Is it possible for an object moving with a constant speed to acce808; w krtyjcqlerate? Explain.yrc08 w kq;8tj

  Consider a particle moving with constan lyqol++g1t4h5f8 prnt speed such that its acceleration of constant magnitude is always perpendicular to its velop l+yro81q 5h fnl+g4tcity.

  An object moves in a cit y0n*yiy)c 7fm7b0/ qrvz2jnrcular path at a constant speed. Compare the direction of the objey0f*nj ) tb0 2 v7rym/q7yicnzct's velocity and acceleration vectors.

  When an object experiences uniform circular motion, the directiot ww( wl,1n:nxn of the accelerationw:ww t1l,nn(x is

  Consider a particle moving with constant speed such that its acceleration of: eqi(twsy8 *z constant magnitude is always *(w8s:q itezy perpendicular to its velocity.

  What type of acceleration does an object moving with constant sovxl,6r*n a nb 0tj85vpeed in a circulan*, 6 val8nob 0trxj5vr path experience?

  What force is needed to make an object move q u(tuxne1kj ji;2(7s in a circle?

  When an object experiences uniform cu3y;tq/ 9ou3mmxta g0vq;+h g ircular motion, the direction of the net force qu0+tt;uq 9 gm oh; x/mgv33ayis

  A roller coaster car is on a track that forms a circular loo e ys,u:se)9ljp in the vertical plane. If the car is to just mai:seyes)j lu, 9ntain 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 formhw zq22j 5jf+uf o)ozpa:2b1q s 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 for its speed at that poin2f1o:fqa 25ju )w+bz phqzoj2t?

  A pilot executes a vertical dive then d3( .u(d4gj obdez2mwcj *(ojc zkf31follows a semi-circular arc until it is going straight up. Just e c(4j dj*jomfozdb(wk3u (.1cg3z2das 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 rv )jqo*,axt 9qadius $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of radiususob 4j , hh0rjf :ma;f.v dxa3x,*6me r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal force on the car as it goes around the curve for the second t0.4 xa*h sfmj:u;x, dh63efj,v abmro ime, compared to the first time?

  A car goes around a curve c byvbqnl660o/tm58 v of radius r at a constant speed v. Then it goes around a cur8o6bn/m cvql6 b50v ytve of 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 goes around j n2*2uju ..q)hqz s+iq p)iaqa 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 tzn uj.i22uq qqsajp+i.*) )qhhe normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the sarnzu*u 5y,g/ zme 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. Wh5uznu,g* /y zrat is the safe speed on the larger radius curve?

  The banking angle in ay. be/xjk f ssmg nn(er)f1 )m4l4.vd; turn on the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will)xk g4.; /e1r vlm4js) f(mf nnsbde.y intentionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to have both cennusn41)keb ir, x 9n2gtripeta xukb1r n,i )g2en4ns9l and tangential acceleration?

  The gravitational force between two ob mmb4b3h d1jqjq1 6vhj3bm) *cjects is proportional to

  The gravitational force betwe-) fuwsyb 7 .mnqt. g4twm0kb5en two objects is inversely proportional to

  Two objects attract each other gravitatio/lsit l r5n-g8nally. If the distance between their centers is cut in half, the gravitational fgnli s/r5t8l -orce

  Two objects, with mapbl e-9m8 p,hksses $m_{1}$ 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 gv2 byd*h6z4sses $m_{1}$ 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 gravh40 kv65ly eg8sky dm1itation.

  Compared to its mass on the Earth, th u)1c-l7pg)(jm49msooit b k ye mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on n n(7yy5vc y k-,z3/h xnfi.fgEarth. An obyf.c3(v,fy h5n7 znyi nxk/g-ject of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from dd8x 04v67oe2aeoyo; hpv3v tk+inw7 the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull op.lv4q r.c6j p9.p rru*d 2nkhf Eartprhn96q.4v ul p.kr r2p* cj.dh's gravity?

  Suppose a satellite were orbiting the Es;ba0jkuft 5/:wk vl7 arth just above the surface. What is its centritj 5v/slkfk;bau7w :0petal acceleration?

  A hypothetical planet has a bit;py3j0,wd mass of half that of the Earth and a radius of twice that of the 3;dj p0b yi,twEarth. 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 Earlc npk u.0gpdx:w3+ 7gth. The radius of the Moon is one-fourth thal 37c0: kppdxu +nwg.gt 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 tnj,ku8tx4 9 t xcbdn*:wice the radius of planet A. If planet A has mass m, what is the mx8 u,4b nx*:c k9tnjtdass of planet B?

