Is it possible for an object moving with a constanian xl3ur,vttu85er) eklk / /)x a3,et speed to accelerate? Explain. e,r,t / k vr/ue)3txli5aakue8nx3l)

  Consider a particle moving c4o2q xi 9x;k0n(*mf(qu* utjuo ytj/with constant speed such that its acceleration of constant magnitude otumf9 y0tjx*2c q/ u*ijqu;(o4x(kn is always perpendicular to its velocity.

  An object moves in a circular path ak2e+)3nx t zpq o- sip -li*yf+2v0bgtt a constant speed. Compare the direction of th3k2+ipn bil-2z+fo- qxtpvye 0gt*)se object's velocity and acceleration vectors.

  When an object experiences uniform circular motion, the direction of the accel a*p+ v).qendzl 57+ dih+b lrnry.bd1e1eb)*.v+l hl zi+ r+radp qdbnn7.5dyration is

  Consider a particle moving with /b91r5 +itr3ivg znzvconstant speed such that its acceleration of constant magnitude is always perpendiculagni5zt+19zb3r /vvi rr to its velocity.

  What type of acceleration does an object moving withb8ad:t03l ogx 5fd em( constant speed in a circular8dbm fa:0t( ogld3e 5x path experience?

  What force is needed to make an object move -5 lkxd 5ue99- 2yhvd6 zxsiked7qc.r in a circle?

  When an object experience3zw3vsy (bn9l- jxc f.s uniform circular motion, the direction of the net force . fwnz9y3bcx(3l-vj sis

  A roller coaster car is on a track that forms a circular loop in thw c vj1c5 a)dl:y)ix)be vertical plane. If the car is to just maintain contact with track :ca1 liw)vxd5y jb)c) at the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) isk/0tjs mpa 98 (r2ygbx 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 top0p g/bk 9yrm(2aj8st x 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 untwn9o rpy +k. 8xfduffa:on,;93r qz-vil it is going straight up. Just as the plane is at its lowest point, the force on hiwrrxq uf,d8oyp9. nf+k9:n;z-3f voam 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 oft 7 ts4:23r uvif *0w,5bxycr/ci otjb 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 sp80exr2p9:pkzvaom 4uzf) urx+d4 l84vix wd. eed v. Then it goes around the sam opfd mupx)z84. x:a l8re4zkvd4xurwv092i+ e 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, compared to the first time?

  A car goes around a curve of radius r at a constant speed v. t8xxvcx w399a 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 xx3w9x9tcv a8 first?

  A car of mass m goes around a banfu15w:k : hlxtked curve of radius 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 forwl1kh5tx: :ufce on the car from the road is equal in magnitude to

  Two horizontal curves on a bc4xw /h+ mduaww68is:obsled 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 laaswd mx6wicw/+u:h 84 rger radius curve?

  The banking angle in a turn on the Olegdzra:6m i3 /ympic 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 lower comirim3ezgd:a 6/ng out of the turn. Why do they do this?

  Is it possible for an object moving around a c4i bpuerpt *:7ircular path to have both centripetal and tangential accele i:u4btr7ppe* ration?

  The gravitational force ycpz s*br nt1*n.+7g*n wuqj:between two objects is proportional to

  The gravitational force betwzynhu.f, 2n ;teen two objects is inversely proportional to

  Two objects attract each other gravi i84haipshh72tationally. If the distance between their centers is cut2 i4i p7hah8sh in half, the gravitational force

  Two objects, with mass) ;xdc,q5sgoy:akks 72he8 vpes $m_{1}$ 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 mawi2n u/*0fglmsses $m_{1}$ 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 gravitar6p 1cp hz0zeur20s7st( rx3 bj.kafr+8v da (tion.

  Compared to its mass on the )6sopvpltr*))1v2uugqn3z8 v srm, c Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth.y+/)l*rs 3;0uciwx sdfbs ya : An ob 0ilb*r dw x) +fyss:ac;/3yusject of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface,je t,svqxgie30y5a re 959au8 the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the n/tv:/n(pe aw5tkvn)7sbq *dpull of Eartt)w* ktna7d/qp vbv s:ne/5 (nh's gravity?

  Suppose a satellite were orbiting the Earthi*e vq.sv jla-tt3 xu46or u*+ just above the surface. What is its centripetal -vsa*4r *x+ulo3teti q v6.ujacceleration?

