Is it possible for an object moving with a constant speed to acc ( kxdo7:u6b -t7nolsfelerate? Explain.:xdft- oo u7k(sb 7nl6

  Consider a particle moving with constant speed such that its acceleration of9h lnzbf *u*1p constant magnitude is alf* n*19uplb zhways perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the direc qh: i;bbsj3q. 7p dwx,vm:im.as6,fdtion of the object's velocity and acceleration vecto: j3wf6,. bashi.,qq;dx v dimbmp :s7rs.

  When an object experiences uniform circular motion, the n(fc+q7nvi* u direction of the acceleration iuv*n f +n(ciq7s

  Consider a particle moving with constantb,5ihim hqo/c+0 3o eh speed such that its acceleration of constant magnitude is always perpendicular to its velocity. be +i5ci0q,hm h3oo/h

  What type of acceleration does an object moving with constant speed in aj5qs ncw4/v22 ot+dvl circular path experwq +tcjl/2n4 vodv5s2 ience?

  What force is needed to make an object move in a cirp400 wdwgk(h jcle?

  When an object experiences uniform circular motion, the direction of the 9w xvk-m05kap net force iw p95x 0k-kvams

  A roller coaster car is on a track tr -gztuo6+hq,/cbo0 m05ng djhat forms a circular loop in the vertical planedugomrt0+ -n6 h, b z5/oqcjg0. 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 point?

  A roller coaster car (ma1jk8c4le iph3 4exntizdz 9*+ss = M) is on a track that forms a circular loop (radius = r) in the vertical plane. If the car is to pnxediz4c e9 jti l3*8h1+z k4just maintain contact with the track at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertic ccz lb0z:/u-1vv0jfval dive then follows a semi-circular arc until it is going straight up. Just as the plane is atvz: l 1cu/fv0 v0bcz-j 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 m8z ck)kqg/s/ - 4pvegof 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 th0v8m rg71c ;rc9ou)x /jgungoes around the same curve at half of the original speed. What is the centripetal force on the car as it goes around the curve for the second time, compctx gmj0/ nvr87;9cuo )rh gu1ared to the first time?

  A car goes around a curve of radius r at a constant speed v. Then it goes ,6u)isn4r 8dcpdr- j-st+*ejm6 pr gp around a curve of radius 2r at speed 2v. What is th -pdje,un)8*rg+ its6 j mpr-dp 4sr6ce 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 raddzl1. pg7gfn/u- 7dz gst)wp ,ius r with speed v. If the road is frictionless due gpst7 g- 1 zfdgn)7l, udz.w/pto 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 bobsled run frn9gxz *b6- :7bg f qbhxd8+kare banked at the same angle, but one has twice tbb +knq g 9x-b8dghrf:f*zx 67he radius of the other. The safe speed (no friction 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 turn on the Olympic bobs)ehejs:-wk+7df i2 .jjch(-t qx2pj wled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsx(-i 22ehq-t)w7.d+w j pcfhj j: ksjeled team 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 circu rb:qocie f(1 i2gdw+ 7;k6jojlar path to have both centripetal and tani: +fwe2o;j jg (ro ik1qcd67bgential acceleration?

  The gravitational force between two obspv,ztv2ugs-ob 9rx *a5q .s 1jects is proportional to

  The gravitational force between two objec ;xdj8v *3tfsmts is inversely proportional to

  Two objects attract each d ,5cgyay 4:kaother gravitationally. If the distance between their centers is cut in half, the grad kc5a:a4gyy,vitational force

  Two objects, with masses 99 uwqb bl6uecccs8pbt j-- 6*$m_{1}$ 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 masx7x.o.jh,id.u /wpzj os/o h4 wgi1-zses $m_{1}$ 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 univelkrd)3iyzvb r(:e(q*19x6y plu qw 0ersal gravitation.

  Compared to its mass ona)ea l.j .pj 9lhvfr)6 the Earth, the mass of an object on the Moon is

  The acceleration of gr1 kxco/bzo4ex2l x(o:avity on the Moon is one-sixth what it is on Earth. An object:o1 x( ozxloeb 4x/kc2 of mass
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 weigh8w gy7t j3hb9zt

  A spaceship is traveling to the Moon. +l7y+ v3porel y(ibt )zxa u9)At what point is it beyond the pull of Eart+tpel ril)a vu byz3(+7y9)xo h's gravity?

  Suppose a satellite were orbiting the Earth just above th bt.sq e;--iocc v:ytzrz+ :m-e surface. What is its centripetal aeor+.- q;vmt bz-z:ys:c cti -cceleration?

  A hypothetical planet has a mass of half kc f.r of:7xz-that of the Earth and a radius of twice that ocxzo:.k-7 frf f the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Mds3f79.kn6ai0jj9s*tz p.zu9 dhz p xoon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared sz. 6is9h 9d np7tpdf .j3zz0k9a x*ujto the Earth's?

