Is it possible for an object moving with a c e- /p ba8x9p(qijka0s9ybt 8constant speed to accelerate? Explain. - qptk8sa bbp0( aj8ey99ci/x

  Consider a particle moving with constant *xb8mlp(qgvgz 5o; k8speed such that its acceleration of constant magnitude is always perpendicular to its veloci(gk8*8xmp v;ob lz5 gqty.

  An object moves in a circular path at a constant speed. Compare the directi0fi h 8bgel95don of the object's velocity and acceleration vech d gle8bf905itors.

  When an object experiences uniform cirqu3cjomj4+b l pmch4cd9k -48cular motion, the direction of the accele8u4ccdj mok3h4m-4+l cbpq 9j ration is

  Consider a particle moving with consta5 0jr:k+noxbxyh 1 i d:f8yut-nt speed such that its acceleration of constant magnitude is always perpendicular 8r5y1u:bxd:xi h +fj not0k-yto its velocity.

  What type of acceleration --cz( up(u mm: mph.zbdoes an object moving with constant speed in a circular(c zm b-z-phu(m:m p.u path experience?

  What force is needed to make an object move in z+b m-zg (bj(4pi*,ocq/ bz/ ej.pifi a circle?

  When an object experiences uniform circular motion, the dz;tj 3:vcz +fvirection of the net for;t cvv:j3z+fzce is

  A roller coaster carhh8. cdm7 nhe+nc2n+nk:y)yi is on a track that forms a circular loop in the vertical plane. If the car is to just maintain contact with tr+nhn7n )de ch2c.m +i knyhy8:ack 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 thatr)xe 0*o)ouffum+mt )fq+-ct forms a circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with tfx)q)*toe )f-mtu0r + ou+fmche track at the top of the loop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semizsg61o::-/r ked5 e :nuwdsx p-circular arc until it is going straight up. Just as the plane is at its lowest point, the6u e kd1-:s/nexd:or p:s5gzw 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 g:hwflxy 4 0872efqh tgp/,ljradius $r$ 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 speed v3hdz+ 9 bvx7treo .o;u ar23a:qkve0y. Then it goes around the same curve at half of they203 raqh.du9bav oe: ; rxtkz7e3ov+ 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 consta3w 8 xogohv84bnt speed v. Then it goes around a curve of radius 2r at ox wvo 8g84b3hspeed 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 a banked curve k dqmk.(6bhgqa, 5xg,nc 7f-dof radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve if t-ckg(n a gb .d,hdqmqx,7k65 fhe horizontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the sam 9xfzzv k u3hxa::o2ti/nkf( 8e 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 la/huz3fk 9 t(azo 8x: xvfn:ki2rger radius curve?

  The banking angle in a turn on the Oly a6;wlf61 8d usmwd*cvmpic 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 comia vw;sfdd6cu6 * lm18wng out of the turn. Why do they do this?

  Is it possible for an objeczyfypltg8 hh -,y9m7t5m7wm ,t moving around a circular path to have both centripetal and ta,ygytpm7m7f m59 z, tlh-h wy8ngential acceleration?

  The gravitational force between two objects is proportionaa9;pfh gqm5 +7+ qappjl to

  The gravitational force between two objects is inversely p+2.4 qcg2 i2+ b,vgg5zvgq6 qt takyvproportional to

  Two objects attract each other gravitationalqrl (9m8(*qhjsco fj+ ly. If the distance between their c( fmrq(*j o jcs+8qlh9enters is cut in half, the gravitational force

  Two objects, with masses pqm8baqd yd5mqwe4uc3 :(0e1$m_{1}$ 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 upm9ik1eu ri,eri p94 y. ;rn5$m_{1}$ 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 universalo5eqc.el1-w7 mfan, y gravitation.

  Compared to its mass on the Earth, the mass of an object on the Mo2 ux(ysw *gjbln4d/f4j 0yjo- on is

  The acceleration of gravity on the Moon is2 t qljm8 s.l32taj3qptxs3+b one-sixth what it is on Earth. An object3jb2p lqs8t q.j +3tmxs3a2tl of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves awayx/a,e xh4 wg0t4fkus u ns1;0o from the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon.8s;o r b5syxd8 At what point is it beyond the pull of Earth's bsdo5;8x y8 rsgravity?

  Suppose a satellite were orbiting the Earth just abovljm; 3hhzo4 t3e the surface. What is its centripetatz ojh3m3hl4 ;l acceleration?

