Is it possible for an object moving with a constantp / odisvb7d.r3*a8vs speed to accelerate? Explai3p /rao vs dds.8i7*bvn.

  Consider a particle moving with constant speed such that )*lqt4uj p y4.e.jj zwshd5:mud1 4ppits acceleration of constant magnitude is always perpendicular totuhsp1 du4 .pzjjq: 5m.pj44l)wd e*y its velocity.

  An object moves in a circular path at jlk hoy/9u3e,ow/bf 9 a constant speed. Compare the direction of the object's velocity and acceleration vectob,l39w9k y e /jhuf/oors.

  When an object experiences uniform circular motion, the direction of thedafeik0p*:( 0 aa 4j,vycw( n.xva s.c acceleracjp k,a:0v4awxic*ds (v.na .( ayfe 0tion is

  Consider a particle moving with constant spoo(g ckb)-s 5f zxgcg)qm5)h vc63t(ili o +y9eed such that its acceleration of const )ic6(sz)v yibcoh f(qk3 +c l)tgoog9mg-55xant magnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving witr vh.6i.0p2 zy7fgcs nh constant speed in a circular path experr.2 inz0gs fv h7yc6p.ience?

  What force is needed to make an obj. tey5 i d,nz3e 6ss+.qjx8ltxect move in a circle?

  When an object experiences uniform circular motion, the direc,rs jr 4b76pl p-n+qmktion of the net fors-qm,nl+rrbp4 k p j76ce is

  A roller coaster car is 2f rmd0 2jkax8h z92cgon 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 mkcjh8920 2z mgr2 xafdinimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms a circulaxe slom m ) *fdds/-y:)8jkge/r loop (radius = r) in the vertical plane. If the car is to just maintain contact with the track at the top o/js e*mgm8e /os dd):) xyf-klf the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows)k wxut-6a(c4wd g7byu ,kf1l a semi-circular arc until it is going straight up. Just as the pla4,ubc f)l d7w6 -uaktgyw1xk(ne is at its lowest 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 radius w6 kai+xill/jxq6w ( ;lk bslg3 jfhh)67 r64h$r$ 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 gu*:ajpe g6 io.oes 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 the first time?* aigoj pue:6.

  A car goes around a curve of radius r at a constant speed v. Then it goesgylq pfw .qfo1hv((emj s6o u*03x5*y around a curve of radius 2r at spf w6egvsx(u3(01ooh y5pq*f l *.ymqj eed 2v. What 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 bankedcs6s uy,u tsqe8. n48o curve of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve i8s oe8,quu .nstsyc64f 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 bqy u5vem 5nxa,0o,c)aanked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on thx ,eon05,cauavmy5)qe 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 not co81c 8 fwjz 5wzde0rxs911nqt pnstant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower jq zs0 frw81p1c en1tw9x85dzcoming out of the turn. Why do they do this?

  Is it possible for an object moving arod.91ezsier40m5c8wh dj* t il und a circular path to have both centripetal and tangential accelerat8*cir mh0 edtsl5i1d 4.jw 9ezion?

  The gravitational force between two objects i )rso/ gb,d5f fp0t4o88a oolzs proportional to

  The gravitational forc 9)rb3hgppw6oe between two objects is inversely proportional to

  Two objects attract each other gravitationally. -x jna/j-kc(.d8 wfb/gb;izoIf the distance between their centers is cut in half, the g--winb;ac/ dzj8x ojk/.b( fgravitational force

  Two objects, with maszak : xco+p4zzm; 1o9ao0k9i xses $m_{1}$ 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 4s1ed+b0w95e o29xwzofdtp r $m_{1}$ 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 universattp3diy; +r9e1v mol(ws; z5il gravitation.

  Compared to its mass on the Earth, the mass of an ob5f z ea2orh1v2ject on the Moon is

  The acceleration of gravity on the Moon is one-sixth /m3fi:z:mn/j33 v) mtnwsp ykxx,ag9what it is on Earth. An object of ma f /xtm/snwy x9n,:amjp:m zv3g33k)iss
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from th5r hhty* 7k9pzb3nl a-e Earth's surface, the rocket's weight

  A spaceship is traveli t7m/uho1 ;cajng to the Moon. At what point is it beyond the pull of Earth's gravityjtum/; 7 o1cha?

  Suppose a satellite were orbiting the Earth justh,4yo2jcq (jwu+0qvvb7av 0(a t.ufb above the surface. What is its centripetal accelerat,o uhjb vwv0a bcya0 .4tf(7uqv+ 2(qjion?

