Is it possible for an object moving with a constant speed to accelerate? Exawq awck0 1u(7g,ij c;la i /rsxm.t65plain.7( 1aci56;wlu/xjsa gat0k.r,c iq w m

  Consider a particle moving with constant speed such that its accelerax2bf7q0e 15by8x/fai ih zx 9ytion of constant magnitude xi f9qbhx yzi2ey 1a85 x/07bfis always perpendicular to its velocity.

  An object moves in a ci3 j zwyr9dmg3.rcular path at a constant speed. Compare the direction of the object's veloci9.mw g33jyzd rty and acceleration vectors.

  When an object experiences uniform circular motion45c:w ,jjdtt v, the direction of the acceleration i: w,4 jc5jvttds

  Consider a particle moving with constant speed such w:g j(aat;vjr 3 +c6scw.iol2that its acceleration of constant mavjcc6 2j. la:(wowa3+tri;sggnitude is always perpendicular to its velocity.

  What type of acceleration does an obe72dfwjj-05ve v xj jew/s(c;ject moving with constant speed in a circular pat/e j705eef ;jw(vcx jvws-jd2h experience?

  What force is needed to make az6td od7r)yr(n object move in a circle?

  When an object experiences uniform circular motion, the direction of th y44lnz(8ej :hp1vrc ie net force ij8 4r hc14eplyzi:n(vs

  A roller coaster car is on a track that forms a circular loop in 9b wa:re78n/ fbjeaub6* kiyn.v 2(pf the vertical plane. If the car *bbj/y7.a 8f2akin f:u(ewv 6p9r e nbis to just maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (masfa8fca mp.+:t st 7,n joh-btay.7fq5 s = M) is on a track 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 value for its speed at tha co5afn+j- 8ty 7tqf.fpa7m.h sab,:t t point?

  A pilot executes a vertical dive then follows a semi-circ(c.soihx ;su4ln b98lular arc until it is going straig9luxbhl4 so;.n( 8ischt up. 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 c 9e;n9wrsks nk l/x-:)wtx 0xyurve 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 a9:sxa2puw )ul2e.qfy yr0 p b07 j-sow constant speed v. Then it goes around the same curve at half of the original speed. What is the centripeto)j u2u2pe 0wyx-bafp qlsw. sr97y:0al force on the car as it goes around the curve for the second time, compared to the first time?

  A car goes around a curve of radius r at a constant speed v. ko1l)+ q,z8i ole/diiThen it goes around a curve of radius 2r at speed 2v. What is the centripetakol)1ioleid/i ,8q+ zl force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius r with spe 0 qe ri0frrikbk2m(+9ed v. If the road is frictionless due to ice, the c+r2er9brik0 (mi0qk f ar 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 jj be/y y(;)vgrun are banked at the same angle, but one has twice;/v jy(y )gejb 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 speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled +vtq+il q9zw9*xuh-atrack is not constant, but increases upward from the horizontal.i+hu- qtwqv*x9a+ z l9 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 cicc( tlec4+;8lo:kti z rcular path to have both centripetal and tangentiaezc;: c(ott 8i+kll4cl acceleration?

  The gravitational force between two objects is proportiopz q ;rsd890bp8w;cxcnal to

  The gravitational force between tw4/z :1ny+bg;nkkiiix o objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between thei*;qmdo3h d;p,lw s 5zzr centers is cut in half, th; 5dq pdz,*l;shwzo3m e gravitational force

  Two objects, with mal,j; gwum1lk0:uozv( sses $m_{1}$ 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 masseswh; xkiz49 xu1lm;xp. $m_{1}$ 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 ofk:0kokta3eb jcka u:pw0t: svr f3:,6 universal gravitation.

  Compared to its mass on the Earth, the mass of an object on the isfx+/,cs + nhvhol:4Moon is

  The acceleration of gravity on the Moon is one-sixth wui qh(ze3en0n nel8opvt 6b23 )ng9x( hat it is on Earth. An object of massntx8ie3npoe6)l enh 3( 2 v n9(bgq0zu
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 we)dtgudmk7+a3z:hd7 .m 71 gtzihdvd(ight

  A spaceship is traveling to the Moon. At what point is it beyond the pull o ps y8ts61;h dcc7/8epndxrukkn-3c;f Earth'spd c1t;-7dy 8enckn3x k; pss/6hu r8c gravity?

  Suppose a satellite were orbiting the Earth just above e7jj rpk 8+nrf .z;9 w2zogyp4the surface. What is itsw489.krojz;ppf e 7z+n 2gryj centripetal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius of1o hrhjbg91w:q 8n: ew twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity b81w hg qej:1o9rnhw:at the Earth?

