Is it possible for an object moving with a constant speed to accelerate? Expl(h6tw7gjw u t;ain.(6; uwjh7 gttw

  Consider a particle moving with constant speed such o jd 8*curm8ezc : apg-6bylxdv x2*9/that its acceleration of constant m8 *-cy* r/xjv m dp :bucg6a2le9zodx8agnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the directionz81 d/9u5kvm-dwgrhm* ec i 1c of the object's velocity anwmg hr*ve8 -dk5iu cz91mc1d/ d acceleration vectors.

  When an object experiences uniform circular motion, th2,h.tzhia g1q e direction of the acceleratiz i2tq.h 1gh,aon is

  Consider a particle moving with constant speed such that its acceleraki mg38i.0r ortion of constant magni.ir okrg i08m3tude is always perpendicular to its velocity.

  What type of acceleration does an object mov8l awsgvqcdcd.r7;fu u494h0j66 c f eing with constant speed in a circular plqc .h678fu9ucdj fc 4sd gvae640rw;ath experience?

  What force is needed to make an objec*wy( 23ury: v bolvv 9e0)7n uiiskm.pt move in a circle?

  When an object experiences uniform circular motion, the direction of the ne;djo5ztr;jou6n o:8q8 q0j8r t e/ dnat for /:ozj dqj jtnnaut8o;r 8oe0qd 58r;6ce is

  A roller coaster car o/uxob58ohzj-ftaq nk)q 7 5,is on a track that forms 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 minimum value for its centr fb 7n5x-zk qa8ot 5)jouh,q/oipetal acceleration at this point?

  A roller coaster car (mass = M)oic/ mfx clgiih ( 01oig(jy130/6sck is on a track that forms a circular loop (radius = r) in theihc 1x 6ci3g0/fl1c kgj(i/(0om soiy 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 vert:gqo5ty w2;uf8x6o d gical dive then follows a semi-circular arc until it is going straight up. Just as the plane is at its lowest poinx 86oqw;:do5yug 2tgft, 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 curvz*cj (poz.6+ -7tm nn1*bv l ohcswmf6cv)4cfe 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 sxsw 4+(am x*wzpeed v. Then it 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 for the second time, compared to tha * m+wswxxz4(e first time?

  A car goes around a curve of radius r at a constant spe8yxqe0k/qm 9ued v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second curve, compared to the firs9uxky80qe/ mq t?

  A car of mass m goes around/f-( ffw sj,j(hudf/ h a banked curve of radius r with speed v. If the road is fric-d/j hs(f,w fuhfjf/(tionless 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 aut4u:nv0xspk-ddbv.s m/ ..vnbc b) 4ngle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radius curvv/c.k.vnuut )dmvnb0p:ds .4b sx 4 b-e is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track isrkvmp( (9z *hj not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "cv(rpz(m9hjk *limb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an o;w4rj3w pp9 ibbject moving around a circular path to have both centripetalprjbi;w 9 w3p4 and tangential acceleration?

  The gravitational force between two objects is5cb-)r uak. bacnuuv:yo ,/d* proportional to

  The gravitational force between two objectbph g5e*kd 6.g/n) qevs is inversely proportional to

  Two objects attract each other gravitationally. If the distance beuacv33w-me z ,36fewdtween their centers is cut in half, the gravita3fze ,3ew-wdvau3c m6tional force

  Two objects, with mass6y q,as fyyeu f 1y37z7gfdlc3 1-3jqtes $m_{1}$ 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 massesgt6 :-z21gj xiaznu 9i $m_{1}$ 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 ui(vcyah ). w1eniversal gravitation.

  Compared to its mass on the Earth,mavmoxvt tl6;j:fu1/2 x.mn ;+ qjrd. the mass of an object on the Moon is

  The acceleration of gravity on the Moon is ed:z qqna/1f f6vibv:c,c;oea(,.e rone-sixth what it is on Earth. An object o oqfz nr(:va d:abe16,evf;icceq/,. f mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rockkzr1ry-uhc9 f j8a :a. 9h1rbket's weight

  A spaceship is traveling to the Moon. At what poinghc7j,; o)j2 tru j/kcz-wq+vt is it beyond the pull of Eart/zh;7cw jtjogvq , r u-+2ckj)h's gravity?

  Suppose a satellite were orbiting the Earth just above the surface. Wu s0) 1uw:p c9qpk30ugfao0x khat is its centripet0p:k03s xao)pcf0w1u9 gkuq u al acceleration?