  A hypothetical planet has a mass of half that of the Earth and a 3,cfp,.v 9eekrq*e ib 3 )av; im( )hebcedm0pradius of twice that of the Earth. What is the acceleration duev*emb0 ,p3b9;fp(eidv c3ec ik q)m r),a he.e to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gra*s w0 ev: :;qyt4ika- q9uacitvity on the Moon is one-sixth what it is on Earth. The radius 0aiak:ci;eq: tvsw*uqyt 4 9-of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same su3g0maft325 z jeb++aayks jz8 rface gravity, but planet B has twice the radius of planet A. If planet A hasa3ja ae+3g 5zkytz28b+jsm 0f mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has ts/dlh4wav. .* ; ua y4*kn7ois7lb y8s+kojh xwice the mass of pll slya k *v4*+7b i4xsd8sjo hnuywo.k/;.ha 7anet A. If planet A has radius r, what is the radius of planet B?

  Consider a small satellx.mb9n8 q0 owp)w6ol0ooci:tv 4db+mite moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this . tq+xd ommwv wbno oc)0l498:ip06obsatellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in t6 ti-74wznp2 j)q cqmvhe same orbit. Compare the two satellite's speedsp n7tqimcz62 q jw)v4-.

  A person is standingl 63d vvq0lsg0,v j8ya on a scale in an elevator accelerating downward. Compare the reading on the gvvqya ,3vll86d0s0 jscale to the person's true weight.

  Who was the first perssuf,dnru3e+h f0 t- v0,0jqck rzt)i /on to realize that the planets move in elliptical paths around thd3rf,h0 qn) k/ut +,tr0cue-0zi vjfse Sun?

  The speed of Halley's 07bwew gt u6;tComet, while traveling in its elliptical orbit around the Sut7e; wwt6 gb0un,

  Let the average orbital radius of a planet be R. Let the orbital period be Tk 81kfi5 8dkzzwf :dj:. What quantity is c i df8kzkf8 1:dkzwj:5onstant for all planets orbiting the Sun?

  A planet is discovered to orbit argg rj)fgp ia.*2g18 b cmwo(6hound a star 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,2m6) 8.oagfgg( wpjhi1gb*cr 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 "asf0c a+ :/exfdjtsj; p,tronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the astsa j/t 0+jp:efxd;cf,eroid's average distance from the Sun?

State Kepler's laws.lwssf/6- c0mbf+ 7l-z( ai dem

  List the four fundamentf)k2 6 c2pv (bn91vz*puw45sbptojmk al forces in nature.

  An object moves with a constant speed hgc2pntft6ropd:m+7 e2x:d 7 of 30 m/s on a circular track of radius 150 m. Whamc:fn+o7x7g ed6hpt 2dr : tp2t is the acceleration of the object?

  The maximum speed arksaya tg/:yb h* v5v4eow*l1cs()v.di8 :gs wound a level curve is 30.0 km/h. What is the maximum speed around a curv:day*ob1swt)cvg .e w:/sy5a(sk*i8vglh 4v e with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bicycl, jvr+0xgr ,hee wheel of diameter 70 cm when tg,x +rvhr0e, jhe bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 re2s 79b/q slw ot:es)lsv/s is located 0.200 m from the axis. What is the centripetal acceleratiowl s bqt/l9s)2s7:seon?

  How many revolutions per minu w +3rp61oquutte must a circular, rotating space station of radius6uw o1+ u3qprt 1000 m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mrlv3yqdk 829x)3xk plass of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What d3yv32 9px llr)x8kkqis the centripetal force on the motorcycle?

  A 0.50-kg mass is atwbg:dhj)n*+l+fk w 4bc+l fd4tached to the end of a 1.0-m string. 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 4dnld+ wb+*wb j)fgkc:f+hl4the mass if the string is not to break?

  A stone, of mass m, is attache7indp,rv2 n o,d 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 p72n,vrnd , iopoint is given by

  A stone, of mass m, is attached to a strong string anwf /rp*2 c++g wnux*awd whirled in a vertical circle of radius r. At the exact bottom opcn 2w/f*ugw+xw+ r*af 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 acceler3m :p2eud0fo0l 0jifk2hz-wwation of 4g when pulling out of the dive. What is the radius of curvature of the loopfhi03:0w -ekmwp2 zjl02fdou in which the plane is flying?

