Is it possible for an object moving fin(j5lo beo1k-3n1- aq l .gnwith a constant speed to accelerate? Explainolijegb nloafn1(--1n 3k5.q .

  Consider a particle moving with constant speed suaeq:r 6-+dfof54 lx,ep 9)d7uecp tqych that its acceleration of constant magnitude is alway uyqoec )a:4x pf+er ,l79-pteqd65 fds perpendicular to its velocity.

  An object moves in a circular path at a csn,rlz y:ykie/6h3 kd a 56q.jonstant speed. Compare the direction of the object's velocia.yi5 n:z/hlj3qk66,y r ksdety and acceleration vectors.

  When an object experiences uniform circular motion, the direction of the nj82r-e kzq i0cc86 ghacceler q8r e06kgjc28ch-nziation is

  Consider a particle moving with cx,4ovwz.3ubvt1wacd0d3) k bonstant speed such that its acceleration of constant magnitude is always perpendia)0kd c, .1uv dbwzv 3xtw34obcular to its velocity.

  What type of acceleration does an objectrq ;i e9k 8lfp 1iuv066hsln;f moving with constant speed in a circular path enqsuf6 e;fl 1;ilh8v60ik 9rpxperience?

  What force is needed to make an object move in3n o47o/lg28mxpyv w+ 4oiq8xrg ywh) a circle?

  When an object experiences uniform circular motion, the direction of the net tl,j1p)zbc+i moks7:for+ jts ,)oz1li:kpb cm7ce is

  A roller coaster car is on a track that forms a circular loop in the )+ak qjw9 :ohn vyk2q3vertical 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 poiknhwo 32k a9v:+y)qqjnt?

  A roller coaster car (mass = M) is on a track that nk*i;8tw*6kuf9 aahunl3r,gk tv8 ; jforms a circular loop (radius = r) in the vertical plane. If the car is to just main, ;8lktif963ra gkuhn; a*k8j*vtnw utain contact with the track 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 until it i2+lfz 43 co.gcngv9n,p*unly s going straightn+l.y23pful 4nz*g v ,c9ocng 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 curve of rad8 g0ago1 i.vcdius $r$ 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 +u k5 -ziq 74t+1iqy/txpaeura constant speed v. Then it goes around the same curve at half of the original speed. What is t+q-+uu/p7i 4y xk1 r eziqtat5he centripetal 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 s/w:vcr ,n jjy.y0wj-ic 7*rd v. Then it goes around a curve of radius 2r at speed 2v. What *.cyd,/v-iwsn 0 rwjy :jcjr7 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 awa z1w0djmum08 84tw with speed v. If the road is frictionless due to ice, the car can sti0z1w w84m d ju8tma0awll 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 run are banked at the sami,31qov76( jbbhwuc re angle, but one has 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 speed on the larger radius cur jv6bo(,qh7u3 1rb iwcve?

  The banking angle in a turn on the Olympic bobsled 0 n 6o2qwj9ksu2cipc ;track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out of the turn. Why do p cn9su02wk j6;qoc2 ithey do this?

  Is it possible for an object moving around a circular path to have both centrsag pfb 7 r32)sz3:kemo2xk1bipetal and tangential accelersg 3 b2):am 23sf7prkxz o1kebation?

  The gravitational force between two ocnk- j6l1 b)l uoxt5-mbjects is proportional to

  The gravitational force between two objects is inv.7 i9cujip(air ss- k+ersely proportional to

  Two objects attract each other gravitationally. If the gpmn lf3.)nx1distance between their centers f1n3xp.g)nlm is cut in half, the gravitational force

  Two objects, with masd-yvdtb z1gw1+hn, j lw+1ip7ses $m_{1}$ 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 massfoy 6aot y7v2is/+f,a es $m_{1}$ 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 unic+ eb m)49k5wpxgn f0nversal gravitation.

  Compared to its mass on the Earth, the mass of an object on the k k5yc2h 4u .n:*ymytcMoon is

  The acceleration of gravity on the Moon is one-sixt ;9zi3cw5iuaxd )xy;zh what it is on Earth. An objz;id; y 93xwi5xua)zc ect of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's sxwhiqc(- +nd+0 j 04defanu +gm+6bdl urface, the rocket's weight

  A spaceship is traveling to th)r 2x*oyr: z/66zo/vs s 4dzkxc8whvoe Moon. At what point is it beyond the pull of Earth's gravityho x 8/cr6z6 :2*rz w)dsyvsozv/4ox k?

