Is it possible for an object moving with a conufe2):u i:a sjstant speed to accelerate? Explain.uifs: ju):a 2e

  Consider a particle moving with constant simrdhtbkvr +)l+bu f5 ro-z08 -b9 ay9peed such that its acceleration of cons9bu vbl)bz y dam5-o-fi t++r8k0r9hrtant magnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the dir+9t b(ogs/m rfk4w ,wrection of the objeco9wf4t+ gb krm/( r,swt's velocity and acceleration vectors.

  When an object experiences uniform circular motion, t7j vw5vxzs)ea59de13 eny p-bhe direction of the acceleration i-b3wde 1yv5x vnzsp9eae 5j7) s

  Consider a particle moving with con+ ny4plhnm9g h,8r-tx stant speed such that its acceleration of constant magnitude is always phx rgy+mhnt4-,n l89 perpendicular to its velocity.

  What type of acceleration does an object moving with constant 6ua5djs1mag zc1 mz *7speed in a circular path e6u m1jgz*ama c51d7zsxperience?

  What force is needed to make an object (th: hog9apd+ move in a circle?

  When an object experiences uniform circular motion, the direction of the net * 5pw2kj0rrxk hi)5w tforce i hrrx) wk*p20i5kw5 tjs

  A roller coaster car is on a track that ff:6 j yzvt:rb-orms a circular loop in the vertical plane. 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 thj:bz-:yv6f r tis point?

  A roller coaster car (mass = M) is on a track that forms a circular looljfyq1 9*1h-ku f h;xpp (radius = r) in the vertical plane. If the car is to just maintain contac;lx1phy 1jq*- k9ffhut 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 semi-circular arc until it i6okp :r sny z:iht6j9(s going straight up. Just as the6zk6(t 9os yphni:: jr 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::qg-fj su3 n*sg:a9b9pfbr74m a :+ueu lkwfve 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 x; )6ekwf5i *h.u*i ol)h cqruconstant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal foqr* )iw;fueu cl65hh.ok) ix*rce 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 itq9 *2hca6)u,d ymexgy goes around a curve of radi* qmhd2c, 6g9yeaxuy) us 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 radi/r/z9fsy0 i sdus r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the hi0ysz/d /9fr sorizontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a ,7j4y+z c9 0fa hmob;ab(ng erbobsled 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 small jonry0;9 +mhf,b ez4 ac(gb7aer radius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled tyb5z++ 3wvep ffdwx.(l3y3ifrack is not constant, but increases upward from the horizontal. l .ixef5y3fwbp(+yw+d3 vz3fComing around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an ob hb:d1jc- b/liic/ xjcno*1 e-ject moving around a circular path to have both centripetal and tangential acce obbli */ :c/chj1ec--ni1djxleration?

  The gravitational force b44 yb9dnmf/5dvfj2* pce xq y45y dv7vetween two objects is proportional to

  The gravitational force between two objects is inversely proportionatzwh. x ap ajd( ch8)cs1sf)-)l to

  Two objects attract each other gravitatio ;m,rinz28o. xtbtb, mnally. If the distance between their centers isrmzt. 2mbbxnt8; o, ,i cut in half, the gravitational force

  Two objects, with masses-pgl+dl)9. hvge8ce oa4ak q5 $m_{1}$ 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 q)e6u84rzt qes $m_{1}$ 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 ocuc gh49ni)odj l5/- h93nkw pf universal gravitation.

  Compared to its mass on the Earth, the mass of an object on the Mo8 vx :6k8qa+qcgec5 sofn6p; won is

  The acceleration of gravityn:+ rivt6/)04jphd i 8: bol9r3okiezf7wokv on the Moon is one-sixth what it is on Earth. An object of mzpv0+fk8 i3rh r7o4kw/ i 9lbo6j:n t)dv:eoiass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the roqvp7pxqq 6y01( sjtb6lr.v q(cket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull of Ede8ig iy i.e6ium03ijvj *dv1,5s x/ parth'i0v./j*i1 6 ii ,d3e8xvpy emj5dsiugs gravity?

  Suppose a satellite were orbiting the Earth just above the surface. Who3;b -8m)p 7:hv qtcazomey+kat is its centripetal accelerati-8eom kyq3+b7t ho:zm;)cpv aon?

