Is it possible for an object moving with a constant speed to accelera(6;2f8d sw 59e exql8 nk+ahihsk0zrdte? Explain.swi9a26krzh8x8ldh +d fe 0 ( 5;eksnq

  Consider a particle moving wit2: vf)z pxn yb3c;lxh*h constant speed such that its acceleration of constant magnitude is always perpendicular to its h:p);x lfcxzb23y*vn velocity.

  An object moves in a qbaex9d;6o-zzf kro9 brzi*q(5 q0b:circular path at a constant speed. Compare the direction of the object's veloc9 x eabzd-b;9qor *r5zo6qb :0kq(ifzity and acceleration vectors.

  When an object experiences uniform circular motion, the direcad10j8a)jtta tion of the acceleta8 a 1j)ajtd0ration is

  Consider a particle moving with constant speed such that its acceleration *4m lvztsj 3+pof constant magnitude is always ztsm3p *v4jl+ perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed i;3ul,3; 59ndm eswl lexsp5xvn a circular path expe3snx uls3 9e5w5 l,;pxd ;velmrience?

  What force is needed to make an object move in a circlj f /xzgw4wt(h r59y9(riiv(xe?

  When an object experiences uniform circular -nj;4kr/ emnr motion, the direction of the net for; jrrk-nmn4 /ece is

  A roller coaster car is on a track that m /mk,/sdnk +dforms 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 minimd ns kmk/,dm+/um value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms h3 uwgggbd*3.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 valud.3g* ghbguw 3e for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc untn:y7t3 l1zhg lrxh g*r+4u4loil it is going straight up. Just as the plane is at its lowesth o3xzhut44rl*g 7+lyn :r1gl 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 cur) xg23twr w9/b i.ulpn: ev,zpve of 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 p,sgm.,a):vjkl zl6eit 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 ,6:,kspll m j)ae.g vzfor the second time, compared to the first time?

  A car goes around a curve of radius r at a constant speed v.5k4cz bwe4(xapjl+:3q t j *yz Then it goes around a curve of radius 2r at speed 2v. What is the centra3wcjp4(5 bxlez j kt4yz:+q*ipetal 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 evb( 6nuk8s7hradius r with speed v. If the road is (vbu86 nke7 hsfrictionless 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 on a bobsled run are banked at the same3lvue:gf z ko/410tfw 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 cvf:tkfw l/ o 4zg1eu03urve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track i ,0)hx; oe,en,glewtns not constant, but increases upward from the hori,xw ,;leg)enh0ne,to zontal. Coming around a turn, the bobsled 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 arjn : j2rwqb7*6w-:os i*a cgwzound a circular path to have both centripetal and tangential acceleraj*grzqb ww7i ::o- * cnj6sw2ation?

  The gravitational force between two objects is proporfp e/mcj4.)m :dh;zp vtional to

  The gravitational force belw, rih5zhp2q;c z;6 ftween two objects is inversely proportional to

  Two objects attract eachxt7 (kt*guzkz:t(u d, tj-x5 s other gravitationally. If the distance between their cent 7u u,zgk*(5t :zdk xts(tj-xters is cut in half, the gravitational force

  Two objects, with masses ld8d1mt0fyb 2 rv4vp .$m_{1}$ 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 j.+ tey: mbze7pg 0rw ut70ew3$m_{1}$ 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 unipfpf/vb* en- 0versal gravitation.

  Compared to its mass on the Earth, the mass of oe9j+b6+ois w an object on the Moon is

  The acceleration of gravity on the Moon is 95 );e6dv k 2x pvygtsd 92hizd9bgbd5one-sixth what it is on Earth. An obg kg9 2 id vt6hxdzvb92 pb;)yds955edject of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, 4vzj k(dt br )9col2.jthe rocket's weight

  A spaceship is traveling to the Moon. At whatjga 7o-d 3 r f1reooad0b06;ws point is it beyond the pull of Earth's gravity 31d-a rwg;f0rsoj 67ea0odbo?

  Suppose a satellite were orbiting the Eaqw dh+0 fdrqo ejh lsj.,q94)*rth just above the surface. What is its wh+r 4djq.o,0 q *q es)fljd9hcentripetal acceleration?

