Is it possible for an objsgew w70+9:zt.cnwcs ect moving with a constant speed to accelerate? Explainct:ezgw w s s+w.0c97n.

  Consider a particle moving with constant s e lq4yyahgzfh-hny+w;;y6*5 peed such that its acceleration of constant mf +hw ln5a4y-gh*y y;;ey6hzqagnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the directhrk*kug1x -q * j oruj7t/m99kion of the object's velocity a*kj9g jk -ho7/u q9t1x*kmrur nd acceleration vectors.

  When an object experiences uniform circular motion, the direction of no/woa 3y9 .cu8d w3g x4c-wufthe accelerationu3c 83fnx o4 gw.uod/-cyaww9 is

  Consider a particle moving with consth c8o5-s 3hhnm (1jjqyant speed such that its acceleration of constant magnitude is always perpendicular to 1 q5jmnj3s8oyh-( hch its velocity.

  What type of acceleration does an object moving with constant speed in 1 88.; mb*xbm8nfqb5nckdy b pa circular path experib*. b5kbp1mnf8dby88 ; qxcmnence?

  What force is needed to make an object move in a circlqrdyb57hp: n .u48iqk. ;zr3 nstvu7je?

  When an object experiencncv(eg:p2u+l*ze o .aes uniform circular motion, the direction of the net force io:lau *z v+pe2( cg.nes

  A roller coaster car is on a track that forms a circular hcr*x+7a 6m8z+vvlve yro+.7rwll/r loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the ml r8h7v*lo+6cz +yv/rvexr.lm+arw7inimum value for its centripetal acceleration at this point?

  A roller coaster car (matm8coaq6rc */ ss = M) 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 the loo aq/m8tcc r6o*p, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a se )/4a3ti,vw-osstxe h l e:1cemi-circular arc until it is going straight up. Just as the plane is at its lowest point, the force t-e slt1:es vi4exh /owc3 a),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 cw q-j. k1l2 whnp-bh6radius $r$ 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 goe+c4nahp3c8b p8mxu1 js 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, compared pcp8+1 8m3ax 4nbh ucjto the first time?

  A car goes around a curve of radius r at a s94 cil wfo.0j:dx, ioconstant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force os9f:widloio4,c x0 j.n 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 hrsy(uzx o 5 k5ru4rmlb+ +r5/s9m0fqwith speed v. If the road is frictionless 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 54yh k( 0fu5 brlxs+q r5/su9ormmrz+in magnitude to

  Two horizontal curves on ayfip,6 ay -m-77- i4waskntue bobsled run are banked at the same angle, but one has twice the radius of the other. The s-4eyf-pia tan wy7-mus,76ikafe 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 bobsh y)p262x ( tnaimy/nt3olv7sled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," m73y nt (ip/ xnhat62oyl2v)sthen go lower coming out of the turn. Why do they do this?

  Is it possible for an object e4c t( 4 qxlxuasq14:mmoving around a circular path to have both centripetal and lea:mxs(1u 4xcq 44qttangential acceleration?

  The gravitational force between two objects is proporth-f oxc7/: mue:7xp lvional to

  The gravitational force between two objects is id 2v* )u cw0rh0ac/cfe+yv1annversely proportional to

  Two objects attract each other gravitationally. If the distance between tws uu ; h wlspft85*)*q3wm(utheir centers is cut in half, the g(f8s5uuh *lsu w;mw*pqtwt)3 ravitational force

  Two objects, with massh;bx5el d0k*rpno:vbs ; 5 a5nes $m_{1}$ 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 w7j96q wbkti3 $m_{1}$ 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 gravitatio+pbuz+ nv43a8sngrw+5 bw*4 t h:ikirn.

  Compared to its mass on the Er *ktb1 v 4g8c:lcie8i.ke( xoarth, the mass of an object on the Moon is

  The acceleration of gravity on2bf/yw,xfwg ttr2 +lu 4k; n2d the Moon is one-sixth what it is on Earth. An obbw2wxuk,n+lf ytf24 t2dg/; rject of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfac ; zcxuw1qz/ sg nqj,r,;czm.,e, the rocket's weight

  A spaceship is traveling to the Moon. At what point 2h-x r,fw rfv6u(fu)r is it beyond the pull of Ear62-fhr rv (rx,wf f)uuth's gravity?

  Suppose a satellite were orbiting the Earth just above the surface. Wha5kqe 1 czppi/x o,,e/kt is its centripetal accelerati i/k/qec 1 zpepkox,,5on?

