsch/3 ihw1 dnd to half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, acqpv3 3-t jvdw2li p.0t what distance from the Earth wv. ivp3t 0cl3d- pjq2will 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 Moon ig*c0 0 t:y :d5ggrwagqs $7.4 \times 10^{22} \; kg$ 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 aik 2*0*eun sbo "space-walk" at a distance above the Earth equal to the radius of the Earth. What is her 02 nieboku*s* acceleration due to gravity?

  The radius of the Earth is R. At whay* :+bk9lczz a -z ia7q55+dcam ckri:t distance above the Earth's surface will the acceleration of gry7*zzq i:d-+:krbcc ai l5zaakc+m59 avity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distanc f:u ,o,fgamm/e above its surface equal to 3 times the radius of Mars. The accele, /:gua, fommfration 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, t8r1jmrvh d*i to4wh y,i/ 6wu,)q6 lwmhe acceleration of gravity is1yrrqmm 4t*)uli ,/joh hwv6d 6w8wi , $32 \; m/s^2$. 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.k jpf5h t/1qggi 0mqa3u0;t;x If the object is raised to a height of 3r above t;patjuq3h1it x0 5 f0m ;/ggkqhe Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change when he(*zy q2 h2(udg jfy 27hnkmjg5 goes from sea level to an altitude of 5000 m? (Tfu hy(gyd(zg 7j5j2hn2 kq* m2he mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of 8 7l-j8sy8:h.zf( fs anlrnf 2+a ulk1yibbe5mass 100 kg is at a point 3r above the Earth's surface. What is the satellite'-yf.na78a ze nf(yl8rjfll+s s1 bkui h5b:82s weight?

  A spherically symmetric planet has four timi y)y m:1fkc.jes the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it)kc iy mjf:.1y weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earthu enys87oyd ;*, and Sun all lie on the same line, with the Earth between thyd7 nue oy8*;se Moon 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 7te ptu8,tvsb,t- d)) vxn6hr 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 circular orbit about the Earth (i.e., it just spoogymxlk 1j0w h:rg(u*+u pfy(7; 0n kims the surface of the Eawlo p+umug00ro ;ykhyj1:( *f px(gn7rth). What is the speed of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular l2u zmex1c7z+oh5m s +*,v bmaorbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution a+c57uvlzxm+2 sa hmob*, z1em round the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230.-w46hydpphl ecw/84 vw gl0t km above the surface of the Earth. It is observed to have a period of 89 min. Wlv6 44c pew 0/ h8ygldtwwh.-phat 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 dv+afwo )e gta3 :fvk6-j5hxp)iameter 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 c5/lit(cczh4s ,k4y myb*l j* 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 mpen-wy-4b p9 circular orbits. Moon A has orbital radius r, and moon B has or -ewbm49pypn-bital 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 is wqi + viw0pf-)$7.78 \times 10^{11} \; m$ 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 oncgyfm ob-+kc9)e. What is the average distance from Jupiter to the Sun? (The distance fromc)- y9k fg+obm the Earth to the Sun is $1.5 \times 10^{11} \; m$.)