Is it possible for an object moving with a constant speed to accelerate? Exp.o*gb5i.sj rmdv bu6 ;laijg6db uov5;s*rb. im. n.

  Consider a particle moving with constant speed such that its acceleration of c nmrq3cc 0bnm*s7,wh1 onstant magnitude is always perpendicular to its velocity.*nhr3m,0sm c17q nwbc

  An object moves in a circull2r-uo8z v sec:4dv 7 f8xha*car path at a constant speed. Compare the direction of the object's velocity and acceovu es4z*:8av2hx7dr- ccf l 8leration vectors.

  When an object experinl,w.;v s;hc)jt a)shences uniform circular motion, the direction of the acceleratio.h h)j,nc;asw l;st v)n is

  Consider a particle moving with constant speed such twl9/f , -) g4lloudxhjth)y 8ehat its acceleration of constant magnitude is always perpendil-4 y hl)dgo 9x/8le,)ujw fhtcular to its velocity.

  What type of acceleration does an object moving with constant speed in a +c dif 8d6uukh1m/8 ykcircularf dy1cmkd8h6uik8 + u/ path experience?

  What force is needed to mak(h4 vc: s+bpf)tpeb78f1 w fzgupa5z6 e an object move in a circle?

  When an object experiences uniform circular motionw b) fmm5er mk0lh;:+s, the direction of the net force is);bms eh:r+ml5 f0 mkw

  A roller coaster car is on vhw3 ecml l;858iq 8 8kuiam(xa track that forms 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 this e 8lmiik lc3(;uhvwx5mq 8 a88point?

  A roller coaster car (mass = 70f ; fees;f p4hq34shhigtq 3M) 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 t h3hff;eqt0 q4 3feipsg4 sh;7he loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-cia 832nsxpxye 8jh.h)yrcular arc until it is going straight up. Just as the plane i.yyxx3)j h 8ne 2ps8has 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 radius: 1c azvgz*s*7ol4qli $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve t65upygi.6m ze82vp l of radius 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 g.ptm 6zi2ue6y 5g 8plvoes 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. Th.3.xxedc wvtl4 j +hdx1(l, jhen it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second , 3ed(1j.+x lwjh. lxchx td4vcurve, compared to the first?

  A car of mass m goes around a banked curve of radius r with speed v. r4/wfzw y+qw: *rb(ezIf the road is frictionless due to ice, the car can still negotiate the curve if the horizonta wzq+w/r r(z*:yeb 4fwl component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at th 52)m 1vy(zx4 z3t-van opefbiiysf*0 e same angle, but one has twice the radius of the other. The safe speed (no friction 03-) eofvt5ipnb 12(axifz4m*y svyzneeded to stay on the run) for the smaller radius curve 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 w b5;l0fyiui3 yvm4-iconstant, 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. Why do theyw0ubyv3 iii;4lf m-5 y do this?

  Is it possible for an object moving around a circular so e21s8uxqo 2path to have both centripeosu qx2o21se8 tal and tangential acceleration?

  The gravitational force between two objects is proport94he(e5,cje qf irgp c*i q4*aional to

  The gravitational force between two objects is invervrlxq- -xq bzg;v jg183c7gd4 sely proportional to

  Two objects attract each otkq)iz 4bb zk9bs(1(lhi y+mq.her gravitationally. If the distance between their centers is cuts.b+h b9yizqkib1z4) (l qmk( in half, the gravitational force

  Two objects, with mas2)u.7 ab8ewvq t nqpw4ses $m_{1}$ 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 masses ujil50 )7mh3zfbgt 3ro3t)k u$m_{1}$ 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 gravitation.xs yn b;sih;h:4i13nb

  Compared to its mass on the Earth, the mass of an object on the Moxit+x1o 0 go4son is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. An obvvho)j)ry l9k c:l*m ,ject of mvm):r,l)okv* l9 jchyass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket's bj7*r 7 hl,tffweight

  A spaceship is traveling to the Moon. At what point is it beyond the pull of Ea.l*ffxzq(vq73 zh k x4rth'sx*fz7. zv klxf3qh(4q gravity?

  Suppose a satellite were orbiting the Eaog ..nraxan 1m i4800wpk qhd8rth just above the surface. What is its centripetal accelkoixnwdargh0. 04m 88 1q.anperation?

  A hypothetical planet has a5.pzr n29zozp;l euo ; mass of half that of the Earth and a radius of twice that of the Earth. What is the accelero orzz n9 ue5z.pp;l2;ation 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 it is on Earth. T f)lvpdv tl9;-m2ijh/ q3apb.he radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?-2) q;vd9 t l3pl/hmbfap.i vj

  Two planets have the same surface gravity, but planey74zd rv0dih: t B has twice the radius of planet A. If planet A has mass m, whdzdhr04y v :i7at is the mass of planet B?

