Is it possible for an object moving with a constam. ;fprw u5fsgy1wcu5g4+w:vpf :qv 1nt speed to accelerate? Explainvwv1mc:uf:4.gww15g p+q rs ufpyf;5.

  Consider a particle moving with gn 5mf4ow b,h*constant speed such that its acceleration of constanhg,n 4mw*f bo5t magnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. C*vtw+whdq-g a) gsg* i:g0l.mompare the direction ogsw v*.* l)t-ga qgm+w:hi0 gdf the object's velocity and acceleration vectors.

  When an object experiences uniform circular motion, the direction of the accep ly+ uf ( u apkd18xjb8f*moh8hv*t5-leratix p fdo+k8lb8uhup j(1f - *tmy8*a5vhon is

  Consider a particle mov9w. dlp52 sxmmkkgy62 ing with constant speed such that its acceleration of constant mag 6mk.wy2 kd 2lg95mspxnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving withbpr6pi0nh 7 t0 constant speed in a circularppnhb70t60 ir path experience?

  What force is needed to make an 1m g 41ezfdvxws:sn )q .7lfb5object move in a circle?

  When an object experiences uniform circular motiog,q) uq: rr4vdua fb(rqm2 b--n, the direction of the net ford:q u(,f- v u2b)4 b-qaqrmrrgce is

  A roller coaster car is on a track that forms a circular loop in the veryhfxsngy z2ubt2(a : h:j8::y tical plane. If the car is to just maintain co(j:: 2gyh at u2ybhsnz8 xy::fntact with 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 6td bgz(t5 j8.to taxh(xec88d 7rah(a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the tracdtxzt t(o d8rt 6b.j8chh7(8g xa(5aek at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc unt12dg u1gp:3rmms6omzr3 xu7c il it is going straight u126m13ur: zmmu7rc3 gsgpx odp. Just 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 curve of ypn, rw* yp3n,lm4bpma0j. .m 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 revww,)sy j7q/adius r at a constant speed 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,eyvsq7 jw) /w, compared to the first time?

  A car goes around a curve of ,)glcu u0kcb44-ioldradius 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 car as it goes around the second curve, compared to the,4kiu c d0gl4)-lcu bo first?

  A car of mass m goes around a banked curve of radkn dlmuxr5*,r8f3 5q sius 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 road dm8nur,r3 k*5lqsfx 5is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same angle, but one haswy5ggel5:5ty jh p /+r twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radius curve is v. What is the safe spel /g5h+p5y rjg wy:te5ed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track iskw (n.*k/xug b not constant, but increases upward from the kku n.x/(*bwghorizontal. 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 cib;g uww w6t7o3rcular path to have both centripetal and tangential acceleration?gtbwowwu367 ;

  The gravitational force between two objects is proportionbx;qh 6uicc6 ia;v /y)al to

  The gravitational force between two objects ixovp- 7od0)(vg:a y.zpym: dls inversely proportional to

  Two objects attract each other gravitatilpa0-db4d/k3 mwhjj2onally. If the distance between their centers is cut in half, thejb ljw3h ad mk/-dp240 gravitational force

  Two objects, with masses8p /tes p) nio h27j,pg.bgmw63cr,gh $m_{1}$ 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 masse* h zwol-hbb kcs*09p,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 unb wcv (ctf*biv*(oe 62iversal gravitation.

  Compared to its mass on the Earth, the ma hy-nz/t8uze*a :xo. nss of an object on the Moon is

  The acceleration of gravi-.kzvzrt b lt(eg;. t;k6 zy;xty on the Moon is one-sixth what it is on Earth. An obje ;tkxeb6zl t-.zvk y.(zg;t r;ct of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, thepbqvp7v ok +;pi c,w,) rocket's weight

  A spaceship is traveling to the Moon. At what poi/5c 9l hrbw8jynt is it beyond the pull of Earth's gcjh8l /rwyb59ravity?

  Suppose a satellite were orbiting the Earth just above the surface. What is p9swi xi fbkcn/8(i0 3its centripetal accelera kswcx3( if/bi9 0n8pition?

  A hypothetical planet hfbv/qx6 r62e(s v z6xgas a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due toxv rvsfg6ez662(bx/q 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 Earth. Th6i5lu8rb wqlovord97m62 6 jje radius of the Moon is6lq6wu r8obo 7dj96i rv 52lmj one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet; q9r2jbcw8ght;s: ku B has twice the radius of planet A. If planet A s;hjt: ;ruq28bc w 9gkhas mass m, what is the mass of planet B?

