Is it possible for an object moving with a const /uq 6 cn7t4ik6jiqs5rant speed to accelerate? Explaisij 465 cntq qk7ui6/rn.

  Consider a particle moving with constant speed such that ilvvy9 .9+wz9xwh/ m xlts acceleration of constant magnitu . xvw9lm/ 9h+lyxwv9zde is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Comparbxa -8t*u/u tve the direction of the object's velocity and accelet 8 atu/*-xuvbration vectors.

  When an object experiences uniform circulai6(zm sp1s2on;eri y(r motion, the direction of the acceles yosrnpeii;2 ( 16zm(ration is

  Consider a particle moving wi )gq(cqf*h;3snnw sc5t90 s hgth constant speed such that its acceleration of constant magnitude i 5qqc 3wssng)(t *9c 0snfhgh;s always perpendicular to its velocity.

  What type of acceleration does an object moving withx9ah0c+ bx/o d constant speed in a circular path experx+b0caho dx9/ ience?

  What force is needed to make an object mn7fxg 3 *n ona 8afdss71z6e9gove in a circle?

  When an object experiences uniform circular mot f4i1+t9ko itr 9 pvu ekid*o0asgi21/ion, the direction of the net force io/r aigti 14s19*t i+9d vp0 fikke2uos

  A roller coaster car is on6 b8zb wko5h3j a 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, whab3zo wk58bj6h t is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) islr.vf*q 2.vepe4dr8zxi v; r; on a track that forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain contax.dpr *veif.r4l ;vzev28 r;qct 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-ci7lhm9l jsmo( 7rcular arc until it is going straight up. Just as the plane ihj lmm7o9l7s( s 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 rewmmb, ryf:+jy*ac0go:, gn ,adius $r$ 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 i;59 lt 8a5ize-tzmqmh t goes around the same curve at half of the original speed. What is the centripetal lhm ;tz-q55ma9 8eizt 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 zk:awv7v2x.6za wk )jws/a/w constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripet ) 2xa6vwwz 7/aawkw:s.v j/kzal 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 cui;yv ya0(9 j u.hotrn1.a ub:g1l1dthe road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normagh9v .1yb;i.dua(jnyc1u1: 0trau lol force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at th3y 1gf.0 cbdw)xuym h4e same angle, but one has twice the radius of the other. The safe speed (no frict 4mwdbyug0 c3y.x)f1h ion needed 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 tur3n1b zkl6qg,6ko6w kgn on the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled teamng1qz 66klb6kko,g w3 will intentionally "climb 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 havemwrq*mq/(5kr both centripetal and tangentiam/q (*qkr w5mrl acceleration?

  The gravitational force between;kina4-bl x3y 6d cemz(k*m 6b two objects is proportional to

  The gravitational fortj -d090nmb u+wmbsv+8zea n.7 m(oztce between two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between their: ehkq,jz.smyy z(6j / centers is cut in half, ey mq/h6yk:., z(zsjjthe gravitational force

  Two objects, with masses -0;vfjdabluuc2 4mh7x8l3jh $m_{1}$ 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 masshdm* zn ydt +hhth-9yu8bisi3u, 8/7ses $m_{1}$ 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 universau.vjz why 1u*8hm:9)vxo+x wel gravitation.

  Compared to its mass on thern68jblclc j / *1xx1x Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth whf,zczp v- )u.dat it is on Earth. An object o,.zucp fz- dv)f mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away fu;7c+is t 1qwre 7nsm1rom the Earth's surface, the rocket's weight

  A spaceship is traveling to tqs+u 74 rv8 ssc82fixdhe Moon. At what point is it beyond the pull of Eacsivs+ r824s8fuxq 7d rth's gravity?

  Suppose a satellite were orbiting the Earth just aboh8l9.v n jtk +v9h,mgi,fodz(cl94 qt ve the surface. What is its centripetal acceleratihl,cio9 zf84jv gv tktqh, d9m(+ln9.on?

  A hypothetical planet has a mass of half that of th9e-aj41e fmb)sp on 4lnxd7*(phvk2k e Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the accelerab9s -)opl4ndx1h7e n*(e fk apj 2kmv4tion due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what i -*elz8t kztl2c1k /lrt is on Earth. The radius of the Moon is one-fourtk1l8ezr /t-tl klzc2*h that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but plane;qk8kn0 uqpd3t B has twice the radius of planet A. If planet A has mass m, what is the mass of pkpu8nq30 d qk;lanet B?