  A hypothetical planet has a mass of half that of the Earth and 3jp4ngm(:m7n z2xkcna radius of twice that of the Earth. What is the( knnc:7zjp m n3mx2g4 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 Moon is one-sixth what it o7/k mvlx.zf+oj04d zis on Earth. The radius of the Moon is one-fourth f/v40dk .l7zm+o xojzthat of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but p+ox-pk4 qbob3l37d gsw3p /q dlanet B has twice the radius of planet A. If planet A has mass m, what is the mass of planet B?3/xpkpb-dow+ q 7lb4d33qog s

  Two planets have the same surface gravity, but planet B has twice the masmxuifj: 4)0tx8 unc. ks of planet A. mx 0nu.t u4jc8k:f)i x If planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) abounuzw7b0 *two4 t a spherical planet (mass M). Which expression gives this satellite'sw4b7uo z0tn *w orbital velocity?

  Satellite A has twice the m9fb3oa g;irnv 08ch-y rjr+a6lbu , 4yass of satellite B, and rotates in the same orbit. Compare thyrgb6 i8h;40 9l,a-n+vcyora 3 ujb rfe two satellite's speeds.

  A person is standing on a scale in an elevator accelerating downwardzcc6b;n 0mzx4wdg-(zw6oen( . Compare the reading on the sca nbedno zcwc0(z64(6gwz;-mxle to the person's true weight.

  Who was the first pe9l bw98e;krv0 cbwy v5rson to realize that the planets move in elliptical paths around the ;90v5v 8w c kbrelwyb9Sun?

  The speed of Halley's Comet, while traveling in its elliptical orjm+ ud:mlt3( dbit around the S+3u:mtdm dl( jun,

  Let the average orbital radius of a planet be R. Let the orbital per:mm e0fle+-m8sf6f ij* .ya gwiod be T. What quantity is constant for all planetss:fm6 e0mg *f+.jael 8-fimy w orbiting the Sun?

  A planet is discovered to orbit al4rxuid32kcp 1q*- jiolxt6 )q n ,l;pround 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 o ndi*-4x rplk pt)il6luq qo2c;13jx, f revolution of that new planet be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun gci8ohco4qtll ;v b* , sd+z::is defined as one "astronomical unit" (AU). An asteroid orbits the l ds;go:q,:b*hzc o4v8ctil+ Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.lp:ovg skx*742 -hhl 8nskj, yq*g3oa

  List the four fundamentyecv5v03 ef*w 2-omir al forces in nature.

  An object moves with a constant speed of 30 m/s on a circular track of ppn-tm w yc052qin l:aigo/x. 35:x sjradius 150 m. What is the accele:c. npqpt5y o0x/ wx2- jla5m3n:i gisration of the object?

  The maximum speed around a -x, u2i leucw8-h)jjf9:lxfulevel curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all othe 2 -8fxwluc,fijul eu9hx)j -:r factors remain unchanged.)

  What is the centripetal acceleratil 2hf al,fb9q(m,l vl3on of a point on the perimeter of a bicycle wheel of diamete hlv,lm2fq,3 a(lfl9b r 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5yf48 fa b:qd,m8- ma;x*dhzhf .00 rev/s is located 0.200 m from the axis. What isdy4,hza *fq;db8f- f: mhxa8m the centripetal acceleration?

  How many revolutions per minute must a circular, rotating spif 0tqqlq+v ro:0(ww 4ace station of radius 1000 m rotate to produce: t4qiwv0f0q+lr ( wqo an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It go b-avdw*h1ta+3b lpk*vr(v5res around a 13.7 m radius turn at 96.5 km/h. What is the centripetal fot*1abh5 +-rrp (*db3 wvlvv karce on the motorcycle?

  A 0.50-kg mass is attached to r x clplbf f( /9:kpzm9yn9g;6the end of a 1.0-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 the maxi;9 lz9bfpcmprln(x 6kg:/9 fy mum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whirled in a vertic a61t1 8sx3o bhjj9qjmal circle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight. The stone's speed at thso89hbj1 mjxa 1q6jt3is point is given by

  A stone, of mass m, is attached to a strongiuk92p v boqody1pq2c:7o/;ajwzk w 7o8* 3 en string and whirled in a vertical circle of radius r. At the exact bottom of the pa9qd2y p8 q2oo7e1k in/kj;uo vwc:aw ob7*3zp th 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/se vcs4p/ uqv15 experiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the pl/evs5qucv41 p ane is flying?

  A pilot makes an outside vertical loop (in which the cepq+2+* 7rs;2;chesehtaa wbqnter of the loop is beneaq ce*2ar7w qe b s;t+hs+2ap;hth 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 weight. How fast is he going?

  The maximum force a pilot can stand is ybfjbu+/c 1(c(bo x5/v o-gu yabout seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of j(gb 1cboou +y( /5vy/xfb cu-a vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal cur q,p( uun ol)a-qvo+0xve 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 car's tires and each 0nlapx) - vu,ouoqq(+road surface.)