  Suppose a satellite were orbiting the Earth just above the surfacei3tpni: i.e1g. What is its centripetal accelera3gi1n ie: .ptition?

  A hypothetical planet has a mas6-;oyk y; , lcjtnwad) ix79iks of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity n,;o- k c dilyytj i7a;9xk6)wat the Earth?

  The acceleration of gravity on the Moon is o a sdydk1gl*3ko q-8b27p4xry ne-sixth what it is on Earth. The radius of the Moon is one-foa 4d2gl3y8r-py1 b *d kqxk7sourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has twice the ra(534kc/,k vma lcdhh idius of planet A. If planet A has mass m, whath(a,mc dik4l v/c5h3 k is the mass of planet B?

  Two planets have the same sv3;g7vdpbts9 x85v /g puco8vurface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the ragvvp 7;/povsbd5 3vcgux 9t88dius of planet B?

  Consider a small satnvc14zn, 6oac ellite moving in a circular orbit (radius r) about a spherical planet (mass M). Which ex 4n,czv 6ano1cpression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, an8p yk)lcp4nqrq/ d.:gd rotates in the same orbit. C/n8rcyp4q) . g:kq lpdompare the two satellite's speeds.

  A person is standing on a scale in a p x*6jyliqn/ vr,-p3dn elevator accelerating downward. Compare the reading on the scale to the person jprnd/,yx -*vp6qli3 's true weight.

  Who was the first person to realize that the planets move in ellipticam.mi )v a pac0c54ity;jz, x-,qh 6ltjl paths around th cjzhm;i.,,6 qypti0)av4mtx j5acl- e Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit d8ysh ;6l p2egaround the Su; p6 2ldyge8hsn,

  Let the average orbital radius of a planet be2 t-t0op;x4lashmb59v* mpxs R. Let the orbital period be T. ba054-s2t v9mh*xmoptsp lx ;What quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, with tsu:pz6xho/ 0d he same orbital :0sh zo/xpud6 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 the Earth's orbital period?

  The average distance from the Earth to the Sun is defined a8p + *4.sg:u4hflgqn cob vdg1s one "astronomical unit" (AU). An asteroid orbits the Sun in onnol4h+g pu1.*d4vq s:8fgcgbe-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.p +q*ed3c-dt q

  List the four fundamental forces in naturtxbgp5yz rf) j;( hjrdg ;2gl12 p65yye.

  An object moves with a constant speed of*78w*ceow zs )b9pzeu 30 m/s on a circular track of radius 150 m. *cb7 ewzoezpu)w* 89s What is the acceleration of the object?

  The maximum speed aroundzp rlij m./7)f a level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors z.j pl/f7im)rremain unchanged.)

  What is the centripetal acceleration of a point on t+gm*a 7 ijnij0he perimeter of a bicycle wheel of diamegi7j0m i*+ja nter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200a.a x/,b(p; fk5.k8 cmgoky kl m from the axis. What is the centripetal acceleratiocaog;.x p.mfk( k/aby, lk k85n?

  How many revolutions per minute must a circulah 0kxt8 r;x3wdr, rotating space station of radius 1000 m rotate to produce an artificial gravity h;drxx83k w t0of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radi 4jgbw*xjj)4d8u* iq0 v h4cdwus turn at 96.5 km/h. What is cidgh4j4)qu*wdvj04 w xj8b*the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m yyjnyar 5bmm7sz04b 3b/vrzz y)*e m;*ot1 3 kstring. The system is whirled in a horizontal circular path. If the maximum tension that the string 1mmy 47j z*sk)z/ry0a*o5m;vby r3b 3 yn zbetcan 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 a strong x1 lt:;hliml6ne vn/8;b9k rf 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 stone's weight./8h:1 ;;r9bflexi nllkn tm6v The stone's speed at this point is given by

  A stone, of mass m, is ab j9 btrz qys6.)hnu *s3h+(du 8fgm4tttached to a strong string and whirled in a vertical circle on ) jdf zrss4*bqt .96+(h3uguybhm t8f 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 given by

  A jet plane flying 600 m/s experiences an accelerations96qxl xd( zh: of 4g when pulling out of the dive. What is the radiu(sd :h69lxzqxs of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of t:be+j w25beums jl-pq ln2**fhe loop is beneath him) of radius 3200 mfbp*-jbj2 w qu 5eel:+2*lnsm. 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 pilot can stand co cnf-ni9+ +gis about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tocin9 o+-+g fnclerate at a speed of 250 m/s?

