Is it possible for an object moving with a co2pcu15c xsfj k+, fc/gnstant speed to accelerate? Explaikcx 1/u f5p+gj,csfc 2n.

  Consider a particle moving with constant speed such that its acceleration of e/se:e4oj u1q.)a*0k xyro owconstant magnitude iso e 0:qeorsx).j 1yk4woeu*/a always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. h)xnkem4 cc. o;fpb- 9azu(5rCompare the direction of the objerou fhz(m -akccb5. ) 9;4nxpect's velocity and acceleration vectors.

  When an object experiences uniform circulo eu u k,7ut-tzd-l0p;rq x(1gar motion, the direction of the accelerati0p -,(t gzu-lt;rde1u7kuox qon is

  Consider a particle moving with constant speed sucesx6l 1ofj +.dh that its acceleration of constsfd6o1 +lxje.ant magnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving with constant mwe3pb)t,6 *e.t;y )mqg /nsr;s 10eu vqzqcfspeed in a circular pa0e,emyct *)ngz;fe s;3 msqrt/ u6pq 1 qw)v.bth experience?

  What force is needed to make an objedv4xn8er svg7.7 j 8yolh4v,n ct move in a circle?

  When an object experiences uniform circular motion, the direction of the net 1(c *oa/ zz,a k-c+kyzdf.tnw forcecfkz- yzn,ka o(dw zt./+c*1a is

  A roller coaster car is on a track that forms a circh7 jv/kvd7k0 bular loop in the vertical plane. If the car is to just maintain contact with track at the top 7dv/ jkb0k 7hvof the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (m,at) o m+cq2xw1ual.z ass = 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 loop, what is the minimum vaa+lm. zq xc,1w)u ato2lue for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc until it isd0 jgdo dwr2;2 going straight up. Just as the plane is at its lowestdwr jodg0 ;d22 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 of raas* hkx8+pnks5 k t;z9ut(k w7dius $r$ 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 con (rhk-a-5vt+d o0a7dsp o tt2istant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal force o-i d0t ta7(2vhk5dr+soatop-n 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 j j:ci m8;1gi+j ra:uza constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the ciu+jza m 8jir;:g c1j:ar as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of radt 3:*h)pzvnys+a98s oy zvugh(n- 4bjius r with 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 in )a:*8ous sj zvgznh 4 y3h- +tvbn9py(magnitude to

  Two horizontal curves on a bobsled run are banked at the same ang bdwk kd(vfs*6h rq; h0g2x2s4le, 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 shd (24 qk0 wxfv6ksrb;s2g*hdafe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsledv+ v -2ctw *xjxyip nij3b2s62 track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," tjtv2*x3pj 2-ibsi+6xyv cw2 nhen 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 boa *b;chl dm:erv )k.(tcj pq,6th centripetal and tangential acce;.h) e v,bc:qmrta(l* c6jdkpleration?

  The gravitational forc(/mscynf( c2b-c5fmne between two objects is proportional to

  The gravitational force between two objects is inversely proportioncn8cct-(yo * v-yw4p pal to

  Two objects attract each other gravitationally. If the djnn-nn2w xm8 (o6 w+muistance between their centers is cut in hal+ nnm8n-xn 6ow2(jwumf, the gravitational force

  Two objects, with masnib)g0oil+(ou o.-8e u +o tsjses $m_{1}$ 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 5 xmd .1vm 51zp34k,w)per1mreiwt g a$m_{1}$ 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 grx 6v wg67:n,(zqlp (prh7jweqr2z5juavitation.

  Compared to its mass on the Earth, the mae.1t.qeufy0u+ eb dv5 ss of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what i01ro 2bacyd:+8gk j/mq8v n syt is on Earth. An objectsb 8+/no advycq jg 8ry2mk10: of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away fid 9oy8z7 bqq.rom the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. Az*qhhz,m 9 .o2kc ufm3t what point is it beyond the pull of Earth h*u,9ok z3m cfqh.z2m's gravity?

  Suppose a satellite were orbiting the Earth just above tfss d,;lh 7ry8r8f, pehe surface. What is its centrf,s,e lphfrr;8 7 8dysipetal acceleration?

  A hypothetical planet has a mass of haflfvi3 1;x8h klf that of the Earth and a radius of twice that of the Earthfhv i fx3k1;8l. 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 fe(qiw47;vrwt g8 w.fon the Moon is one-sixth what it is on Earth. The radius of the Mf f4vqiww.te r8g(;w7 oon is 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 twice the raddynyirp, v ;f(g9.hb/ ius of planet A. If planet A has mass m, what is the mass ydbh; 9ivry, n/gfp.( of planet B?

