Is it possible for an object moving with a constant speed to a8+n f9hywees. ccelerate? Explain.es+new. 8 yf9h

  Consider a particle moving with constant speed such that its acceleration of co mc5 y;n9i cb4(7-zxzwpg z,fznstant magnitude is wb zn4 -5gzicp;yc,zm (7f9 zxalways perpendicular to its velocity.

  An object moves in a circular patp+;o0n*zun s: wcy8stc63 tjana *r6bh at a constant speed. Compare the direction of the object's velocity and accele60+w:n jpttn*;* 3zcy6on buc asr8saration vectors.

  When an object experiences unif-/kgkl 0)slhej pq/x2orm circular motion, the direction of the acceleratix h2)spjllgke /q-/ k0on is

  Consider a particle moving with constant speed su/+k(ulj e;mw gr;7 iqy4 hv-bfch that its acceleration of constant magnitude is always perpendicf7lumb; y+grq i/v(;kw4-hj eular to its velocity.

  What type of acceleration does .o87k,anr 6s r qikf1lan object moving with constant speed in a circular paf 8,kaqko7s rlr.n1 i6th experience?

  What force is needed to make arm3t l-.q .swe+u5wxh qu.c8 nn object move in a circle?

  When an object experiences uniform circular motion, the direction of the ne7 l93c y8cla(w a;srfot for8l c a3o9(ryfs; wal7cce is

  A roller coaster car is on a track that forms a cl e8eg.b1dn-jircular loop in the vertical plane. If the 8n g.deble-1j 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 point?

  A roller coaster car (mass = M) is on a track that formsyv omwwq/ v:*bu*-.oc 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 v -w:*mobqyvwo c/*.u for its speed at that point?

  A pilot executes a verticalbr(h / ai/2ymp3e.qf d dive then follows a semi-circular arc until it is going straight up. Just as the plane is at its lowest point, the /h2 .q3(mfiep r/ydb aforce 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+nn4n;wqi xfkkl (v4kw q:n;-f 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 radhg;rpyt nh .e(,4f3v/czhg c.ius r at a constant speed v. Then it goes around the same curve at half of the origina4yfht;. .gg rphz/3chcevn(, l speed. What is the 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 v. Then it goes arounu,ft 24, wluxiug7j l4u u)i6u*b67ra bp)ssqd a curve of radius 2r at speed 2v. What is the centripetal force on the car as it g)i2 4pqsb7sf t ru b*luujuwg6 l,)4ui7ux6a,oes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius r with speed v. 6swomu;f--r*1 ; g1gkommb amIf the road is frictio*g ; mbwfm6-rsmog1ko- ;m1aunless due to ice, the car 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 x0e3cvdo ia 2.run are banked at the same 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 larg0ve.3o 2cxidaer radius curve?

  The banking angle in a turn on the O3-,;s5xwc ec+h*u fy sg acd9dlympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lowh,5d ugcy+-f 9asc3sc wex*;der coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to have both -xk4;n qz6,sxs+rg:rjz9pqa centripetal and tanzqxq:rr9zjg;6k nsx s+,- pa4gential acceleration?

  The gravitational force between two objects is proportional tu2 lp,z:,p8qh n 1mu8wb vepw,o

  The gravitational force bzibydpy -+m)8etween two objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between theid5ae;i n b0a(pr centers is cut in hn a( ;id5ba0epalf, the gravitational force

  Two objects, with massa2 fln ilhczu00h d:33es $m_{1}$ 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 masse0.q/e.lx j xikt/q7k bs $m_{1}$ 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 gravitation.r.hlq - /je,bc, lg2za

  Compared to its mass on thecpk.lrie;j*(b +uto6 Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-: ttc7zhdrso n; f2)l-sixth what it is on Earth. An objelo-t ds;7n 2:ch tfr)zct of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surf;p3 mmx/nzqph*j6ft9ace, the rocket's weight

  A spaceship is traveling to the Moon. At what poinel2 c 5oeti3(dt is it beyond the pull of Earth's gravli3(o5dte 2ecity?

  Suppose a satellite were orbiting the Earth just above the surface. What is itswtp s0(1p)8vxv r ocf2 centripetal accesf tcw2pr )0o8pvxv(1 leration?