  The acceleration of gravity on the Motl) s: geydh 76a)o6biq8px-uon is one-sixth what it is on Earth. The radius of the Moon is o68yoiuh7l :x6-) dset)g pa qbne-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface -rc o lv85qsd+3q0z8 kfdy;h tgravity, but planet B has twice the radius of planetcd o8q+-;d8lktrzfv0s3 qy5h A. If planet A has mass m, what is the mass of planet B?

  Two planets have thetz7dlphkr18m 6;n3 8 s3ymwj qp58wkr same surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is mk5w6 nhpw18 l 7k8j;pm3r3yzt rq8dsthe radius of planet B?

  Consider a small satellite moving inm+ kb 5u9elk sa+a:m(i a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satella(e 5m9ab kmkui+:l +site's orbital velocity?

  Satellite A has twice the mass of satellite Bqrvbz7g:c qs,j s9cb;-yqpvd ;-(0uj , and rotates in the same orbit. Compare the two satellite'sd j0y;,p ;-svq9u-:zj qq(cbr gsv cb7 speeds.

  A person is standing on a scale in an elevator accelerating downward. Com nx1 rdzq:0yx6pare the reading on the scale to the person's true :xrz61x0 d qynweight.

  Who was the first person to realize that the pla -whh)d*a:o2pcp,ovhnets move in elliptical paths around t-whvpah2 *cohd: )p,ohe Sun?

  The speed of Halley's Comet, while traveling in its ellipth tb36lb syj:th)-ep (ical orbit around the Sejsl6:-(3tt)b hyp hb un,

  Let the average orbital radius of a planet be R. Lkd ea+h 8b4 ff.ubjm,a67x)fh nh 1ib7et the orbital period be T. What quantity is ce x7 a1k,ibuf.fbh+ mnd48h6haf b)j7onstant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, with jgghzu 6r8v8twmwb -0- hz.5z 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 revz-wj.g 8 8z hurbz -mv6thw05golution of that new planet be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defineyv6k -jffas3w9: zo ;vd as one "astronomical unit"6 ff9j:yw s-;vovk3az (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.ti 87sqmxz :134hyx hg53kddr

  List the four fundamenta .r t/()sgpavul forces in nature.

  An object moves with a constant speed of 30 m/s on aa0vwmo l)np/; circular track of radius 150 m. What is the aclov apn;w /m)0celeration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is th2 x d7-d+z6vop omuho3d7o*ap1rxr/ we maximum speed around a curve with twice the radprd-7uo7dhorx w/1vapo 26 +x3o* dmzius? (Assume all other factors remain unchanged.)

  What is the centripetal accele 5*e q)(z(yf 4fsphs 5vbqh.pzration of a point on the perimeter of a bicycle wheel of 5*hzfqzp)ssb( e4(q.hp5yf v diameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s zdhlg,iobl7ijy : pqge yx:8 2.,4*anis located 0.200 m from the axis. What is the ce,n:2 gza.8ydboy 4h7igq,l :el*px ij ntripetal acceleration?

  How many revolutions z2w/ swq2 w3r (b0+ajmu2y tctt;vfj, per minute must a circular, rotating space station of radius 1000 m rotate to produce an artificial gt2j;w2f vrc0j,mq (w+yt3tbs2 uw a/zravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goesgo1 g01gu5 ;fsnroan4 around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on tgog0 o5rn fa; gs1u14nhe motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0 (-r zdntxgj1bg6o+fm 8.i :,jhh 3zui-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withst6f og3 ud znh:(jg+br-j,t1.mzhi xi8 and 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 a strong string and whirled inbeogp6 8p 1m cmxl41h5 a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times th81 bgm5op46x1 lmp ehce stone's weight. The stone's speed at this point is given by

  A stone, of mass m, is attached to a stgmn6-w xw; y4prong string and whirled in a vertical circle of radius r. At the exg-4n pxy6wm;wact 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 accel6g9k;a*vlmo 1 b8 hvjperation of 4g when pulling out of b1gkp mjhao;89l vv6*the dive. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outsidh/c4/kr. ztopby o, 1ve vertical loop (in which the center of the loop is beneath him) of radius 3200 m.z1 o/rk.bh/, 4vtc oyp 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 pi;ip(4t +29zt7cpxs.7qy,nda zgmh xilot can stand is about seven times his weight. What is the mc( zt+4i. x97,psgz2x any id7ht pmq;inimum radius 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 roundsz5gyb mk3 *pjez-6 j8i an 80-m radius horizontal curve with the tires on -ekjzp8*z 3yj g 5mi6bthe verge of slipping. 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 of radius 50 m with a spekjdo7*0m m9-qb nkya;tngo 69ed of 20 m/s. The centripetal force provided by friction iskm*9ng6y7tn-;b90mj oq kd ao $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radvs ohw)kfd9 n7nnl m 48eg6)5gius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction beedg n57k)hfl smonwg)8 n69v4tween the tires and the road for the car to make the turn?

