Is it possible for an object moving with a constant spee 93ko ccc+ o*r7gv41 xzz s4xffjv3.kid to accelerate? Explais rj1zck+4.vo*937c oxik 4xfz gc3 vfn.

  Consider a particle mok:)wjaci(xu : ving with constant speed such that its acceleration of constant magnitude is always perpendicular to its veiu : )(kjc:waxlocity.

  An object moves in a circular path at a constant speed. Compare the+h /t6ay y0ocw direction of the object's velocity and accelyt y06 waohc/+eration vectors.

  When an object experiences uniform circular motion, the direct4s9 qp7yguag ezz(.p/ion of the acceleration pz /7yqg4 .eza sug(p9is

  Consider a particle moving with constant speed such that its accele.qsry qgg/ +*oration of constant magnitude is alsyr/qg+* q go.ways perpendicular to its velocity.

  What type of acceler z.0xmshx n))jation does an object moving with constant speed in a circular pa)xjm xhzs n)0.th experience?

  What force is needed to make an object move in a circle4gbkvrr:c,u5 ?

  When an object experiences uniform circulhv60wc wuho+m 51lvjrv(;:hn(f qd+ sar motion, the direction of the net force i+d1v+qwhs;fno:vh v m05(wcl 6h r j(us

  A roller coaster car is on a trace 3vnh5cvi 4tuqf/6 6mk that forms a circular loop in the vertical plane. If the car is to just maintain contact with tr4fi3mtvqc en6hu6v5 /ack at the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on aqf ciz,ma 2gh23ka ;i7 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 loop, what is the minimum value for its speed at that poi2 ikifc3 ;a7h,2zamqgnt?

  A pilot executes a vertical dive then follows a semi-circular arc u s7e2 uit2 aalh*jw98until it is goinl w2a a*2 t9iesu7hju8g straight up. Just 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 oydegf q)3n(se1jzk- 7r:n gw*ps;e4df radius $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve ou .q-ut/w;u ,4h-d0el5ynnqchb: lc ef 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 goes around the curve for the second time, compared to the fir-nl e.4u ,:ubywdn5q 0;cuc/q et- lhhst time?

  A car goes around a curve of radius r at 1 zegrsti1 x ,g*pb1i4a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is trsb1*x pi,i4 eggz11the 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 radius r with spehu:30jy efxw ka ,8/kz8w -bjied v. If the road is frictionless due to ice, the car can still negotiate the curey8i-w0w 3z,b jkx 8/jh:ukfave if the horizontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a b,vi *x6.e myspobsled run are banked at the same angle, but one has twice the 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 radiim sxp,.y6ev*us curve?

  The banking angle in a turn on pa/7xx,g6)p eo7d3lblbkx a .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 lower coming out of the turn. bb, pla6xxp og)xdae.k7l 73/ Why do they do this?

  Is it possible for an object moving around a circular path to hav e.m. j qj)0 fak+ifu1u.)gt e8sc3tkje both centripetal and tan)qcf 1mk0a i .fj3ej..ktgsju+u)e8tgential acceleration?

  The gravitational force between two obbt mq;-ip+1ua jects is proportional to

  The gravitational force between two objec.vjc/pxiri :n3pd a5 3;dwa:gts is inversely proportional to

  Two objects attract each other gravitationally. If the distancbv42l xnszbx. 0;b hb.e between their centb.4h bs0vnlx2;x.b zbers is cut in half, the gravitational force

  Two objects, with ma:f ehaa58hu -nsses $m_{1}$ 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 tjwx gd3a+os3o06aq/ $m_{1}$ 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 universa 8hele w07xv5al gravitation.

  Compared to its mass on the Earth, the mass of-v+mwjg3yl tw/yi(v , an object on the Moon is

  The acceleration of gravity on the Moon is o d qesas0y 0y2ahv9 a-mca2q7-ne-sixth what it is on Earth. An object of mas-qd07 yc2msa2vyeha q9as a-0s
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's. j2zrl aqp8y5zvq 1q) q/pnh72 l(ajo surface, the rocket's weight

  A spaceship is traveling to the Moon. Awd5p*yp ;1mnzt what point is it beyond the pull of Earth's gravitypd 1pnm*z5 w;y?

  Suppose a satellite were orbiting the Earth just a d2si/edojtb7kcme, s 1n8 *k(ssj, ;jbove the surface. What is its centripe is bkesdko/s( tsc,j*de8,j;2jm71ntal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius oi,nnio*;l tl hsj812-wtfd /wf twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration duesdhtl *- n wi n,/ij;1tol2f8w to gravity at the Earth?