  A pilot makes an outside vertical loop (in w1/y7nfq vakzf351p mkhich the center of the loop is beneath him) of radius 3af n3pyz/k k1q7fv1m5 200 m. 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 i vu(o/snf hy;wpdne1xl,9 /l1s about seven times his weight. What is the minimum radius of,1 fo x/e(9vpdl hnluw; 1ns/y 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-m radius p.(b3p pqb2ss cjq(4pbq,n/k horizontal curve with the tires on the verge of slipping. How fast can this car round a seconppq.q pk4b(3 cpbs/q,( s2njbd 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 speed of 20 m/abj kgw8jr w1t7.-nl(s. The centripetal force provided by fricnl7br.w 8w 1k-a(gtjj tion 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 speenotj7zs w- a4il* k7d:d of 14 m/s. What must be the minimum coefficient of friction between the ji 4onz 7:w*7kl-tsa dtires and the road for the car to make the turn?

  A car is moving with a constant speed v arounvp5i 6b stk7xuwn0csg ;0/l4yd a level curve. The coefficient of friction between the 0 t6vgs l5nksbcp70iux4wy;/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 62 l (:frzrfcu9k 0bltan Olympic bobsled to negotiate a 100-m radius turn at 35 m/s with0zur bll:k6t2c9frf ( out skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banke)ire s/q-(hvod 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 ) g)n4 n,j3hmelrrmz) an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is ba3upr/w/ f.qvrn.gu 3 mnked 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 horizontala9178eo h 5douo mnd3j circle ofan7h 1o 9odudj3 8eo5m 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 accv;x1h vrv9)y zes -5qvelerates at a uniform rate to a speed of 45 m/s in 15 sh 91 y;qvrsx vzv-ev5), 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 protuxw)od g;xk9 (on 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 f0 m(y9cli6 (-n2mkf.jxjdr tsorce on a 70-kg person standing on the Earth, due to the Moon? The mass onyf 2s0mxt (idkmjr j(-9l6.cf 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 betgmnn-k14h u-m)op / isween two masses is F. If the masses are moved to half on4 m-i u os-1m/)gkhnpf their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth towp(eepu5:u 8qz ard the Sun, at what distance from the Earth will the gr8 pzuq5 :eeu(pavitational 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 +oo7rzz jgnexz u/(-h xwg +9*$7.4 \times 10^{22} \; kg$ 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 8x2tr-icfrj/ia4xjn 7(n m(a*rm 0ob" at a distance above the Earth equal to the radius of the Earth. What is her acceleration duen/7mm-jra(oic0b rf 2(nit*jr a4x8x to gravity?

  The radius of the Earth is R. At what distance ajxa/ **f- qezwbove the Earth's surface will the acceleration of gravityewa -xq*z/jf* be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal v .x(rt( d -kfd.p8pcato 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity o vct8rf(ppak dxd.- (.n the surface of Mars, is

  At a distance of 14000 km from some a5rb:zo(k+b coqnhzy2 g/d: /planet's center, the acceleration of gravityo2cazr5h ( odb/k/gb:+y:q n z is $32 \; m/s^2$. 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. The Earthiu .6vjfr+ vm8 5*iqwmq5th an5sww6+ has radius r. If the object is raised to a height of 3r above the Earth's surface, what is its we6hnw+q um wm6irfw 5 v*ja5i. v+ts58qight?

  By how many newtons does the weight of a 100ax.*qbl81gjy -kg person change when he goes from sea level to aax l.*jbyg 18qn 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 10ge0c:5cw(bua zhtx41 0 kg is at a point 3r above the Earth's surface1u t:axc0cz hbge54w (. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mat6fyc+ wr* v36n6ftw fss and twice its radius. If a jar of peanut butter weighs 12 N on the surface of 3cff6wrw n*yvf6t t6 +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 ling i(p7ts 3qvz-e, with the E- z(pq3tvi7sg arth 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 to the Moon. s6yiv9q8 wrh ,
(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 (i.e., it just skims thq4s+)*fyw gki e surface of the Earth). What is the speed of g y *swq+i)fk4the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a 7a72reb r0un elow circular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revrur0ebn2 e77a olution 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 ofgis/izwadx3yw*zhj 81n 3::g the Earth. It is observxw* g8gzyz1 jh/ianw3 3sd :i:ed 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 a s:vq ,/;z6nunoub vla:b(wgx5 za9h ;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 Jupiter orbits the planet with a rv q :t6guv/lj5si/s4xadius 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 orbitak .wlknp3nm)g2-- odvl radius r, and moon B has orbital radius 4r. Moon A takes 20 days p) vl nd3w-kkm2-og.n to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isj7eko 4)c lc1svokuh80p n /9g)r(ewp $7.78 \times 10^{11} \; m$ 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 averagfgs - 5sunk)3iod(t2le di(k-)tdfg5ns3losi2 ustance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)