  Two planets have the same surf+z 2;.a, 6jofgzgdbltfa/tx 2 ace gravity, but planet B has twice the mass of planet A. If planet A has radius r,gfg,/f;x.+z oa 2 2tdljb za6t what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (u**ok)/b*hhx5yjpif 4b8iu6j / vxxwradius r) about a spherical planet (mass M). Which expression gives this satellite's oup/u8wj*xfx6j4*bi* /vxy) ibhh5ko rbital velocity?

  Satellite A has twice the mass of satelliteydz17l3 dbsy) wi1 q.p B, and rotates in the same orbit. Compare the two satellite's speedswp71qly ddyb i1sz 3.).

  A person is standing on a scale in an elevator accelerating downward. Compadrlr7pnq* i /3g)cq ,nre th lrn)cdnq*qr3 p,g7 i/e reading on the scale to the person's true weight.

  Who was the first person to realize that the planets move in elliptical pkt 9.fidx0u)4(ls pp daths artku4x) pdsp fl09. id(ound the Sun?

  The speed of Halley's Comet, while traveling in iwn4a0cr5lud a m:e8c3 ts elliptical orbit around the Sar3:uw45clnm0 8dca eun,

  Let the average orbital radius of a planet be R. Let the )ux ,mgv5ds o,orbital period be T. What quantity is constant for all planesv,x,)5 u mogdts orbiting the Sun?

  A planet is discover0ml9fpqrv9ib( 0b, n ted to 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 revolutionl,btn9vr9mf0 (p0iq b of that new planet be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is 5v dw02 q+qentr7odc- defined as one "astronomical unit" (AU). An asteroid orbits the Sun in e+wto5qcd-d0nrv72 q one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.6(4sjz j 0ktq pow )m 1cc9bgr86+rjmi

  List the four fundamental forces in nl ).)qznwwcv,4w2 mvi ature.

  An object moves with a constant speed of 30 m/s on a circular kcva + +kkboyp1ne;a58g* et rfz,v/8track of radius 150 m. What is the accely8z+bc8 1etk ape+ra,f ;v/ * 5kkogvneration of the object?

  The maximum speed around a le( x emnnsbn9cl;00t p;vel curve is 30.0 km/h. What is the maximum speed ar(xblc9;p;0 mnts e 0nnound a curve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleratiothbl z18uvz2ve/ 2 cf:n of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moc 8buvtzf2l :2zh1v/eving 8.0 m/s?

  A point on a wheel rotating at 5ixpw 3vz 3751ylh etm8.00 rev/s is located 0.200 m from the axis. Wha8 z3l1w73e vpyhm ixt5t is the centripetal acceleration?

  How many revolutions per minute must a circular, rotating space station of rag:n /p)ukxe46 ofgf9j dius 1000 mfxoe9:/4) jufpg 6kng 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 tuz gfdabu1l(: -rn at 96.5 km/h. What is the centripetal force on the l:db(g- af zu1motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whirle9ohgn7ow2x u5df /j- yd in a horizontal circular path. If the maximum tension that the string2y-f gjuodn5h/ 79wx o 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 wigi-hr4izmt- 7i62 hwhirled in a vertical circle of radius r. 2gw7z imi6i4rth-hi-At the 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 attaw l.;zhs3)4imdej )hcched to a strong string 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 weigh;ehjm)3hsw .)4 d liczt. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceler1vgc5jtywpin *gc9( l1f nv4d6 py(2:ge dts) ation of 4g when pulling out of the dive. What is the r1c6d y:cn(t)15294f v s e*jwvplgynt(d gpgiadius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop is bnw.. 9phxesf1 eneath 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 w 1 np9.xew.sfheight. How fast is he going?

  The maximum force a pilot can stand is about seven 5q)1/hajv,mb yyg4 cktimes his weight. What is the min)jay v14b/y m qc5gh,kimum 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 8g* ;fa et0tww y2j2jw(0-m radius horizontal curve with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 mw*fwjtg;twyj0 e (2a2 ? (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 wiogoiruk, v /:7bp (lin-tn 1v5w4eoh,th a speed of 20 m/s. The centr1p 4e5g-h :i(l/o,v,tvon nbrkuoiw 7ipetal force provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a f/8tpvm a3)sk2jy x8wilat curve of radius 50 m at a speed of 14 m/s. What must be the minimum j2ywis) vamtx8k/38pcoefficient of friction between the tires and the road for the car to make the turn?