  Two planets have the same surface gravity, but vejv(4r(3 f wrplanet B has twice the mass of planet A. If planet A has rwfv3rr (jve (4adius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a spherick sgw iq;7s12j4n )jttal planet (mass M). Which expression givewjg;nj4 qt2si17t s) ks this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in taa2z*pw xsv ui- 9*8fbhe same orbit. Compare the two sasz i* aubxf9-v8p a*2wtellite's speeds.

  A person is standing on a scale + tjz5/ag 5)h zgaz(0s5kf yv dsxm72pin an elevator accelerating downward. Compare the reading on the scale to the persoda+s (0f2 zz5vy)a gztksh57 /m5jgpxn's true weight.

  Who was the first person to realize that the p2bzc7 v6 brc2s; +i.gvrsg8 dnlanets move in elliptical paths around gv8cr;bs+dcz2 vn6bg7r s2. ithe Sun?

  The speed of Halley's Comet,b8zt/s,y nlh08x)c.iebg mg4 while traveling in its elliptical orbit around the Sub ) lmce/.gh 848bnxz g0y,sitn,

  Let the average orbital radius of a planet be R. Let the orbital q0p: t5p-xj;cjykee -period be T. What qua tqpjxe5ck-jey;:- 0pntity is constant for all planets orbiting the Sun?

  A planet is discovered ty6qcoo,y 9 z.vo orbit around a star 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 oo.qcv yy69,zof that new planet be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "astrbcysmc. 0i (e5-c(g gkp46flxonomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average d0 ( 5slim xfpcg6c.(gb4yk-ceistance from the Sun?

State Kepler's laws.h4- j gp2ykj vaf*9ug,

  List the four fundamental snfewq tv .wi(xz,5(s)-qay-(xtx / fforces in nature.

  An object moves with a constant speed of 30 m/s on a circular track of radrxq f1g ;x1,urp cg jj9,yt58dius 150 m. What is the acceleration of the o;,r5x,jdg t9 yq1cpj g18xuf rbject?

  The maximum speed around g+ /v(8 lmd1o.uwkxhpa level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factordvhkw+ gom (u /l1x8.ps remain unchanged.)

  What is the centripetal as+janehhu)o4 b ; n1 -c i1:j.cwcwcd8cceleration of a point on the perimeter of a bicycle wheel of diameter 70 ce;c:1an1 8b+wscd-ji.jh ucnoc4 wh) m when the bike is moving 8.0 m/s?

  A point on a wheel rota ourm5 qa65cp/p ty *fyz;n1bpqo s1:/02 omkuting at 5.00 rev/s is located 0.200 m from the axis. Whaty55 u*6 :2mnmpf r1uz/oyo/qcbsak0qp ;1po t is the centripetal acceleration?

  How many revolutions per minute must a circular, rotating space station ofzn3 kkxa77yw u ,hziyez 09-)i radius 1000 m rotate to produce an artificial grav7-z70 9i k,yyuaxhz 3ik)z nweity of $9.80 \; m/s^2$?

  A motorcycle has a mass hfsjze-i,5 3hsdj .n5 of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force ijfh,3se zh5s- .nd5 jon the motorcycle?

  A 0.50-kg mass is attached to th:dc+jihn71 t ae end of a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum i7cjan+d1th :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 wu x)p3nd:70 j obwyd7tid z8+dhirled in a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times the jdoxdzn piw d td03yb:)+78u7stone's weight. The stone's speed at this point is given by

  A stone, of mass m, ypeo -e9llf )q./k ,phis attached to a strong string and whirled in a vertical circle of radius r. At the fk-/ol) hqe 9e ,.lppyexact bottom 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 jet plane flying 600 m/s experiences an acceleration of 4g when pulling ou5)(/z-a wtfku t.pqkd t of). -kd 5pk/za(fq tuwt the dive. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the (-;gpa8s)eod esh8daloop is beneath him) of radius 3200 m. At the top of his loop he is pushing down one-a seg8pa dd(o;s 8h) his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot cap;*i4bc 2 0* ufjrwjq)gc +pemh 3iqx*n stand is about seven times his weight. What is the minimum *x203jqcbh iri 4f*egc* pm;q+ jw)up 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 with the tires 7w.epl4(tm*e8um:o dhp jv+f o j6,pxon the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficient of fricti,mdo8po4tve*h:6xjfel pp j. +w( 7muon between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50l-.xuhr:2, bbc4 dwrb8rohnmh mo3 4; m with a speed of 20 m/s. The centripetal force provided by friction im2w;r m4lhhb 3 8:bnhbdocr. -urox4,s $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radc o7dd uu)*id)e*z+ enius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the zceod )udi 7nd*eu+)* road for the car to make the turn?