  A hypothetical planet has a mass of half that of the Earth and a radius of twicv- ,1uk xqnbf3e that of the Earth. What is the acceleration due to gravity on the planet in tervfx1-q,3 n bukms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon i7l6n mm ambn39s one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon 39anm76l bmmn's mass compared to the Earth's?

  Two planets have the dwe:lvn gy:u:ph 3 7zan; ;cv0same surface gravity, but planet B has twice the radius of l yw:nzd e;vg37v; p:an0: cuhplanet A. If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface g og 5udrg17g n 6tt+smnjnf;0+ravity, but planet B has twice the mass of planet A. If planet A has rg0;gft5jo7g n+1+n stm 6urndadius r, what is the radius of planet B?

  Consider a small satellite moving in a circu3(+gnhk tkjl9 lar orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbital ve kng(9h3jltk+locity?

  Satellite A has twice the mass of satellite B, and rotates in thpt-az3n f:yw* e same orbit. Comp fazn:y- w*t3pare the two satellite's speeds.

  A person is standing on a scale in an elevator accelerating downwa dgm6rao* 6:b5 ot)7puxbb 1oord. Compare the reading on the scale to the a 7tdo*b6xuomrp1 b5: 6gb) ooperson's true weight.

  Who was the first person t b a;6zy,n.yqvwnqw00 -*ehrbo realize that the planets move in elliptical paths around thw;an.y qb6 rq-ve bwnzyh0*0,e Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit around tt)q)dpo9zt cj8jy d(7u b+q )ahe S9)zub j qqpjyda)(d )ttc+87o un,

  Let the average orbital radius of a planed d9 ye dj w8 xb6mtpqt0/2wk+wb;ue06t be R. Let the orbital period be T. What quantity is constant for all planets orbid 2twqwetb;0b+0 e dy9uxwpj686 kmd /ting the Sun?

  A planet is discovered to oz(n9 )i-k;zhph *-d1,zdg pbw (yp ftyrbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that starnp f1phwd((hkz-*y;tzd b g- ) ,piz9y 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 th o,yuaz(-kfeto9)q i*a7t v98utzgg0e Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Suvzou0tz (y8-go 9k t a), 9u*efaitq7gn in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.1nu8iqi4d i xcp869bw

  List the four fundamental forces in naturermc;u (x38k(t7 zy wzxkix+g, .

  An object moves with a constant speep2 wjq(ugn,3fn+ p q),lvo2tid of 30 m/s on a circular track of radius 150 m. u q(n,lv,t2j)ppgof+wi23 n q What is the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. Wh u hdpcm f5d*fzny e*f,qu.t8ch94 d90at is the maximum speed around a curve with twice the raddp u90uhycf f,dtn9mq58*z4f.dh *ec ius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perime/e.wng : yga)hter of a bicycle wheel of diamegga .:/hwye n)ter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0zl 1vj,fm0szu;w zc5; gcq7p4.200 m from the axis. What is the centripetal acceler1glzw7 s, fzc;vumq5 jc0p;z 4ation?

  How many revolutions per minute must a circular, rotating space5mvzfy/pmj3b+d 3zf q j6)zs. station of radius 1000 m rotate to f65y mzqp.3zszj)d3mjv/fb+ produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 25ne(qr,a4ficz rief1euq+ v88:/1evc 0 kg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal forcv1aecf +e4i8q/vrre,en (8if1c u z:qe on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m l1hro(f 27ool xiigubc9 p/2t*u84jrce r7*xstring. The system is whirled in a horizontal circular path. If the maximum ten/oj( up*oto*rier47r9 b8cxh x 21glcf u27lision 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 0l cmxy:4cbcjh/af qav9 6 e 1an4/bm+a strong string and whirled in a vertical circle of radius r. At the exaby 1h lq0/ xab f9acj4 avcmc+men46/:ct 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;:k4zl 0;q sgyinm. wd a strong string and whirled in a vertical circle of radius r. At the exact bottom of the :.;k4 l0 wgnm;dyzqis 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 fac c- /rbjb9wb4x ;e .a4a:joexperiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of tha 4xc/;4eb9cojba - .bfrwa :je loop in which the plane is flying?

  A pilot makes an outside vertical loop (in9hpk i t;;1ccq which the center of the loop is beneathp 91tcqih;ck; him) of radius 3200 m. 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 pmet,c5bk+/l 0m zp-qxilot can stand is about seven times his weight. What is the minimum radius of curvature that a jet plane+ p -5mb,lxtm0 kczq/e's pilot, 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 cun5wdoax8jd 0:rve with the tires on the verge 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 5j8 wd0:danxo surface.)

