Is it possible for an object moving with a constant speed to accelerate? Explax v+rgzgz;h, ++qme0.teb-rain.-br. eh++,0ezq; xvtagr m+gz

  Consider a particle moving with constant speed such that its acceleratio j:;nevelt8q ,n of constant magnitude is always perpendicular to its velocitn ,vt;:l8qeejy.

  An object moves in a0 m6b. fe9.pmrhvcag- circular path at a constant speed. Compare the direction of the object'pbefh.mv-0rm cag 9 .6s velocity and acceleration vectors.

  When an object experiences uniform circular motion,3 ;deurj gp17o the direction of the acceleration iu7 1;jgo3dep rs

  Consider a particle moving with constant speed such that its accelera vo53zk a9 6)defula+mw;o wy)tion of constant magnitude is always perpendicular t9 e)klwooy) awmfu ;+zav5d63o its velocity.

  What type of acceleration does an object moving with constant speofv7 j58s(akt ed in a circular path experies78(of tja5k vnce?

  What force is needed to make an *l7 zc)1l sg)qstf/t xobject move in a circle?

  When an object experiences uniform cie8:exhmp z5; qrcular motion, the direction of the net force ;eh8mep5 :zq xis

  A roller coaster car is on a trap bks(z,u3-5j vw 3lbvck 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 a3b(kzv-53bl u svpj, wt this point?

  A roller coaster car (mass = M) is on a track that f xyz(iqu6;3 fxorms 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 speed atufzxi;(6q x y3 that point?

  A pilot executes a vertical dive then follows a semvi/h6, csx .rg: 6h6/vsf rsxui-circular arc until it is going straight up. Jucsfv66/ ,6 uvrs gxh/:xr.shist as 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 curve oftx(hyy: 61+rkf cozk5 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 9vn+f7y b9g/w:w lfi9 at8mcpgoes around the same curve at half of the origi:w 8nfgl fi+ v99cmb/97ap ywtnal 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 a5hzu. 6g9huld constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as hgl69du.5u hzit goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of r+vp(a 8onl ceo up2kua1qq 86;adius r with speed v. If the road is fri2ka8 6lapqon+qu; 8uoep1cv( ctionless 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 o (frcs ;9cts , /.7+l0pjbtof-mar ttgn a bobsled run are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stmtbr079,t apsto ;.-f fcr/gs lcj(+ tay 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 o )3zxp. -isj kplg.b*an 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 lowerj.p.3ipbskl-* )xagz coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to have bot:wwc/d++c fj 7os egp+h centripetal and t7e+cwcpjd+:+ so fg/w angential acceleration?

  The gravitational force between l)lwpt ux (y,44z1ncytwo objects is proportional to

  The gravitational force between two objects is invp,p, u5pnwd8j ersely proportional to

  Two objects attract each p4z sa;s9aazvz)0qx3m0r r q5other gravitationally. If the distance between their centers is cut in hq05 pzqr9axaz sza ;r3v 4)ms0alf, the gravitational force

  Two objects, with massb:u(dzj fl0l2:e 7s/ 7s dxxrres $m_{1}$ 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 mass,7 7 q nnum3zhrouk3b+es $m_{1}$ 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 o8.u9ir 4swie:*mnzx.

  Compared to its mass on the Ear bf2/ th-sj9hv*twzdzj+o g6) th, the mass of an object on the Moon is

  The acceleration of gra-gu6oq5 d pc a0xmnr4wq1:ow ;vity on the Moon is one-sixth what it is on Earth. An object of masrq4cowd n6 a1m5 x-ogu w0;qp:s
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's sura ehroi4 .h+wd um;26uface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyonk: z65f8kcg8 cd o/m3hl1uwmhd the pull of Earth's gravd8zk8h/hk6gum 3w1:ol5fm c city?

  Suppose a satellite were orbiting the Earth just above the surface. Wh o- 9 q9t j,upshh)26wdh66taku1zsur at is its centripes-66t 2uhkqp9htj9 u,swdrh )1aozu6 tal acceleration?

  A hypothetical planet has a :/ijwbl5 d7 gvmass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planvj/ gil57 wdb:et in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gra-bd fi6 5;j9opqdny2cvity on the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Ear5cn;by9qido 2- 6dpj fth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B haef lt7 s9yj.jim;*sg(dlb j3/s twice the radius of planet A. If pij;7mt j*sf3 lby/sjl(.edg 9 lanet A has mass m, what is the mass of planet B?