  Two planets have the same0q lp2xw y..mp 9cjq/s9k vom4 surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, kq2mxp 9wpq/.oycvs40 j 9 ml.what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sp6)qjx98jao z nherical planet (mass M). Which expression gives thin 6o)a qj98zxjs satellite's orbital velocity?

  Satellite A has twice th8ko ha; k-1 bo;s-mkxle mass of satellite B, and rotates in the same orbit. Compare the two xo;lah-k msk;bk8-1 o satellite's speeds.

  A person is standing on a scale in an elevator ac wc id.pso3t-: v)x.rvcelerating downward. Compare the reading on the scale to tdwt)cor-3.v xi:v .s phe person's true weight.

  Who was the first person to realize that the planet(ibp i zi.-2ccfkh x*0s move in elliptical paths arz0*ixci bf2ph .(-kc iound the Sun?

  The speed of Halley's Comet, while travelin mz7wolew/s hle -c8km.u4f t.060gj tg in its elliptical orbit around the Suno h0e.mgut8lzs/.fckw7wt6 l me 04j -,

  Let the average orbital radius of a planet be R. Let the orbitc7+kvxkl-y3nac,sv*a) g. xbt8w l,g al period be T. What quantity is constant for all plak +.n,axgvx)a*cl7 gyktcb- 8w vls3,nets orbiting the Sun?

  A planet is discovered to orbit around a star in g pghm- ,nw9rp/kn52zr n:(yxthe galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star hap,mx9z/phr(-ny rnwn k 5gg:2s 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 distance4k s/;c xl 4qrrnq/8n :tngr/d from the Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits trn /xnqr/r/gkl4 4sd;n:8cqthe Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.9dl;kvh j/ dw1 wcu.:e3dgj d*h0 fs7i

  List the four fundamkkl: o.xu )9nt5h8x. mt3mt laental forces in nature.

  An object moves with a constant speed of 30 m/s on a circular track of radius 1gwh mf uz+4lcp23pi,3g ;yf r150 m. What is the acceleration of the obje,fh1wu+;cgi myp3g l4r3 zp f2ct?

  The maximum speed around a lett : 0u78ogpnxs2fq+lqa a4, nvel curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remain unntosqf7 t+ q,apang8u02x4 : lchanged.)

  What is the centripetal acceleration of a point on the perims0y5aqk d5+awk 5fqr( eter of a bicycle wheel of diameter 70 cm when tr5 k d ksq05yq(afwa5+he bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m frg7 2g g6uhh,vm:ew1l.af t f2fom the axis. What is the ceuh. 2gf:tv2hf 1agmgfwl7 ,6 entripetal acceleration?

  How many revolutions per minute must a circular, rotatinv ;vc qis5+xj4g space station of radius 1000 m rotate to produce an artificiviq 5c4sj x;v+al gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 7iy )/t,p,( f*ci1jixansg a*a(fh hym radius turn at 96.5 km/h. What is the , (x*t,j*n( aihii7fgc1as)f yhyp a /centripetal force on the motorcycle?

  A 0.50-kg mass is attached to tff9eh9cwb,;khg o1 o9 he end of a 1.0-m string. The system is whirled in a horizontal circular path. , c1h9b w9fh;ofgk e9oIf 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 attacherwxq p20eqe q)4l,i 5xd to a strong string and whirled in a vertical circle of ra0qeqrq 5)p,4x il2ewx dius 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 f:ze(o5g xy6 wattached 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. The stone's speed at this point is gi wgy(5e6oxf:zven by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pullingl322nmt bsxphbq- nn,)6 sjw* out of the dive. What is the radius of t3*b2 hj6n n),s-ml sxwbpq2ncurvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop ksi*9d8bc6d/ e puc+e(in which the center 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 pb+98 ed c kuid6ec*/snormal weight. How fast is he going?

  The maximum force a pilot can stand is about seven ty3ly7 /t6;7 o6 a icyuzknh-esimes his weight. What is the minimum radiuste n /alc37su6 7zh;yy 6k-oiy of 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 horizontal curve with t kcc k.0a+9sdcq-rjo 7he 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 betweend ck7r cckj aqo.9+0-s the car's tires and each road surface.)

  A car is negotiating a flat m -w .s+wm*5u-b5o x* sfsmjbucurve of radius 50 m with a speed of 20 m/s. The centripetal force provided by friction i* jsbo uf -bw5+m- mmuw.s*sx5s $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 50 m at a speed of 14 m/s. What mur a3q(bf ;hf86eup6ecpn9w5sst be the minimum coefficient of friction between the t f6wra5 e6fs npbquch; 8e(9p3ires and the road for the car to make the turn?