  A hypothetical planet has a mqvyf+5jmvbo3+a.*8j fwccz9 ait e+6ass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to giw6+*o mbajj9. fecyc5z3+a vq f8 tv+ravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Eartv k2w9hqfo-3n,q4.p n c gvm qbt9):twh. The radius .t m hqvgvwqw9p :4-ocq,f2nb93k) tnof the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have theoj6rrd0 ) us3qi)vtl * same surface gravity, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of planet B?d3l6ov0 )r ) tqurjis*

  Two planets have the same surface gravity, but planet B has twice the mass ofn ,s 5/tfh7epx planet A. If planet A has radius r, whahs5/ extf,7 npt is the radius of planet B?

  Consider a small satellite moving in a ci 0fv 3) rhdv;wkjy8fx3rcular orbit (radius r) about a spherical planet (mass M)3 vfyh)j;frx3w0dkv8 . Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of -7js.c1h lbjd satellite B, and rotates in the same orbit. Compare the two satellite's speedh d cj.bl1s7j-s.

  A person is standing on a sc c 6zc*e6zo sucki45*rg*o bd9ale in an elevator accelerating downward. Compare the reading on the scale to the person'6o r*kcgz9*bzeu*ic6 5cd os4s true weight.

  Who was the first person to realize that the *2lrk*csnmne l21lc/:o j3 ku planets move in elliptical paths around the Suno ll:c*u/ k1le223rcjskm* nn ?

  The speed of Halley's Comet, while traveling in is9nv zee6dw7 4ts elliptical orbit around the Sun,de 67sew n9vz4

  Let the average orbital radius of a planet be R. Let ie; yd s/u17wedx5k4fx7hw +jthe orbital period be T. What quantity is constant for all planets orbiti wsh4xj; 1ue577fx ei+w/ddk yng the Sun?

  A planet is discovered to orbit around a star in thjw 4ml* 5(ox uvhtmz38e galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that st vwu *jz 3o(mxl8t5hm4ar 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 is defined as one "astronomb8 yefwo74+m x2).nw3qumrmt ical unit" (AU). An a 4wf3mo2xtqum er+y8wb mn.)7 steroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.rvx q )6ece )6;xnweht :5lae0

  List the four fundamental forces iweh(h4 5(jkbcn nature.

  An object moves with a constant speed of 30 m/s on a circulzm wpz 3b7tc6spt07 ) .zskq7agn,0abar track of radius 150 m. Whpzz,t z77sw s07)g0ackb ab 6mn.q3tpat is the acceleration of the object?

  The maximum speed around a level curve is 30.0 kmgq3;kselu h6i(ktxwc/5x+ 1t/h. What is the maximum speed around a curve with twice the radius? uh6ci1l xkt esxk(t ;w3qg5/+ (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a poi.1vm v) mjnv(j6u j8hnw -mez5nt on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0 m/vvjum(.j) 1hmwe n m8n zj6-5vs?

  A point on a wheel rotating at 5.00 rev/s is located 0.20r(/n( o/fm uvb0 m from the axis. What is the r(ubf/m vo /(ncentripetal acceleration?

  How many revolutionsbgcj b4a8w6s:,n d h2k per minute must a circular, rotating space station of radius 1000 m rotate to produbh 26asckn,8 gw db4:jce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. Ia.;v6sy9ydma nyh :,it goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on thea yv:y6h a;minds ,y.9 motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whirledz;mlfl fyux6 7knyd(kc)thk/ q89- ljg3-2c k in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maxh j6x2/ 78)d ; ugkt-cyml-(yfkk3l qlnfzc 9kimum 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 jrfza5fx 6 x*z ivm174circle of raf4am7 fv1zzi rj6*x5xdius 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 tl8y )r cl diua g1i*,f:z,7ofko a strong string and whirled in a vertical circle of radius r. f kl8 *uaz7gi1liy:f)doc, r, At the exact bottom 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 jet plane flying 600 m/s experiences an acceleration of 4g when pulp./ggau1n6bs ow)6, hgre /wtling out of the dive. What is the radius ogwa. r6gn /ht/osw)pb6 1,eguf curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop /e .owqc7;+xz1 smauris beneath him) of radius 3200 m. xz1ueqs;7. /wca+orm 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 going?

  The maximum force a pilot can stand is about seven time*b;vnsd3x6zf68 b h xda5 l8irs 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 speed ofx d358hbr 66nz8 dfxi;vlas*b 250 m/s?