  A car traveling 20 m/s rou3moneo0*f wu/ nds an 80-m radius horizontal curve with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume0mo*o wf/3ue n 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 witu7qpat j n6pne,y( )*th a speed of 20 m/s. The centripetal force pq )e7ptua6jyntp (n,*rovided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of r;7h-v htuk- f ne-llf,adius 50 m at a speed of 14 m/s. What must be-feul v h7,f --tkn;lh the minimum coefficient of friction between the tires and the road for the car to make the turn?

  A car is moving with a ha6 s5;to 8zwkconstant speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radiu68 za stwhko;5s of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled tfrx+2pe(. pmp..z il uo negotiate a 100-m radius turn ati.uppl.rzep(+ m2 x f. 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at n/dy u5d kak g;ag619la $45^{\circ}$ 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 ds 8jgliob 1v * pnq;l*.19hrxv:2pvzof radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m ishki;(d)ro0r gb,e gm; 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 is revolving uniformly in a hsecn)m *zr6 3borizontal circle of c)3 mn*eb6zsr 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 car accelerates at a unjyao-* , w:texwlxq df 4r;g)+iform rate to a speed of 45 m/s in 15 s, moving on a o;y+w )4t:eqr -wj* laxxdf,gcircular 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 of5w 2s97oc-4dpksre hl+n.b fp6b7 miz a 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 onhq5( z( )znh/i4i3 e9 idiaqvu the Earth, due to the Moon? The mass of the 5(qa/iz 3 ui div)(izenh h4q9Moon 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 t iuwi0w t /4qm9uq) n4opa /*tlh5i5gmhe masses are moved to half of their initial distance, what is thou 9n/i54t q45m0 uwqh/m )*igpailwte gravitational attractive force?

  For a spacecraft going from the Earl5j(l w c*/:bova1wdwth toward the Sun, at what distance from the Earth will the gravitational force*b5l /a1wwwdoc:vl j(s 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 Moon u9ep w-:fha8d 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 "space-walk" at a distance above the Earth equal t7idn ob4t. r3l z/su-uo the radius of the Earth. What is her acceleration due to gravszn-7i l 3r/obu4tdu. ity?

  The radius of the Earth is R. At what distance above the ff ;iqg de)d bcv*r2ip 3;0d(wEarth's surface will the acce)q b0igfcw;der f2 *(dd v3i;pleration of gravity be $4.9 \; m/s^2$?

  A satellite encircle)r4drt3tki u6s Mars at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity rtdk43i6)u rt of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km frocv +,/zgvzihwk a8l 22m some planet's center, the acceleration of gravity ivi /h8, k2gvcz la2zw+s $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the sur 2 .9tsi5nctp/iooq 5*e0eka6b0p mjiface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what ispij0*0btmqetc sak/5.65 o op 9i 2ien its weight?

  By how many newtons does the weight of a 100-kg person change whe(sgin p za9h0;n he goes from sea level to an altitude of 5000 m? (The mean radius of ti(09;a ns hgzphe Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. Az7 ,2hlxz)uhb satellite of mass 100 kg is at a point 3r above the Earth's surface. What is the satel hh 7b),z2xzullite's weight?

  A spherically symmetric planet has four t 4tuum:)ek5hg imes the Earth's mass and twice its radius. mt:)ukeh 4g u5 If a jar 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 the same line, wit.6tqdjqh,zv(9-jj (e ss/ah va 1 zq.xh the Earth between the Moon and the Sunv(sqdqqx z/9e 1haht..s jv 6j,z (-aj. 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 transporte 3olzycc5k, :ld 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 just s89oz vi kzd-e/q* )n f-fl5c8aqw+lczkims the surface of the Earth). What is the speed of the satellite? (The mean radius of the Earth l+/w5 )* 98n8 vfaqozfzqcklze-cdi- is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Eab*4-l31; p nwvvl6b7q e 8nthf jbmd8drth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean h-4vet l 1vbl n87fm*;bdqd368bw njpradius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in ci- a0v dt94lmal:lh vt/rcular orbit 230 km above the surface of the Earth. It is observed to have a period of 89 min. What ilah4 9/-dtlvam :ltv0s the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital di0-dvfwsah y8q9r(zv 9 ameter 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 orbits the planet o qwd o.1j4r1cwith 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 cl2/j n3yq2q ppx +i)xkircular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to cojp2yln i+xqp3/q) k2x mplete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter i:n*zk yuz63 9vrbe9lhs $7.78 \times 10^{11} \; m$ 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 the aveqimnx,r:+g o0 rage distance from Jupiter to the Sun?iq,+rom0x : ng (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)