  Two planets have the same surface gravity, but planet B has twice theu0x+gmi 8i+/b-jwi uz mass of planet A. If planet A has radius r, what is the r-izi0 wxiu+m8 jg+/ub adius of planet B?

  Consider a small satellite moving in a circular orbit (radi8/ho8g+h xvj p4urwy 8us r) about a spherical planet (mass M). Which expression gives this satellite's orbital velochh8o/ 8g8 +rw4yxju pvity?

  Satellite A has twice the mass of satellite B, aw 9klxeslj0p t9/,)oqh.d( mx nd rotates in the same orbit. Compare the two saj(0de/ tll.m9 ,o )9s hxqwkxptellite's speeds.

  A person is standing on a scale in an elevator aw;dn+,k hrr 4 y+(hym8ij cei*ccelerating downward. Compare the readinr,h;8 +mniihkw(c rjy4e*d +yg on the scale to the person's true weight.

  Who was the first per jq k1z./xis m)3xbvz,son to realize that the planets move in elliptical paths aroundi xzk)x.b/vs1jm q ,z3 the Sun?

  The speed of Halley's Comet, while traveling in itsk2b-(ro h lr7 /y0jl jf.s6:fllyxo5m elliptical orbit around the Sr/ lfmo67lfxl0(j oyk.bh lj:s2y5 - run,

  Let the average orbital radius of a planet be R. Let the orb:9mw: z0vg2ru 9lzgee ital period be T. What quantity is constant for a92e v:u zegrzmglw09:ll planets orbiting the Sun?

  A planet is discovered to orbilf. 5 gva ja.yx88vqn0t around a star in the galaxy Andromeda, with the same orbital diameter as the Earth 8 vq5 afa8v.nlj.xy0g 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 isnxgn7cy3ir3d1vc8 x9,ub 5 ak defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average5crk833n1uay n,gvd c7x9ixb distance from the Sun?

State Kepler's laws.3+ 1,/n btnbevw.xm/ ts2ggbkjf/w7j

  List the four fundamental forces in n9iq9j:;b bpdnk3 5+j,gwp vr mature.

  An object moves with q -y 2r0v*-f,zysn)fapgok e,a constant speed of 30 m/s on a circular track of radius 150 m. What is the acceleration of t0gefk , z py vn*q),-afo-2sryhe object?

  The maximum speed around a level curve is 30.0 km/h. Wmph7+jn i9tp nx43z g.v8(yeshat is the maximum speed around a curve with twice the radius? (Assume all other factors (z.p3ven p 4nj8smtx i+7 yh9gremain unchanged.)

  What is the centripetkp4x 3 4 ujq*+msij/jwal acceleration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8+3jx44sjpm w *qj/i uk.0 m/s?

  A point on a wheel rotating aw6e4+ls x 1; uco0szrlt 5.00 rev/s is located 0.200 m from the axis. What is the centripetal acceo s;ru+l46lxczes01w leration?

  How many revolutions per minute must a cirdhum 8r brdo1q/ 75wusgwcxuuy64t wg,6 ( /h;cular, rotating space station of radius 1000 m rotater7 r6u4 h8w o ts6/1uqdwu(d/ xmyh,;gbgw u5c to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. kgit/n9d3)l0 ul:kh qIt goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on:0 hil)n93t/gukl qk d the motorcycle?

  A 0.50-kg mass is attached to n 0liut,ki 29ythe end of a 1.0-m string. The system is whirled in a horizontal circular knu,i09yi2 ltpath. If the maximum tension 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 st:b,.dq utaue,ring and whirled in a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight. Thb :qua edu.t,,e stone's speed at this point is given by

  A stone, of mass m, is attached to ajkle 8lhp(-9t strong string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in tl tklh-8e(j p9he 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 pullisakj,k o1d971,kckxk:i yp4g m* ,ibpng out of the dive. What is the radius of curvature of the loop in whisx1,g7bjp k9 am iki ,c1kd4k:pyk*,och the plane is flying?

  A pilot makes an outside vertical loop (in which themp/(kptl qd.47 mha 3iq n2a(i center of the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seadm4qkq. n(p 2(/ iptl 3iaah7mt with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven tipic mb.93jx2vmes his weight. What is the mincv9p.mx 2ji b3imum 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 an 80-a 0s i qk oy0kp9y35+c-yjap5cm 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 each 0yc c9a05ojkpa5 qy+pk-3 iys road surface.)