  A car is negotiating a flat o i10rnc+zwizn b(u-9curve of radius 50 m with a speed of 20 m/s. The centripetal force provided byn+bir 9unoi 1 zzwc-(0 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 azid+*ehdbt4 rjkoc ti1.9dx ucf* ;ja( )r:,vt a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for t9 uh)dtczrc idx:t+(*df a1*ibejo. r kv,;j4he car to make the turn?

  A car is moving with a constant speed v around a level curkq j ;qpf5-ny0ve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of jnfq0ky5q p;- the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympirc)lpnv6 9 hz(+e cm67ytw+o tc bobsled to negotiate a 100-m radius tye6c l()t mz+r pn7h6+ocw9 vturn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at alu7 k0ggk)g/r-kh jq7 $45^{\circ}$ 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 ,8nvl 2u2rnb:ui5ljnof radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked ati wl4jll v6u*3 $45^{\circ}$. 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 uniformly in a horizonta9 lo64. 1j m mskjy8kz/w/fgutl circle of m.k yj9f4gzs 8uw/m1kj6t/olradius 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 rat je6t+b;+qv3gkpxmw ;e to a speed of 45 m/s in 1;3xb6 +wevm jktp;+gq5 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 co zk;u(mbrd1vm*m47 svrmbm7*nsists 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 pm. td4s3opi53 z hnav/erson standing on the Earth, due to the Moon? The mass of the M dhp.m/z3t 45 avso3inoon 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 z/+4lotlab+,mu8 bh ,rq(xu v the masses are moved to half of their initial distance, whav/xou b t,+aulr lb4hq,zm(+8t is the gravitational attractive force?

  For a spacecraft going from the Earth toward theaa . /i+n3qikwk9k (9 7il;aebehbix( Sun, at what distance from the Earth will the gravita(; hk. wi3q7(/keil ebn9 +xa bkiai9ational 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 is9q7:p4 09v6qij wi4wbt-a rhfkzj0 du $7.4 \times 10^{22} \; kg$ 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 fof 0c)ijenk8h,hau.o77h7r, amrfsd *r a "space-walk" at a distance above the Earth equal to the radius of the Earth. esr* .hhc7a077rhf maokdnj,i)8 , f uWhat is her acceleration due to gravity?

  The radius of the Earth is R. At l6otcs6xu-; nr)x c ;lvwkl 4mp d9;+zwhat distance above the Earth's surface will the acceleration of gravity b46 pkw;ncx9+l l-o) ;cxruv ;lsz t6dme $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above ncy9f-xpxc6j4*2 pu 9d hvsb+its surface equal to 3 times the radius of Mars. The acceleration of gravity of the sat64cxx*p2c9ju+-h9v dp bysf n ellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the mc- 9ff2a*fw( assde7acceleration of gravity ws*f7 f a e(d9fcsm-2ais $32 \; m/s^2$. 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 Earoeb.x i9e cwl5 j)6ha/th. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, wh lxi65o ch9we/e.a bj)at is its weight?

  By how many newtons does the weight of a 100-kg person 7k*2ltw lshd ;change when he goes from sea level to an altitude of 5000 m? (The mean radius* l7l;hd ks2tw of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r/n:y/g2 1iea+l dkp4x6nl/y +vi)lcdrv b/y v. A satellite of mass 100 kg is at a point 3r above the Earth's su/ )y//llx ve iip la+/4c1:v6g kyryvddbnn+2 rface. What is the satellite's weight?

  A spherically symmetric planet hh a -+t:gd8swuas four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the suratg- 8wds+ hu:face of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon,4 bt lxvwar-6/)dcqu5 Earth, and Sun all lie on the same line, with the Eart6/urb4)v-5wla cdqx t h between the 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 th w7 38mcjtcri/s3ivm1e 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 t:,2kwbg4xu o khe surface of the Earth). What is the speed of the su xb:wk, 2gok4atellite? (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 thel 7vq37k(e qwzw2 1mk7bk j*jw surface of the Earth). How long does it take to make one revolution around 7 2mw717 wk(q *wj3bq vkjelkzthe Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular o+m g;(jx4raj u(lv(lfw ;ea6yrbit 230 km above the surface of the Earth. It is ob( fx av lmu j(a(;w6ljy;+gre4served 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 diahec6asm6n* 1;drmp)uz 4o zo1meter 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 planetmn,-09mx9fi :qj:wvrg.eds 6w -mhb g 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. Moon Apa)snt vn76;w has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. Host6 w);nn7 vpaw long does it take moon B to complete an orbit?

  The planet Jupiter is r b)tt9ekr (m3$7.78 \times 10^{11} \; m$ 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 averag.48 l(gyq1eu snngk2 pe disq (nen8ygl 4us.p2 1gktance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)