Is it possible for an object moving with a constant speed to accelerate? 5 6ch d7)lzl(ucfh-f qExplainl7 z)lfcud6-h q5 fh(c.

  Consider a particle moving with constant 7*(bl- m,y. x ylwdsrgspeed such that its acceleration of constant magnitude is always pr sgbydm* , 7lly-xw(.erpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the directio yhq9. nlcgxc n)doh7rzrm,*6 c79ei 6:b tdc,n of the objg ixtc,mner7 .6ohyn)h9 7c,6bz9 ddccq*lr : ect's velocity and acceleration vectors.

  When an object experiences uniform circular motion, t;etqj wfco0 jr+l.t 86he direction of the acceleratio tjw ot;.rlefc8qj6 0+n is

  Consider a particle moving with constant speed such that its g 4v x0,drovjv 2ea/kol7h8 8cacceleration of constant magnitude is alway8o/l0axjcg4vr 8oh72kv ev d ,s perpendicular to its velocity.

  What type of acceleration.rgvseqc 8*iba 83v4s does an object moving with constant speed in a circular path 38bieva. s *sv c48qrgexperience?

  What force is needed to make an object move t7nco6s.. d0+qt nvzein a circle?

  When an object experiences unifo)4jbv sw8:ng hrm circular motion, the direction of the net forc j shbg)vn8w4:e is

  A roller coaster car is on a track that forms a circular loop in thed7./ s cxq;omdgibsr+0u; h1fs-6q fe vertical plane. If the car is to just maintain contact with track at the top of the d0-6d7eib1usq/rsm.so q; gfhc +;xf loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms a circular loop ad8vj-a/3c ,h /pn +r0awebqq (radius = r) in,j ace- rp3bna+ wda/h 0/qvq8 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 point?

  A pilot executes a vertical dive then follows a semi-circular arc until i/q3so tgj k4i/edw+kfvxu) z5t m0*+it is going straight up. Just as the plane is at its lowest point, the fo)v*gjxdi eowzk 3sk5/fi0/ q ut4t++mrce 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 c*gpbf64*rvlr urve 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 radius1uj6pkg0 va(8 r9ewqz r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal forcp6ja18rwzqe0kvu 9g (e 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 cons) sqn(2;hybc v.h:e,6 r r13jj8d kmgzmpz/amtant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the ca )vc;:mszh kymzm er61ja2hp gb3nj d(.8r/,qr as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius r wwbj t3y s--4luith speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal component b3lt sj-wu-y4 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 ang-e u7rib 09nit0g)o3-3b(fuk qpdbwwjqg6) t le, but one has twice the radius of the other. The sawdtb0p-o7(-bfgugk uwnr0ti 3i)j6 3b 9)e qq fe 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 bobsled track is nopkb1pxdy2h io0;8 n;qt constant, but increases upward from the horizontal. Com k qb8p;1 2hpdi;yn0xoing 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 mhj,85e 2r-noy.zo3e/ru y diboving around a circular path to have both centripetal and tangentr35. byehoory-e/j,8 2 uni dzial acceleration?

  The gravitational force between two objects i;fduyb -:kt- :p*lx* n+ tqwxls proportional to

  The gravitational force between two objects is inversely j4x rc)t,,nhdmd,a v:6 jzng+proportional to

  Two objects attract each 0i136kq*hbxoy rwx m9 other gravitationally. If the distance between their centers is cut in1ihr0xkwx69q* ym bo3 half, the gravitational force

  Two objects, with mass6 76m9cscki4lnifqlmxq3 9-w es $m_{1}$ 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 masd. .h 1lkp.-rbotr1wdses $m_{1}$ 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 4y.:4qggvf l w.em cz2universal gravitation.

  Compared to its mass on the Earth, the mak9 z( nrvs odys0qs/85ss of an object on the Moon is

  The acceleration of gravity on the Moo5 e39rr2u weukx*fd qp 66y2psn is one-sixth what it is on Earth. An object offpy u2ee wrx r*qd652k6u 3sp9 mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Eartxl k5t4g,qfz,,wl 4nth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At whryf +y*c waz71at point is it beyond the pull of Earth's gwfyc+az1 y7r *ravity?

  Suppose a satellite were orbiting th yy)g 7s0ohng.tq/+on e Earth just above the surface. What is its centripetal acc7qty +)h0 o gn/.osgyneleration?

  A hypothetical planet has a mass of half that of the Earth and a radius ofo,8 3kgi9us lf twice that of the Earth. What is the acceleration due to gravity on ,f isok9lu38gthe planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon iu *4 720x)wkzgufxhey s one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass c)x7 ewz*2yguxhfk 40 uompared to the Earth's?

