Is it possible for an object moving with a constant s +/wb6rv :t l,77g jmx:dj dmjeum97awu.2zrfpeed to accelerate? Explainzr+r69 veagtj2j d:/.7fjwu:x lm7dmbm7u w,.

  Consider a particle moving with constant speed(udf9xi x +zwdalzg09yk l. ,) such that its acceleration of constant magnitude is always perpendicul u (g9l.zzxkw da0fy9,dix +l)ar to its velocity.

  An object moves in a circt i 7 )l8dfetu,q9s+q loqx:4cular path at a constant speed. Compare the direction of the objlx qqc fte,:)lu9td o47q+ i8sect's velocity and acceleration vectors.

  When an object experiences uniform circularl/ni ydyx r9xcsd:l4 do k p*;t6:.dp, motion, the direction of the accelerati :t*i9o/ sldrx ,;k:pdx c d4yd.pln6yon is

  Consider a particle moving with constant speed such thad:giv ma,2:kc ids.f-cg59g ot its acceleration of constant magnitude is always perpendicular to 9ddv2-,om: figk:s5.gc ciagits velocity.

  What type of acceleraticc )du ity.) 53g0pcfwon does an object moving with constant speed in a circular path experiencey3cdgu fc0)c) t ipw.5?

  What force is needed to make an object movesfxt,* n hh 7zo5t-9) tnqge0r in a circle?

  When an object experiences unxi3xlz9zj8gat *l de :x21ln2iform circular motion, the direction of the net force lj3z8xitg2lx* 2: 9d eznl1xa is

  A roller coaster car is rre(, dw3x0pk4+:bpw3yvhu aon 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 centripetal acceleration4rwaky ,u rx0 (epwp3bvd:3 +h at this point?

  A roller coaster car (mass = M) is on a track that forms a circular lo,31( v z1aqkbuacvfk s+ dm,d5op (radius = r) in the vertical plane. If the car is to just maintain contact with the track at the top of the v f5ba(m 3aqz,s +dv1ckd ku,1loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc until it is go.7-(eaoy 1vwqzjkm, qj9 5mzoing straight up. Just as the plane is at its lowes,.v(k1ya 59zjqej ow -7q ommzt 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 ra06v l0ztbemwj94 0kkh p 2iymt4/ yz3kdius $r$ 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 jbpbd27af x7/ 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 th/27pfxb d7abje first time?

  A car goes around a curve /-svbvrct gnve ec(32/pp nc z*9.k+hof radius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the +(3 -etnecvvg /.*psc pnhkbv2z9c /rcar as it goes around the second curve, compared to the first?

  A car of mass m goes around vz(kwt; gv6h,w g y1z 1m2qwwl,s d3v;a banked curve of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve if tht,wh 12d 6ywv;(szwvg zkm, gl31wvq ;e 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 angle, butr e* :l*uayye9+bbeqszpn+ qxy 30y7( 54tpyv one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smallery y9zxelq t*e+bnb+e7yr3u p y(y sq50p4:v*a 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 nf jyrv)2+k 8lxc 99;ewkpvaa;ot constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," j)xeprav8 9wf+ky9;2alck; v then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a cy5 sz1- 90pujbnwyk-wircular path to have both centripetal and ta50su -kz-w py9bjn1yw ngential acceleration?

  The gravitational force between two objects in+6dblmog :h( s proportional to

  The gravitational force between two objects efor*c,i; 2hkupey*sz9mi .: is inversely proportional to

  Two objects attract each other gravitationally. If th33q gx8 ,:7jp2tgsl hqsc foa)e distance between their cento:js ggqxp83qlsa 2,ct hf)73 ers is cut in half, the gravitational force

  Two objects, with masses* sjcy ig3bxj9s57 tv+ $m_{1}$ 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 massenhy 2a pwy 0s41mh2j (l2t6ogos $m_{1}$ 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 gr yde4/4vf oia.r/hky /avitation.

  Compared to its mass on the Earth, the mass of an object on the M vs:2766sc-)o szxxexpzzey-oon is

  The acceleration of gravity on the Moon is one- ,qrnee*8g. n7ww cl1ysixth what it is on Earth. An objec.l7rqg8wne wy nec,1* t of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away fro* zaltuz;0r0zqi k25l 7pv (yym the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyonc4t:)wkr : mlcv9 *uvq o0qv cl5w5wm8d the pull of Earth's gravl:qvuq vt*c :w45mc)lom08 w59kcwv rity?

  Suppose a satellite were orbiting the Earth justt.snu 5zksv.6 above the surface. What is its centr .vtkz5ssu.6n ipetal acceleration?