  A hypothetical planet has a mass of ha74uco26qek xj u 3dw3xuvjb587z:a cplf that of the Earth and a radius of twice that of the Earth. What iskx678cpbx3 5z7 uvojw: de23juu qca4 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 Moon is one-sixth what it is on Earth. Theh-t :7 i*c 3hf/gdq2jpkrdc j7 radius of the Moon h-itc7f kr:7 g 3/*cjdj p2dqhis one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has twiuyvi;o 0ng2 6si. rmsfal:6+. oikd p1ce the radius of planet A. If planet A has mass m,v2 a 6ypiim i;rn 1s0+k.d ogusof6.:l what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has two7b7 rs4jmbv mjz:35z ice the mass of planet A. If planet A has radius r, w3jv4:msrbm577 z ozbjhat is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about )e7ij1ilu g ((sq jt-qrzu/3ja spherical planet (mass M). Which expression gives thisj-) ui( 7i/rjq31 z geulsqjt( satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, adil-, (to.yh g 34v6q p:iywgdnd rotates in the same orbit. Compare the two satellite's spee.wig-qy opd4id(thly: 3v g,6 ds.

  A person is standing on a scale in an elevator accelerating downwar 7yvz; xty+;iqd. Compare the reading on the scale to the person's truytqv + ;z;xyi7e weight.

  Who was the first person to realize that the planets move in ellipc(o vw/ whbv hkgr5o..r0le, ,tical paths around the Svecwvhr0bhg.,o5r/w, .k(l oun?

  The speed of Halley's Comet, while traveling in its elliptical or, j6am b,dfkt(j2p hvt.6)gywbit around the Su dgf2w6 (vk).y ,phj6mtbt,jan,

  Let the average orbital radius of aq/d vs5w+ tu(vem:)rs planet be R. Let the orbital period be T. What quantity is cduvwem(:+ sq/vs)5r tonstant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andreyrx8nlv3eo e u3mwai .jxqh8+6q4 q48-ku. komeda, 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, compax4+83ylx kqkh4i u6.ueo -vjqn meqra83 .8w ered to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined as one "bdw p7luk/f, kbb6d7go x;*r,astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from /dr*bl ,7 dwpofkbk6g,x;bu7 the Sun?

State Kepler's laws.bo-,it/fxlreph() c +

  List the four fundament1(bzpxk- s4vuvn2fwa+mz,w d.c g5 7bal forces in nature.

  An object moves with a constant speed of 30 m/s on a circular tra u ku4n/yxk.w)i0gra yxy:/+cck of radius 150 m. What 0/ /iygwku:) xruay 4+nkc.xyis the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maxi0wa0 pz- ltnrtghzw-8kf): r6; nin5hmum speed around a curve with twice the radius? (Assume all t ta0 5lk nr)-wrnh-hzf:z; ipw68ng0other factors remain unchanged.)

  What is the centripetal acceleration of a uqis.o y2,/.ioyp5 d gq7cq0jpoint on the perimeter of a bicycle wheel of diameter 70 cm 5,ds. cy q0oipqguoj.yq 72/iwhen the bike is moving 8.0 m/s?

  A point on a wheel rotating awwj4/ewh-v*r6 uef*g t 5.00 rev/s is located 0.200 m from the axis. Whath6 grve*e4 -w/w*fwju is the centripetal acceleration?

  How many revolutions per minute886bq ukkz om+ must a circular, rotating space station of radius 1000 m rotate to produce an artifi88ukq+z6 kobmcial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass og6 voa gyi/2,7dgl8ya f 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motora ly/do gg vi62ay7g8,cycle?

  A 0.50-kg mass is attached to the /3fdum,pkgjd 74 o9ce 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 maximum speed of g,pd3m uf/o7e 4jkdc9the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whirled in a vertical ci15sf 4 ,mk*+ y/hajmmsyh2 jokrcle of radius r. At the exact top of the path the tension in the string is o*my2h m/kham s 5f4skjyj, 1+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 stringfhic2w-.o 9 5v o ownbgb/8r/a and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string iv/ rocn goia-h8 b.o 2bww/59fs 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 pulli j) gxdw y/+e4yo- p2k70nw1gx (xfbedng out of the dive. What is the radius of curvature of the loop in which the plane is yx(2 gej1e)pywbxokd- 4w+f/n07x dg flying?

  A pilot makes an outside vertical loop (in which the center of the loxxb.,e6jmut /f5h 3sh op 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 his normal weight. How fast is he g53,hxf6esj tm/ubh. xoing?

  The maximum force a pilotzp7pyyn ; z4q2u6y,u deh(gy( can stand is about 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 atng;q z2(4 hy6 u,7e(ydyzp upy a speed of 250 m/s?