  Two planets have the 5m1 4c*dd3 bebps wlb*same surface gravity, but planet B has twice the mass of planet A. w51 b3 *sdem4*lbp dbc If planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a re2pnyj+*we 5circular orbit (radius r) about a spherical planet (mass M). Which expression gives thywej+p 2n *5eris satellite's orbital velocity?

  Satellite A has twice the ma ifki*at49xvm q5g f)z 9ld+h4nzy(,k ss of satellite B, and rotates in the same orbit. Compare the two satellite'sltvn 4i)5mig fkf zzqdxa yh+9,4*(9 k speeds.

  A person is standing on a scale in an elevo5yz. /*8iaag b cj,crator accelerating downward. Compare the reading on the scale to the person's trrco .b*j 5c,/g 8iyazaue weight.

  Who was the first person to realize that the planets move in ekc sdj4 sak /kby+/*)hlliptical paths aro)jhkac4y/k bks + /d*sund the Sun?

  The speed of Halley's Comet, while travf j+lxwodi7g. t,- d1n4d /ihveling in its elliptical orbit around the Sun-iohd 7 iwjf/l,1dd4+.txnv g ,

  Let the average orbital radius of a planet be.c kkc8 gl:ps9- lw-qw R. Let the orbital period be T. What quantity is constant for w 8:gk.pcw--slq9klcall planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy ysl*p uvh e19.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 new planet be, compar1 suvphel 9y*.ed to the Earth's orbital period?

  The average distance f.dlrk; t o; pk2axlx9+rom the Earth to the Sun is defined as one "astronomical unit" (AU)rxp2;+; k9 dlxt. laok. An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.-0 h8kckt :hln

  List the four fundame44rj/z2ig it zntal forces in nature.

  An object moves with a constant speed of et,m-dco w)nt9 5 jk7(u4ipvr30 m/s on a circular track of radius 150 m. What is the acceleration-9rpo4u5 mkn c7ejtd,w) i(vt of the object?

  The maximum speed around a level curve is 30.0 km/h. Wh6n+07gcpj uizo+cd ,rzgdew93ya.s5 at is the maximum speed around a curve with twice the radius? (Assume all other factors rzc 3rg+6ido apzsn 95,dejg y uwc.70+emain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bj;6rx5bc+f+ lz0 yhz oicycle wheel of diameter 70 cm when+jl;6rz 5fz c0+oybh x the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the3g ohy(6cm ia ei;j,wah f26s- axis. What iagy636swom i if e; -ah(,hcj2s the centripetal acceleration?

  How many revolutions per min.yg o8rcw1-bv39jyn jk 4kw5sute must a circular, rotating space station of radius 1000 yjky -4.br39g5wk n wocvsj18 m rotate to produce 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 o*q,5mncv:/ s.k50 m s 5xtekllf8vnj96.5 km/h. What is the centripetal force on the motxqj*5eo .tnl k fk5m,ms/5snlv:8 v0c orcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m stv hvx5gd z(nyf0hm 6g7ak, g+(ring. The system is whirled in a horizontal circular path. If the maximum tension that dx v6,(k v7nygf z 0+mhga(g5hthe 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 whirlzv( r/est 8iy( w/pph.ed in a vertical circle of radius r. At the wzvs/i(et8ppr(/ y.h exact top 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 whirve 84/sl sfnh6rmb9popk/3z (led in a vertical circle of radius r. At the exact bottom ofm9 l4ksbo6vh( /3zfs ep /rn8p 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 e.puw/. uae8+xd rd .sdxperiences an acceleration of 4g when pulling out of the dive. What is the radius of cur.xew r.8 .udusd d+/pavature of the loop in which the plane is flying?

  A pilot makes an outside vertd4/;(n8zbjcany;d( vl n/xpi 1 )amcrical loop (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-half of hisa/;lycm8d/vrn i xj)npcn41b;( da (z normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven tilb4 5 xu w-fg65sjxj;ymes his weight. What is the minimum radius of cu5jwyxb6 sjg ful-x54;rvature 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 radius8yboc4/z*yc aj;o)jn*0:ni nlnat ;z horizontal curve with the 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 the ca y*zt4b;a cj;/ :yn z0i no)lj*8nonacr's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m with a speed of 20 m/s2in( 3amzg6mjmf gciw3w9+ / l. The centripetal force provided6wi9/zcmfw 3mj mggl2+ani 3( by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a (+eqmf, fse7ynk,ma 0flat curve of radius 50 m at a speed of 14 m/s. What must be the minimum coeffi m7,neq(y+meff ska0, cient of friction between the tires and the road for the car to make the turn?