  A car is negotiating a flat curve of radius 50 4kwk.+-d x:v g 6fxja++g jkejjq)tn3m with a speed of 20 m/s. The centripetal force pro +kjf jtkj4na .)v3+k dg6:ewjx-gx +qvided 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 of 14 m/s. Wx3 awtb7h(lo)g(ik7ljhm z0 .( kht+bhat must be the minx( )(z oilg bth3wb7 0(aj+hthm.lkk7imum coefficient 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. ,v-hcnhust,v z8qq;ji.l7i jco;: c : The coefficient of friction between the tires and the road is 0.40. Whct, hiq; c:jsiuq.;hz8,o - v:vjl7n cat is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required f*t1fl jv4behhvmki,9x-ip 61 (y2 dvfor an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore fric t 1jv6kv*9d e1ifhymi4f2vlh (xp -b,tion.)

  A horizontal curve on a bob :zkn6 :0w*y hphzscv,sled 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, banked at t,l8b8nssvh 7qx g.yfcr kzk4 0,zm)/ an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80*119:) q9cksel : wqhhrknmij m is 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 in a horizontal circ.xyw,4j c fu+ple of radwp+.y4c uj, xfius 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 race car accelerates at a unifk jl2lx dn4kv e-)7ly4orm rate to a speed of 45 m/s in 15 s, moving v4jyl7kxe l24- lnkd) 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 consists y9(jhsuddq*,,wc r7 m 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 sfph,wt quqp/w 6i62,eo yb7 f9tanding on the Earth, due to the Moon? /tfqofiw,6bywu,2qp9p7 h 6 eThe 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 beq: 6 (v;u.v;a5brxtms1 zjggdtween two masses is F. If the masses are moved to half of their initial dxv:zbvgg(at ;uqd1;s r56 .jmistance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sunto e.5xvi td0/,suf+ g,nt+rmzp az )6, at what distance from the Earth willx/g )ad+vi e,uz 5ttts,pn+0 rf.zm o6 the 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 Moon ceh1fnc(p3 s3 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 the 5,ncvp m /uoyqwlap (2kj 4,c4Earth equal to the radius of the Earth yokq5/ ,mpwj42l,cc4 vu na(p. What is her acceleration due to gravity?

  The radius of the Earth is R. At what df(iextmwccv ji:26pqcedqg) c,3:51 istance above the Earth's surface will the c,q5jqd c:ic:e6 vi3m1)2(xct gwefp acceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance abosn 5i7duf( .ptve its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, atdn(7ispu 5 .fs compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some us ..tyj72hdhplanet's center, the acceleration of gravity is s2huh.d7 .y tj$32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N o*:ql;cx uc8g1 o ywcle- o1 o7zl7if(sn the surface of the Earth. The Earth has radius r. If the object iso(uo 7lg7c-zx*c;eqofl iw18yc:1 ls raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of 8 qp(a1zkc)rl a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean 8k q1 rcazl(p)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 poin30okrs- *o xhft 3r above the Earto- orfhk 3x*0sh's surface. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth5cws+x*3d z( f 0cmgvy's mass and twice its radius. If a jar of peanut dz*cgvcf0 w+m 5sy x3(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 all lie on the same line,pmt+d wotwf094d :u+g5 4ghlf with the Earth between the Moog + :ldh4g p+0 9fw5otwtf4mudn 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 transported to the Moon. albb2gml) r55
(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 (ikb,da mt,klz(km/3 i*.e., it just skims the surface of the Eartht *k, d(mmk ,aik/z3lb). 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 Earth (i.e., it jus pq,o/;tne i: acr-if.t skims the surface eta -/i;fp.qcn,rio :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 sp* )ou9 emgz,kurface of the Earth. It is obseu zmg)9eo, kp*rved to have a period of 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 a *0jd1p(hytaf0i lk.1aof gs1 4u.bz, 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 oyadeky,kl fl,/;l fy3,1 sq2 p2 d4kaef Jupiter 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 nearly circular orbits. .2 l3tfuhk ,vxu :fi1p6ngo. p 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 take moon B to complete p3p fo1 , 6ngil2ux:u .fkthv.an orbit?

  The planet Jupiter is 5d,4cxl6 si.xbgob4jvje d+rlc (qop+:pi *0 $7.78 \times 10^{11} \; m$ 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 Jusyd/zhym k( a435a kb+piter 12 years to orbit the Sun once. What is the average distance sk+ 5zk yaa(yb34md/hfrom Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)