Is it possible for an object moving with a constant *ed i-xz0b3y jk03pprspeed to accelerate? Explain.d zp3xr*i-3 k0b0epyj

  Consider a particle m vo:/c8q04gg)cy dqld wi:.kvviw / ;qoving with constant speed such that its acceleration of constant magnitude is always perpendicular to its velocit ;y) 8i/4 vq:. gkcdd:0gqqvwwc/iolvy.

  An object moves in a circular path at a constant1) 6hdk k:mwasaymh0 ( speed. Compare the direction of the obje: mh m h)01y6(ksadakwct's velocity and acceleration vectors.

  When an object experiences uniform cuorp 7(bx-icykv7 wx5w- dvey*wg+ ()ircular motion, the direction of the acceleration 5g(-xp+rb) wi k uwdo7- (w7yvy*xcveis

  Consider a particle moving with constant speed such that its accele k,rs7)u) ve wf/-wmviration of constant magnitude is always perpendicular to itsmfsvv7rwu k- w)e/), i velocity.

  What type of acceleration does an ob4oy 1ex0yq9* sz7 xqkdject moving with constant speed in a circular path experiences4k y70dxxq*1 e 9qyoz?

  What force is needed to make an object move in aztwkn8 8a)ju5 circle?

  When an object experiences uniform circular m9 vktds,73oc yhz-5jmyvgq;of 5/ .xcotion, the direction of the net force mysf/;g35jtc 5 z.do,7coy -xvk9qvh is

  A roller coaster car is on a track that c1getxp9 e6oh qmwg+ v8+0x,fforms 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 centripetal acceleration at this poinfepg61cvhxo mw+ q t9ex0+,g8t?

  A roller coaster car (mass = M) is on a track s;n2rmj .b;nbb.uj8x 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 jnnjs8.b u2brm.;;bx value for its speed at that point?

  A pilot executes a vertical dive then fo kklb;)qdj k/*llows a semi-circular arc until it is going straight up. Just;j)d k*qlkk/ b as the plane 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 curve5h8tlyevve :zo h+ zjhl(k3/+ 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 speovysrs-b6* 8 0vr,cqv ed 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 curvvqo0-,r yvcbsr 6s8* ve for the second time, compared to the first time?

  A car goes around a curve of radius r at a cfn)4q50zz e)v,kx)31 iwf ux)g fn jrconstant speed 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, c)f zr3v)j)qf w1 zfxun, )gk4nc5ie0x ompared to the first?

  A car of mass m goes around a banked curve/;- d-vaegrej of radius 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 ;ede-v- j g/raroad is equal in magnitude to

  Two horizontal curves on a bobsled run are banked 2opi 74zb 7:pz zhwzwdn8: z+hat the same angle, but one has twice the radius of the other. The safe speed (no f7d82wz z :np:h7zp zzwo +bhi4riction 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 not co8ndmr n2mdw ):nstant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intw:dmnmn2r )8 dentionally "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 centb8my yf:jbc4; ripetal and tangential 4 bfm j8:;cybyacceleration?

  The gravitational force between twod-g83e5n f hrl objects is proportional to

  The gravitational force betw,v pt zo5(d uugv+3f(l lcsb9;een two objects is inversely proportional to

  Two objects attract each other grah2)dgl88rcqdqg i7+: rni ui 6vitationally. If the distance between their centers is cut in half, the gravitational force:qi6) q +hdlrgucnd82 r7ii8g

  Two objects, with masses v6. p wo orc:gr8 q3ue39qxeo2h26djr $m_{1}$ 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 wuka*3ohc9-qq cpp.: $m_{1}$ 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 gravitatiid+y8xacehhb, kzbki7m7l .j: 6 fq+5on.

  Compared to its mass on the8 5 loek*+vv,mak2jbos9a 4 s -yrxe5l Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is 0dm b.3 6guswy6rc)si on Earth. An objes 03).wbuircsy m6g6dct of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket's weightqhtn 7 ,ctgtdv 3c4.a7:1 eudc

  A spaceship is traveling to the Moon. At what poinol-drfr+7,c ( :ge;gry fpc9d t is it beyond the pull of Earth's grg g(doc+p ;c7:fd er r-lfyr,9avity?

  Suppose a satellite were orbiting the E k.zk0w: q,9euiwk1 ktarth just above the surface. What is its centripetal kkw,u z1i.q0wkke t:9acceleration?

  A hypothetical planet has a mas kv7 uxoul*5i26dtxf.sq we 1,s of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to uw2 k,i6udfesv xo5*tl17. xqgravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Earthfc lmkjr0:v.lm-1 3vh. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's-l: 3jvkv fml 0h1m.cr?

