Is it possible for an object moving with a caetdql4i .ybqcp+w f .4 63,fjonstant speed to accelerate? Explain.tq6i+capd 3yqe fw,.j4. b4fl

  Consider a particle moving with constant speed such that its accey d lck9e2/ jn29bvo,cleration of constant magnitude is always perpendicular to its vey 2 e9ln9k b/,jc2ovcdlocity.

  An object moves in a circular path( :t 4ypw 32jpecsg8jrgqp 0kquj ;y+; at a constant speed. Compare the direction of the object's veloci0s y( tggpjj q :w;up4k;qe+jr3y p82cty and acceleration vectors.

  When an object experiences unifo:z,)kh2vnac(t w-m)v: qjg bw /: gjqvtmhz30rm circular motion, the direction of the acceleration w km ahv-bcz) :m(nqqgtg2w:vjzhv:03j/ ,)tis

  Consider a particle moving with constant speed such that its acceleration of cond0ohxhr fx 1.-stant magnitude is always perpendicular- frhdhx o10x. to its velocity.

  What type of acceleration does an object moving,iqiam6g.m:v .azp 6i with constant speed in a circular path exmi.p ,:a6i vqa6.zgm iperience?

  What force is needed to make an object move in a circl)eiz37,9 wc f + u q*hj),xgj rh)ty(qjnqj/zae?

  When an object experiences uniform circular motion, the direction of the net6p1c j.fmj.ya forcfjmyc 6j.a. p1e is

  A roller coaster car is on a track that fon-ctk/cd3,d9y:0 (sqxfo0 l,a9 wjzdyw sk ,vrms a circular loop in the vertical plane. If the car is to just maintain conwdq03s9d(- c9 l,cy0 w,kzyjdnof,vatsk :/xtact 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 forms a circular lo6kgm;h/)g go:+trdfw-)nbi g op (radius = r) in the vertical plane. If the car is to just maintain contact with ro kbi:m wn;6htg)ggd-fg+/) the track at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a verticazcv zgrq/gp7 e)3q32 fl dive then follows a semi-circular arc until it is going straight up. Just as the plane is at its lowest point, gz3pq3cv 7)fe/2rqz g 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 ke 7v2nnt j v8:)t+oz/xfcs- lcurve 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 of radius r at a constant spr; 8 8)hokflqs0;byd2ypk ki*eed v. Then it goes around the same curve at half of the original speed. What is the centripe*kbf iyl;8 )y8d0 kqpsrk ho;2tal force on the car as it goes around the curve for the second time, compared to the first time?

  A car goes around a curvb0pcppjp1e.bet3 m*z.o3p:ze 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 the car as it goes around the second curve, ctp com*p3jb.e: z0.3pb p1pzeompared to the first?

  A car of mass m goes around a banked curve of rfk xu4m /8 g q:lwrz7 8)nu11zwsweh;tadius 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 magnitude tw87fw:k8 x zel;u1zmr)1g/nqh uw4 s to

  Two horizontal curves on a bobsled run are.uwal .6s dz4mv3ngc u8du8m(x;-pbl 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. Whatv-w8l;zbu.dp 36u m.ng l8 c(xu4smad is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic 7 *676an(q 0dxc suegw5 xfubbbobsled track is not constant, but increases upward from the horiz0s 5 eg cdb6w7u*nx(qbfua6x7ontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an okk xxlt foo;pyzj17-0s* :rb -bject moving around a circular path to have both centripetat:o rxxsyol-pkb7 ;* zfj0 k-1l and tangential acceleration?

  The gravitational force between two aw-j)tc .c+esm s*(zm objects is proportional to

  The gravitational force between two objects is inversely proportibtn,bw g5w9:2rzh yljsyh2:5onal to

  Two objects attract each other gravitationally. If the distance between th,pb 0e nox1yg)eir centers is cut in half, the gravita ,0pgneob )1yxtional force

  Two objects, with masses (/zilewpaqdq;-d 78c $m_{1}$ 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 *bk wj:(5tqvx/i(e s h$m_{1}$ 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 g,7m(j ;28aitjkhxkwm x 51 lvuravitation.

  Compared to its mass on the Earth, the my 1jqgrdx+(7y2p:p z*,qfwbhass of an object on the Moon is

  The acceleration of gravity on the Moon is ol6gfuj:6z w , g ;vw;)quggyd6ne-sixth what it is on Earth. An obj 66wugggwjvg;;q6zy,f l:d) u ect of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the fti)tboth04z-dss )y qr9u 46Earth's surface, the rocket's weight

  A spaceship is travedx /m9zt,34 gqf3d vtdling to the Moon. At what point is it beyond the pull of Earth's gravity?/4mfvxgq , 93d 3tddzt

  Suppose a satellite were orbitin iy4.3r xr* bc3i( wzuwm 0icyv:+x:pug the Earth just above the surface. What is its r:y*(3 z:wm i+w4icp.viyub x0uc x r3centripetal acceleration?