  A hypothetical planet has a mass of half that of the Earth and a radiusk5x7y68ph 2gvn bt/d s of twice that k26 hy p bx8/vtgn57dsof the Earth. What is the acceleration due to 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 Eqjc+osxfwecn co8.*o+ 5d q48arth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's qdf4 nwo+8o x q+ccc 58e.*josmass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has twice the radius ofh: :be3 gordr+ 7cn*gp planet A. If planet A has mass m, what is the ma*7n cg:od+r rbe3ph g:ss of planet B?

  Two planets have the same surface gravity, but planet B has twice 3uon6x (p l58-thy k5m8clwef the mass of pln tm8-58 wl3fp ex6lh5ocky(uanet A. If planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sph)6pt(ff/j r l bt;1pa0 towkr0e8tyn1erical planet (mass M). Which expression gr)6 08; nj(1bepl0faowttr ky1/ptftives this satellite's orbital velocity?

  Satellite A has twice the p s+r p0,bwkgyro r5:-mass of satellite B, and rotates in the same orbit. Compare the two sa5+:0pr rbsr go-,ypwktellite's speeds.

  A person is standing on a scale iy m)8r5 k xg6bljsulx5sr 1e/+n an elevator accelerating downward. Compare the readinm1sxxkrlgue lr8)/5 +6 s5yj bg on the scale to the person's true weight.

  Who was the first person to realize that the planets move in elliptict :zh)ubi 1 by.w0+ rsxh07yrwal paths aro+) :iys7thzy 0 urbhww0rxb1.und the Sun?

  The speed of Halley's Comet, while trav2 4 a.kgl; ++imns 3sfenojqa7eling in its elliptical orbit around the S olf+smkan; e7 34+iqgsajn2.un,

  Let the average orbital radius of a planet be R. 8rd /,p) ce;ohq-s wxrLet the orbital period be T. What quantity is constant for all planets orbiting x) d,8;-qw osp /hecrrthe Sun?

  A planet is discovered to3cy.cvu8 a.ea orbit around a star in the galaxy Andromeda, with the same orbital diameter asuec ay8..3cva 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 Eupb(2gz8xq8 farth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from t(ugqxf pz28 b8he Sun?

State Kepler's laws.lbnb5w7e n*li6 o47 odko6cr9ip v48 e

  List the four fundamental forcv9gcn /qo6g,;6skb t ctl as;)es in nature.

  An object moves with a constant speed of 30 m/s on a circulo 9hz 3iwgb-y8nc5ya*3bz z-z ar track of radius 150 m. Whatnz-go z-bc95i*bw zhy3az8 3y is the acceleration of the object?

  The maximum speed around a level w3g5vd m+5uk6ieh 8qtcurve is 30.0 km/h. What is the maximum speed around a c 5+5g v ew6u3miqdth8kurve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on thgtx yj 6c09ptzul(77)f kxv2q20fmxce perimeter of a bicycle wheel of diameter 70 cm when the bike is moving xtkfz26 29cy x07gf(mjl vup)cq 7x t08.0 m/s?

  A point on a wheel rotating at 5.00 rev/s -l;boy f r;y x;/amp+qis located 0.200 m from the axis. What is the cento;x;/y pqyf +lrma-;b ripetal acceleration?

  How many revolutions per minute must a cir e s+dc jp14e,oybf66ccular, rotating space station of radius 1000 m rotate t1bo jpe4,d 6 f+e6cysco 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 96.5 .ach:vv xi: o3rc;,ky km/h. What is the centc;v.3:ix , :kroa hvcyripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m stri v 5ytd.ilstgjnz7f60 aw-1 3tng. The system is whirled in a horizontal circulard.t yz1i3 jgf n56-tt7vlw a0s path. If 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 attached to a strong string and whirled in a vertical8sy:w- +qt/ t+i xng*-j wgkam circle of radius 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: m nqi+t/yak-+8wgsjg*t x- w

  A stone, of mass m, is attached to ay7/gtr h5,a re 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 a/re,ht 5yg r7stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g whe.x:j sm bo( r 63w 2wlwrl3hghjqgo)22n pulling out of the dive. What is the radius of curvature of the loop inr32:holwj (wrqox.62lgjb g)2 w h3sm which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the l.ewmskzow 9 r m3w 0wn++4s+fdoop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat withs w0wmw zd4+km +.9nrew 3fos+ only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seiit kk5/rzq5vizz :2.ddi -:k vs-4f xven times his weight. What is the minimum radius of curvature that a jet plane's pivkfsq/::z 5. dv 5x2zd kziiti4r -i-klot, 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 the cb;4mkc6ey*f: cwbags i74 j6 tires on the verge of slipping. How fast can this car round a second curve of radius 320 mak we44 bf67gj;*imccs6bcy:? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of ra48qr gdf a(lpp+q*c / hbr1.imdius 50 m with a speed of 20 m/s. The centripetal force provided by fgp+r(pb8ilfarcdq m /h*1q.4riction 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. Whar0 ysv)2.o*h bz cc2zit must be the minimum coefficient of friction between the tires and the road for the car to makeh y*v)c oizs. 0bcz2r2 the turn?

