Is it possible for an object moving with a constant speed to acnbj-ay8w02 ik19qtp,, g wa advz s(9xcelerate? Explai nyzdv ,bwaj at098 9s2, kxpg-a1(iwqn.

  Consider a particle moving with consta5x*h)2jpp z . ut)ypvpnt speed such that its acceleration of constant magnitude) p*u5hjz ppt.)2p yxv is always perpendicular to its velocity.

  An object moves in a circular pat-+qby7 m8qva ah at a constant speed. Compare the direction of the object-y 7qaq8bav+ m's velocity and acceleration vectors.

  When an object experiences uniform cir+ykwwrbq /4)xj4vxa4+ keu2i cular motion, the direction of the accelerky aqk24xru+w wxi+ ej 4/)4bvation is

  Consider a particle moving with constant speed such that its accelerat 8(z+-0h mk+jbqmt:bj4qmcd( rj p0z bion of constant magnitude is always perpendicular to its velocit j+: dqzjq(hkcm-t0bjb+4p8 (0 rzbmmy.

  What type of acceleration does an object moving wiw8n2o5 x-lzrjth constant speed in a circular path explj5 -wxz2o rn8erience?

  What force is needed to make c;/qp6 dgivx :an object move in a circle?

  When an object experiences unifor9r(nw80v m cfkm circular motion, the direction of the net force iswv8c(m rk 09nf

  A roller coaster car is on a track toertw(g,7 * g ure7 4j3jjep,rhat 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 minimu euotw( 7g3p*jjer,,rg r 7je4m value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that h0:/)3k gsa fctn0qckforms 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 0 h)a3q/:g ntk0fcc ksis the minimum value for its speed at that point?

  A pilot executes a vertich5b2 d3m k2lu)9h(heu. su vgbal dive then follows a semi-circular arc until it is going straight up. sh uh gdm5 beh)2uubl. v3k(29Just 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 o)3 q mc ujwq1zd)7cx0xf 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 speed p6chmm5 97hls -y3kg8:u qr*filqo1 qv. Then it goes around the same curve at half of the original speed. What is the centripetal force on the car as it goes arm o q:ilhh8g-7lu635fkqq 1cm*p yrs9 ound the curve for the second time, compared to the first time?

  A car goes around a curve of radius r at a conskg(0zgqlmnvwb694 e ,dz2h9lt 16ti rtant speed v. Then it goes around a curve of radius 2r at speed 2v.0, vlz tr6(b wkmteh4zl2di9 961gnqg 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 banked curve of radius r withbt4 -bor*peo : speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the -*brb4 :oot ephorizontal 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 thx bpoq* a:wnejbg*6,;e same angle, but one has twice the radius of the other;e*, w: qjax6bgbpon* . 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 dy *cg p8qjp*(z84:*yws0 e.bp oexsy the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the yeb* 88ew: sd qpp.x4*y *(pjyg oc0szwall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a 28pc6f4 xqc mzcircular path to have both centripetal and tac2pcq6zx8m f4 ngential acceleration?

  The gravitational force between two objectf+ap/j:/s qskpf)r (au r j3/ps is proportional to

  The gravitational force between two objects is inversely proportiona+(8 ut f/93gw,ie9 qfkqhcadsl to

  Two objects attract each other gravitationally. If the distance betwe, x6v*n5fn k84 )klaxfwa;rsm en their centers)fxl8;axn kwrk 456ma*sfvn, is cut in half, the gravitational force

  Two objects, with masserl))i-y1wo qq x3j ,zd t8sdg(v(t-x os $m_{1}$ 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 p snpo(t p3;6i/i*jsf$m_{1}$ 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 h 9evdclp/6 dx sq88)yf+jaq 6gravitation.

  Compared to its mass on the Earth, the massqv1w+ y/*/ireo biz; i of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. p(eu+t;o3/dr zm,l1n 7nsahw An objec/ z7d+seau p ;wlo3 m,t(nnh1rt of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfac, u mtg egbqmc 2*10yft j7z.utxr6*y)e, the rocket's weight

  A spaceship is traveling to the Moon. At what point is sby3j mv37 .t29rwiu lit beyond the pull of Earth's gram.s trb y2w9lu3vi7 j3vity?

  Suppose a satellite were orbiting the ,er 5 ze,cjs5qEarth just above the surface. What is its cr5zc e qejs5,,entripetal acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius of twga 94-3mp6cibnb5 jdr r)b1ne ice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gre53 1n)rri bp-a4gmjbd 6c9nbavity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it bqxq4ncgkz/*39 4sg oganu9 0is on Earth. The radius of the Moon0ns ognc43gxz4bqgu9/*q k a9 is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gryj4w dym,th hqkt h +7g1o/y38avity, but planet B has twice the radius of planet A. I7qgy o th+13h mw4d k/ty8yhj,f planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twis-spmbq2+ a*ub3 -vuuce the mass of planet A. If planet A has radius r, w* 2v3+ pbu as-qubmu-shat is the radius of planet B?

