Is it possible for an object moving with a constant speed tjywa/ i3,9/ d3ic eq d+ast,x:epx: dno accelerate? Explainx :3e/yaw s c9 +3ddnxe/qp,ajiidt,:.

  Consider a particle mopxt/t0bpp p q p 745v144msl;r.pit rbving with constant speed such that its acceleration of constant magnitude is always perpendicular to ixprpq p4sbt b;7lpt45 pvi0ptr1 .4/mts velocity.

  An object moves in a circular1qx2gp lf/;.wco.zd n path at a constant speed. Compare the direction of the objq 12glf.c pn.o zd;xw/ect's velocity and acceleration vectors.

  When an object experiences uniform circular moti it 8v 7;b*tt6/s n dh9ypsg-e:zmv;i x-ki.kwon, the direction of the acceleratione8 i7tgz .w :b-dh;m *nsxv-py9/;ivkst 6tki is

  Consider a particle moving with constant speed0m*rt/ opkzfchu))2n6lo2w6 1 rjtk p such that its acceleration of constant magnitude ilkp6h/frop6tmnzktj1 u)c 2 0o2* r) ws always perpendicular to its velocity.

  What type of acceleration does an object moving with constant , qa 4n2kgc4rgspeed in a circular path experie ak gqnc4g2,r4nce?

  What force is needed to make an object mon-hn udqn4;cn. zj :swc/)n+ tve in a circle?

  When an object experiences uniform cirw9jon e98l /wacular motion, the direction of the net force in8we9 l/jao w9s

  A roller coaster car is on a track that forms 2y.l8 v iw.gkha circular loop in the vertical planikv w28.hy.lge. 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 (*veqlk(tj .e/ mass = 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 loopq /ejvl(.* etk, what is the minimum value for its speed at that point?

  A pilot executes a vertical div b +l7qzyul7.lp:ip l5e then follows a semi-circular arc until it is going straight up. Just as the plane is at its lowest point, the force on him5lz qy :pl.7bulp+l7i 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 curvefk8 lra ss))7c 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 constantcsv5d5;l w)o,rp r8aif//q ho speed v. Then it goes around the same curvr5c,po)/ rifa vwh lqdo s;85/e 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 first time?

  A car goes around a curve of radius r at a const8:gz7) tl bogs4x7idsant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force gl g8osd7bt:z7)sx 4i 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. jzj4. 5+ei zfb5cc,: f qal88fyxr l(cIf the road is frictionless due to ice, the car c54fyc jclx.fcz8z(frb5 ij,eq l 8:a+an 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 same ann si; :j8j)qii5p5nx bgle, but one has twice the radius of the other. The safe speed (no friction needed to stay on )pii; b55njn8:ij sx qthe 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 bobsled track is notp 3bjxn bfj(17 constant, but increases upward from the horizontal. C1 fbjpbx3 n(j7oming 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 around a circular path to have bot*igt ft.lk2 zs-nv7ib8tuy2sq t/ b.3h centripetki3-2.g *sftvit 2./ unb t lsy7qb8ztal and tangential acceleration?

  The gravitational force between two objectss59vl h o,)nrx is proportional to

  The gravitational force betweeyfhltlg mvcj;h7 fmpl19e*+.3 )t. lcn two objects is inversely proportional to

  Two objects attract each other gravitationally. If gso7:yoe8.aj /yu5dt2 9ctzfthe distance between their centers is cut in half, the gravitga y s9jco uz/y5ttf:7do. 82eational force

  Two objects, with ma*w jp-qha4n6u wdv,kez +;m7ssses $m_{1}$ 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 4awybfop7g86n l0 x+( wjdh 2s$m_{1}$ 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 gravitation.a 2fbc: 3/tlbzgj dylttp217.

  Compared to its mass on the Earth, the mass of an object on the Mo+7ybwve-yy .a sh 4z4e8l73w8huo tf oon is

  The acceleration of gravity on thev)w;)di+-. wz gniohs 4zf )bt Moon is one-sixth what it is on Earth. An objectnh-+. 4vzwi)t)d zwfo;g sb )i of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves awau ;e+t ,jtwwy1y from the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point t sd2e(g:/mhbis it beyond the pull of Earth's grav/s:bm ethd(2g ity?

  Suppose a satellite were orbiting the Earth just above the surf(-6qykwc cq1c15zi 5uk jn4 hbace. What is its centripetack6y qqbj-c5u(4i1zh k cw1n5l acceleration?