  A hypothetical planet has a mass oo 5*5rjhtoidqrhj 045 ugj-b1t./fah f half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet i5jhr a5rb-t ou5qdt0 h.fg1j4j o/h*in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moonds5wa 6w/s/tn,wq ay : is one-sixth what it is on Earth. The radius of tw/sa d5 : t6qyn,/wsawhe Moon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface grv*r yrln w6. b (u1fa12tkgho5h:h4iravity, but planet B has twice the radius of planet A. If planetlfny4g5htb(r: w uri hr h2.a6o1 vk*1 A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B h *ltqtlk ,(yy 7f:iim0as twice the mass of planet A. If planet A has radius r, what7ly*fm( t0:ilyqk ti, is the radius of planet B?

  Consider a small satells. 9xe y;kizm; r;:m+ojjbt 7bite moving in a circular orbit (radius r) about a spherical plamrk mjb:;zsiye; +.b;xo 7 tj9net (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orb sw*bi fvcg2 +6 1;wvng9x,f e+tgk(lqit. Compare f* +f xtv(g 92kg1nl+qbw6s i, gcev;wthe two satellite's speeds.

  A person is standing on a scale in an e;rl ybe9z xp1r0wzq/* levator accelerating downward. Compare the reading on the scale to the person's true weigh;z9pq/ * 0w1x rylzerbt.

  Who was the first person to realize that the planets mk m fls8j/xfynfh.*8 ,ove in elliptical paths around the Su, xffs8h8.mkf/lyjn *n?

  The speed of Halley's Comet, while traveling in its vf18p 3wciven5n k3 d3elliptical orbit around the Sun,f vk3nd8pcin3 ev5 1w3

  Let the average orbital radius of a planet be R. Let the orbital period bp jtup:v2 u580rmpbcoc22uk8e T. What quantity is constant for all planetspku:bujvr8 252u28mpt oc pc0 orbiting the Sun?

  A planet is discovered to orbit around a star in the gala*avxisxug3 ns 2ne( g25x6f5 wxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that starvuis 2(w5a*n235xgfx nx6egs 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 as on0 s0rmvh5 dq*me "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's avqd v0r*h5smm0 erage distance from the Sun?

State Kepler's laws.4u6gu wqs 40qa

  List the four fundamental fo3kvph .ig.zutvqpu, c3l w+ (3rces in nature.

  An object moves with a constant speed of 30 m/s on a circular track of rad ma9+bq:vlvhb3 ln,oaj.v0v;x87a h oius 150 m. :h08bqm 9v aal;3vbjoav+ lx.,7nhv o What is the acceleration of the object?

  The maximum speed around a level curve is jb/67ekajc; f 5b6 i:sgdxl+ m30.0 km/h. What is the maximum speed around a curve with twice the radius? (As;exsjl b6:+6ac fbgkd/ 5m7jisume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on thek,tk7 2a 0piov perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0 m0 kkv,o7t2 aip/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m f xn )ip8o,7ulhrom the axis. What is the cen,)n io7lhpxu8tripetal acceleration?

  How many revolutions per minute must a circular, rotating space station of raab upteb,0uff8 *r1i2 dius 1000 m rotateti,801af p ef 2u*ubrb to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turn at 96.a*hvrh c3;1.kp8fnsd5 km/h. What is the centripetal f;.*8 psf13rknhchavd orce on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-mkk+ -6:owv ck/jbn-pt string. The system is whirled in a horizontal circular path. If the maximum tension that the stri6k +k kjc-tob-:/nv pwng 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 a strong string and whgpey(85j1yv 0s5 (h-5jrv+npfd-e omw xz k2oirled in a vertical circle of radius r. At the exact top of the+gd -k z8 (0on-frjw1 x55pphso2evy j vye5(m 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 attached to a strong string and whirled in :uxo po(ub4t9/-a w5kxs cae5 a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times 5p x ba-ukto: w9cu45/(aesox the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiencd3t pn -gsvk3v:xin*l9ra/u od9pt :6es an acceleration of 4g when pulling out of the dive. What is the radius of cus3rn*dnad6 u:k /p9g3v-xl vit9o:pt rvature of the loop in which the plane is flying?

  A pilot makes an outside vertical lh+uk zw/ 6sfn m0khdf oxa*,f.9 6svv(oop (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 normal weight. How fast is he gof(xu0 os *swfvv,h 9zh fk6kn.dm+a /6ing?

  The maximum force a xr7 ux27dnncnu;jt- / lc,b3vpilot can stand is 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 tolerate at a speed of blunnt u7xx2c,n3 cv;j/rd-7 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with thkd 4c7fpl a5s3e tires on the verge of slipping. How fast fkap7cd4 ls53 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 withj- r*iv+gu un pf99y(2d*acqmn 8, bwp a speed of 20 m/s. The centripetal force provid9-pv dua9pr*bn nw f2u* + ygmcq(8ij,ed 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 50 m at a speed of 14 m/s. What mo2oy go*;qs ; ajckh/4ust be the minimum coefficient of friction between the tires and the road for the car to make the turjo;4*kso;q agcy o2 /hn?