  A car is moving with a constah-m6g )essty g d r7,vgzmxa -5m1*m7pnt 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 theggt7am , 6eg m7rm sdzp*x-y5 1m-)hsv curve if the car is to stay on the road?

  What minimum banking angle is required for an Ol0 k* ue/bi-gqlympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidd0bikg/e ql *u-ing? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at autol 7r n9ci(5 $45^{\circ}$ 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 angq 0 ro0 9 e.(x* zbt5ppcwr ..66lwi8cjzahvjjle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is5 3acohf/z 0vuje5 -au 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 k:-lwq0w o9dh a string is revolving uniformly in a horizontal circle of radius 0.50who:q0wlk d 9-0
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 i5mgj hqrz1u(j/ /1nsy yz;39ce- kplat a uniform rate to a speed of 45 m/s in 15 s, mo s l1n9m(jzphkeugy j/;q3z/15c-iyr ving on a circular 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 consistsharn-z ,, mco(2(euo h of 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 on the Earth, due t k9gx3hcs 6qetw3,cc g cuq.-)o the Mo) w -qc9,tgk6cq3 g3.euhcxcson? The 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 tgd * mb.r 5vutfbj9p0e8o; 3jxhe masses are moved to half of their inoum8r g*f9b5 3;jet.x jpbd0 vitial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earthp 60x j,1;tjp tv;ldkaup) fo2 toward the Sun, at what distance from the Earth will tu;p v2j,j oa1d)lkx pf6;p t0the gravitational forces 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 Moon0p/ep-7t6r uuo tj: sv)v9havg 84 ucf 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 thqv l0w1c66 ( xp41czpu;9drpotx oi4ue Earth equal to the radius of the Earth. What is h xl r1 9upq64u6c01cv4;toppo dwzix(er acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's sur,ku7(gpswg xs pz*zh*.xx *8z face will the acceleration ofsxp*wkhp 87.*g gs*uzx, (zzx gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal l mxq7(a5p2v-hv8u erto 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the xvq-rp 7hv2le85(mau acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some plan9supszp6k) +ket's center, the acceleration of gravity isk+s)us6kz 9pp $32 \; m/s^2$. 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 Earthklx5pxsf p;)az 12r5y:sv e)g . The Earth has radius r. If the object is raisedspx):z51vg) s 5kyxpalfr ; e2 to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the o fd6px/23fm l5axu9a weight of a 100-kg person change when he goes from sea level to an altitude of 5000 f9a5l m x xfdo63/p2uam? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A s4,v a(aia(eh satellite of mass 100 kg is at a point 3r above the Earth's surface. Whahe as( av,4ia(t is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mao5 fbcr5m0 hcq ;a*tzr4j /m;pss and twice its radius. If a jar of peanut butter weighs 12 N on tt rampczhrm5q/f40c; 5; ob*jhe surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun a9i89yf ); hynsuu- gq -pwec7jll lie on the same line, with th-f9w9ps igechu7y-; ny u8)jqe 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 0 dha.rcnq8g : grk:u/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 just ski e47qeqlr1je8ms the surface of the Earth). What is the speed of the satel1q 8el4rejq7elite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circu g wh-n4;bys1skjd .i9lar orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it tadk4bsh sj.w -gy9;i 1nke 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 23cb( (,p,ewf0evmj(hk i2bq ;q0 km above the surface of the Earth. It is observed to have a period of 89 min. What2;k(we0j hec(qb fimbqp,(v, is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter,k3l0v wkx-5mk2 /rvdz has 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 the planet with a radius h5ym /0n adt3uof $422 \times 10^{3} \; km$ 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 orjbf kh:/z: ;bibital radius r, and moon B has orbital radius 4r. Moon A takes 20 days toh ki:/:bb zj;f complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter i8-s,q)feks.jye vbz ; s $7.78 \times 10^{11} \; m$ 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 orsfm0t27 ftjyj9+kg3bz a0 x;nbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from thejmt tg0z;0s3fn7+xbk aj2fy9 Earth to the Sun is $1.5 \times 10^{11} \; m$.)