Is it possible for an object moving wit umb jtic,) .xzom/8:ih a constant speed to accelerate? Explain./t :b.i)z i8commj,ux

  Consider a particle moving with co1+ibc;kx d 6ysm,yfr:nstant speed such that its acceleration of constant mx cb +6:yyk; dim,r1fsagnitude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed.e)(u5k -ebxx fn2 g dthbc:8f .s9u*xk Compare the direction of the object's velocity 2c dux( kes59xbfe8x:f -h*g.)tknu b and acceleration vectors.

  When an object experiences unihq i5 yf*p e,y30e*pfiform circular motion, the direction of the accelerqyhepfe *35p0iiy, f *ation is

  Consider a particle moving with constanppt(g y8;qw :jt speed such that its acceleration of constant magnitude is always perpendicular y;8(tg:jq pwp to its velocity.

  What type of acceleration does an object moving with constant speed in a cis c0u:xg72/ noxon v:zrcular path e0 su gx7:2vxnz/:no coxperience?

  What force is needed to make an object mov2 ym oai+nf bxizab8u79mcm03ojr 4(.e in a circle?

  When an object experiences uniform circular motion, th3jnj mf- 4xgi:e direction of the net force is4nm 3fxji -jg:

  A roller coaster car is on a track that forms a circular loop in the v,7dfpqavp*+.v;vgg )a uw8x dertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for+v .7a;d dp),uvxga gpwv8q *f its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms a circular loop (rah xm mii//)*osdius = 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 p hmii)*xs//m ooint?

  A pilot executes a vertical dive then follows a semi-circular arc untik*;y 4x 7mdfvdri+ df bl(kyl: 7,hb:vl it is going straight up. Just as the plane is at its lowest point, the force on dd 4vrxky7dk*m+:y: lbi;l,hfb(vf 7him 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 radv k6c s1dns, 6jf75qxfius $r$ 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 spenn sff8myls(ge +9x(q-p2th ;ed 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 time, compared to gx2q9 pmly (8ste+h ffnns- ;(the first time?

  A car goes around a curve rt0ba.v) b9xu hss-9y of radius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on thes0rva)-xy 9ub9 shb t. 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 with speed v. If the dw1y*4y9j1nxn a6flf road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of they1ajnl fx n6 4f1*d9wy normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same angle, but one hakrzhzi 7l1(npt3v9 . ws twice the radius of the other. The safe speed (no friction needn.p1 lhi kt(7vw9zr3 zed 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 the Olympic bd od+ 1s7s17lwomy2.rsil8 huobsled 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. hl71 8o ds7 rio s2d.+wmsuyl1 Why do they do this?

  Is it possible for an object moving around a circular path to have both ceec7sgvprryg;g )t. 701x d 8kentripetal and tangential accelerati0 e1 c) dyg8rgg.;trepkx7 7vson?

  The gravitational force between ttuh7gd hq9,n- wo objects is proportional to

  The gravitational force between two objects is inversce0:k074aaybvht g1sely proportional to

  Two objects attract each other gravitationally. If 92nlk:a*pjn r y3k.xlthe distance between their centers is cu :kanxypl.*392 rlnj kt in half, the gravitational force

  Two objects, with masses:jwyhug-8zi we8l 71c $m_{1}$ 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 masses d2coq-u4g ;tw $m_{1}$ 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 gravitaz1c0c 0c(pvb s*k+ff.v ;3bv9 y hophxtion.

  Compared to its mass on the Earth, the mass of an object on twwq w/7xs3iy a,/*mllhe Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth9so ht vff2z s1p*3gr). An object ofof*z p1tgh2vf)r3ss9 mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Eartkyx)b+w-fa n8 h's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull of Eas1 vk( okl,kd;w(for6*v8s t drth's graokk(wsvrt ;f* d8 6sd,kvo( l1vity?

  Suppose a satellite were orbiting the Earth just above the surface. Whate i 9 jm8 k6i28ngqycntm83p3i is its centripetal accelerati833in9q kceyg6nm2 i8mitjp8on?

  A hypothetical planet px7yqm+:5mlgo/u.kn has a mass of half that of the Earth and a radius of twice that of the Earth. What is the accelerat.l/ x qm:gnm+ po7kyu5ion 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 dvdx+my3 )ks ,is on Earth. The radius of the Moon is one-fourth that of the Earth. What is thv ,mdydx) s+k3e Moon's mass compared to the Earth's?