  Two planets have the same surface gravity, but pld1s*i sd g;f32bhe+ylanet B has twice the radius of planet A. If planetf i 1dl3b*hsesy+dg2; A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but ph q.s lzk6bpf dgf-l1jrt6n ;3,ik42jlanet B has twice the mass of planet A. If plaifjtp,l-.dqh k66 f43zsg;r kn2bjl 1net A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a spheri 1puod t3e3ncwzu*0jk3 g4 *qkcal planet (masswdu3 ok1n*p zt e40q *kc3jg3u M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbit.6-mxgn)yh , az Compare the two satellite's sp ma z-xhn)y6g,eeds.

  A person is standing on a scale in an elevator acceleratingvp2 ds+xkm:6iim3 -5ph c6khejx:z/j downward. Compare the reading on the scale to the person's s3hc:-: k je xi/kpzjdmxv+pimh2 566true weight.

  Who was the first person to realize that the planets move in ellipticau2c++o i3 vckzsssn+9l paths around the zi9s++scvo2k+ucn3 s Sun?

  The speed of Halley's Comet, while travei 9lj-w/kn( yqling in its elliptical orbit around the Suyi9j -q(kl/n wn,

  Let the average orbital radius of a planet be R. 7 a9;up1rziv94ifmsg2*w hg kLet the orbital period be T. What quantity iia9 rw p1m h kguvs42f;z9g*7is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galax: 2mv 8afwa+4+fetmh4ht; cqf y Andromeda, with the same orbital diameter aqcm;+ 4fhe:ht84f aftmv2a+ws 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, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "astr26 +ntonm uco lz i6gck7 81t 86n-xn:kiinb6qonomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distan6inn2co8lkn1ug668n+c7bnozmi: x 6qik - t t ce from the Sun?

State Kepler's laws.* ks;f5 j(q)nrkjb*dp

  List the four fundamec52gev3oz, thf. zhw 8ntal forces in nature.

  An object moves with a constant speed of 30 m/s o2hke(m4o ( mcds z:d-kn a circular track of radius 150 m. What is the acceleration om2s (dmze: do k4k(-chf the object?

  The maximum speed are gb jq 23qmv nn+1q8xkj8(9hm7tgl. /s:zx yyound a level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remain unck8 ns qm/nm.jt8q+y2hgqz e xlg7(:xby v1j93hanged.)

  What is the centripetal asxqk12 0yil 6xcceleration of a point on the perimeter of a bicycle wheel of 0li2k 6s1q yxxdiameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 :3pwm kitu r9/w7q3hwrev/s is located 0.200 m from the axis. What is the centripetal a33i kq r/7wwmhtup9:wcceleration?

  How many revolutions per m .rc7*ndhl5b /6 6dpij3o8tpj8hv qtiinute must a circular, rotating space station of radius 1000 m rotate to produce an artificial graviqit6 d8 7o/ vbrincht j. *jp63dl85phty of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250y; a 5z u3bl5ia cpwu3pa5,*ci kg. It goes around a 13.7 m radius turn at 96.5 km/h. Whcbpp 53l 5,azu3ai y*cai;5w uat is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string.po 3t8 0mcbng; The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What i8tbm 3n 0pc;ogs the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attache t26hkcc n t 88jci+udcpg*u+5d to a strong string and whirled in a vertical circle of radius r. At the exau6 i85+t kpu8ccgn cjhc 2t*d+ct 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 a+k/1s u ufmpp-nd whirled in a vertical circle of radius -1uusm+ /f kppr. At the exact 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 out o.3p5 n72y: fig7f)q:hqk xv nsxwb, dlf the dive. What is the radius of curvature of lk :7gqndxn2fqy w sbh5,pfx v:i3.7) the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in whicdd c.j gn1 9wv+6ob3setbw85a4h s1 gaj,un1q h the center of the loop is beneath him) of radius 3209gdq5o,s8huw6 g.+n b b3stnwj41 v1c adj ae10 m. At the top of his loop he is pushing down on his seat with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is 8f9n16 asyk4.p 3 eb 4jfjblmwabout seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed of 250 mw fa4pye3. 1j6f9blm8 kn4j sb/s?

  A car traveling 20 m/s rounds an 80-m radius horizontak 0.c( w8gzybsl curve with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (A.g0 (8sywzk cbssume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve ok5 wuo z;mz(y17nf k2lo*,tyof radius 50 m with a speed of 20 m/s. The centripetal f u*tomyo5n7(w,l1 o2zkz fk y;orce provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a fl begbvj-,r7t/3d6qdkat curve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to makd7jdgt ,ebb-vr3k q 6/e the turn?