  The acceleration of gravity on th 0k+il4f6) k- -qgfil( pmvzlpe Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Ear- pk fz+-lpg)k(6i0vim4lql fth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B0f7x-y ur)oou+ lnv ohc51kf05 0zril has twice the radius of planet A. If planet A has mass m, what is the mass of pla)0-o ocrnlvu05huky 1i7 x+ lzo5ff0r net B?

  Two planets have the same surface gravity, but planet B has twice the hn74x (mbmgfcol230 l;k2+vwcd2lw8 tec /ksmass of planet A. If planet A has radius r, what is the radius of planet ekmk 4l sl/3+dc h2ng2v8oft;b7 x (2cwl0mcw B?

  Consider a small satellite moving in a : ys51ml 7cnte+y b1zucircular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbita1b: 1+5myycste7nzl ul velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbirw* h dqf0x.ksmw2gf(ao;- o3t. Compare xqo.d wka(;w2 f *h3 m0fros-gthe two satellite's speeds.

  A person is standing on aoyq mz+6wz4v6g; r5s:al gf. u scale in an elevator accelerating downward. Compare the reading on the scale to the permy6.uoggz;aq6sw4 zf 5r +l: vson's true weight.

  Who was the first person to j nl8i5 iz0pp6q y3i,qrealize that the planets move in elliptical paths around the Su5,p ilq p nqy6ii3z80jn?

  The speed of Halley's Comet, while traveling in its elliptica :2pjf.mon5uu y8af6)nis c9dl orbit around the Sucn9:uo s2 )mypij6.n85 dffu an,

  Let the average orbital ra9 x9uo7biyohzif( - hn;e1,3t -qvzwfdius of a planet be R. Let the orbital period be T. What quantity is nqf1ex 9zwho o7-i( bz3 vth,u9-i;y fconstant for all planets orbiting the Sun?

  A planet is discovered to orbit around a sta qrbu9s1ks f( w4x)vb2r 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 of that new planet be)uwsqb2 r( 9b4kvxf1s, compared to the Earth's orbital period?

  The average distance from the Earth t7uaw2hv9 tu9 ugrmmj+j.f45 so the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-t.us7 mrhj 4v5wafjm2u+9 tgu9hird of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.3hpu84 ieu6ehh)jkk6wn) 8fp

  List the four fundamental forces in nac7l0aahjn ;xuvr .(g+ture.

  An object moves with a constant speed of 30 m/s on a*x dzx)+a3jaq circular track of radius 150 m. What isz3x+d)xja a*q the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is thnvul0.a1d xq 3e maximum speed around a curve with t.x0vnul 13qa dwice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter o)fp 9 n3 k;5gjzzr5wzgdsty+s7 (ntsg -n7(pqf a bicycle wheel of diameter 70 cm when the bike is moving 8.0 mstqr)g7snz(fwkz ;z- (gtpj3dp 9n n5gys 7+5 /s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axikn b;7z s( *2 +rgci59cdezpuks. What is t nkgbr(k i9;pucc+7dz5*sze2 he centripetal acceleration?

  How many revolutionsl+p)eba oo4. -cqhzw :rd/v -u per minute must a circular, rotating space station of radiuqd:o +ca/bv- erwl op-h. )u4zs 1000 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 130cvk y;7j jw n,mwj4llg; ,8iy1j3gac.7 m radius turn at 96.5 km/h. What is the centripetal for v1mg gj l;08ji743nc wjy,ljkacyw,;ce on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whirleyna2 +v:* hgsed in a horizontal circular path. If the maximum tension that the string can withstan sna2 yg*ehv+:d 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 str+l c hqg*+,saeong string and whirled in a vertical circle of radius r. At t*ch,+gql+ as ehe 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 strongqp q h8 0ub./hs/kdtr4 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 weight. The stone's /0tkqbr .u48dh pqh/sspeed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulling out of cq;1,ljo;qlz the dive. What is the ral , q;jz;q1clodius 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 ben7oy4m29uba q(wu39ndn9nm f a s, x8xzeath him) of radius 3200 m ,7xazomqu2 3 fn xmy9n9 au489sw(dnb. 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 about seven ti3hrn ; 5dof4ky-s,ljsrff c94mes his weight. What is the m3 rlfdkcf59-,n jo;ss hr f44yinimum 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 a4ux+po ,su.hwkr8-v in 80-m radius 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 car's tires and .k8wpu 4is hr,uo+v-xeach road surface.)