  A car is negotiating a flat curve of radius 50 m with a speed of 20 m/s. The j:bc(kvd r*d ;centripetal force provided by fric (j*db ;rc:kvdtion is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat vokv f,5v eb7k7vqoj9id* 1 v .v7z3afcurve of radius 50 m at a speed of 14 m/s. What must be the minimum coeffi7f5bkvv.7 z,vv3oiev7ov 9j kdaf1 *q cient of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v rem .(6iqs9t-mw)w32pwmpjk around a level curve. The coefficient of frijmps)3m w( rwm6.9 ek-2ptqw iction between the tires and the 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 required for an Olympic bobsled lf4fbjbkep1 /y 27a4dto negotiate a 100-m radius turn at 35 m/s withoutyba4f721l/p b d4j kfe skidding? (Ignore friction.)

  A horizontal curve on a bobw +gj-s+xw7c ;0+gesz 3eears sled 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 of radius 100 u.e1oika8 9e :zu8wl/u2hegrdpvr 83m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is cb6x.p lmdsy7r0m5e 5ut 86 7hg)pdnvbanked 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 uniformly in a hor,4-e amapf 4mgizontal circle of radius 0.a, 4gp-emm4fa 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 accel 8we62np*atocerates at a uniform rate to a speed of 45 m/s in 15 sa6poc nw* t8e2, 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 aj 3b zu8vo0 o4 d9pjoe4n0e0mgdtu5z / 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 standing on the Ea8ks,-)9xyqme8yr jkzx vru9 -sgsi 83rth, due to the Moon? The mass of the Mys gu-,smr9 )k8r3k8jx9-yqse iz x 8voon 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 the masses44*rfvtyeamvc5 yos) + fb, d7 are moved to half od 7vb5mc4,y 4er)tv o*affys+f their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance 7n quksq5f9vej 3e9- ifrom the Earth wj 7q 3iek5n u9f-sqev9ill the gravitational 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 in5 f78ucyo6e7:j w8(q nqhp-g9b:d 5dqcjh dys $7.4 \times 10^{22} \; kg$ 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 thenjmr,px 2 1/yk Earth equal to the radius of the Earth. What iyjmx2krn/ p, 1s her acceleration due to gravity?

  The radius of the Earth is R. At what divi d;x.;2kzs9 pfqv o;stance above the Earth's surface will the acceleration of gra ;o.pvzqvi k 2d;9sf;xvity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface e g:ouqa) gy31tqual to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mar3 gquyo 1)agt:s, is

  At a distance of 14000 km fromzbyjtcuq0 8ap(io9 ntib-8 7. some planet's center, the acceleration of gravity i0-ao.pbbcyii tq9t8(z8 un7 js $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 bmv8w ),o xey1N on the surface of the Earth. The Earth has radius r. If the object is raisw,y)8bxve m o1ed 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 personm9gq6se/ stt4.q* ;wu s1uwee change when he goes from sea level to an altitude of 5000 m? (The mean rat6/9wu ;te.gs usew1*q4mq sedius 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 ab yjmantliq-o8s.5gy;il. 35 zove the Earth's surface. What is the satellite'l -s a 55ynl o;jmzygiqt.8i.3s weight?

  A spherically symmetric planet has tv p9mv/r/b jwt+ dg2am5s0+ ofour times the Earth's mass and twice its radius. If a jar of peanut butter we+b9va/t+or2pgw dmvsm0 / jt5ighs 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 the same line, el)i8 vdjyf4, with the4filv8 y) dje, 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 tvop +ky89neh/ransported 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 circul.cctf.46k pgj9nvho+. m3m o oar orbit about the Earth (i.e., it just skims the surface of the Earth). Whatcpoo g+. v.fh mmk3jco.n964t 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 Earth (i.e., it just skims thegpbemb-rb ve/ jgba 41t/h./, surface of the Earth). How long does it take to m,/b -pahgt1 er/b.4ve/gbbj make one revolution around the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit9hn:r1 l: )xb*c9 jfv3 q twhowg7nih6 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean rafoqnt 9c jvhr37 h:h) gwlx96bwi*:n 1dius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupixd0yi ol+hx: :ya9.loter, has an orbital 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 radius pd7iqow/z d(0 of $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planet m+y.(m (6zttqw o3:vt9qhixho :y+t w in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long doesht +vtxq6 q 9oo+:t.:wwhzimy3 m((ty it take moon B to complete an orbit?

  The planet Jupiter is 2 yqc: e3xk:cy$7.78 \times 10^{11} \; m$ 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 oncefn(-7;nd*g:we oxh 8dlvka0qi-ml a 3. What is the average distance from Jupiter to the Sun? (The distance from the Ehldafi(*w da m:g-8xnq; v0 el-3k7 noarth to the Sun is $1.5 \times 10^{11} \; m$.)