  A car is moving with a nnh;f7l ;g43uk gz.k1kaog.bconstant speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minim;;n.3nag zfh41okkg7 klg. ubum radius of the curve if the car is to stay on the road?

  What minimum banking angle is (f /uai *tt5qlrequired for an Olympic bobsled to negotiate a 100-(a/qtl*ut 5i fm radius turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsleddzuni8 (b y /fb*yq-h, 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, banked at anckdfk-z -givoi* vqx;*(bry;,4ufq n/9 -qb c angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is )v fh8x(ltffct )d .:ybanked 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 i*i3 baxn 2p nj8g0 j0st51ob ksd42dtys revolving uniformly in a horizontal circle of radius 0t20 j2 4 bapdnk*8boy1tsx53n djisg0.500
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 unidf vgr.6qq 0: 3om8hqnform rate to a speed of 45 m/s:qfq6o.drg q830 h nvm in 15 s, moving 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 consists ofmn.2w.x8;jiac 7u f:unv;v*f a omzy3 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 stae,8a k2e4xl konding on the Earth, due to the Moon? The mass of the,l ok4kea 2e8x 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 +d d3 q/xg0cj zd87cg3i;wuhn masses are moved to half of their initial distance, what is the gravitational attractive forw nd8zgq30jdx;du7c hg3ci/ + ce?

  For a spacecraft going from the Earth toward thejpa+m gwpv+ 6y3,5ssje j.r a( Sun, at what distance from the Earth will the gravitational forces due to the Sun and tj+jm6,svr yj3 +awpep.(ag s5he 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 Moonzi061y-i - zvu enwvypi)yo 72 is $7.4 \times 10^{22} \; kg$ 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 lqlz2q4s4mb-4 t cm 2rfor a "space-walk" at a distance above the Earth equal to llqzbmt4 m-4rs 2 cq24the radius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At whgr slxk 7 :y wto:ex45j5sb;8uat distance above the Earth's surface will the acce g5l 4owb k s;ser:5:yjx8t7xuleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a di.22t +c (a6omoq0d kwirk0ctostance 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 k.o 0oqt2+(oma c0ktrd6wci2 surface of Mars, is

  At a distance of 14000 km from some planet's centk(erdoe1 ysog)njja*zcw//(/ 2 i- ther, the acceleration of gravity 1kej wjreiya s(zdg/h2n) (t -*oo/c/is $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the sey0k-wpgk3 4 j*ui;sc9il sc (/n- oigurface of the Earth. The Earth has radius r. If tc/9kin pgijsku o;w y4-c-lgi3 0e*(she object is raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does k9.j jpbfl23 uthe weight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean radius of the Ea23jul bj .kfp9rth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at a point 3r above the Er 5*vx m.e/n)mznrm0narth's surface. What is the satellite0ne/znr mm r.5xv*n)m's weight?

  A spherically symmetric pgernq54t 7fw8+2mw kblanet has four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N onw8 rtgqfbn2m w7+45ek 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 all3b 8 chxcc,f46ozx1hl lie on the same line, with the Earth between the8bxo,h634 c cc1h xlzf 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 the v :4ruut 77ass)q l7neMoon.
(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 abk i1(i8m qm1hdout the Earth (i.e., it just skims the surf(kdh8m1 1im qiace of the Earth). 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 orbit about the Earth ,jne3(.wqrtm(i.e., it just skims the surface of the Earth). How long does it take to marnwqe, j3mt(. ke 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 surface of the Earthaxekwfu19:i-s3 h8-fy7*kiz vxu/ ol. It is observed to have a period of 89 min. What is the mass of t i8 /a1 9-vxhli37uxw ffouz*-keksy:he Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orb,q(4 kqdwfu ) tmm+c f.x34i5qxdv5yv ital 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 Jupiter orbits the planet with a radiu*u hz4f;xl s7bzsentfl a0 xa xb.5 86lcs4b)2s 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 nead.oss 3u.khk- rly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takek3ds.u-okh. s s 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is ouu4 8sttz)1xdru73,by zg f5$7.78 \times 10^{11} \; m$ 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 once. What is the averagep;gohphc;:e-hs4xof +u:s oz* eg* u) distance from Jupitereu xeooh) ;*h-possg p:+u;ghzf 4:*c to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)