  Two planets have the same surface gravwzl jt/oq/ g s9wc7r(g3(y,ufity, but planet B has twice the radius of planet A. If planet A has mass m, what is the masf7(rg ,z(y9ocw/ sq/ tj 3lwugs of planet B?

  Two planets have the sadlz: 3a, x 1lu3nuyxx 0mt1x9jme surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius 1j933:0ml ,a ydlzxxuux 1tn xof planet B?

  Consider a small satellite- yq2on+fnwb0*r*ho w moving in a circular orbit (radius r) about a spherical planet (mass owr wbh2q+*n0 fy- *onM). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and ro; lr2ac i1sdm5tates in the same orbit. Compare the two;s d2r1macl5 i satellite's speeds.

  A person is standing on a scale in an elevatorisjpb gf56 /z/ accelerating downward. Compare th6b g/5/f pijzse reading on the scale to the person's true weight.

  Who was the first person to realize that the planets move in elliptical paths e 798u yplv2boaround the l yep bvou8927Sun?

  The speed of Halley's Comet, while traveling in its ellipt7gcedwu .k qi s1+;hl3ical orbit around the S1 gwcku.s3+dl; e qh7iun,

  Let the average orbital radius of a planet be R. Let the ksx9d e;,,c5 h .p)dkduh5qoworbital period be T. What quantity is constant for all planets 95w.x d)kce;k ,soq h5huddp, orbiting the Sun?

  A planet is discovered to orbit around 4yp; y+o0uozf8xsi x+a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of oox80py;+osuf iz +4x yur 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 ipl wp - z)lloo: r*oi+be*9p(jc:-e tis defined as one "astronomical unit" (AU). An asteroid or o:ew ole :+(-*l-i t*opzc9ip b)pjlrbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws. o.j0q;svi.eo

  List the four fundamental forces in natugla fy*6:)vud re.

  An object moves with a constant speed of 30 m/n*wb p k4wio+i / 5doh8:o8ftus on a circular track of radius 150 m. What is the acceleration of t4:85hn+ib wfuoptd* /kiwo 8 ohe object?

  The maximum speed aroupl3)( vz.ujlt nd a level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radiuz p.lu3v )lj(ts? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration.l)vfy zx-4xp;.fnh / ./ -frpva lwhg of a point on the perimeter of a bicycle wheel of diameter 70 cm when ylrfn/ -)zxh.4p .v-.p;f v falw hxg/the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s 1 sth)kvgto(bv r:w)+is located 0.200 m from the axis. What iwvgst +:(ko tvh)1 r)bs the centripetal acceleration?

  How many revolutions per minute must a circular, rotating spac /bd gf )zibam gl*b:mq0i,6q*e station of radius 1000 m rotate to produce adb0,gmq) l6fqbm/i *b*:z a gin artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a massqjnh+ xt5f g78 of 250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What +qfg8nx5hjt7 is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m b/ zt.kxd:u 4v0wm8x dstring. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 350 N. What is the maximum speed dk.ztwb8du4vm:x /0 xof the mass if the string is not to break?

  A stone, of mass m, is attacheb fm5)8uc( txid to a strong string and whirled in a vertical circl(5fiu)mxbt 8 ce 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

  A stone, of mass m, is attached to it(n e20jbek68qcp 5b a 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 weighcje (peb5 iqn08t2kb6 t. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulling out o39a9uu *;+g heyndpidp n6;um f the dive. Whe; yddup ui399u*a;mnnpg+h 6at is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of la1(-bmht.ce -6b + *agmayptthe loop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat with only one-h(6btl +abtyam1.gm c*-h- ep aalf of his normal weight. How fast is he going?

  The maximum force a pilot can stand is about seven times his weig9 ue3yuzj+brmm75bi-ht. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed +mzbm35r9e7i uu - byjof 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius ho;txp hstiyfi 0(thq.) 1*zy xcs,g6,mrizontal curve with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assg.p 0 xct6*;ths,mzhtx s,yii1fy ()qume 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 yz*nu n1z:f; pspeed of 20 m/s. The centripetal force provided by frictio:*z pnnfy z1u;n is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat conq vv/ esdqsi (z62k0/ n):f6fa rfz)q4w mr9urve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to 6 v 2 /)soq qfr)inszr0nem :fkv q/d964afw(zmake the turn?