  Two planets have the same surface gravity, but planet B hah( m;;sw hgav(e ()arks twice the radius of planet A. If planet A has mass hm(v;aas h rk);gwe( (m, what is the mass of planet B?

  Two planets have the same surface gravity, but planez*94 c: z36-ib6tjgb eaffggw6 y zvb/t B has twice the mass of planet A. bfb/cg6z 69e6btgav-gzi3w : 4zjf*yIf planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r)jo2 t) 2r.uaks about a spherical planet (mass Moj2a2.) ruk ts). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotatesi)jp2r 7egda ylo97p1j rjm0* in the same orbit. Compare thei9dm*j2oegrr jjl77a10) y p p two satellite's speeds.

  A person is standing on a scale in an elevator accelerating 5a.zup / r:4m6n(x b rripb6twdownward. Compare the reading on the scale to i6a.wxp n5z4r rbtru6(bp/ :mthe person's true weight.

  Who was the first person toe7dhb mf4lrnv gpf.75n 2s* b4 realize that the planets move in elliptical paths arounsbh4el mdnv5p7fbn7.42 fgr* d the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit around the4x6sbxh1ig o l 9pp*i- Sun,xix*pgi-9 hpl641o bs

  Let the average orbital radius of a pl4xev15+xjj ncanet be R. Let the orbital period be T. What quantity is constant fon5 cevj +1jxx4r all planets orbiting the Sun?

  A planet is discovered to orbit around a sta63/;y) edwqj csq4 bfb1iwy/ kr 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 p16ys wedbkq3/wbj/y;ic) qf 4lanet be, compared to the Earth's orbital period?

  The average distance from the Earth * s0ii+ilu8htv 2tkj ssx7u.8to the Sun is defined as one "astronomical unijx*iii27s. 8u +khl us0vt 8tst" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.jgv* p5gjx5 h3

  List the four fundamental fo,lfw nm -6u*hzzi**ln as ;nm(rces in nature.

  An object moves with a constant speed of 30 m/s on a circular trv9 jf r01 uiclc b6 o09,7d4id0mmiunuack of radius 150 m. What is the accelerad1ml70fm 6u9nc i,ocd0i uvj49 riu0b tion of the object?

  The maximum speed around gnmln 103bkz7 a level curve is 30.0 km/h. What is the maximum speed around a curve with twice t 0kzmgn1bn3l7 he radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimepknkx967:dl tter of a bicycle whn: 6tx9dpk7lk eel of diameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the p1di,f1/ og n x596,iyr3sn m0k stphjgyq*g )axis. What is n/i91k* 1 nh3jxqp t,sg 5ry0 mfy6 ,dpgigs)othe centripetal acceleration?

  How many revolutions per minute must a circular, , el juah.;t4ei-m( mwrotating space station of radius 1000 m rotate to produce an artificial gravity ofi,m-elejt. uw;a4 (m h $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes arzj 0k;1rhtpapo uy;*:ound a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motp;*zkt;uj ao 0: rhyp1orcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m sj5w, r c-oc(er cq 3t4,eca(cqtring. 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 theawcec(ecr43tqj-r c,co5 ( q, mass if the string is not to break?

  A stone, of mass m, is attached z7.0bini epme nf.op:k8/fm.to a strong string 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. The stone's speed at this point is gin7moz. ib/ 0mn: fp .peifk8.even by

  A stone, of mass m, is attached to a strong str)+bztq rltcr -hk5w4: ing 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. t-q :5kzlr4r bt)hc w+ The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4kqa bsx c,s8(p8 * /pf,fo*rvza6xp7hg when pulling out of the dive. What is the radius of curvature of the loop in whicho ,8kr*pxszvcfh ,f a6p 8/xq sbp7a*( the plane is flying?

  A pilot makes an outside vertical loop (in whichr-qkwwb9ravrz*2)+ i 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 zrb 2-qwkr a)*rvw 9i+with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weighf9i291o cdj mkiz 2a6dt. What is the minimum radius of curvature that 26dozm99kaid jc f i12a 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-m radius horizontal f v4mm*yzj57 gcurve with the tires on the verge of slipping. How fast can this car round a second curve of *57m zfymvgj 4radius 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 5 -4sankzmxq5gaawwj09):r ;t0 m with a speed of 20 m/s. The centripetal f ; w)tzma0aq-s wan:5gjkx4r9orce provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve o1u hr r;(v.o:wirynyli :p55e:e4o lqf 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 manwrleuy::i ye5 i(v;q4or5lro: p .1hke the turn?