  Two planets have the s9vin)nm35hw i4hc1 ue2z-zm lame surface gravity, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass )z12 v5m9i z-ch3hwimnln4ueof planet B?

  Two planets have the same surface gravity,3s)-vy g -7t8 dffr;xqn1wdhbr x90si but planet B has twice the mass of planet A. If planet A has radius r, what is the radius ofw7qi )x;-rn3t1f 9g0yhrv- ddb s8x fs planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sphr5 gvgp nkpiyw).a/*/a*v o- lericakvg/ vop .5)lwag nr*-*/iya pl planet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the maspe*nf rribks6e(,a 6y5/m 7yhs of satellite B, and rotates in the same orbit. Compare thefr y,e/ep7i6m kb(rahn 5ys6* two satellite's speeds.

  A person is standing on a s**dzshx2yuzcg s+0u/zdoy ,f85 p;r scale in an elevator accelerating downward. Compare the reasz/2ys u8z yuzds ,xrd fo* +p5g0c*h;ding on the scale to the person's true weight.

  Who was the first person to realize that the planets move in ellipticalqh ydk :7/hp0d paths around: k/dpyqdh70 h the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbitqg: 5pinn )bl+ around the Slb n5 qngp+i):un,

  Let the average orbital radius of a planet be R. Let bx8qy/* ncq7vthe orbital period be T. 7q/b xq8vyc n*What quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a staw zk6b5oovxzc7d(o4b3cd5 +vr in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star hd3674bx(vz wokcdv z5co+ob 5as 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 Ear-:tf, -fo,j7u yqgkc;m4 x bvuth to the Sun is defined as one "astronomical unit ,cu:gmyq;xfvt, -4 u -ob7jfk" (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.clab3hq lp2jg .807pk

  List the four fundamental1ojx) nmav 8,e forces in nature.

  An object moves with a constant speed of 30 m/s on a circular t211 cgy(8ajgpg946 ndmd3t dcy+kwjt0m )gw brack of radius 15g)nd6 dgpctjc y1t2g +938 wk bmmg1 jwa0(dy40 m. What is the acceleration of the object?

  The maximum speed around a ccg+ lug91y8 kf/lgf)level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other faulg1+kf/8 lf )9cygcgctors remain unchanged.)

  What is the centripetal acceleration of a poxqv: ( s/ovivdm 96qdb -xb+m/int on the perimeter of a bicycle wheel of diameter 70 cm when the bikebqi ov-/ m:6x(9+s/mxqddv bv is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.20u(b v- -9f; jny m.f)7kvxkm ds2eh,yd0 m from the axis. What is the centripetal acc.dn,-yb 72d-(jhkxveu;)f9kf mvmsy eleration?

  How many revolutions per minute must a circular, rotating sk xffu g9w*pw:jh7t k8u( ;/aspace station of radius 1000 m rotate to produce an artificial gravity offj*w/pu;fk: w8ak(7 xhs9u g t $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radiufj+*ih+8u. g0uf kn ags turn at 96.5 km/h. Whatg g+i0jaun.h*k ff+u8 is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The system is whirledq:m 0hy2l 0rqf in a horizontal circular path. If the maximumf m002hy: qlqr 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 attaysy1 :0uxmbe( ,dhk27tkkl t;ched to a strong string and whirled in a vertical circle of radius r. At the exact top of the path the tensix0y, d(1ketuyk h7sb2klmt :;on 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 to a strong string an4zr.(e), bbbi jfx.nfd whirled in a vertical circle of radius r. At the exact bottombr z4fnbe .)jb, xf.i( 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 a l mm(f2:apc uu,wzj-9o+f6fw kw3sk;n acceleration of 4g when pulling out of the dive. +fcf3 uoaw ,kp:mls ;j kw( u6m-w2fz9What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the cb c4pitr, re4h0wk*un ff--j8 x- jv.henter of the loop is beneath him) of radius 3200 m. At the th*vtcjwfp b4j8 i u rr4.0-- x,ne-kfhop 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 ,mumosy bzu301n+a w4vb1d8 e0/yyv dabout seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a wev b3 1+myd/d1o 0bvyz u8yusm,a n04vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s ro( drma ee5v56(abp,dt+(c obyunds an 80-m radius horizontal curve with the tires on the verge of sopc y,(ab 5e( (a 5vmrdde6bt+lipping. 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 z -/blg(fo:ts of radius 50 m with a speed of 20 m/s. The centripetal force provols:ftz/ (-bg ided 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 afdbw0(.4xi: u mg5yoxn(sk*/xe 6v em speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to make the tu(m:6x4di n5e*x0wysbk /x. m vegf(ourn?