  A car is moving with a constant speed v arounzje .bcmf8 .lk9uxm l,qqb7 74d 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 .79lbk47.e c,xuzqmql 8 bjfm car is to stay on the road?

  What minimum banking angle is required for an Oly a3y;pnfc;5d 8q z-phxmpic bobsled to negotiate a 100-m radius turn at 38df3-phcp xa qnz5;y; 5 m/s without skidding? (Ignore friction.)

  A horizontal curve on9*ecdm qlvu y-gte922 a bobsled 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 rad 3beg3(xk,a5b e/tbpdius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 xo42 2q*zsa/d;/2cw7hk yf -rx shg lfm is 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 qo mo.m q2a:h6of a string is revolving uniformly in a horizontal circle o: 26oqahmoqm. f 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 race car accelerates at a uniform rate 1z7hqye-qgm o0k6 + :hqkmg2cn-sm f0to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical value in the blanks1hmcqomkn+27q-e6 ymh-:qz0g0 k gsf )
(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 consikdxyfa 1e+nuydo*-j(e m+bnoe3/ -*3y6rht lsts 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 ij zex5ip* j: 6ed.6huperson standing on the Earth, due to the Moon? The mass of thx:e jp65d 6uij hei.*ze 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 mas-b(ib- gb ew8qses are mo -bq-8iw bgeb(ved to half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth towardc+-vgm9ri q 9b the Sun, at what distance from the Earth will the gravitational forces due to thmrg9 +iv -b9qce 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 i6cuv yst/kw 7h+ (ef6*du cst-s $7.4 \times 10^{22} \; kg$ 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 Eau /toyqj(2f1urth equal to the radius of the Earth. What is her acceleration due to gra2u oq(yt1j/u fvity?

  The radius of the Earth is R. At whate dsz-7 im/nr m2r:ic8 distance above the Earth's surface will the acceleration of gravity rc2i7 /-:mrm zd neis8be $4.9 \; m/s^2$?

  A satellite encirclesu 4kacf(kicfu 6;5kix4tq )8 w Mars at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surfqw)kuffx( au ;6i8cktk4i 45cace of Mars, is

  At a distance of 14000 km from sp0v1m fk1l2 yiome planet's center, the acceleration of gravity is0kmy ipl vf211 $32 \; m/s^2$. 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 jd7::o.*s s,lie . nfaj2f zlwrp wv/7Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surfr i,ln2 77zs.e/ d::p.* swol wfjvjaface, what is its weight?

  By how many newtons does the weight of a 100-k6hnt( z0k uh7 2lq*iftg person change when he goes from sea level to an altitude of 5000 m? (The(*q2zh lnu6k tti07fh mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of m)-ng/hzd twt2ass 100 kg is at a point 3r above the Earth's surface.2ndt/z )w gh-t What is the satellite's weight?

  A spherically symmetric planet has fouqerlk 1lj:z*: 1wwiz,r times 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 weigh on the surface of this,wz*erz:lwlijq 1k:1 planet?

  During a lunar eclipse, the Moon, Earth, and Sun all 92jyu (lo* wyelie on the same line, with the Earth between the Moon and the Sun. ou l*(w2j9eyy 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 transporc 2oeql9 -(i yh1coj*hted 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 circular orbit about the Earth (i.e.,4f0 qr3 ozwsr;w* z,kn it just skims the surface of the Earth). What is the speed of the satellite? (The mean rao 3wr ,4fs0nrkzq*;wz dius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it just skims theh74ktp gz :rj( surface of the Earth). How long does it take to4tk g7p(hrj z: make one revolution around the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circuidzp 4a6)v c yici;:-jr+ * cy(ujw9tmlar 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 Earth? (The mean radius of the Eart(jw*cympti- d: 4 +vzic ;u)6cjiayr 9h is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diamh 2z nq*s-tjr+eter 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 w oo56m tler(b4(8hbayith 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 78deygkfwh tz jw3. *,in nearly circular 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 comp3 tkfd .w,gz8ey*wj7hlete an orbit?

  The planet Jupiter isj 3 hk7q2zt viys*he8 *nc8:wb $7.78 \times 10^{11} \; m$ 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 p7vjs;xc(( zm to orbit the Sun once. What is the average distance fz7 cps( xjm;(vrom Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)