  A car is negotiating a flat8w se(;g8tbv(v8apd v curve of radius 50 m with a speed of 20 m/s. The centripetal force provided by 8;8vvdb 8(we ptva (gsfriction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of b,xvhc- .sq6x6iue+ai eph-;t-)mpw 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 make the )p-ch6s;ai+x wu tmpxi .e6bh,v q--eturn?

  A car is moving with a constant speed v around a level curve. The coefficientdle 70/sgoiq1 of friction between the tires and the iqo 7deg/1l0 sroad is 0.40. What is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled qm6ud( )b1vw1p7 gfd tto negotiate a 100-m radius turn at 35 m/s without skidding? (Igno mgp uqtvw6d17f)d b(1re friction.)

  A horizontal curve on a bobsk ,f53gdvl 63t -glyazh2ccc,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 ofjhz2r ;yf;/4ckg mu)0 m aw9aa radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80r6qxb gx .x+n;68: ns ohaujv9 m 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 of a string is revolving uniforc8zie) rffp mm8l2d.w3 -idxq 8 qp;aq9usx26mly in a horizontal circle.869i; 2 ps)qm m3alx-uq2pxfrd 8 q8cwzidfe of 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 fj 6- y8as:xfdcar accelerates at a uniform rate to a speed of 45 m/s in 15 x-j fd8fsa:6y 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 of a proto4i6qoh 4/z5. a ycpbcnn 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 gravitationa-e ng.,*0(zfd jrztv1yh1 kkel force on a 70-kg person standing on the Earth, due to the Moon? The mass of the Moon isd-n.fz 1gy,v(*0ekhkz jrte 1 $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masx475idoab, bwvr:arp9k* kd z or+3,gses is F. If the masses are moved to half of their initial distance, what is the gravitational attractive f7irxrvarbz,49 ka g oo+pkdb:d3 ,w*5orce?

  For a spacecraft going from the Earth toward the Sun, at whv7h.s 8, tsd/ov5l)iqr:sxa 2c)oqvaat distance from the Earth will the gravitational for)s a5:i8o/v rcvs2ld) tvqq,xo a.7hsces 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 Moontx/cn5p qd9 1uq7*8f8f h8birbgfx c. 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-walk" at a distance4i kmxbs n/6k4 above the Earth equal to the radius of the Earth. What is herks4 knx bi/64m acceleration due to gravity?

  The radius of the Earth is R. At what distancki *fit.o9f7 ue above the Earth's surface will the acceleration of gra9iku .f i*7otfvity be $4.9 \; m/s^2$?

  A satellite encircles Mars at ae,f1/qoe -bplmxu13s distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the accele/e m1,xsb 3 -plqo1fueration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center k-lt8uhg4y(q , the acceleration of gravityykg4l -q ht8(u 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 odj9cg8am7 ;p (+bhzzhn the surface of the Earth. The Earth has radius r. If the object is raised to a height(pzmz c +;j7h8a9b hgd 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 h2tn2* jro5xvo e goes from sea level to an altitude of 5000 m? (o5tnoxv 2j *2rThe mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at a point 3r above thg 4e+yktrh (v,e Earth's surface. What is the satellite's weigh, egt4( k+yvrht?

  A spherically symmetr bws*i4 p3dqeh4/ 6hspic planet has four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earpe h4ss*b/ 6 qpiw43dhth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun aqs r-oj 2m2uau5(,wbm ll lie on the same line, with the Earth between thowr2suua2m, -b(qmj5 e 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 tran6oa brqw5g d2m0,pomd: q06 losported 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 aboqojm+(5t964l ixgvkfl9 hfu 4ut the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The meaoj9 m 44q+9k6ufilg fhxvt(5 ln 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 vju,pa* l.o7 *f5fwea just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean rae*7f,. ua*pjol w vf5adius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above 7jknc j*ib)r-3m pur2the 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 th-urpk*37mbnir c 2jj) e Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbipv9sr1 f8d v5rtal 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 h-f z2,j:j/j dgta vraaxw3/*the planet 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 A has orbital radius r9jrrf 1n ;ptx5xq 99ug, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does iuf 9pjx;t9 51 rxrgqn9t take moon B to complete an orbit?

  The planet Jupiter is wruppzx,rli92+te 3xpt t- +.aa- (go $7.78 \times 10^{11} \; m$ 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 Sunvaz5glv i m0s p2ah8re-opc3. e+vs4 + once. What is the average distance from Jupiter to the Sun? (The distance from the Earth to the Sup ohs4.-pc lama v 3ee+vzrgis8v25+0n is $1.5 \times 10^{11} \; m$.)