  A hypothetical planet has a mass of half that of the Earth andv55yu yn5bup+ -.ubu.kqw rqif:p)*pus /nx 6 a radius of twice that of the Earth. What is the acceleration due to gravitx vn+u5bp kq. 5p/fuy). u qpy:bnwi5 -u6u*sry on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on8o dgsli hy07( the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is thyol 7sh0i dg8(e Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has twice the radiusym(1p;v5wow qz v5-uz of planet A. If planet A has mass m, what is the mass 1zz v5m-uwoy5qw(p ;vof planet B?

  Two planets have the same surface gravity, but planet B/qwp e khdv-1mu3mi )+ has twice the mass of planet A. If planet A ha1-qu 3w+hm eik)mdvp/s radius r, what is the radius of planet B?

  Consider a small satekm0v v* l)bji35qpeyq,r sq(;llite moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbital velocit5ykbesj rv m*pq3qqi)0(v,l ; y?

  Satellite A has twice the massdu5be,c cv :)yssa(t/ of satellite B, and rotates in the same orbit. Compare the two sa,tubsvd e): /ys cc(5atellite's speeds.

  A person is standing on a scale in an ele7g qr lr) rdly,jy/4f2vator accelerating downward. Compare the readingg 4yqy )ld2l/r7j,rr f on the scale to the person's true weight.

  Who was the first person to realize that th3p (rcqm +js-i50lx3 rj/hfefe planets move in elliptical paths around the Sunr5( emx rs+30jchfip-/ fj3ql?

  The speed of Halley's Comep9w) 4ms 2ufs7t)tds bt, while traveling in its elliptical orbit around the Su9s2w fdu7tp4msb ts)) n,

  Let the average orbiw3z;j: p*k-ivx/ c +w; 8ydaxwqgli+htal radius of a planet be R. Let the orbital period be T. What :lhvix/dzwy k iwx- ;8 ; j*gwca3++qpquantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star ihcmi/)0qg;qz/m j u kmkv1 *r;xqkw84 n the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. 1)m 8qhqvgcjm0;w4qr ikxz um/*/ k;kIf 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 thd2dkdi0xa 3-nxh2 o v*e Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average di-dx o2i2*vhx3ad0k ndstance from the Sun?

State Kepler's laws.7hp 0mtwvfn37hhxt1 i .b x.;g

  List the four fundamental forces in na;+2:l dvtn ha(a qfgn8ture.

  An object moves with a constant speed of 30 m/s on a circ tvur;dm8v 1e.a yyy:1ular track of radius 150 m. What is the acceleration of the objva ;:1m yr8.dyytev1uect?

  The maximum speed around a level curve is 30.0 km/h. What iab1z a9 .ca*j45 knvv4bjey*ss the maximum speed around a curve with twice the radius? (Assume all o*1vb5c*4k 49 bvaajy jzn .easther factors remain unchanged.)

  What is the centripetal acceleyz/)rjeba /x1en-vwh(,/ xbj,jer 8 nration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is movir),e 8z,-/y ejbxjvjnwnehxr 1/( /abng 8.0 m/s?

  A point on a wheel rz8lw. lfe .tu*otating at 5.00 rev/s is located 0.200 m from the axis. What is the centripetal acceleratiotef.z *8wl.l un?

  How many revolutions per minute must a jivd6 b/b3h ,:o rxvc+zp- n+hcircular, rotating space station of radius 1000 m rotate to produce an6z c:vv + j+obpn-/hxb,i drh3 artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius mbvo-i1 ;b -imkq8;:jm7npxdturn at 96.5 km/h. What is the centripetal force on the mo:j ;dmmximbkq;7-bpi 8n1v- otorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. Thf ,(sod7/uv nhe system is whirled in a horizontal circular path. If the maximum tensio(uofsv n 7,dh/n that the string 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 wsbmk3p y71 (dand whirled in a vertical circle ( wydspk 31mb7of 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 this point is given by

  A stone, of mass m, is attached to a strong stri1 /bycg2r) ongng and whirled in a vertical circle of radius r. At the exact bottom of the path 1/or)2cg gbnythe 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/ 6-kvq+zyiawx7 y:piuvi3k+nm7 ( ib2s experiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in2 yiyiubw(zpi:mavk-3kix + 6+77nqv which the plane is flying?

  A pilot makes an outside vertical loop b5;tr8 hjll qy-5/ ihw(in which the center of the loop 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 hrlh i5 ljw8 q;b5-y/htis normal weight. How fast is he going?

  The maximum force a pilot ) ,hoz +k3og55ysedn vcan 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 at a s+z g,o5e nd 3vsk)hyo5peed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radiuqa gx0qi ;d rmr-dl 0.d/p8:ncs horizontal curve with the tires on the verge :armd.-8 gdxn0pcd/ i q 0q;rlof 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 road surface.)

