Is it possible for an object moving with a constant speed to acce7d(kt oi7tki87 u:vf ulerate? Explaik7(fvu7: oid8 ik 7tutn.

  Consider a particle moving with constant speed such that it+i2o/uq6rr/v dzn8 md s acceleration of constant magnitude is always /modr+rqu/ iz6 nd2v 8perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Comparmmj9 ,u+ p1svuh oa5lbo9 +m;wa5ik j2e the direction of the object's velocity and accel; o+29v+p9 blj,o1akhiuau55m smjmw eration vectors.

  When an object experiences uniform 0lidnhe.im 7w 8 qwj2g95u0 wncircular motion, the direction of the acceleratiogin uw .ej8 wdmq97wi02 nl50hn is

  Consider a particle moving with constant speed such that its acceleration of /oew1h 1nniqvdw: y3 *constant magnitude is always pen hniv:1yeod*/3 ww 1qrpendicular to its velocity.

  What type of acceleration does an o f6 cp)*f/heui5rbph5j8dzn5dz xg ;) bject moving with constant speed in a circular path experience?cuhgfbzdpe /x 5 fpj6))n85; 5*dhzir

  What force is neededvd+c.6 zi4*wx+n c *lzg9 xik-u y)day to make an object move in a circle?

  When an object experiencp3k-8)lbhnhq+5 bazc es uniform circular motion, the direction of the net forhbnk+)l5 3bqacz-8ph ce is

  A roller coaster car is on a track that forms a circular loop in t p/ujh18o 8cd:dnp;xb s6okl ,he vertical plane. If the car is to just maintain contact witc 6s/p8hkl,p;dobujdn : ox81h track 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 a track that forms a circular looksdpjf65n4 ;l t4thu:p (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 mihj6ds t 4;:f4t kulpn5nimum value for its speed at that point?

  A pilot executes a vertical vtv,nt0283 s wk0boegdive then follows a semi-circular arc until it is going straight up. Just as the plane is at its lowest point, the,v knvet2bs w08got 30 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 pw,g)zy3: f2 po:a qnjof 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 it goes arou x,zl;3mo* 3vis en/mund the same curve at half of the original speed. Wha,e/3;v mlizosm*n u3x t 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 constant speed v. Then it g i00:ckuj,xwgoes around a curve of radius 2r at speed 2v. Whatiu,wk gc 0x0j: is the 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 speed v. If the ro0q/ het d + ,5rgdpkwnekq25ovz-;np6ad is fricti+h kdt0z5 dqg ,ov/rn ;p eq-5kp2wne6onless 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 same aja+ z ) -dto9kri0cj:ungle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run)a-u0 ic+kdzj):9tjr o 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 Olympi v *ur3fvl3-myc bobsled track is not constant, but increases upward from the l f3v3-yvmur *horizontal. 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 around a circular path to have both centrims/d:7ogc. a u7bbk a8pebd 7bumgkcs7.oa :/8a tal and tangential acceleration?

  The gravitational force between two objects is pr+-yg cg3 tct:-vpkp4( kv:oxr oportional to

  The gravitational force between two objects is inversely pcc+ql.- 1hbzx5k)pkw 7v*i mqroportional to

  Two objects attract each other gravitationally. If the di r7g8twv60gx istance between their centtixg8 vgr067 wers is cut in half, the gravitational force

  Two objects, with masses vn 0, /3(hybzlkm/xeb $m_{1}$ 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 masselo 0r;d8lpqv-v(pln )s $m_{1}$ 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 gra *dw zs7)ytb8)wlw-b*(wu8 lqler)csw 9wyj-vitation.

  Compared to its mass on the Earth, the mass of an object j ,/moaw t;c-yon the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earthnu8nwpfr5yy0ins)/ 8 k/ 8uqju,+j ih. An object of /qfy8sn j hi /+ u,yru5)iup80w8knn jmass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from56szo o)br2tqt .vy 1v the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond th9 az3mjh ktnbjt1o9 p55hw; q5e pull of Earj p3taj z95obtk51mh9; q hnw5th's gravity?

  Suppose a satellite were orbiting the +2w;1n pgzbc5(ybge lEarth just above the surface. What is its centripetal accelera+bwc bz 2;(pyge1ngl5 tion?

  A hypothetical planet has a mass of half that ofk0 e6b4 afa+wec9c6f4bepd n/ the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet fcn / 60fka+wb9aeep 4 be4dc6in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on ks:psir9ppt l vezc68( us3y7dd ;( q-the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's t;psky7(zri3 e6d us:pp c(sld98v-q mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B hmef pli5pn tnq-s6c +)u0(oo ;as twice the radius of planet A. If planet A has mass m, what is the- ql+p06tsmofe5) uoinpc n ;( mass of planet B?