  A hypothetical planet has a mass of half that of the Ee2va :.d:rzsyv1h 8 xearth and a radius of twice that of the Earth. What is the acceleration due to grrevz:vx 8sh1 day.2e: avity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of p3pb/(vy) f upgravity on the Moon is one-sixth what it is on Earth. The r fyp/v3(ub)ppadius of the 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 gravity qre7;zlrp0ayq-9xqm3 3 re; o, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of planey0oxrr3;e9 e; ma7q-p rlq zq3t B?

  Two planets have the same surface gravity, but planet B has avea;)54sh:jb)lgpptwice the mass of planet A. If planet A has ;seba )g5pj) v4a h:lpradius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radi))*yi uykxv p1us r) about a spherical plane) ui )vyxy*1pkt (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satefb 8l 4j9*2onyqwu 6b2vrnj 1vllite B, and rotates in the same orbit. Compare 2l4oq9 b8uvy6j2 j*r vbnfw1n the two satellite's speeds.

  A person is standing on a scale in an elevator acc4v y+ed-a/euh 2y3 zsj3lva6uelerating downward. Compare the reading on the scale to the person's trad ua-/hz vyu6 3le+se32v4j yue weight.

  Who was the first person to realize thatp l5ve dw442tx the planets move in elliptical paths arol dpvt4 5we2x4und the Sun?

  The speed of Halley's Comet, while traveling in its elliptical x0slp,sjq/ 1bpe d v1peo4* c op+hr93orbit around the S0e9v4p+ 3/ppcb1oh pej, l x1qsdso*run,

  Let the average orbitalky rd uy **ex3s0g*il 7tn3a)w radius of a planet be R. Let the orbital period be T. What quantity is constant for all planets orbiting the w3riyx)snea*u*7 kd3*t y g l0Sun?

  A planet is discovered to orbit around a star in the galaxy Ar7qk,7g elrmj1 8sr/l:z ter*ndromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of gj ls7rt78rzkrqml / e*:,1 erthat new planet be, compared to the Earth's orbital period?

  The average distance . 9flqzwp8un8 k9lev8 from the Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Slezw f8ul.p89q k 9vn8un in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws. d9blus8.c.vdq( njj 0

  List the four fundamental forces in naturmkmjn+ ppjdq+3 331 ste.

  An object moves with a constant speed of 30 m/s on a circular tra-njh f1f)j 2gu2eps4 gck of radius 150 m. What is the acceleration of the objen-usp 4 f2jg)12hg fject?

  The maximum speed around a level curve is 30.0 km/h. What is the maxiee3ph6 xpz* wm5o6)/w ;nskzkmum speed around a curve with twice the radius? (Assume all other factors remain unchanged.k3zemx*6e/;s6 w p5w)znph ok)

  What is the centripetal acceleration of a point on the perimeter oe xb ,)xavs8:mf a bicycle wh8:xasbv me,x )eel of diameter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating jj)3t6n *+w)erz m+eltr i,u wat 5.00 rev/s is located 0.200 m from the axis. What is the )r )wn3 jwlizt*m er6 ,+etj+ucentripetal acceleration?

  How many revolutions per minute must a circular, rotating spajpnvig:4hn -l-e)m) ,d9opr m ce station of radius 1000 m rotate to produce an art4j)v9ninr :m p)-pmolg- ,e hdificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 -jj j)7zqt,v1kgu,jk kg. It goes around a 13.7 m radius turn at 96.5 k7),- qu kg,vj1jjtzjk m/h. What is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached t6mb rouf -j 3b.zua(3oo the end of a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the strf m3b.- jzr6(3aooubuing 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 vertical 77zn1l ex/+f0s fw/o;p)gwpz fo. vgs circle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight. Tw fo+1fozs /gz 7sw gp.v7;e xl/fpn0)he stone's speed at this point is given by