  A car is moving withte, l2 6xjz-s9v ptqlu1eb 9b .vp7hq7 a constant speed v around a level curve. The coefficient of fricv p 77j ltx6s91z .qelpuv,eqbh-2t9b tion 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 for an Olympic bobsled to nego1 yv27toc+a+9x ipugm tiate a 100-m radius turn at 35 m/y7 ui9mp2x++govt 1acs without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run izby3 :-7phep pfh1ov7s 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, banked at an angle 6qf+,r**a/w 9qv i)w xudff1jhbwt 2aof $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m ipv 84jq0 :uo9so u)ovys 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 end of a string w,z 4m56k uag*:pjkzp is revolving uniformly in a horizontal circle of radius 0.5aup m*4z kzpwgj :k,5600
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 accelerates at a uniform ;3x4)sckz*v 1lgv;mq0p gruo 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 the blanks) gvxc )m *0;rv o;ug4lqzsp13k
(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 mawdua a5ppdb7; kh,wz+5sq(2tz /2mhkss $1.67 \times 10^{-27} \; kg$ 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, due b:oc-iigi:+n(lw5f u(fws n: to the Moon? The mass of the i (ibfc -iwu+ 5of:sl:nngw:(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 areb ,zam3o6i rp(qtyw h5z78kxv 6 7s1cu moved to half of their initial distance, what is the gravitational attractive fop(75o ka7im6 h1w3ztvq6 szurbx,8 y crce?

  For a spacecraft going from the Earth toward the Sun, at what distance from thek:r+ h6l(ay,xetv w f) Earth will the gravitational forces due tt: )fkawr6(yxh, lev+o 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 iy)3rsl95u foj mc)nc7 s $7.4 \times 10^{22} \; kg$ 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 awfhg*.v la3uu c4a9( e distance above the Earth equal to the radius of the Earth. e.l9af3u *avu (h4gcw What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance aeyqlwt0( vu*vq j +.f.oa b)qzq6u:1g bove the Earth's surface will the accelt.luqo:ze* qw( u 0vj.+ aqqbg6v)1fyeration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at9r: t hb9krbh*xtsd .- a distance above its surface equal to 3 times the radius of Mars. The ach-t x*db: 9k9.r hbtrsceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceybz2b0cny jf2i *p spl /qr362leration of gravity issf 32y2 q jp6/bl*2inypzcbr0 $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the r9rl.08 7 zg*qg)fmt zc djk ,b96qpqzsurface of the Earth. The Earth has radius r. If the object is raised to a height of 3r aq7 zf,p0cjz q99)dg.*g lmzt 8q6k brrbove the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person g.zj9fcs m ; aqrr;/u3j s;s)kchange when he goes from sea l39s;j qzg.)/ fksma jcsr;r;u evel to 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 ytx( /t.mo9g. 21 :d;jtphd6 kdjcs6qhf/dz a a point 3r above the Earth's surfachho/ddgj2m;ypf(.s xt .dj q 6/c:z96t t1akde. What is the satellite's weight?

  A spherically symmetric planl n(/ 2snft+4rxnswp 7et has four times the Earth's mass and twice its radius. If a jar of peanut 7 4wstpfl+rn2xsn(n / 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, ,(g c9lxhyye(jdg66hnye9l ,Earth, and Sun all lie on the same line, with thedy gyj h6yg9,ex(h,ll(e9c6n Earth 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 to2t)ks8 qb64 n /cvxgmn 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 Eo2it0xye ox vyb0+i,/arth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean,v+0oox0ti yiy /e2b x radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it just s5ni+bi65x1qg:hqlrr4j kv +g k9fc-ykims the sh9g5 :5vqfcyx k4ql-kj 6rig1nr+i +burface of the Earth). How long does 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 230 km above the surface of the gu.c cyi8h i:g 1+rrf-va;b b7Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean radius of th bfu.:gic1g8c abh;+7-r rvyi e Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter ofk-fpdrg*p 9a n3+3 dsa $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits the planet with a radiusgketxq ; z150 m7dhxx-(masy6 of $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a pla pf4m.o-yggd4/ m;fqanet in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. ;ydgaq4m .og-m4fpf/ How long does it take moon B to complete an orbit?

  The planet Jupiter is k 7m eheppbewq29 ;i( bo3ditc iby(y74:c(b($7.78 \times 10^{11} \; m$ 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 Jupc9 /qql96s (out irk gd:va)y(iter 12 years to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from the Earth to the Sud6iol y v(c/q gaqu99()r:tsk n is $1.5 \times 10^{11} \; m$.)