  Two planets have the same surface grav1c 7 8npsxom nqk5l6-)f.xsqgity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet B?o6sp5snn gqx-. 1f cxk87m ql)

  Consider a small satellite movinucep :r(/zt (zg in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbital ve(c t:zz/u rp(elocity?

  Satellite A has twice the mass of s n;hn 8cqdr 8o7uv2bs(atellite B, and rotates in the same orbit. Compare the two satellite's s;7s(c qdo 2hvu8nb n8rpeeds.

  A person is standing on a scale in an e d gned0rd5 +:ny,sm l4vb:zvj-/t1dilevator accelerating downward. Compare the reading on the scale to the person's true wd:e+t, bdjlmvsz-/5ig 0nr: d4n1 y vdeight.

  Who was the first pers m6 w.5 8l0hmzfaqnct+on to realize that the planets move in elliptical paths around the Sun qf.la5+ 8cm 6wzhtm0n?

  The speed of Halley's Comet, while traveling in its elliptical orbit around the 0lhlhty8;(k oSun, l y0lhk(th8;o

  Let the average orbital radius of a planet be R. t3.l;rwq /gy y Let the orbital period be T. What quantity is constant for all planets orbiting the Sun?gt yq3 yr;wl./

  A planet is discovered to orbit around a star in the galaxy An5f2q ;im8tlcq 80.zmtu3gr rm 9n3hendromeda, with the same orbital dia 3m9ci;gn q.t28hmt0u zqenfm3 5rr 8lmeter 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, compared to the Earth's orbital period?

  The average distance from the Earth to thd mpj9f,a c/d0 iz3o7ge Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's md7jof/di9a c3,g z0paverage distance from the Sun?

State Kepler's laws.ii bm pk p* n78wvnt72y.8v9udie2 bk+

  List the four fundamentay+xc-xd6buxg,xxw/lqoj 4; x0qd)2il forces in nature.

  An object moves with a constant speed of 30 m/s on a circular track of rad; drfh7s+.dt xius 150 m. What is the acceleration of the obj7d; hdr .t+sxfect?

  The maximum speed around a level curve is 30.0 km/h. What )uylrfa kl)*9o tb1n +vkui7 ebb03t) is the maximum speed arounu ketbry0 3n+lb)*kl) vf ao)it1 7ub9d a curve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bicycfk*dp3a-3l khsxct;; n3 z(rkle wheel of dih *s3za-3k3;clfkdp r;x (nktameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 r fu:j 7j5 wx;kz9qx-n+kqr.o bev/s is located 0.200 m from the axis. What is thek7oj;n.jw+5q9 x-rzfku: xbq centripetal acceleration?

  How many revolutions per minute must a circular, rotating space stati 3bh)9aydznr *on of radius 1000 m rotate to prod*z3a y)rbn hd9uce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turcp,4n2nl7ps5 niii 2rn at 96.5 km/h. What is the centripetal fo2psr5nlcp2 ,ii7 4n inrce on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whvp.dcb 746 titirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. Wha v.47bd pt6ctit 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 and whirled in a vertical cirm*9*p1-q- kl8at2 h h qktwgzfcle 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 giv*g-z9-1*ah tk m 2wfk8lqthpqen by

  A stone, of mass m, is attachzqp/ut6 *lk8qqwk73 s ed to a strong 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. Thwkkt7z 8q/ pq q36*slue stone's speed at this point is given by

  A jet plane flying 600 m/s experioy;e gq0(rbri. qa 2pk9y.f2hences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane is fqy farp; qg.he0bko.iry 2 (92lying?

  A pilot makes an outside vertical loop (in which the cent3tz+d vm6nc6(1woc x/x9 x1v9 ad pk8bfx j/nver 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 his normal weizvvxd/m9+aobdf81n (6x6 13jcnt/ c9w kxx vpght. How fast is he going?