  A hypothetical planet has a mass o r whp6 5tebncw4s.eh/ or2)8nf half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravit /b6nn.2orhw 4peeh5w)c8 rsty on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-f. j7up g6-q nfna;r2gsixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. gn27f.aqng6 p-; rfujWhat is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has i h.9fw3ej):cgc uk 0ctwice the radius of planet A. If planet A has mass m, what is thc)hg 3:u w.ec9kj0ifce mass of planet B?

  Two planets have the same surface gravity, but plan8(ch1k ban zu-et B has twice the mass of planet Anza1c hkub -(8. If planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a cir2pkuqr( 4s ie/cular orbit (radius r) about a spherical planet (mass M). Whiche 2s/uip(kq4r expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates laeptk gu4,,*in the same orbit. Compare the two4, ul,ta*p kge satellite's speeds.

  A person is standing on a scale in an elevator acceleratin-w5thw4 hu 0jmg downward. Compare the reuj5t-wh4w 0mh ading on the scale to the person's true weight.

  Who was the first pers a:7qj6whj 6jfon to realize that the planets move in elliptical paths aroun:j66jfwq7ja hd the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit k w+pk; d3h6ewaround the Sun,6 ;w 3we+dkkhp

  Let the average orbital rbks /-sgyi beqeh/ :8, f+4veeadius of a planet be R. Let the orbital period be T. What quantity is constant for all planets orbive shg+8bs-ey4/,q : bke ei/fting the Sun?

  A planet is discovered to orbit around a ad-0 5aj8 girdstar 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 tgjd80 ia5a-rd hat new planet be, compared to the Earth's orbital period?

  The average distance from the Earth to the S0 xsex eai7vb7-jh0j 2un is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of exjh ab-i7 s2j7x00vea year. What is the asteroid's average distance from the Sun?

State Kepler's laws.88wx7bxmu-a. *nvt aq

  List the four fundamental forces in natureymo -wl+ ,d7oaue0g1 l.

  An object moves with a constant speed of 30 m/s on a circular track of radilg/ljox)yoj)kv6 g, 0 us 150 0oj),jox l)lk v6/gyg m. What is the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum spee/wz;vpc(ze/ls j8ue -d around a curve with twice the radius? (Assumsul-wp ;8 z(j//eez cve all other factors remain unchanged.)

  What is the centripetal acceleration op /;43 gbsk:4 oa7ypaws2 )r8spmcb1miy)u yaf a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike isk7 o1 ac ppyb38bmu:ms)spr2 ag 4yas4;)wiy/ moving 8.0 m/s?

  A point on a wheel rotating ;pxhnaln;3)h1e *4zy 2t nj7xkkjl*j at 5.00 rev/s is located 0.200 m from the axis. What is the centripetal accp;yxe7z h *nj)n431a *kxj2 llj;hknteleration?

  How many revolutions per minute must a circzzy,t-; (r x txt,c i(/hwsfx-ular, rotating space station of radius 1000 m rotate to produce an artificial gra-x ,tc/x w( z(,-xft ht;rszyivity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 x *jlrc vz,s++m radius turn at 96.5 km/h. What is the centripetal force on the +czrjxlv*+ ,smotorcycle?

  A 0.50-kg mass is attached to the end of a 1.(wza ig0-objx/x ro;;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 th ;oxb ozaij0-x(; g/rwe maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string.rkjx/2mpm i+ hq00qk b l):dx and whirled in a vertical circle of radius r. At the exact top of the pa0d rxk.0 plkqh/)b:m+qj mix 2th 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 *c5i6lm uorpji go 4yk9z*o/ 4string and whirled in a vertical 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 t*9zyim6i*upo r5kol c /gj44ohis point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulling h1gk4hfl-t2 rout of the dive. What is the radius of curvature of t-1 f4hrt lkh2ghe loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center m l;*9d.i)tc; s hzmtrof the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing dow.ttmihslm)z;r c;9d*n 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 tiu c4atbja5:)np 85kex1jph3 otliu) 9mes his weight. What is the minimum radius of curvature that a jet plane's p3)1:h 9ckatubpnaj8pj xeto 45 iu)5 lilot, 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 rat0vcs;3wp.5w+ dr kdt;c)v fkdius horizontal curve with the tires on the ;kd +;v.)c wrfc5stkv3 dp0w tverge of slipping. 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 fi 375z2dt0 g)n r6 tdfhts-ofelat curve of radius 50 m with a speed of 20 m/s. The centripetal force provided by t6n r7)dzfod2 0itgf e3-ts5h 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 atxybqfk9b+ e8 pkt02c) a speed of 14 m/s. What must be the minimum coefficient of friction between tk0x) tfbpe82cb+ q9kyhe tires and the road for the car to make the turn?

