Is it possible for an object movinf4vb1ig*vr klmwg0hc8)npz6v2 2g z (g with a constant speed to accelerate? Explainzfkwvvb224) 08n(v mzlh61ig cpg*rg.

  Consider a particle moving with constant speed such that its acceleration 06 x8ia px*dgqof constant magnitude is always perpendicular to its velocity.g8*xda6x pqi0

  An object moves in a circular path at a ;2mlx27oi67e1v urx msji+ey constant speed. Compare the direction of the object's velocity and acceleration vectors.leyoi7e;x62u +j xvim72s 1rm

  When an object experiences uniform circular motion, the directi 1 jj7:wp6folron of the acceleration i:wprfo16 jj l7s

  Consider a particle moving with constant speed such that its acceleration of conm pk6ie)su)g0x s3 a3tmdv0s-stant magnitude is always perpendicular to it)mg t03xsmu0 d)sse via- 3p6ks velocity.

  What type of acceleration does an object moving with conn3)8l5dv5,ndsga pk estant speed in a circular path experience gedd n)ln8p,5ka53vs ?

  What force is needed to makern 6+d3 y,gp(yw0sdsf an object move in a circle?

  When an object experiences un1 n -7+qvmibfw1, guj+ja;yqjiform circular motion, the direction of the net force ivm1wi ygnjuq,j- j a7+f+bq;1s

  A roller coaster car is on a track that fory p3y8epvhr j+z;o2r)fv 8h*rms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop,hhv82prj er y o3 *v+zr)y;fp8 what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a t,1 mxo)gnl* vjrack 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 minimum val),jx o*vlgnm 1ue for its speed at that point?

  A pilot executes a vertical dive then follows 2 dla;0 4fl9tzgh t dqmm2he/5a semi-circular arc until it is goelh2g 0l4qtdm2f;thm/9 a 5zding straight up. Just as 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 radik:n51hmnj9zn q*n ye*oey /v 2us $r$ 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 aoi(x13 l11rm4ofais at a constant speed v. Then it goes around the same curve at as3 1xmf 1alo4i(oi1rhalf of the 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 constant speed v. Then it goes aros12kem ,g h,pu z6i56p 7rpm4lsbnx: kund a curve of radius 2r at speed 2v. What 6k4ps,sieprbmlmz g k:261, nhux5 7pis the centripetal force on the car as it goes around the second curve, compared to the first?

  A car of mass m goes ar;vn es+g)q 4ngound 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 o 4gnegn q+vs);f the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked avr+ ui1 yl9avf:j(y) qw;s/yw t 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 smallej rf9lu wyqwvvi y/:;+ 1y)(sar radius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled traclnjfdm5-y7:+n :b 4: brkbrtvwm ;rw,k is not constant, but increases upward from the horizontal. Coming around a turnf 4kj:r:b bw7r b,+n: rdytv5m-nlw ;m, 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 object movinuj6v: q gall7aad- 6w3 h8fm :,z9pcosp32wycg around a circular path to have both centripetal and taajvyhzc2wo3,7 :8dfgp a93usp l6:q- 6mwac lngential acceleration?

  The gravitational force between two objects is proportiovk++ok4k,a gdh/jo 7 unal to

  The gravitational force between two objects ow-n chn/) i -4s,ot fnkna/jj,t8ax: is inversely proportional to

  Two objects attract each other gra 3.w-1gq .c+7 vu jmoc-10pnbq/zgxg ygn)pgx vitationally. If the distance between their centers is cut in half, the gnv/7z-pb1gqu).comg yp 3cxg.gw 0q j1 +xg-nravitational force

  Two objects, with mau;x lyh lw8bc6 r1az9(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 ma bphlaflkwd 23kd*1ml ,66h2a sses $m_{1}$ 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 gravitation.eto xx )vmw(/0*bqq5b

  Compared to its mass on the Earth, the mass of an object on the Moon ef) w 7vba) mv40.zszkis

  The acceleration of gravity on the Moon is oniepp pz6e65 vx/:5gode-sixth what it is on Earth. An object e v5d/p5px:e66 zpo igof mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from 81pq *hye*qtlthe Earth's surface, the rocket's weight

  A spaceship is traveling tofkoh xpe h3p9i8hy6:p 5qpc66x k,3wz the Moon. At what point is it beyond the pull of Earth's gravity?kzepi x :ohywhp k8636x 9qfph63pc5,

  Suppose a satellite were orbiting the Earth just above the surface. What is itd/ 7kn -): /. o:juje4ud jlgfr3fimtys centripetal acceleratio-/4ktf:/d:em7g )j loi fdj.yuuj r 3nn?