  Consider a small satel rfv3;xucdb7xc;9;,9* m4 t nxicnt wblite moving in a circular orbit (radius r) about a spherical twn ;3m xn4xub;c9tixv ;crd*9c7, fb planet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twicec:6f xo/vi5b/f 4srk i the mass of satellite B, and rotates in the same orbit. Compare the two satellite's spee/xkibsfi4v:ocf /r5 6ds.

  A person is standing on a scale iq (+zc/ bjh7grn an elevator accelerating downward. Compare the reading on r(j+/bqgch7z the scale to the person's true weight.

  Who was the first person to realize that the planets mov6/fth *du; pt.(hrotqvbvu 91e in elliptical paths ar. ur b tt1d(v6u*ho/ph; f9vqtound the Sun?

  The speed of Halley's Comet, while54pz mk4.sw wu traveling in its elliptical orbit around the Su zww5 kpm4.u4sn,

  Let the average orbital radius3 79/r +*tp.a d6ssh atdha2 0ryhfwxt of a planet be R. Let the orbital period be T. What quantity is constant for all planets orbitingrt2dpa 6+ ashw*a9h/3 7dxr.0sfht ty the Sun?

  A planet is discovered to orbit around a star in the ga6o7 ogze4dex5 laxy 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, compared to the6g7e5 oezdox4 Earth's orbital period?

  The average distance from the Earth to the Sun is defieuu.5x6kxtm9 8-v f6xr y q(zu1j* nbpned as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the astjkt61yx-(5 uu*6ezbnx f. m uvxrq9p8eroid's average distance from the Sun?

State Kepler's laws.s -mi(u(e1voixl msda +o6;o 9

  List the four fundamental b 4 7najpol.exercv00t ):sid)c t; a.forces in nature.

  An object moves with a c) jezou td-ckj;h34v8f: iov 5onstant speed of 30 m/s on a circular track of radius 150 m. ;jchz i)-:38 eofod4kvt uj5vWhat is the acceleration of the object?

  The maximum speed around a lxi e 2a)m/n/fn ,muax(98 .vqupuo4ngevel curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors reqn fixuu2o) 8na9xapg(,/nmem 4u.v / main unchanged.)

  What is the centripetal am i:l380 a ctktn0:pr3 go,vvh0e3 vwwcceleration of a point on the perimeter of a bicycle wheel of diameter 70 cm when thet0kc ,8:viro 3vhw30ep w0gltna:mv 3 bike is moving 8.0 m/s?

  A point on a wheel rota2 -4hq c 6svpopauxg*3ting at 5.00 rev/s is located 0.200 m from the axis. What is the centripsq2ac3*uh-v og px64petal acceleration?

  How many revolutions per szgp5h jr m46 nfb7rj:j8v 0k0minute must a circular, rotating space station of radius 1000 m rotate to produce an artificial gravityn 8kmvr70 6pg5j rfb0j hzs4:j of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m r7 av:msedc j*zg*8d 6gadius turn at 96.5 km/h. What is the centripetal dv *z7m86 g *ces:jgadforce on the motorcycle?

  A 0.50-kg mass is attached to y62pbfoxc :,r the end of a 1.0-m string. The system is whirled in a horizontal circular path. If thrxpo cby6f :,2e 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, isohq5q;hz a0:b,zh p8- ri0ycb attached 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; aqyb8:c rbziq-oph, z0h5h0 stone's weight. The stone's speed at this point is given by

  A stone, of mass m, is attached to a strong string and whirled in a verty2h4jd qm8e deu ,t8+wical circle of radius r. At the exact bottom of the path td+uh8m,q djey8w4 e 2the 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 acceleration of 4g when pulling n 9ou*9tbogd)out of the dive. What is the radius of curvature of the loop in which the plane is )not9 d9 ogub*flying?

  A pilot makes an outside vertical loop -rw lbqfkr/f: (ih2z/(in which the center of the loop is beneath him) of radius 3200 m. At the top fibr:w-/2 kh f/r(zqlof 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 pilot5md md1 6l/ms(8dszo t can stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pss m/z(mdmt ol6dd8 15ulling 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 the tires,z dl .l atx1bu 1gatji47;lc1 on the vt at;.xl,ga 1z1d17cj4lb iulerge 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 geamgh j**1-j m with a speed of 20 m/s. The centrage*m jj g-*h1ipetal 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 7 m 7o9vxjys+g )vr-vqradius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and m+vgr)vsoxv 97q-7 yj the road for the car to make the turn?