  A car is moving with a constaf 72xehp y3ydlpt/ h5b -5nn3 5zluc+knt speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is then35y/2x 5tlh5ycpp+- nbukldh7 e 3fz minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsle6un-p (4 r k0 ln:mbbz+cn,cmyd to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore fn(m4c kl bpu,r0b-:cm+nz6y nriction.)

  A horizontal curve on a bobsled run is banked ag-i5tjn y6ud /t 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 al4,glw2 w h,dr;n(esw s)z -wgt an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bank wvw6 xawzl. ax xq(.n 887yxlkx*(cb9ed 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 uniforml hlync y+5 ak-a6ai2x(.rkjk( y in a horizontal circle of radiuskrkk iyyc aaa5x-.(2l j( n6h+ 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 gad4nsrmo.cp+4lxf v1 3j ,6euniform rate to a speed of 45 m/s in 15 s, moving on a circular v4 ,d.fsoe gm cp43xj +1n6alrtrack 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 consists of a protonahplbm6h 4 :k) 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, due t+ g-od8;/jh6hu7rp lgafym u)o the Moopr6gfy-u/j)+l ;u gao 87hdmhn? 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 the masses areep 1 vvd2-*t yo(8dnqp moved to half of their initial distance, what is tp1-2 v p( ye*qvoddn8the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance from-r) nx v;k o/zpnni64i the Earth will the gravitational forces due to the Sun a/i46 zo)knpv xr;-ninnd 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 ndlp:9m 6 yxn9is $7.4 \times 10^{22} \; kg$ 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 abovebf nu i9k5+eh. the Earth equal to thhu9ef5inbk + .e radius of the Earth. What is her acceleration due to gravity?

  The radius of the Earths).p /xt dmlq, is R. At what distance above the Earth's surface will the acceleration of gravity).d lptx,mqs / be $4.9 \; m/s^2$?

  A satellite encircles Mar:.p9qkv jmk;as at a distance above its surface equal to 3 times the radius of Mars. The acceleration ofkaqk: mv.;p9j 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, tabd :y( f8c53g/ezkwzhe acceleration of gravity 5c3k(we: fa8zdybg/ zis $32 \; m/s^2$. 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 radievikj )3i 5uj4us r. If the object is raised to a height o4jjiuev i5k )3f 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-k+anl)j)( y6wp u u;*ih4.bthu1b alkwg person change when he goes from sea leve w16bl aj .bit*)phha l kn+(w;uuu)y4l to 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 3 f 2e*)zaebxl7r above the Earth's surface. What is the satellite's wel)z*e bxa2f 7eight?

  A spherically symmetric plan vxs+,anv6mm:- +wl4o9l0 nq mboxti7et has four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surtmn-v+7 xsmb4vwa ,on0olm:xl69qi + face of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Ear-;21uuz4 a ardzlzwa7 th, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a u7r l a1u-2z4wdza;a zmass 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 to6h c fe7e6om +yuabw-* 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 skims(i+)1puz:gqp nmlc 9 g the surface of the Earth). What is the speed of zq ug9(l+1 im pg)pnc:the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e.,rb2:3h4tjwvhg1a+ /riuw t2 b it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mv/bt+whu 31 r2t g2jiwbh4ar:ean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circulv g4/-c41u akx7:ld6kacf5uyws mi)o ar orbit 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the E/f4v)xai :a 7g1ck4d lu6-cym5u kswoarth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter ofaa6 p;6c8 wcic $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbitsu0z * r7l+tom90 gmy;jw 2lrxx 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*:mo2hqjg3u:jbw7g q7 3 hvln . Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A ta ohqwmq7 ju b:3n gh73jlv2g:*kes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isz a8ecyj0qv( :(v)hdf $7.78 \times 10^{11} \; m$ 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 Jupite+6/is;9qzf7zmz5 m v7d aix yur 12 years to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance froz zmy56mdix9z;+ui vqfa s77/ m the Earth to the Sun is $1.5 \times 10^{11} \; m$.)