  A car is moving with a constant si.8atx- i wfqapt0a 8 );7aq9jfezjo3peed v around a level curve. The coefficient of f-9 0qx38a )aaie;jwi aqtff7o.j8tp zriction 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 f4gfloy. )r p-por an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without.-pf4ro y )gpl skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is be3p6;,ne g hpr:ifgk-vxp53nanked 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 nv hp0l*s s;db2lz7dwl. +lc0q r/b 5hat an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked a j )ovy,z)soxanby rufkl8ls0(/; ;(jt $45^{\circ}$. 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 hori. cukq +isy*0)4lgcyfzontal circle of radius 0.5000u+.k)ycq*fglsc 4 iy
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 4mz0pcs-inh 4hn 5)b aarea, 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 in numer 4a5p40)s-n ihzbnchmical 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 proton of mfty9t(y+p(pl ass $1.67 \times 10^{-27} \; kg$ 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 -h* .l swbp/.ea/fomka 70-kg person standing on the Earth, due to the Moon? Th.p/* a b m/w-kheosl.fe 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 are ajf pn-g 6wve1;a7,y.w,dmu d movev7-j, aamw;dy df6wpen u g.1,d to half of their initial distance, what is the gravitational attractive force?

  For a spacecraft gointxhc pde6ad q96ov/ui.hk97t7p;e a5 g from the Earth toward the Sun, at what distance from the Earth will the gravitational forces due to the Sun and the d eoqux 696./dtkvth p7eaa7ihc9p; 5Earth 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 jncs; )q gielc*;,xr6is $7.4 \times 10^{22} \; kg$ 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 ebsz +s8hgo(j9 3 twnc1qual to the radius of the Earth. What is her acceleration due to graj1snht(+o9b38w czsg vity?

  The radius of the Earth is R. At what distay8f z(0kf,7nvc;hmdt p f0(ah nce above the Earth's surface will the acceleratz0kf a( y vnh( ,pctfh0;78fdmion of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its su6mx3cg.pufoohqvq0:+ ::;ikw sjqf. fs 2, wcrface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as 0 h f.moqw :c6ukp ivs;:j3.f,:+q 2scfwogqxcompared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the accelera.usoca/:,uzw uf(, u; dcoa,vtion of gravityvaf,dua.u(o z,u/uswco ;,:c 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 y,4u-,3wngdmyg;yb ee7a,h zthe surface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the,yee,, y ga4unbmdw;y7gz3 -h Earth's surface, what is its weight?

  By how many newtons doegxya:hy9y:kg)5 hb 1 c p;uz)js the weight of a 100-kg person change when he goes from sea level to an altitude of 5000y1ghjy 9c;z bpug ::)x)hyak 5 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of m4wqx3z )qs5 ztass 100 kg is at a point 3r above the Earth's surface. What is the satell3zwq )4szqtx5ite's weight?

  A spherically symmetric planet has four times the Earth's mass and twice its rdlcz 618s(dt us)vku +adius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on t+k vc)u 1 z8sd(tu6sldhe surface of this planet?

  During a lunar eclipse, the Moon, Earth, and u3*oc xy ixgkoa9zc4(0er-/cda m4( h Sun all lie on the same line, with the Eartce*-x4uiy/4dacm3 (ohar09x (zo gkch 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 transportekz8gee8jho2(yd /8rk d 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 cs t6h0)rpwe ec* qw)m3ircular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean radius of thewc rm0h sp)qe)w63et* Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit aboutus9l ii26lp 1v the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The9l1v6 sli2piu mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above th,f4vk-yaodwfwe,ix -qm*9+p e surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The 9+,ef-fwq4a dpikvw-* x,mo ymean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter ogv ; ldk6v:b8pf $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter hz +o:0pj+5 3cisub ;tjy3k ckorbits 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 n xth.p2;giy;zearly 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 to complete an opzhti;y.2 ; gxrbit?

  The planet Jupiter isli/e8h * /9ubaahkgk- $7.78 \times 10^{11} \; m$ 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 svpd3 / t1ox7yw l,zbc1ap ,ih8q/ye rc14u0y the average distance from Jupiter to the Sun? (The distance from the Earth to the Su po1,lbtu xcqcdryw0/ 1zsyp,a13vih/ e87y 4n is $1.5 \times 10^{11} \; m$.)