  A car traveling 20 m/s (t m2ib ,3yynlcqcb7(hw(v;qrounds an 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 o(32wq( nh y(m7v,iycq;ctbb lf friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 mkeq9r-vdsz s6.sr* x 1 with a speed of 20 m/s. The centripezder6 k s-1*vx.q9srstal force provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a fla1(9+*mz i3f yplpxfga t 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 makfp*(xia+ 3mzyf1 g l9pe the turn?

  A car is moving with a constant speed v aroih4*0k z l9wcxund a level curve. The coefficient of friction between the tires and tk4x *wl 9ih0zche road 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 require;q -j 2mph9eyvd for an Olympic bobsled to negotiate a 100-m radiuv yh2jp-q9 e;ms turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banke:33qfh kq az5 kex: /cpuhr1/hd 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, bqrjrt9 ))jn gp:dyu3**-,v 3akju e cxanked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked at s+t3vt:d4/ csf *j mc jdz5,le$45^{\circ}$. 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 revolv(uxx8g xmgr .3ing uniformly in a horizontal circle of radxxg(m3u xr8.gius 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 pi1r/e7juf.g 0hvgh egwysy/88 t area, a race car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radi w1er7y0 jg. f//shguey8h8 gvus 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 .)0 eiy( qcxwaof 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 s d kn2o-sg+cc8tanding on the Earth, due to the Moon? The mass of the Moon is 2cs- + g8dnock$7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masses is F. If the masses arebku q4wn q 2czxd;(8a; moved to half of their initial distance, what is the gravitational attracdbq; w(a2uqczn;x48k tive force?

  For a spacecraft going f0(yro1csm s 3 w1, nuexmlt5)from the Earth toward the Sun, at what distance from the Earth will the gravitational forces due yn5x u )m0e1fo(3t , lswmc1rsto 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 i,5 -ib3w uvb y/vak6cts $7.4 \times 10^{22} \; kg$ 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 oubh/ln t,a8/cvdo i)w)t for a "space-walk" at a distance above the Earth equal to the radius of the Earth. What is her acceleration due8ni )b c/,v)/aodwhlt to gravity?

  The radius of the Earth is R. At what distance abo4i jaor-og-q lq/jzp*h) ot*fj7m;t /ve the Earth's surface will the accelermjo /o/o-4 qtiz 7;hpa )-*t fgljqjr*ation of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equa7aqi)e kw3/ tz2/ h:0nagselo jhc0 e2l to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity o/ w3)/eeasck:ote0l qa0ig2nhz7j2 hn the surface of Mars, is

  At a distance of 14000 km from some planet's center, thej hw)+ h/hpz*:g/h ;jyoxltr+ acceleration of gravity is:hogt/jx)/*r y h;+wpjhhlz+ $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surfa8d(1y40pvj b uh s8ujpce of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, whatuubd0(h8 8pvpj1s 4y j is its weight?

  By how many newtons does the weight of a 100-kg person change when he goay2 .0s3dba dses from sea level to an altitude of 5000 m? (The mean radius of d.ys03b as 2dathe Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. :d qrww. um/o;A satellite of mass 100 kg is at a point 3r above the Earth's surfudmro:;w/.w q ace. What is the satellite's weight?

  A spherically symmetric plan:k mi+x)kk8uwzfr.d-z r;qw): *bou jet 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 Earth, how m ;ukx +j8*:rr:u-)zk oq)fwbizm. dwkuch would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, ,ck*l 1t 4rz ekg/9mzdand Sun all lie on the same line, with the Earth between the Moe/mgzlr1d4 * kkt9c, zon 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 )z,nbeb tdv8 :ff, 9vueu;zqo4zf/ z/is 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 circular orbit about the Earth (i.h(x2qpqiy w,0ri,n o- e., it just skims the surface of the Earth). What is the speed of the satellite? p,oqy 0wi-2xn, rqh(i (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 0p0:l fy8ruw6 uwq,p nskims the surface of the Earth). How long does it take to ma6 upr nyupf q80w,l0:wke 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 abovetipgf34p- k x3 the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the E3-4i tgpkx3pfarth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diamete0 5b(9s eeop3svwoxgd)+l n2 ;drsbk4r 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;,cjsr 7*n hlv 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 orbikm yaa8+o+df0/b7ip mtal radius r, andf +0 oad8/aik7 ymmpb+ moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter islqj,f uyw; h 42nb2nsrke-7f- $7.78 \times 10^{11} \; m$ 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 f+z 8 dwyzflg,q)-z1byears to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance fro 1zq-)yfblg dzzf ,w+8m the Earth to the Sun is $1.5 \times 10^{11} \; m$.)