  Two planets have the same surface gravity, but planet B has twi jxwl4xb :e1b* )yqdv5ce the mass of planet A. If planet A ha5wlyb 4x *je 1qd)x:vbs radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular oacmw (2eimsni l19j*zh.1 6pvrbit (radius r) about a spherical planet (mass M). Which expressiii6v2ej cazlm m*( n1.w1hs9 pon gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates x57.ww0n6v0nf1 ,xpkbwsws e in the same orbit. Compare se. 5vkwx0wnf07s 6b wwp1nx, the two satellite's speeds.

  A person is standing on a scale in an elevator acceler*dhd3x.v ) u)kstu/-;ayl cm je 6f.tlating downward. Compare the reading on the scale t u.lf-ahdt*6 mk) ) 3seux.y/jvc;dlto the person's true weight.

  Who was the first person to realize that the pla8i9 zt2uvouc3htde0. ze g,7w nets move in elliptical paths around the Sun?0ht3ow2 9vc,t8gued i.zuez7

  The speed of Halley's Comet, while travet t5(pdojk,f keqy7kz:;+1bv v -f2 ;rz* vrvxling in its elliptical orbit around the Sun:jbt5edok7+kkzv(-r1r; v * qy x2tfp;,fvvz,

  Let the average orbital ciuae* sud:* d.flyg /il-9g2radius of a planet be R. Let the orbital period be T. What quantity is constantl*ig.9-/u:dfauelc d i *sgy2 for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the gal f4 y0rppo0 v3om+dun n7.:xadaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that syproa3n:ndfd .u0mxv47po0 +tar 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 on rhyas( cebt19r:go55e "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the as5hg9:set a15 cb(orryteroid's average distance from the Sun?

State Kepler's laws.tz 7gsn j3;etl/8kg):y4 wpq m

  List the four fundamentahpy3f ; uyxh,x(;pw -bl forces in nature.

  An object moves with a constant speed of 30 oxka9/d5 .v akm/s on a circular track of radius 150 m. What is xkva59 d ako/.the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. vd67u+g ,v6gmlwjt;tey8* x uWhat is the maximum speed around a curve with twice the radius? (Asg7wx*ugvty 6e m l,8tj6+;vdusume all other factors remain unchanged.)

  What is the centripetal acceleration of a pkl zj9 bk10/z rev1yv)oint on the perimeter of a bicycle wheel of diameter 70 cm when the bike is movinglevv yz1jbr)k / kz109 8.0 m/s?

  A point on a wheel rotating at 5.00 +kht tp7znh0dps l12i :2dg8prev/s is located 0.200 m from the axis. What is the cent1nh 2klpdsp +2htgdz70:pi 8tripetal acceleration?

  How many revolutions per minute must a circular, rotatltql29 w czosh:-5o w7ing space station of radius 1000 m l o 25l zc-qw7s9woth:rotate 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 radiu 2rxw*jc5g4 1pc 8(oiulnd.gclri(x7s turn at 96.5 km/h. What is the centripetal force on the motorcyclnx*u271owgl 8dcjcr(i5x(cgir. 4p le?

  A 0.50-kg mass is attached to the end of a 1.0-m stringdi d91cvik wxca ;6p47. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 kpc acvdi4i;xwd9176N. What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attache3rtl id4mffk p-s8,fhv+a;, xd to a strong string and whirled in a vertical circle of radius r. At the exact top of the path the tesm+f-dh,4 ,lak rx83 tfpvi ;fnsion 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 whiz+l:8ckf2 6 yi ir+e yb(5dyqkrled in a vertical circlel2y8b(k+5cz k+ i6 i:yrqdyf e 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 point is given by

  A jet plane flying 600 m/s experiences an acceleration i)nrn*h wm82u of 4g when pulling out of the dive. What is the radius of curvature of the loop w)n*ru im n2h8in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of y m/;mwfes r* * ps5/6)bmygmdthe loop is beneath him) of radius 3200 m/ 6dm mfpbss5 mgey;m y)**/rw. 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 is about seven e3g8 yszqa./i times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can toler/gi3 szy8aqe.ate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tires on .fajrhnefqy9p.0d3 n3igb ,, the vread nh,.3yfp qbi ,.30jg9fnerge 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 m with a speed of 20 mqx fkih+f( o*;/s. The cent kx*;ofqif +(hripetal 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 radius 50 m at a speed o , 4z2vqo 4zgbi0pbb+ x2kfyr9f 14 m/s. What must be the minimum coefficient of friction between the tirqbbyk0ip4f 22 r gbzo4z v,9x+es and the road for the car to make the turn?