  A car is moving with a constant speed+zyq o8, 8vd4n3xy/ycu 2ohok 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 curveczoy43ud2ox8h /nkyq 8+ yo, v if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to negotiate a )y1o7xpd7 6jufel31x(mkjmn 100-m radius turn at 35 m/s without skidding? (ej7pj1ouf6kmm)d3 n 1( xy7xlIgnore friction.)

  A horizontal curve on a bot6 b3 p e/ ops4mbfp7y3gjs-i0bsled run is 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 a8 c97k3g ai8m(moh/ns e fn+b :yqs4thn angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is b1t-l tcadzpnnm ss 5.18 su*n,anked 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 horizontal ciruk i*guxh:jeb q6fuu n4p4 0)0i8ipq,cle of radius i6fue0pi:h,x u*kuq 48n0pj4 )qbgi u 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 c:zwzgrj)*qbnz8c 7 c.: 2lwit4ts y:accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. ( :zyr2*g:i :bccw8ttc 4swjl7n.q )zzonly 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 o ,gm crq /f+4yu)+fmacf 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 gravitationaltb s7ka8bl3 /9-hv m90yplkyq force on a 70-kg person standing on the Earth, due to the Moon? The mass 9tq8bm0ka-y/ lpkv 79syhbl 3 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 forch0 16z2mh 0zegsusonzo,v( (ie between two masses is F. If the masses are moved to half of their initial distance, what is the gravitational attractive forhoue1z(zs06 oimzvsh 0(,n 2gce?

  For a spacecraft goingx 8p9ir-.k eqoa0a 4xl from the Earth toward the Sun, at what distance from the Earth will the gravitational r 9 aeqkxoi l8-4x0p.aforces 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 isz y6u cte0ri/mov2brt6z.(r 9 $7.4 \times 10^{22} \; kg$ 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 "spacexb(w(*c *:g*koeyti z-walk" at a distance above the Earth equal to the radius of the Earth. Wha z(x g* y(bcekto:w**it is her acceleration due to gravity?

  The radius of the Eak*tjjn+p d4hew9 jp52 rth is R. At what distance above the Earth's surface will the acceleration of gravity bnw+ejk4jpj9 2tp5h d*e $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface eqse4fwo,p5 u xqca+x 1.ual to 3 times the radius of Mars. The acceler+xcfue,.o4asq5 1w xp ation 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 acceleradlv*42icr s. ftion of gravity is *if4dl.c rvs 2$32 \; m/s^2$. 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 has radixrt;q6w r b5pqfs+ ux, 53idq;us r. If the object is raised to a +q,ruq3b5p xrs qxf5td;; 6wi height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-b6x9 o-lpu8jxkg person change when he goes from sea level to an altitude of 5000 m? -pjl 8buxo9 6x(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 a point 3r above th3 / dfgzd1)b47xurdwd v,0tone Earth's surface. What idrdtzgof) bvw7 ux,/4 n1d30ds the satellite's weight?

  A spherically symmetric planet has four times tch:f 0u; /f3wgxxqz6the Earth's mass and twice its radius. If a jar of peanut butter weighs xf6qx:3hc;/ wz 0gtuf12 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 +hop/ oovdh4ly,,(ye on the same line, with the Earth between the Moon and they +(ovhol,h ,doy/e4p 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 to h6 qbwu1yf3qg)9a;8o y geqs6.7p upj 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 aby lrsqh)+ey 1qwfr+/ad3 0o6v out the Earth (i.e., it just skims the surface of the Ew6 q/q f +ys)l31h+ydre voa0rarth). What is the speed of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about gb z x-1yl)oej5 ye8w0the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radius oe80 -lz1 xyjwo5gybe)f the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of the Ea2sco 7f* ax;tfw2 wzm.rth. It is observed to have * ca.mwfst; o7x22zfwa 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, hatgj0ck6d8u7l6p gsj: s an 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 of Jupiter orbits theek1k4iblf;)6 v b u0qo 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 radiuk 1/yvnl7acsq)*x x)xs r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does ia) xs 7 vnq1*xl/)cykxt take moon B to complete an orbit?

  The planet Jupiter is u*zk.8nzp:7r2m k1e:bc3 yfnr spvg9$7.78 \times 10^{11} \; m$ 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 tqx ghhdfy 2r6.y8b5 u21t :tmche average distance from Jupiter to th5 q f2c.:mbxy 6ut21h8 htrygde Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)