  A car is negotiating a flat curve of radius 50 m with a speedwlbc9 rclm9wk 5q8o- w9*zgs) of 20 m/s. The centripetal force provided b5w m9kw g- )*lb8wrsl9c9qozcy 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 at asmu9n(np7(,o um lt-h speed of 14 m/s. What must be the minimumhp7(,n-lsu(o m nu9 tm coefficient of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v around a level curve. The 1/f,hcs q5.bmgcw3njwjmiwo,5zjk 6) (k t6kcoefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curvem,1k miwfc tsh5(6j.ok/5 zk3),wwcb6j n qgj if the car is to stay on the road?

  What minimum banking angle is required for h /mkv6csf 8x,an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore cxhfkm v8/6 s,friction.)

  A horizontal curve on a bobsled run is banked a3 v gu*7-; *rzo lfi9je7erbtdt 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 an angle ofi vcl)3j5 v6yu $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bankezbje jtg)* )e9d 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 unifodxrt0hmfl:(; )fh -d*p u1zj ormly in a horizontal circle of radius 0rohf t:umf(hx jz)0pd d l-;1*.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 ( rgur3j5r7fv c /:tmoarea, a race car accelerates at a uniform rate to a speed of 7orj35(tm:g fvur/r c 45 m/s in 15 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 proton of *6ps no5kv ),(wmgd ze2.bz vsmass $1.67 \times 10^{-27} \; kg$ 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 standhf0z*kduiu (/ 6ieapfei);i)ing on the Earth, due to the Moon? The mass of the Moon is k iiiz/6d*eie )u;f)a 0up(fh$7.36 \times 10^{22} \; kg$ 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 ae 0j/a(rdl3rdre moved to half of their initial distance, what is the gravitational attra /d(e0 jrrl3dactive force?

  For a spacecraft going from the Earth to)02c :t.dwfzu -yk5ekc9iis xward the Sun, at what distance from the Earth will the gravitational forces due to the Sun and the Earth canccxi )-0 s:5ce.fdt ykk9zwu2 iel?
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 ised-0 cmr cmf1d 3yoe,m5qsz14m)iuq8el- .rv $7.4 \times 10^{22} \; kg$ 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 distance above rk ie6qb3 rce-)nq0s s :bv nrj*;7pz5the Earth equal to the radius of the Earth. What is her acceleration due to grq5q6*rbbj :svi rzkcs 3 0)ne -7np;eravity?

  The radius of the Earth is R. At what distance above tc7h mxal yb1 l;p6,o5khe Earth's surface will the acceleration o;a7lcy,mk5 6p o1blxh f gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distancew:2.+ usj/ytqpdi*nljfc hs080 -dty above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellityf / h0:0- qtcs.2uj *+sy dpjwnil8dte, 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 acceley0tnw* 8+- fk cume /3o.ukghsration of gravity isk -uy */wu+g8 cohsne0tf3m.k $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the su;v32iojhedb17 m3 hyaaa* f7 srface of the Earth. The Earth has radius r. If the object is raised to a heig733a hm7yvs;*21odhifbja ea ht of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight wn1u lyx yh*) 2p wb dk3pb;3pd+jy/mb/6gtx1 of a 100-kg person change when he goes from sea level to an altitude of 5000 m? 21 hg n3p/b)pyux bmwl*by ty+d;3/p16w dk jx(The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg ippchsh 23n u-xd70xb) s at a point 3r above the Earth's surface. What is hsxpcxn0 u)73b2 hpd- the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and twicbg6;3k4(vfwuam sx0r e its radius. gw3 bu; k 4rfxavm0(6sIf a jar of peanut butter weighs 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 u c(exqhf8(cbfw m((4 oj ,7epthe same line, with ,h (pcfjeme(7q x(ucw84o b(fthe Earth 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 te nht cn;.-b7o5i2rpr4uxnm,o 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 th:u3zb8 ood8hg e Earth (i.e., it just skims the surface of the Earth). What is the speed of bzg8 :do38 houthe satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit ab5wgdri+zxmd ,0hk59 bout the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (Theh m,0w dz5rg+ikx5b9d 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 Earth. It isbx v 1k+z tlo7/ru/)ot observe r/o ) ltv/+ou1kbxzt7d 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 i bf. b9cfe(j44gms 6wi1jp v.qgdf4+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 with a rav;cm3ez8fn b r lv662sdius 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 w0 xm+3+ng 4ekuqh pef-9rga+A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take mongr9uxfme q++0p w4kae-+ g3hon B to complete an orbit?

  The planet Jupiter iskqkuas/;(8znr 3dejo5m0, v f $7.78 \times 10^{11} \; m$ 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 ave ugan8d je/,n+rage distance from Jupiter to the Sun? (Tnu e/8d,na+gj he distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)