  A car is moving with a constant speed v around a level curve. The coefficienujmy - ;xd1wx;b9b b.: qiimc(t of friction between the tires and the road is 0.40. What is the mbb; uxdwcmymiq: bx j. ;1-9i(inimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required p5 rjh.2 imd4, fgkj(qyhy 22jfor an Olympic bobsled to negotiate a 100-mdr4fhpq2kj.jmjh2g y,2y5i ( radius turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is baw;s-j;,r hxx4e p7bmw nked 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 rq wm48;-6itae x/ke eyadius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banken v4:1u6kiws b ;jt/nsl)ivh8d 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 strin dk) 1 7/vx0rnypagl/cg is revolving uniformly in a horizontal circled0v1y7xlprc ) g/an/k 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 caf*vh ify. 4+fwr accelerates at a uniform rate to a speed of 45 m/s in 15 s, mo*vfw +ff4i h.yving 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 aif*f/n cz4p c-2j i3mg 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 for p-nh o6i0)hh aho5bxa/*v; lkce on a 70-kg person standing on the Earth, due to the Moon? Ti*/lpxhvh5-6 ;o bkaoa )nhh0 he 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 F. If the masses aro9xliy8ewj8nd 9u*fy wf6(t- e moved to half of their init8 xyl-6ejwf(n*fo 9 yt id9w8uial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what dist4;5qnkzgk7s 0oqq 3phance from the Earth will the gravitational forces due to thz4n;k 57sqo qh0g3qpke 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 Moonh +*mj5fa xw soce:j9; lr-l6r is $7.4 \times 10^{22} \; kg$ 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 brjsav 5j dac m-/.o*:y7ae t-"space-walk" at a distance above the Earth equal to the radius of the Earth. What is her acceleration due ty-5* -:b.rtm 7v oa/jaadcesjo gravity?

  The radius of the Eard dbiqs vot6: 45fqa,4b; +mbmth is R. At what distance above the Earth's surface will the acceleration of gravityi46v+mdbb 5qqt a;md s,4bo:f be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface eq8 ltk/05iba1*crydi;*sg be gual 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 Mgg8sekby5dr*it 0/ila;c* b1 ars, is

  At a distance of 14000 km from some planet's center, the6 l71a+nta,sl bdx8 urk/f5nw acceleration of gravity iul7/b a6nsdkaxlrf w+1 n58, ts $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface * th*s xsd0z5yof the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what ssd t* 0*yz5hxis its weight?

  By how many newtons does the weight of a 100eckub31 f2qr 6-kg person change when he goes from sea level to a2c1qfk 3u erb6n 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 ff zq74nni, 1uw:vs-k at a point 3r above the Earth's surface.in-s4,7f:z1 k wvfu nq What is the satellite's weight?

  A spherically symmetric planet has four times the Earnut2; qced5 zku+:bk0th's mass and twice its radius. If a jar of peanut butter weighs 12 N on the uke05 :kztu+bc;q2d nsurface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, tpc5xf-5tc7en*2 xz tohe Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and tecfto xp-5n zt2*5xc7 he 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 tgfvb 0fa)4o+ k-lr7vjo 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 about the Earth (i.e., it just skims t4tvu qn)j,cwl x;/p7w6;mz gt i nef++he surface of the Earth). What is the speed of the satellite? (The mean radius of the Em t7w+ ujf,n;gt)xncqziw6v+;lp /e4 arth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Ejn acy8ydv( ;:3emuz 9m2q 3md1t 1relarth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radiuslm12ae8r 3y(tdjum1v c ;nm 9y:e3d zq of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of the Eartrx-szk 9x0r)r5 ;hrrzh. It is observed to have a periodrz5r9rh r0 x-xsz k;r) 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, hao +:5tt copq0bhqba3g(8:ls -osqb 9as 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 Jupiter3jcld : qf(e,k 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 circular orbits. Moon A has orbital radidvdum3xxl7rk p+2*vr ,wh6 d2us r, and moon B has orbh6*l3dxv+mr px, kwu2v7 drd2ital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is 1gzo,f+* y 6kh6pz0e)dy,mj jcbxp.x$7.78 \times 10^{11} \; m$ 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 (p6id,z fgza5o l2 d/eSun once. What is the average distance from Jupiter to the Sun? (The dista6za/zgd 5p le,odi2(fnce from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)