Is it possible for an object moving with a constant speed to accelerateeq (:axj-:ks y46x eva? Explain.x:(xsq :jekv -a e6ya4

  Consider a particle moving with conse )3ctr b5myih8o 0lq(tant speed such that its acceleration of constant magnitude is a8y3 mhe 5(orqbc)0litlways perpendicular to its velocity.

  An object moves in a circular path at a constant speeduktnnoee/ -01xv;1 wa. Compare the direction of the object's v a1ne;0 uvx-ek/nwot1 elocity and acceleration vectors.

  When an object experiences uniform circular 7xe 8420 2bvdhkh ndzz(1tjzr motion, the direction of the acceleration ibvn h01 4zz8djr (xt2zekh7d2 s

  Consider a particle moving with constant speed such that its acceleration ofy .8 8adqwarw,8g r0rf constant magnitude is always perpendicular to its veloci .d8 rya0arwrq8g8, wfty.

  What type of acceleration does an osb20v h:bp/db1r n1k uqf9djr.n: i i)bject moving with constant speed in a circular path :u:nn1 d0 s2rh/ vipj1k9bdb q)f bi.rexperience?

  What force is needed to make an oz:vowk+/y q*pthewf* tt 5p66 bject move in a circle?

  When an object experiences uniform circular motion, the /vsp g3 :edfr)direction of the net force is)/ 3ef gpdsr:v

  A roller coaster car is on a trac1npqw;h s5ah .7h w98 jscm.fck that 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 minimum value for its centripetal acceleration at thimacns9 q;5.hs1h8w h.jfcpw7 s point?

  A roller coaster car (mass = M) is on a tmwt o3cf1vz5f-i (:: qc6wi jxrack 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 minfic-qwm:i6o3cf( x1 5 :zjvwt imum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arblrj mx) t6t2:/r -+rn c6eybjc until it is going straight up. Just as the planr+c/re2bj)jtn y6 -mbl6tx:re 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 curvkdndijstm*) o(5c.gu2pp-gc y+id *- e 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 ozcvlah / tawb/6; e0/wf radius r at a constant speed v. Then it goes around the same curve at half of the original/0eh/tv;alcaz/ 6w b w 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 go+sfqqp 18mf;m es around a curve f;18qfp+qm smof radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goesbna)lj.wq8 wka- -k -r around a banked 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 force on the car from the road is equal in magnw8jwanl)ka -r q-.kb- itude to

  Two horizontal curves on a bobsled run are banked at the same ao c-mfb tp/-g:ngle, but one has twice the radius of the:b/- pfcg-om t 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 thej 4:)f; 0vr jspbh-qap Olympic 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 coming out of the turn. Why 4-v;pbh f: jsp)rajq0 do they do this?

  Is it possible for an object moving around a circular bxl ogmt+1,v0path to have both centripetal and tangential acceleration?m, b+txovl 10g

  The gravitational force between two objects is proportiod6,okw7j vm :rnal to

  The gravitational force between two objects is inversely pmh a 3 vlja65:e.hhkh;roportional to

  Two objects attract each other gravitait0oylmy .m57tn g q+6tionally. If the distance between their ce .0tyo nm q7tylig6m5+nters is cut in half, the gravitational force

  Two objects, with ma q:c.h4 3aoxxboxfck6-8g ck*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 mas -zc72/ub ygypsu7v8gses $m_{1}$ 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 uvb .;1b62btpz qj p,xrniversal gravitation.

  Compared to its mass on the Earth, the mass of an object on the Moon isly9hfbai27-r wnf*qd:, 2z ix

  The acceleration of gravity wa ggrv c29c;:fz/ duq48h. enon the Moon is one-sixth what it is on Earth. An object of ma2 rhfaqc4e/w udvng.:;8 c9gz ss
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the E dtrsqs2seu+;:l5faov )i,5d0 eq1rt arth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what poibg3nyj5 ta i d78btlap9e67hrc )i 3n6nt is it beyond the pull of Eartle c6g)bpinatyd3b a7 r57nj896t3 ih h's gravity?

  Suppose a satellite were orbiting the Earth just above the xph )1qpv lh4 h92vf-1serc6rsurface. What is its centripetal accelerationxhlv c1 pse)hfq9 -ph 2rv461r?