  A car is moving with a constant speed v around a level curve. The coeffic4 y6l. +ikv0b(/5ukkhonk:,ssq wmru ient of friction between the tires and the road is 0.40. What is the minimu:4uk0ukw( 6lk b+m/ sr kyivn,o5h.qsm radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to negoti9r 7re2*okkv+z ;yjao7ny+pmn 8eb ,rate a 100-m radius turn 8 *927are+ompnzven7o,ky+ r ;byk rjat 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at a pem*m 50d-zg 3pizr0o $45^{\circ}$ 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 -(dc,xnqak q3 radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked 0dy7qxu s )7ywqjki8+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 ckg 3n ct8ny;1)w a-ytrevolving uniformly in a horizontal circle oc yn)n8;-gta3kt 1wcyf 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, az;epfr;f2k yjhx n r. p.x+ra*b 89g.x race 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. (onlbhf28 p xyjrekr. z. ;x+rax; pf*n.9gy 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 con0j ukk8q7ewkd k2x:gp(8ne3wsists 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 sta mx ez5m s1fv/rjtbhu)/ 2g1t;nding on the Earth, due to the Moon? The mhbfm/xtst)j12zg/;m 1rvu5eass 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. Ip-axp is5tlhrk;o1*q8x4w nv bqe0f -9g 01olf the masses are moved to half of their initial distance, what is 1 *qnrfxgs l-bia45kwhp1 t0-9ol0 vqx;ope8 the gravitational attractive force?

  For a spacecraft going frk7;vc(ry2wxulh 4mj:om the Earth toward the Sun, at what distance from the Earth will the gravitational forces due to the Sun and 4hxylwk: c ur;j7( 2mvthe 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 iz vv;sj2r f2(pw61 o3mx voof0s $7.4 \times 10^{22} \; kg$ 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 at/hu52m/j w* uqflni 2bove the Earth equal to the radiq2 hi*l ufu/2tn5mj/wus of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's aste g; d 6/l:a:tyf(ssurface will the acceleration of f6:(y/eaad:g sst;l tgravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above iq*9*v7 opjqj uts surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acce*qjvpq 9*juo7 leration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center,5r0q+ 8x m5ra dwshr-r the acceleration of gravity is 5r-0r sr hwr+5ma 8qxd$32 \; m/s^2$. 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 radius r.0 c1e/xkc xrkuo5w 9d5pgmz ,; If the object is raised to a height of 3r above the Earth's surface, whodk;/rzg1 e 0xu ,5cwx9mc pk5at is its weight?

  By how many newtons does the weight of a 100-kg person change when l;.x:eafbhcusz)ib (ku* 5 2y he goes from sea 2 ) xh a:ue.if(l bysu5b;*zkclevel to an altitude 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 at a b p1y/ ;w0pq8rsyl x)mpoint 3r above the Earth's surface. What is the satellite';wrb)0p /plms1 q8 yxys weight?

  A spherically symmetrt,x5n0n, vlag ic planet has four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surfaxa, ,0v n5nlgtce of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, jn*is e8yx:0l;ipxk 3 Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. Thj ; 3x 0l:sxpi*e8ynike 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 the Moon.k8ovino7j**5xm+8qz xilu / k
(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 af0gj/ ;u qr2jr3eh8m ubout the Earth (i.e., it just skims the surface of the Earth). Wq8;rugjerhm0u 3 f /2jhat 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)o0,+mxm y ihe Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution aromh) xio, y0em+und 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 the Earth. It is ag. -s swthp,1observed to have a period of 89w -hgtsasp. ,1 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, has an orbitalj:pk:*1a 0gbu; mf 4 a3cgwhgy 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 ra7pa.y xm5q5le8cifd- 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 circular orbits. Moon A has orbital radi( 6xgrf+)iv r7ua/z5n)t 5f 4v e y(mpzjpkqd4us r, and 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?j76i qd +v5/)( zft kexzg45mprv4)r p(ayufn

  The planet Jupiter isfs voh1:h--xpv6b 2eq 9kv7y7 3a grxs $7.78 \times 10^{11} \; m$ 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. Whgh k:5r v/ptd20 4aoc.z s.xrvz uq.n5at is the average distance from Jupiter to . 25z zag.v . rdopx50v :kqrhsnut4/cthe Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)