  A car is moving with a constant q5gc-z lf7fjxxfo*3,fxn . -5lckp ;7anc6ml speed v around 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 car is to s ;ag*cxnmf -x-ok n qc7fl 6z7,3l.f55cxlfjptay on the road?

  What minimum banking angle is required for an Olympic bobsled to negotiatv:wm+8gpl r +ce a 100-m radius turn at 35 m/s without skidding? (Ignore fric+:r+vp lgcmw8tion.)

  A horizontal curve on a bobsled run is banked at ad,/q7 vj8 zyt /.gc(5hsgyjar $45^{\circ}$ 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 bd89s2s 1oc0vt :pdgech8 : fnof radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m isjnkf28 ;rar;m 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 revolvi hky;077up5zk 1s0vtj (iiphmng uniformly in a horizontal circle of radius 0.50 km0y7ih pkjp07sz vt1u i5h;(0
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 b9 opjnmfe4ils(nb 52( fxp3+ uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical value in ( bp sxfm9 (bn4jfeiopl53+2nthe 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 :0zjw l1pnhxaa9qjhp7 w/e 34of 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 gravitatt88a7t(i1, bqash4boi s9ochional force on a 70-kg person standing on the Earth, due to t i8obb,s7c8iah4q ohsa9( tt1he 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 attractive7vlvw l)6 o.lkla5zztvg 7f50 force between two masses is F. If the masses are moved to half of their initial distance, what tvlv6lz ll77.)kv5wog5 az0fis the gravitational attractive force?

  For a spacecraft going froir;; 6 70v stgqxio2zpix a/m.m the Earth toward the Sun, at what distance from the Earth will the gravitationa.;2 g q ivpm6soir0a;t x/izx7l 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 is + 3 zniwj4nhts7uq rd)8*0yjo $7.4 \times 10^{22} \; kg$ 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 d0lcb e*.6tno4o n4l 3cf5qdzwistance above the Earth equal to the radius of the Earth. What is her acceleration dt w36dnonllc*qbc0 44e fz5o.ue to gravity?

  The radius of the Earth is R. Atgwwle;l ,y 34liq::4 )i ckggb what distance above the Earth's surface will the acceleration of grwiqb;3w ,)il:ygk4leclg 4: gavity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to e;y5o4aj l6w 3kbl2kg 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on t;e62yolwkkg 5a4 bjl3he surface of Mars, is

  At a distance of 14000 km from+.j u prtp0,su some planet's center, the acceleration of gravitytppj,r . 0+usu 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 surface of the Earth. The Earth has rad13i 10nwu e /m3l6m2ygryjoqa ius r. If the object is rai 1jynmroy6 qui 3 el2m1wa03g/sed to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change when f,js-tol6 a.ghxt v ue/v. 8,mhe goes from sea level to an altitude of 5000 m? (The mean radius a.g vj.ls ofx e-u,,tmht/8 v6of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 1008t5awgx tle(1 mh2 -r1 u8nfyk kg is at a point 3r above the Earth's surface. What is the satellite's weightw8kg1uflt1-82ytnrx (a he5 m ?

  A spherically symmetric planet has four times the Ea7;b z)a 0g-/k/ lq tolc4fhenurth'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 ofeb7k ulztnq 04)c/l;o /g- han the surface of this planet?

  During a lunar eclipse, the Moon, Earth, -z7q. qxxvpb0 and Sun all lie on the same line, with the Earth between the Moon and the qxbzv.7p-x 0qSun. 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 tran0gdoz imr 4y)uz5*nk7sported 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 circular47phyxrz,hlfd gd 2+8 orbit about the Earth (i.e., it just skims the surface d+,px4h 2f8h dr7gl zyof 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 Earo9f. :/ukexpdp8f: 9v;dcas, ,vzqroth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radius of the Eartrse9ua c,kd.;qox vzdpf: , v:98po/fh is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of the Earth. 7rp-9ib/cz nsqvjna;v 6.6ma s+/p(gm t ,hmiIt is obseij - qz 6r/n7m+stvi,m h6 ;ap( sgp/.vabc9mnrved to have a period of 89 min. What 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 diameter ofcp,r gcr wu5o7w5zd( zl4p5jvr 0k;0i $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits the planet with a rncjah6),apidom3wy5(3mz( h adius 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 has orbital r8l qogo*5s4 w+,dlco46, hftrrxd6r dadius r, and moon B has orbital radius 4r. Moon A takes 20 days to comp xf8 s4 t+lchqdwg lo4d6,o6rod*,5rrlete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is -ij9+ludk+ h8v2o wsnr 3twm3$7.78 \times 10^{11} \; m$ 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 Sun53j mpbpusdhl q5d/9g+ m kg8pdj5i3: once. What is the average distance from Jupiter to the Sun? p m+ 5 g:up3j53kg5dbipql/h d9sdmj8(The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)