  A car is moving with a pb.lblz*8kj9enn m 85constant speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if the9b*l pl n.8k bj8mezn5 car is to stay on the road?

  What minimum banking anglhy6 blvtpg 0ovo70+n/e is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignoreb0v 7g6+/y v hpltnoo0 friction.)

  A horizontal curve on a bobsled run is bann 2pdwkil7py67 7z8e6o ltt5rked 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 ofbatxo88ge)jzb f j- ue:q+t41 radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 te8: y(/cwmv-k 9ny sum 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 end of a strccwy 0dge zqx/d.7 fuw*91o1qhei , p8ing is revolving uniformly in a horizontal circle of radiusp 8ecz0*xg,1 hi. /o qwdyfud1q ec9w7 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, agt/rn*k ia2rtg3x q22h 5mpn . race car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius xrk q5ni2 3p 2nm.ghgt/r2a*t 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 proton of masswgi3; cf au2e2fkkp 61 f6tw/x $1.67 \times 10^{-27} \; kg$ 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 xdiirfm+ ee9.qwo4gj.jlfvd 1 1: e .1standing on the Earth, due to the Moon? The mass of the Moon is :ewj 1i o1xvr.+.gf ejm1i.edqlf49d $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masses is F. If t (jbe(c6s2 +ez afluk+he masses are moved to half of their initial distance, what is the(e( u2 f+6kcazbe+j sl gravitational attractive force?

  For a spacecraft going(du2vsc3 y(s98j et bv from the Earth toward the Sun, at what distance from the Earth will the gravitational forces due to the Sun and the Ear(2u389tc (bss evvdjy th 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 7;j zexl3hp vn*n+f9e$7.4 \times 10^{22} \; kg$ 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-walkd 1qa/zi .-v5jee lm6w" at a distance above the Earth equal to the radius of the Earth. What is her acceleration due to gravw.1aiv d/qe5z-m6elj ity?

  The radius of the Earth is R. A5q op3s+ 4gluh2riqclc6ax 5*t what distance above the Earth's surface will the 5 5gqpscl4iq2oa3+c* ruh6 lx acceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a di judv42i(iz .wstance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as coi.4vz wdj (2uimpared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleration of ;ivyd1n,z3r pk)q3 )mz:pzazgravity i p3 rnqy:za3m;zv1 p )zikd),zs $32 \; m/s^2$. 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 Earth hav4q qydw,k:.g j )3 qatky)4fes radius r. If the object is raised to a height of 3r above the Earth's surface, what is it:ew,d k)t qq4gy)qv a4kj. yf3s weight?

  By how many newtons does the weight of a 100-kg person change when5;m 3qrtficdhh w+ 6*q he goes from sea level to an altitude of 5000 m? (The mean radius of the Earth fhi*d5c 6mt+q3hq r;wis $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at a point 3r above t5 w +y,nevy0ku4 w9 iqdc+ld3fhe Earth's surface. What is the satellite's weigniwvqkdlyfu5y0e c,+3+49w dht?

  A spherically symmetric planet has four times the Earth'k 7*y8.krbr cxs mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surfa k xbr*.kr7c8yce of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lgyx2m 3dz h14tie on the same line, with the Earth between the Moon and the Sun. The Mo2yh4g 13zdmx ton 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;,3uwm9m)wn va syvnncvzf5/xpv5 xh) +1 a.s 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 circular orbit about the Earth (i.e., it 3 vv n02pul)hopgwt6 32f5 +lz5 dnkesjust skims the surface of the Earth). What is the speed klehvd3np wf v2no06p+2g5s z )3t5l uof the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Ea tou*csno 4,;wrth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around th t ,noscuw;4*oe Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 t67nf)a hsrj;otz:; gkm above the surface of the Earth. It is observed to ajt;);n 6 s:rthg7ozfhave 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 anzder::eo8jcn57 n *v2t b, ibk 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 oy1 pp, y.-cy/zwj- lzensu s5(f Jupiter 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 or fe e lp ( 5mmjjgjz1hbk0j7g:-8a/1eqbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takjbeflqkj11( -jpghm:8g/5 z7ee a0 j mes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is mi vjeq/w*- l6s 3cy jqll.m*/$7.78 \times 10^{11} \; m$ 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 o ez1rbi5s8 qn2rbit the Sun once. What is the average distance from Jupiter q5rn1 b8zi es2to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)