  A car traveling 20 m/s rounds an 80-m radif.y3a7p87 o 15. zntrdxre/gjmo8ozzus horizontal curve with the tires on the verge of slipping. 7zoyr7 8 8jamdf1tr3xo5 ez z.g.n o/p 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 oyrmgpu ry 2/;f(pj1j1 2m i(u47ectnaf radius 50 m with a speed of 20 m/s. The centripeygm1ep tyr (c2j iau2np(r 174fm ;/jutal force provided 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 2z u3bh3l8 j7x zqgswe r-b-(pf5qc-km at a speed of 14 m/s. What must beqpb5r3-( kf 8z-eqg s3zc -blhu7wxj2 the minimum coefficient of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant spee b/sxx0x1pm c3d v around a level curve. The coefficient of 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 psx x3mb01cx/the road?

  What minimum banking angle is required for an Olympic bobse +l-wx3m (lalled to negotiate a 100-m radius (a -+wl3lemlxturn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bo (j3* pc 6.a7wkzgkigwbsled 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 m, bankei;ku*xphhh/dgl) ) wb h 3y)m.d at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is b.5s lq4udgn 4tanked 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 i2bxi q :gqy*a3 .omvy 2ds.w-bn a horizontal circle of radx ys3:bim2.2g*dba.v q- oyqw ius 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 acceleratem t j0ao aoef(uw1+(c8s at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical value in theoe0w uof+(jca t( am18 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 protnc :56+; xr1jzo7 eaw dpn8eiyon 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 Earth:rlf a4uby)a; hc l22e, due to the Moon? The 4blaryc 2h :e 2fa;ul)mass 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 F9qngty a2n*o/5e+ iiq. If the masses are moved to half of their initial distance, what is the gravitational attractive force*+g9na/qe ti52n iqo y?

  For a spacecraft going from the Earth toward the Sun, at what d i.cke p)h6sm6istance from the Earth will the gravitational forces due to the S picmke )6h6.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 9dplwd en* 11jis $7.4 \times 10^{22} \; kg$ 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 "spacs0k8 n s w(e.oqj7fi.e1djzv.e-walk" at a distance above the Earth equal to the radius of .s8jfi 1enz0.d ( jwkv q7os.ethe Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the nmz j:iov5b , tsa/bs377:cov Earth's surface will the acceleration of gravity be3z: 5bo,a 7tm7 s jvvnco:ib/s $4.9 \; m/s^2$?

  A satellite encircles cvh4i ,ova oj4tq-.6zMars at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleratit v4h6 v.joc qa4i,oz-on of gravity on the surface of Mars, is

  At a distance of 14000 km from so6i6, pjwnzk ziawvus+a e: (/-me planet's center, the acceleration of gravity i aw-:6i+wjv si 6uk,/z anezp(s $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface of the Earth. Thek;/)os jgf5)5 ofq;adw lo*e h Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is its fdesjooh5q)lg ;/o; awf)5*k weight?

  By how many newtons does the weight of a 100-kg person change when he goesiep)o-+/c:) rm.0tvpkgei g5;k jc qc from sea level t5-+oikm .epcp kv;ccgq:) igr/t0) je o 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 of mass 100 kg is at a point 3r axpu(ie2v 49lxbove the Earth's surface. What is the satellite's weightxu4liv ex2p9(?

  A spherically symmetric planet has four times the Earth's mass and twi;or qxykude 10/ym:a.ce its radius. If a jar of peanut butr1eod y/mky:0;u q. xater 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 agjd*zvvlrw9,6; 3 hxykga(:5/b owqnll lie on the same line, with the Earth between the Moon and theh *(z w,v:qkxrv5 ;6dgy9/ nlj3waogb 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 Mojhzqx) .w:pa0on.
(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 (oq8 uzb8m4g tbb1* q9oi.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean radius o4bubzg 8bt*8 oqq19om f the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it jus2y)z: m0wemq u,skb -wt skims the surface of the Earth). How long d)e zuq s wyk:2b-,mwm0oes 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 23w(ip5/wbwteb36f9 hm vo ,tt60 km above the surface of the Earth. It is o6wbpim5w/ht o6, ve9bt(wf 3t bserved 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)nb;*9vxm bv m yky56b 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 e7kutw0 n6x i5a 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 nebl ;m)nvv-8 mvarly 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 does it take moon B tob);8n mv vlm-v complete an orbit?

  The planet Jupiter isayxhqbk5b*mv(8zf4o, j3*azo 3 s .eo $7.78 \times 10^{11} \; m$ 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 averagan i8 6*xjixhhk8.d+n e distance from Jupiteh+d *8 xanikx h.j8in6r to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)