  A car is moving with a constant speed v around a level curve. The coeff:mv-uci,4tuexo/ * +cm m2wytci+z *d icient of friction between the tires and the road is 0.40. What is the minimum radius o:+,icwmuzueico vmc t t*x/dy4*- +2m f the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to negotd td+6r31,b3 hgmtx xbiate a 100-m radius turn at 35 m/s without sb3d ghtdrtxxm,b+63 1 kidding? (Ignore friction.)

  A horizontal curve on a bobsled rvw/at o* 9pen0qe 7sg+)q ;sbn;1hpqrun 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 m, banked at an angle a;qe tmyo5wst80 10wj of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 mnbg0. r9;9lhnwgewc mv+ q q0je.v3y- 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 smmg/fh(w .s5of a string is revolving uniformly in a horizontal circlm (gmfh.s w/s5e 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 car accelerates at a uni,zgne 0rxc-ix;p: o 7iform rate to a sp,7o:nrepx;zi gi0c-x eed of 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 co q drr/3(w6 4xykt6qkznsists 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 person standing on iq,e jxo3 q-t ,i)c0g +z ykde(cw5y,zgan(;pthe Earth, due to the Moon? The mass ofqgjieiy 3 ;ao q+kt)z,-(0yc cgd w,e5(x p,zn the Moon 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 ) 4zh w6i mq::u* dilk(q6n mrirt;dq.the masses are moved to half of their i :(twd.6um zlh)n:q 4 kr;miq6q*dir initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward tq(p iybva82of ..hx w2he Sun, at what distance from the Earth will the gravi(hfv2o.wp8y2qbix a .tational 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 isbckh;rpw x 4je5fb8yjwn59d34-/o.o. v qvdc $7.4 \times 10^{22} \; kg$ 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-walkh,kj0v z:fi8m" at a distance above the Earth equal to the radius of the Earth. What is her azif, mh:vj08 kcceleration due to gravity?

  The radius of the Earth rtxwlv4 dr0jk e9*8lv-( 8 c0,lo soqais R. At what distance above the Earth's surface will the acceleration of gravity bejlw8dl 4okvr(0 c axv*,8 r09oq-t lse $4.9 \; m/s^2$?

  A satellite encircles Mars acz( 5lsgy ,whp3-p q:et a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as comparedy5s,zqh-egcl(: w3p p to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, 8k8ta1h t(usa the acceleration of gravity istatka(8 8s1hu $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on v*/7uen ;+ cir hy6,xtjito3ithe surface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what isu ;y +r 6h*in/ 7ivitctejo3x, its weight?

  By how many newtons does the weight of a 100-kg person chanienpwggrm/q6.-oct .d*+ s y 8ge when he goes from sea level to an altitude of 5000 m? (Thew o*8p y g+n/6m.qd.re -tcsgi mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. 4b yoa8jwe( iy .iu ee24;dis/o n-,dbA satellite of mass 100 kg is at a point 3r above the Earth's surface.ijd8.oia n,2yboy;(-idse4 ebw u/4e What is the satellite's weight?

  A spherically symmetric planet has four t6939jy3 5trwt9baqap y x+yui0q:yg limes the Earth's mass and twice its radius. If 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?0bq:6+9tgul9 i3ay xar t 9yywpj3 qy5

  During a lunar eclipse, the Moon, Earth, and Sun all**.u(boh )yj ,fuz pyd lie on the same line, with the Earth between the Moon and theyuoh ),.jy*dp f b*z(u 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 the-6wku p/sk/ /b)s/h*ij 1dbeqmfbda/ 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 theez7 mvpl 6f/y7 Earth (i.e., it just skims the surface of the Earth). /vz mye7 l7pf6What 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 Etw*u savw+hd2h+d/q+ arth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radius of the Ewq vh+a/ d*t u2++dwsharth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the suh8;prk. ubc11pcatw4yb3 3vurface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (Thkbpt34puruc8v b c.w1 ;a31yhe mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter,ovu ,s3yk mh4uu+78gca0) oss 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 plaai76uo o4)k4yvx3k bnkuzf2 )tuk 1*s net 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 orbfk8bs-yy kb3 *ital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one yb-* kbs8y3fkorbit. How long does it take moon B to complete an orbit?

  The planet Jupiter it7b4f,acoy; t s $7.78 \times 10^{11} \; m$ 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 yearszczl*/-7sz .vy u+ ous to orbit the Sun once. What is the average distan o/sucsul.-+* yzz z7vce from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)