  A car is moving with a constant speed v around a level curve. The tw zcm.6 957 rju+ tl7ydjf6eqcoefficient of friction between the tires and the road is 0.40. 9u5 jz67.l6d+tf7mqcrjtw y e What is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is 5mdl 3 zt.s4u7 jzqi8drequired for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skiddinz.s d ti5jzq8d37 ul4mg? (Ignore friction.)

  A horizontal curve on a bobsled(gs-v3ql34nm oc3 otpikqv) ) 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 10z5t .1gqk pkwhd0maq1+7f9c x0 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked g auhnw0 z49x:,/bc xpdz;r,m 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 eg14 x h+ukzz;;il 2slxnd of a string is revolving uniformly in a horizontal circle of radius 0.i2l 1k zsuzlx;+h x4;g500
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 ra 0( j5y*kk h;oq c0rzx2;v+lg pa4izlbce car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical value in *+za0br ( lk2jq;0y;czph lkxg vo4i5 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 o3 -du-dc n7glntv+0rof 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.n krs:vd3o; z on a 70-kg person standing on the Earth, due to the Moon? The mass of the Moon is ;nd:s kvzr. 3o$7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masses is F. wf-xqd ( ffnuts/x81 6 If the masses are moved to half of their initial distance, what is the gravitational attractive f1xf8ntw/ f(d sxfu6 q-orce?

  For a spacecraft going from the Earth toward the 4.k8wx7 x,0:ahn+ k bhgehlkbSun, at what distance from the Earth will the gravitational forces due x.h4k nkx8gk+h7 bewlb,0ah: 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 tzb;w ekuny6u7,r ;fhbk9+q fh0ny)3 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" ag.e: gu y8.p azn4yyk*t a distance above the Earth equal to the radius of the Earth. What is .*ygz4ugpk8e.:ay n y her acceleration due to gravity?

  The radius of the Earth is R. At what distance abo kpm2/ti k.7jg,lixk24xz yz/ve the Earth's surface will the acceleratyz.gizx2lt k7ik/pk / mj2x 4,ion of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 ti sy( 5kn7o 8s q8.s dx ek1)qn6-qzf6c,ckbwoqmes the radius of Mars. The acceleration of gravity of the satellite, as compare8,qsq56c-eyk1 7o c qz ) sq.n8ndkkso6wbfx(d to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000*3 nlu + *4wpdkicmz;d km from some planet's center, the acceleration of gravity*ld4w nmcp+du;ik3 * z is $32 \; m/s^2$. 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 Ed-r01*vjs38y:diw ut. d4fld b+ jvhvarth has radius r. If the object is raised to a height of 34j8dl id3tjr.*bf1vs+dvhd: u-v wy0r above the Earth's surface, what is its weight?

  By how many newtons does the weight of hm,7fo p.icn q-4dn)t a 100-kg person change when he goes from sea level to an altitude of 500 p4n-dinf t)7co .hqm,0 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 at a point s /nqh:cmh(f w(fs;wl44jc( s3r above the Earth's surface. What is the satellite's weight s /jwwm4cff(;s hc:nq hsl4((?

  A spherically symmetric planet has four times the Earth's mas - 7gk; 7njgztow4wp/as and twice its radipkwa-jz/7go4g7t n ;w us. 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 92chqc5ehjbb y;l : h1Moon, Earth, and Sun all lie on the same line, with the Earth between th2hecqc;b 9 l 5bhh:1yje 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 transport .ow4r- hl+rared 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 th fj*jq 1d20ydge Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean radi*yd q20jf 1gjdus of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a 8ocs1uuo0 r9plow circular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The meaou os8 p0c1r9un radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circu :v:l tj+d)ddrlar orbit 230 km above the surface of the Earth. It is observed to have a period odrdd:tj+:) lv f 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,gr7yn ( qgw/ 6fez5/qz 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 radiusszt3e)*p wa7:wk2bki 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 orba8e + yus y:ls,m j6gbjflg5-0ital radius r, andssjl:-+a6e j 58gl0,gyyufm b moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter ijbj; vffqml5c (y*+5 f. /mhjns $7.78 \times 10^{11} \; m$ 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 12sskt6a 07zeg):o bi; 3dj d1xatb;l 2a years to orbit the Sun once. What is the average distance from Jupiter to the ;:edx a2; jbi31as tsdz76k 0a)tb logSun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)