  A hypothetical planet h/g fzyg,vg6fr g 6l(/py tt0-pas a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration ,v6g0 fgf-g /ytlg6p /zy(trpdue to gravity at the Earth?

  The acceleration of gravity on thi +e6 o8r *b)qkxqly:ke Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth k qx 6biyr8)koe+*lq :that 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 twice the radi 0jam9 5ng( c-iwofal2us of planet A. If planet2mla5n-fj c0 (w9gi oa A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice *gl dz 0d euu2x).l1qmthe mass of planet A. If planet A has radius r, what 0*qz1 )ml.uddgxu2e lis the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sphericv3fx9qi hkoh2- hcm55al planet (mass M). Which expression gives this satellite's orbvq-3f55ihho2xmh k c9ital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the sy+7s2/ufz .w-hsiao6)eext hame orbit. C+he 6yza 7o2siuefw)/t sh.- xompare the two satellite's speeds.

  A person is standing on a scale in an elevator ah4ixmmy*)l;v5r(e n ldb y1u 4ccelerating downward. Compare the reading on the scale to the person's trv1 b4; )hey rdl5(l immy4x*unue weight.

  Who was the first person to realize that the planets move in elliptical2 7qvfq *-*zq9wg( ujz-ksv x.e(mvho paths arqxmkvgo-.*wsh-*e2(7qvv z(j9fz uq ound the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbitu 8*4nuihsiu*j3 /sf:/zia+ cej xq/m around the Sun,jcn 4 mjie f/sxhu/q: z **i8+iu/aus3

  Let the average orbital radius of a planet be R. Let the orbital periodt:3 oqjl0jwt68 xdwb 6:hzxi0 be T. What quantity is constant for all planets or 3 08 ob0lj6:ihxqttww:6zdjxbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, with esote +3w;a/mthe same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will ;3waem tos+e/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 one "astronomical q( ,3*pla4x e ke ctdj+gbrl) (sfy:-dunit" (AU). An asteroid orbits the Sun in one-third of a yecf- x+ :ld*ytbsea(erd(, 4jl)pqgk3 ar. What is the asteroid's average distance from the Sun?

State Kepler's laws.fq9c*+ dfh c)w

  List the four fundamental forces in vy9 -c2)pr z6(gtv naumms4-inature.

  An object moves withk6rwc. fj io d/.af,e) a constant speed of 30 m/s on a circular track of radius 150 m. What is the accelera6ie k.,)f/d jacf.ow rtion of the object?

  The maximum speed around a t je5wfj 3n4twce :/4ade4qgm )0g(ihlevel curve is 30.0 km/h. What is the maximum speed ag dw j/g0jm4t3eqtheeaw fc 4(5i :4n)round a curve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on rz60i/0 fnij vthe perimeter of a bicycle wheel of diarnz0/iv 6f 0ijmeter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 f,z wcsz: -lf5rev/s is located 0.200 m from the axis. What is the cen5fzfs,w : cz-ltripetal acceleration?

  How many revolutions per minute 9o+h)v:qa wmsmust a circular, rotating space station of radius 1000 mvq9o:sm a)h+w rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It gq2nl5 f ;wv5vnoes around a 13.7 m radius turn at 96.5 km/h. What i;vv5l2wnq n f5s the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. Tt:k: dqeq m4g3he 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 of the mass if the st 3e:m qgtkqd:4ring is not to break?

  A stone, of mass m, is attached to a strong string and whirled in a verticalm:te 4wjf13fo circle of radius r.w4 :jftf1eo3m 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 tok4mxz+b q+o1 v 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 weight. The stone's spe q bv4mkz+1+oxed at this point is given by

  A jet plane flying 600 m/s experiences an accele ir n4nwc28 zjb*l,+frha,a/ sration of 4g when pulling out of the dive. What is the rana f, lwr*,/4b+i 2nc8hsa zjrdius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in whic-r om3o-2;72yybda +pqh.mzkvpj f j-h the center of the loop is beneath him) of radius 3200 m. At the top of his loo . mpy;y7 pb +doj2vf--r23aqjhzo-mkp 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 times his weight. What is uqt*y48 5tlcmr ty-ll7 .g 5;cjp r-vqthe minimum radius of curvature that a jet plane's pilot, pulling out of4-5 u lv;-r*8 yjrtcy.q lqgc5ptlmt 7 a vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the 9tz fgma(-xo;:dd ip.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'sagf - ;mxdiz9p:ot .(d tires and each road surface.)