  The maximum force a pilot can stand is abohr ,o xfqi9l07ut seven times his weight. What is the minimum radius of curvature that alrfh9 0, i7oxq 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 horizontatv87qiaqa 7nz1:p q-e l curve with the tires on the verge of slipping. How fast can this zn8v q a:71a-t7qip eqcar 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 cb gy,)yjdh5dg97peh p (ij 5-yurve of radius 50 m with a speed of 20 m/s. The centripetal force p)j 9djyg-( pid5phyg,e5hyb7 rovided by 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 a speed jsxfs ;m57fw * kgfien /ed19+lno u;7of 14 m/s. What must be the minimum coefficie * wm+ ;dulnns ;1x7so7fgk e95iefj/fnt 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 curv m((dyw/qx s6j0)yffo-d hu *de. The coefficient odujh)o6ydx-(q0f( * wdmfy/s f friction 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 8;6muf3q rny jxl7 sc5Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding5 8yf76;rx n3cjlq sum? (Ignore friction.)

  A horizontal curve on a bobsled runga+m; -x;vnm l 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 a9gtw)/ i blj3 k2pe-s87llwkwt an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 mihon p1ofk6(5// .tqaucmi(c 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 uniformly rle9rkj: /b, 8 ,myq*l3 tuwepin a horizontal circle of radius 0pej q:tul,8,*mw k br9/3 reyl.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 tha) +a ghjzf9moa)po l4i1/vg; e pit area, a race car accelerates at a uniform rate to a speed ovgzahg4 mpl 1) / j)io;f9+oaaf 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 oydvjd8( h-e.cf 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 pepbt5 ;pxi2u)m yxbrfeo-. -i5rson standing on the Earth, due to the Moon? The mas5tb2bxp ;fuy-)r5-ipxm oi .es of 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 the massest /rf (g+q8csr are moved to half of their initial distance, what is the gravitational +c/8r(qtgsrf attractive force?

  For a spacecraft going from the Earth towap/l6or4:(m:xgat3 jp2tkp f ,v8b dfk rd the Sun, at what distance from the Earth willk :xkplbt: /r6t,aj34mp(2dogfvf8 p 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 is b)qb zm 7f)r 1hta;.uo,:g 0sgrzru 3m$7.4 \times 10^{22} \; kg$ 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 the Earth equal vy t7+xet,x3jqs(.n x to the radius of the Earth3 7yqjtxv n+et. xxs(,. What is her acceleration due to gravity?

  The radius of the Earth is :pp e/wfs7 r-sR. At what distance above the Earth's surface will the accel :r sp-w/spef7eration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance aiyy7nll)mt 9 :1y(az vmg4 o7mbove its surface equal to 3 times the radius of Mars. The acc zv9 1nilg7m(7a oymmy )4:ytleleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's cen p9v1d bi 7lddvsd*3lw z.od15ter, the acceleration of gravity isvd1d ld*o3l5 sbi7.1 d d9vwzp $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface ofc70*bbjf+v q n the Earth. The Earth has radius r. If the object is raised to a heigh07jnqf*bb+v ct of 3r above the Earth's surface, what is its weight?

  By how many newtons does the wp h,gf4+*jf hbxhp:f1 eight of a 100-kg person change when he goes from sea level tjh1phfp:*fgfx , b+h4o an altitude of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite o0 h1l268r qt kzs3tzyrf mass 100 kg is at a point 3r above the Eart6k3s1tt rhy2qlrz 0 z8h's surface. What is the satellite's weight?

  A spherically symmetric planet has four times the Ear8r3(+4wra/d bofkvo,jyi)p rth's mass and twice its radius. If a jar of peank+yrv jf4r(o8ao/ i)bpd rw,3ut 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 the same line,y(8v/ a oo:gsk with the Earth between the Moon and the Sun. The Moon haso: 8s(g vyoak/ 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 tdmk*jghb/ vm g3(a/7 qransported 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 qcij mn0q3ei-z+ k59i about the Earth (i.e., it just skims the surface of the Earth).+i jq-m9z50nikqe3c i What 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 circumdrpahl/a--p x70 c2r lar orbit about the Earth (i.e., it just skims the surf 2 l/drc xpm-ap7h0-raace of the Earth). How long does it take to make 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 above the surface of tnivvv(igc662tef+ 5jtlh:2r he Earth. It is observed to have a period of 89 min. What is the mass of2gl5n:j6+vithe v( ct ri62vf the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has a/rt4ydyu c k6:n 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 Jupc2cr09zv1.bw s y+yh oiter orbits 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 circularg)- xz w*kqc1rd .szs 21xnk.r 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 does it take moon B to complete an orbig.ckx )k s 1 n1q2d.*xrzw-szrt?

  The planet Jupiter ismd4:fv uej4(5xecdx 9 $7.78 \times 10^{11} \; m$ 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 p1i,jm 55snmf 0vwhj6 the average distancmw 5ijfs,0v nmh1 65pje from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)