  A hypothetical planet has a mapi5a0o lfh /79 /;k;fxqffeqforw 1g, ss of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due tf/g kxi,wf ;7hf ;oafflpro0/9q e 15qo gravity 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 E)ukset0qs+sh :p l*b4 arth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compared to tqs +ekbpst4shu0l)* :he Earth's?

  Two planets have the same suflqn q.,3ybs2 rface gravity, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of plan sy,q2 .lbqnf3et B?

  Two planets have the fi(mu,*d 8mc8q j/uwv -*eht jsame surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the cq*8evfu j(u*d/ 8w,hm -tmjiradius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sphee )vsfdb6.iw- :z. wwur tzt+)rical planet (mass M). Which expression gives this satellite's orbital velocityzb): s dw)t.vt wwri.-fzue6 +?

  Satellite A has twice the mass of saf-dw,b;v6vmh+vjpy r wlj// ,tellite B, and rotates in the same orbit. Com j/f/6wy+l;dbp rh ,wjvmv-v,pare the two satellite's speeds.

  A person is standing on a scale in an elevator acceleratingm/ fvl ved3.)u downward. Compare the reading on the scale to the person's true weigh/f3 dve. lmuv)t.

  Who was the first person to realize that the planets move in elliptical) b3macn0p;q(cx.fq gcsm;au)*5 s wf paths aro c)qnpwub)x mms ag3f5c0; ac;*.f sq(und the Sun?

  The speed of Halley's Comet, while traveling in i zcj sfj t)-a19pj rj16)eixs0ts elliptical orbit around the Su )p6t9ei1cj1 arjzsjj 0 -xs)fn,

  Let the average orbital radius of a planet be R. Let the orbital period 1 5vqrbbv 3m:zx;2xtl be T. What quantity is constant x 5b:2zbl1vqt m3vxr ;for all planets orbiting the Sun?

  A planet is discover*cqhg/p )v6tnh ik luaq: yvtr.1 /,5led to orbit around 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, what will the period of revolution of that new planet be, comparedc/qyt 6k)vhtr:*qg/n 1l vai.5 , luhp to the Earth's orbital period?

  The average distance from the Earth to tj/ ya ;mj 8t8b3qk7o a t/.u2ibcpdnt1he Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a1di. qt tac8 8t/bnokjj7ub3p/2;yam year. What is the asteroid's average distance from the Sun?

State Kepler's laws.t* 4wm x8* mgtv9u8lab

  List the four fundamental for vtped5u+n f6d /c3k/rces in nature.

  An object moves with a constant speesn)bnod* 9kv ;9cm) oud of 30 m/s on a circular track of radius 150 m. What is the accevm*)n; oo9c)ns9kdub leration of the object?

  The maximum speed around ax0 oag/-)yvcxw)g vx v5b,0w s level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remav0o,b0w)x/ xxv v-y) a sggw5cin unchanged.)

  What is the centripetal accelera+-vmwtri;5 uc9rhbcz4 d3a;2pm rx )ition of a point on the perimeter of a bicycle wheel of diameter 70 9mtaxh vi mb5 +r);z rw4-cu;rd3c 2picm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s i sviohrxey4/:s.c+foa: m4 x2s located 0.200 m from the axis. What i of s : y4ha2vcex/os.im+r:4xs the centripetal acceleration?

  How many revolutions per mip, eokpt4;w. jwk:7sz4- tp cvnute must a circular, rotating space station of radius 1000 m rotate to produce anw-kwvco;4t4j t:7.p zks e, pp artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 134s ntr6br*gqva x7s.. .7 m radius turn at 96.5 km/h. What is the centri7vrtx 4a.s*6 rb.sqg npetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of (y kl6-m(l0b ff u ig7hsmdr9,;4niwma 1.0-m string. The system is whirled in a horizontalw(49 fhg7s 0i(ulf- m;m k nbmd6,lyir circular path. If the maximum 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 attached to asks1w52m oxw6/r1 lyx strong string and whirled in a vertical circle of radiux1 5wo1mw6x r2y ss/kls 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, s ch+d;q h:o-ld-;bjvis attached 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 cs qh+-jdo:bdl-;h;v weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulli1q7ut6 7 ejd0wch6 lcbng out of the dive. What is the radius of curvature of the loop u deq6t7 ccwhl760b1 jin which the plane is flying?