  A hypothetical planet has a mass of half that of the Earth and a radi.t)qw p+ww+j xus of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceler).xw t+ wjpq+wation due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-sixth what it is on Eyuufgi m;+/6no8 ;ev yarth. The radius of the Moon is one-fourth that of the Earth. What is t y/+vu8;yf ueom6gni ;he Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, bu( 1:qeiufke 2bi v/m,ut planet B has twice the radius of planet A. Ifv: uq m2,e iebfi1k/(u planet A has mass m, what is the mass of planet B?

  Two planets have the same surface pbgt3 ,bn-cx; r-a zj+jav4(kgravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the raxn ; va-gjrztb4 3bp+,k -ajc(dius of planet B?

  Consider a small satellfwievo3stox 13a3(p h ev7 -n +b42-vfej/cvsite moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellb3 o1 3h+e(c/ vv ta vpeseivw4f3sn-o2-x7fjite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates jhfxb- mse33x9 y 9db;in the same orbit. Compare the two satelli-b9 ;3xd bxf9ms jhe3yte's speeds.

  A person is standing on a scale in an elevator accelerating downward. Compare txu9cnlb cw7w:5ek3g;x d 8l3the reading on the scale to the person's true weiue93t8cx:d wg ;w7nl3kl5b cxght.

  Who was the first person to realize that the plane,raefr7z6 au-f) g8 ifts move in elliptical paths aroundur-erg ,8aa)6 ifffz 7 the Sun?

  The speed of Halley's Comet, while travelz0p75v,l ::eqk fq ffhing in its elliptical orbit around the Sk:q,75 v0pzefffl: qhun,

  Let the average orbital radius of a planet be R. Let the orbital period be T.2tsr/qq m5gs ef:r;: y What quantity is consta :rymgr2: /5qtf ;seqsnt for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Androme8biw1.w-p nh//hl zqhda, with the same orbital diameter as the Earth around our Sun. If thatlwin -.w qzh/18pbh/h 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 --hjvsr w) ij8-dg 5js3od v2tthe 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 tr-38hjsvj tsd5 g-- j2)ovdiwhe Sun?

State Kepler's laws. -tbdldw1 fwa3r,s:.v

  List the four fundamental forces in natur*sqms rhf2qa54;p/u l,*jc cve.

  An object moves with a constant speed ojui xvk.:jc*2dv ab -nb-o;tt3yy 0e i:xg/l-f 30 m/s on a circular track of radius 150 m. What is the acceleration of the objece30:-uvcx b;-jgbltvody yj-xtki/ai : . n* 2t?

  The maximum speed around a level xvxt5cc+q7 6 :o0kv zkcurve is 30.0 km/h. What is the maximum speed avx5zk: xk 6cq07ctv o+round a curve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of aa) di:+ob;abo2ugw g 1 bicycle wheel of diameter 70 cm when the bik: bi1ga)o 2;guw+d obae is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from c7k;m8 f5eb1qe l6 t7+ h pzhlb8gqc,gthe axis. What is the centripetal acce8ech fh t gk78g ,lz5b;mq+eq6bl7 pc1leration?

  How many revolutions per minute mup kut9zsedw1ol 44q- 0st a circular, rotating space station of radius 1000 m rotate to produce el4-t ku 4opqd0w 19zsan artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It go+jbd9rok on08uo1 4-hgtz+fa qq sq7+es around a 13.7 m radius turn at 96.5 km/h. What is thebo 8t 9 +o +j-dk+su1 qqonz4q70agfhr centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. hao li()l96eoqiq0tkju )9s + The system is whirled in a horizontal circular path. If the )i(ej6) +h sa0llqqti o9 kou9maximum 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 st3wc1 n -t/vge;uc,f; r;qclmpy : ye7aring and whirled in a vertical circle of radius r. At the exact top of the path the tension in:c; e/;wnyf3ary,7;u -mgt vl1qec c p 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 a vertical ci 4) pg h8q0 7p22:uvz6klc1 xajyjhyhhrcle of 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 60hy7cahxl 8 4 upj2jk qhv g:p1zyh)2point is given by

  A jet plane flying 600 m/s experiences an accbx 4)wurk;ueypw;d, r):;lkteleration of 4g when pulling out of the dive. What is the radiu pk;)dr4 uwwe :;lxu,)b ;trkys of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical xl tsvudkfhn294se5ik0 ):x vikv 077loop (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 it v2 kvh 0d75n7f4i skvk:0lu)xex9s with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can stand is abou in8*v5ks+vlj.nqqm:dl 7c+ at seven times his weight. What is the m*qm 7 nqklvjc5lan +: +i.dsv8inimum 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 round .pc4wm- y2lxsac32phs an 80-m radius horizontal curve with the tires on the verge of slipping. How fast 3-h.pw mycsc 4xp2la2can 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 spee, w*71zimq vkdm6.hced of 20 m/s. The centripetal force provided by f6hek .z mm7wid,cq1 v*riction 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 ai 4v1o*kq:ua4 db r)dzx 1o;nv speed of 14 m/s. What must be the minimum coefficient of friction between the tires and vo u 4br4n*1a;d:1dz)kqovxi the road for the car to make the turn?