  A car is negotiating awdqht9 bbjo 3;0 y20mt flat curve of radius 50 m with a speed of 20 m/s. The centrihoq ;w209jbby 3tmd t0petal 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 of 14 m(yys66. dnc am/s. What must be the minimum coefficient of friction between the tires and the road for the ca6d6myy(cs. n ar to make the turn?

  A car is moving with a constant speed v around a level curve. The coeffi az8bs1m3jsvi,s/ 8 vicient of friction between the tires and the road is 0.40. What is t sv3v18simas8/zjb ,ihe minimum radius of the curve if the car is to stay on the road?

  What minimum banking angjhw-bu 41y2 ftle is required for an Olympic bobsled to negotiate a 100-m bhw -42ju1fytradius turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked *7e.k eapnbn1dze ;c- 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, (fv4gx5,8yhq dtwja iu6 ax :m h7f0*gbanked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is f 3bb/ dq*z.)gt m:)nyaoo6pobanked 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 ysc9 rlxn6 ouc)s. .y8horizontal circle of)oy lu8c6..xy rssc9 n 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, a race22 8 w t0iblb*lpua+ii car accelerates at a uniform rate to a splp iwli28 u+ib*a02tbeed of 45 m/s in 15 s, moving 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 cou x *pxnt4 aq 6io1v.6vhq9a4snsists 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 foryvi z1wfa.8ajv3r0nx )tt 1 lebk0x7 4ce on a 70-kg person standing on the Earth, due to the Moon? a8fntbi 3.7lj0)avrvtzxk 1w14y xe 0 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 arexr q/i lgi,3 s1m5eaaxv ,wu/9 moved to half of their iniwia195 vxam u3rgis/leq,x, /tial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at whatjs1g/1a wx8:i,tvs bm distance from the Earth will the gravitational forces due to the Sun anw8vs1 a: ij /bg1m,stxd 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 +2ibx e8qfh5l1v5dpv 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-walzazz; d+ n)m hgwk6s/.k" at a distance above the Earth equal to the radius of the Earth. Whg +ka)n. dzz6zsmh;w/at is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the7qrjq5 mq8xl9pj48a m Earth's surface will the acj8mmp q8lr4j5a97 qqxceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above ity t/nc3-jyfk: 4ut7)a fa7vqy s surface equal to 3 times the radius of Mars. The actjan-/ y a:3fkv)t7 7u 4fqyycceleration 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 some planet's center, the acg4 h kjw;ljp0mp*zgf5z x0,2 li( bdh,celeration of gravity04h5jb2xg ,zfz 0plli;pj,m (hgkd*w 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 Ear2q yk oh/0l66a finr6dth has radius r. If the object is raised to a height of 3r above the Earth's0o idfq2lan k66/rh y6 surface, what is its weight?

  By how many newtons does the weight of k3za(w c +i9rha 100-kg person change when he goes from sea level to an altitude of 5000 mwzrh(+k3a c9 i? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius ;ks k0dxqh2ubk5ih*ib y8// er. A satellite of mass 100 kg is at a point 3r above the Earth's surfaceky;kqu *es/h ii5 0kb/8x2bhd. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and twice its rad r(mivcv//uv.bnx *6 dius. If a jar ndivvvc/.ur/6x(m *b 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, an6fcc6a. pwv+ld Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon hvcpawc l66f.+ as 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 i;ocl2zz8 k;lwext /h5 s transported 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 or8gdzp awwqe/a* 1 qw(0bit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mean q1wqa wzd (0 pe*g8a/wradius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., it just s kl r-kd6)n gkw8.w0+bff-hsbkims the surface of the Ear6ffb--wk. dh0rbs )w kl 8gn+kth). 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 thndqe: kw7 )s)h;/dgs te Earth. It is observed to have a period of 89 min. What is the /h7 d;s:s)kd)nweq gt mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter gz7 hazd22t) r6dk wcbwk8y*s(:r(fx of $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiteroksb-+v50gnx16h0 cjmv6lnx vv; 0xo) e a qs7 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. Moon A has orbi4 rhqbd+) *kgltal radius r, and moon + q4lhgdkr)b*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 is8ld6-j8aktjh8 o-o m h $7.78 \times 10^{11} \; m$ 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 kjou hx fvc uop)71i5cg7::/ ato orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from the Earth to the Sun iscvo: pcuguhj57/7 i)akofx :1 $1.5 \times 10^{11} \; m$.)