  A stone, of mass m, is attached to a strong str),rqril2 yz h7ing and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times 2z)yih 7rr,qlthe stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulgw,h y 85qq y,b;n7mvyling out of the dive. What ;v5w qbg8ym7ny,y q,his 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 the loop is be .o s+f/j 8r.u69x*dtl7 qe4ypzrrbq pneath him) of radius 3200 m. At the top of his loop he6fp.* sqe4 7+r/9yx uo.b d qrzrlj8pt 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 sev+mkrh+p y,,w ten 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 spee,th+, +m kwyprd of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizons z17i5bjnvq 5tal curve with the tires on the verge of slipping. How fast can this car ro vqs51iz5nb7j und 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 of7dz d*oh.8nrr 20 m/s. The centripetal8nr7d h.dz *or 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 o 8i .rtuq1w0:lt; unqa speed of 14 m/s. What must be the minimum coefflr1 tqu wt qu8.:;0oinicient of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v around a level curve. The coefficqyeo 8rem 366jn6 8oxcient of friction between the tires and the road is 0.40. What is th8c6qje3nm8y x6oo e6re minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an O3c)b vt l8e0;h jifzsoj7sx9c12 wb6 qlympic bobsled to negotiate a 100-m radius turn at 35 m/s withozft sw )b0esblj;jv6i271o c ch x83q9ut skidding? (Ignore friction.)

  A horizontal curve on a bobskc4v4 b:qh,z: ck6 yksled 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)dpwtb++ ue6 .ie)e b kjpe2j2d at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bankedsg6 z1q)* heb)s;ohs l 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 horirp007. rq xcsfzontal circle of radius 0.500.sc 7fq0 rp0rx
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 accele1z+f;x/ cd 57q w8dyo jn2wwterates 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 the bla7oxcj/ qndw twe;1 +82d5zywfnks)
(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 consi 9jc 4pkocleo(/ 2 aozoq32z2osts 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 pers6-mb ,(x nit 8tq u,o1mndx2xdon standing on the Earth, due to the Moon ,-6motxi1 xm tnq x8db,2du(n? 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 the masses are n d-p,ic1qb kfk5sp4mxa75r8t1 )fm m moved to half of their initial d8m 5x mp1snkr )dk-fp147fc,i5abt mq istance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at/.6) kq,vkh krm,nez f what distance from the Earth will the gra,rm6ezv h/fkkqn,k).vitational 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 t.crfzv3/e q (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 distancebr:v cj;c tppbx5 s;8* above the Earth equal to the radius of thex5 pcvs*p bbjctr8;:; Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earthv+df2.y oh:fem r)9zy 's surface will the acceleration of .f v : h2oy9)fyzme+rdgravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 times th4zde/rzx qd h )km239se radius of Mars. Th)94hszm2zqdxr ek/3d e acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 1400dssr 8*5x3ypc +3ky yl0 km from some planet's center, the acceleration of gravity l 5ysx 3s3*dcpr8yk+y 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 scncq6djl3hg13o9;sjwj 9 0udu)sj /ourface of the Earth. The Earth has radius r. If the object is raised to a height of 3rdd 9o 0wncu soc u/13jq)j;96jj 3glsh above the Earth's surface, what is its weight?

  By how many newtons does the weight y nd/bpta)4z/ of a 100-kg person change when he goes from sea level to an altitude of 5000 m? /d4nzpa/t )yb (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 poilji40qvc.u3ce*szpg 8j si.+nt 3r above the Earth's surface. What is the satellite's weighgslcpi*.u8 .jqizjcs0 +v4 3et?

  A spherically symmetric planet has fourrhf9sl3s imhrey6 p j0x1.*pn:f , 9wc times the Earth's mass and twice its radius. If a jarn3 6 y.jhp r09is9fwmh*c,fplr1sx e: 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 Moon, Earth, and Sun ol5*rj s82 nw+:b0i/ ewoygsk all lie on the same line, with the Earth between the Moon and the Sun. Tik2n* je0w8 /slgb5os r+:owyhe 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 Mooz5j ff+ u8 ta04,paacrdlm/ 25re ko0mn.
(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 jp uah(zfo s gdm- 0ba998/5zbk c.-u,nnu*ta (i.e., it just skims the surface of the Earth). What is the speed of the satellites jm/9 *un8hzzn adtk(5gc- ua09bo.f ,-bpau? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circulj ) )h5n4,7 ndmz;bmg.djay3 t3eckckar orbit about the Earth (i.e., it just skims the surb7jz). am ck),y;3tc 5h4 gdj3m endknface of the 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 xiynz*jsxcci/i9 ;0 rz 3kd +dq*rn/9of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean radius of the Eaxd9ci*0z/+z ii sdk y/;nj9 xc*3rnrqrth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital dia k.tys1zk8 fz5779es kute/m/c + qhxameter 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-wc7xa9u09 ieawrq4 n(ww6q kjlov8: orbits the 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 nea1s.d z5xip .wyrly circular 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 t.ypdwxs1iz5 .ake moon B to complete an orbit?

  The planet Jupiter i o n (m*eec4/v)ebk2fql yo:+ss $7.78 \times 10^{11} \; m$ 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 ul0yeoqla7 /jh9 z6 8wthe Sun once. What is the average distance from Jupaqh6y/7 l l8ew90zou jiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)