  A car is moving with a constant speed v arf: t0tthn3suq g7c1t/ound a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the g7sq nctft 0uht/:t31 curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to negotia-t 8e:zr2mhz9 -o(c b1 imkkpbte a 100-m radius turn at 35 m/s without 9hrb- ezzt bo:(k c18 mi2km-pskidding? (Ignore friction.)

  A horizontal curve on a o+kdwe ; wc+m9bobsled 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, banke)ny67 b 9e6 z(jhpfn7bkx,m.q3d qhwod at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m i2y1)2qzchax zm,gzie :j4l o7s 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 igmugq.yz:*7y( b;tt poa- w *w tm,,ztn a horizontal circle of rwz m7 tzmgg*(w:opyt .qtb, y*atu-;, adius 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 ie+p5 an 6y/2 upnfbg5race car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular tracpyife/+5n26u g ab pn5k 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 of a protoax0.+i it-jt xn 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 qv-vdhcfc( 4j a(-pl7, due to the Moon? The mass of the Moon jv4 apfd vl(7 -(-chqcis $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two qm *m qg.h96hymasses is F. If the masses are moved to ham6qh.g9m* qh ylf of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance pozr7 1 g:dbaq9..d/e(qwaju from the Earth will the gravitajq a/drb.9uwzqo:(p. a 7gd1etional 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 Moon isido ih .n)2n7l $7.4 \times 10^{22} \; kg$ 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 fgp10 yal xv-zw qp07b6or a "space-walk" at a distance above the Earth equal to the radius of the Eax qz0l1vp ypab76 g-0wrth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Eartc )q -pi6r7efm,nws5yh's surface will the acceleraqi7rn pc,6 y5w-efs m)tion of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its sxo, jo46gx(grurface equal to 3 times the radius of Mars. The acceler6(oo,x xjg4r gation 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 som i;zq)a3/p pzzao19ume planet's center, the acceleration of gravity iszo)u9i; 3a/mzpap1 qz $32 \; m/s^2$. 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. 5 qmf.)gl dy9eThe Earth has radius r. If the object is raised to a hemd5el.q) fy 9gight of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person chq29pmzkc 8,)vbbh x; vange when he goes from sea level to an altxbmhq8v; v)b9k ,pz2 citude 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 alp,b)u/ xx,ra15jxe k t a point 3r above the Earth's surface. What is the satellite's wex/bp,)5l ,kxjr1uaxeight?

  A spherically symmetric planet has four tir;t-1t upkqpcg-by e: 8tos3 *mes the Earth's mass and twice its radius. If a jar of peanut butter weighsbspo;tueyc 8* q t ktp1r3:-g- 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, au1 0+v54s.zkyvpxs ithe Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon ha1u.xzysk is avv05p4+s 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 the M )e47bjt;-,hxpng abm+/tng a-7hw nnoon.
(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 7xcixx8 / n z8f5n9fjk(i.e., it just skims the surfj 7 8nzcn 5x9fxx/fki8ace of the Earth). 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 the Ea5e ;o/0:ybay:kyhrh xrth (i.e., it just skims the surface of ra0bo/y5y:hhkx:e ; ythe 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 5pfh t*ms-v6( gumj5 ethe Earth. It is observed to have a period of 89 min. What *5h t6vfs m5pug-je(m 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 an ha +3;:ohqz ybg*eivn1:,xlfd zef00orbital 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 ra oti+gmqp).w ely.; idf7p-g6 dius 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 ;uqn pj2u0.2lfv n s:gcircular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it tv u g0p.: unfl2ns;qj2ake moon B to complete an orbit?

  The planet Jupiter i5h anx* c2)ytcs $7.78 \times 10^{11} \; m$ 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 a*n1ch9 :kuq;jsa .kndverage distance from Jupiter to the Sun? (The distance from s.91kdn;cj nk* u ha:qthe Earth to the Sun is $1.5 \times 10^{11} \; m$.)