  A pilot makes an outsi9menui--wms 2x 4fkbdv, 4ai7de vertical loop (in which the center of the loop is beneath him) of radius 3200 m. At the top of 4x,7-emdb 4wniv9am -skf ui2his 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 times his weight. What isy1py 4oowv( sm-1-o hr the minimum radius of curvature that a jet plane's pilot,smhyp1(o - ryvow 4-1o 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 curver,tfma u6mr7 1 with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficient of friction um1r r6fmat,7 between the car's tires and each road surface.)

  A car is negotiating a flat curve of5sb+tz,zu e:*yedvuwcx6js(7i)g x ( radius 50 m with a speed of 20 m/s. The centripetal) cgtze*sd +suxjz5uw(y7 i(6: e,bxv 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 50v:dd+c p ;d ub368dqbi 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 make th;d3 db:d8u v6 +dbiqcpe turn?

  A car is moving with a constant speed v around a level curve.i4zxzo,dp*q)h m/*a j The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if thdjq hz*o iz,/a4p*xm)e car is to stay on the road?

  What minimum banking angle is required for an Olympic w* x0ml:v p9c elh1qsb;8.oyd 0 kyqy.bobsled to negotiate a 100-m radius turn atwpk yql.yv0h :l98xeb1.*yqms0;dco 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is ca/n:oxm)(jev/sb 8o 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, bqbmz/6bb s ke// 8w-hianked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 mhz5a fw/o6; p.d2g( 2 l je3xm)wmifcm 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 en498 5a8xz ib1lxhlhn:e) nepwuu a63zd of a string is revolving uniformly in a horizontal circle of radius 0.5n6 hbxzu8 l a4h98 z1) :uxealin5wep300
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 in42l 1cp5rceghq ;rnh1pz4d 6r the pit area, a race car accelerates 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 rp ;h6rdh141p2lcgec4 rz5nq 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 kccmac;. )nr4d nya 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 the Efb2jrd8iql + /arth, due to the Moon? The mass of the Moon is b+r/dj2li8qf $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masses is F. dd2-4j t q;jey If the masses are moved to half of th yd2de;tj 4jq-eir initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward t*i et2f;/b mevhe Sun, at what distance from the Earth willemt*fveb /;2i 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 Moonp:t fdat9.jj0 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 dp7um + z2 d(p+i0iwvsldc)9cfor a "space-walk" at a distance above the Earth equal to the ra(+0v7c2) du+cwszp d9imli d pdius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what d9w9k *hef4kb gistance above the Earth's surface will the acce wb*99 fkh4ekgleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface9) fh 9anabd3ig8 ret( equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surf3ha98d e rnbaf(tig9 )ace of Mars, is

  At a distance of 14000 km from some planet's cenv 45 8y)2 wbv6gffgakjvr *v;qter, the acceleration of gravity4vq f52 kvvv yg*6w;r8ajgf )b 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 Eauys z.g0ts d. (e.8ce1 h.jtlnrj/-vlrth has radius r. If the object is zv. j(el.sy h.js.e rg-8/l td 0ncut1raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weigh+j1 wi ajn6pq6t of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The me j1i+p6jan qw6an radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 yj2nlyma f e)y(f3;:ol8 l :ud4 egpb2kg is at a point 3r above the Earth's surface. What is the d(l:o23;:yygfjue4efm2p ay)ll bn8 satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and twice5k eu.u 6an3mxtg;jz0 its radius. If a jn3t06.uka 5umjz g xe;ar of peanut 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 th;loi2lf-wkoxrf jd( 2jb n18 4 bf9wi1e same line, with the Earth between the Moon and the Sun. T9 (fx i4n1w21 woj2ijflk8;odfbr b-lhe 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 4c zkw6h+ 9tgvis transported 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:lxt9d2h ox /0vr/ufzi.ers3vzf(+x circular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The me re(f xxrt0vh/z3+/.v 9f2xdl osi :uzan radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Eart 8a)gkgxa0v5 dh (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean rgxgva8k d5)a 0adius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the sur-gaqxddp2 la3uw9 v9 0face of the Earth. It is observed to have a period of 89 min. What is the mass of th0l399d qu -adxav g2wpe Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diaplfv fr n:jtd(370*f vmeter 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 orbi d, llem.94pdi2isa;2eci (xsts 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 radius ruqu /-hmb t)dvt9yne3;*+iwx, and moon B has orbital radius 4r. Moon A takes 20 days to complewbiu-qtu*t 9d m h)n+ yxev3;/te one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is il(co/vv go94 2 xkz8f2w 2dij$7.78 \times 10^{11} \; m$ 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 1g 19hwmx x/+rb2 years to orbit the Sun once. What is the average distance from Ju+wg 9b/mrxx h1piter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)