  A car is moving with a constaaq4atffv, nt7wn802.heh /acnt speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radeah8a 7f2tqt cf 0.wnh /vna,4ius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to negoti ac.;ut*ptdo* ate a 100-m radius turn at 35 m/s with.; p*aduo* ttcout skidding? (Ignore friction.)

  A horizontal curve on a bobs1jrxn m .u /il+3qcwh(led 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 azv+vrpv cbc,ao r v,,g7vot/n1z-p eh61j 2k;n angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked at smk *l bhyo-xoe;+w1)2qqxu9$45^{\circ}$. 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 riruj: 3scpn/ rmu*5yw5ij+i-t;ye5yevolving uniformly in a horizontal circle of radius 0* y j cme35ui-t+wr:yyui5;ir/5pjsn .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 ca.oc5 (/i 3bad*j pnerur accelerates at a uniform rate to a speed of 45 m/s in 15 sd jbpec*oinu ./r5a3 (, 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 of a proton of mass ) ptccpp ft.uny6m2 v3d.b s,1$1.67 \times 10^{-27} \; kg$ 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 styjc i54ib* np,anding on the Earth, due to the 4i c*py5jinb, Moon? 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 fu()wunl ilm e6/ g(m.re(frm) v.v6ais F. If the masses are moved to half of their initial dista r6mv 6uwu)a(nilv( ( flr/fe.m e.gm)nce, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, a b/s:p;u-mvtop6kp3 :yym4nd t what distance from the Earth will:t nkmp643mds /bo-:yyvp p ;u 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 Moonh0igvqy.9 yza2 k+6oa 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 for a "space-wal2*;nr )e c 4meuq;- ki/dzzghxk" at a distance above the Earth equal to the radius of the Earth. What is he4/hx2rie -n ceg;mzq *)kzu d;r acceleration due to gravity?

  The radius of the Earth is 4e jd4; zy 8m*rb4stalk;r(tuR. At what distance above the Earth's surface will the accelerati;ksr;844(dr l4 mtyazt buj e*on of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 times t u8(dt/w v.*5qxo+)dvctd p ithe radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on thx*qd v odvtt) +/.5( icwput8de surface of Mars, is

  At a distance of 14000 km frjvp6x* emn+4 bom some planet's center, the acceleration of gravity isjnp e4mxb+v6 * $32 \; m/s^2$. 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. Tlhz*;uwm+t j1 tj*5wahe Earth has radius r. If the object is raised twltjt*mwh a1; u* +j5zo a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does th3f * (bt 2nn9q vcoiix47yo:)diptg9ce weight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (c9i d2:i(obc toq9inn47)3*xvt y gfpThe mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite 8+tbhjnv- -8lp/5c vz+eqwz rof mass 100 kg is at a point 3r above the Earth's surface. W-je -v l5n r/qb8 vczwt+8+pzhhat is the satellite's weight?

  A spherically symmetric planet has fou 7:5b myku*rlhdqs1m, raiw0-r times the Earth's mass and twice its radius. If a jar of peanut butter wu hr i m 51kr:wsy-*m07badql,eighs 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 on the same line, with q:fkxze7v e:4v2rqgrod ;t ,9the Earth between the Moon g:qervx zr9v4, e f:2 t7;kdoqand 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 i1*9g xzq0p+vnq0kjrq s transported 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 +/f(ndaht 7cwvln2( scircular orbit about the Earth (i.e., it just skims the surface of the Earth). n(h 2 v/dnfl7(+st cawWhat 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 (i.e., it just skims ,bwdd5zpc3u,the surface of the Earth). How long does it take to make one revolution around the Ear,3 uwddb5pz,c th? (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 g5xh7zt )gmp ,esoi *rg)u+6i Earth. It is observed to have a period of 89 ms h)m,o6 g)+rigpez5xi *t7ugin. What is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter44yiv2 qaee:kks *fg9nu;i*d , has an orbital 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 wwos/lg8 p qqd:e+70hqv6zp* hith 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. Moon A cb+ sp3nm.3xgym.jha6i 67diam9c5 ohas orbital radius r, and moon B has orbital radius 4r. Moon A takes 23xai+7g9m.j d6saom6 mc 5p3 nbhyi .c0 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter id;5x *8 x8sw ajxgzv+3khxh9ob -thf; s $7.78 \times 10^{11} \; m$ 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 fu7 m eckjp2q, /6ix:e+kr,vdthe average dist +k, m,kdvu6ce27/xeqjip: f rance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)