Is it possible for an object moving with a constant speed to z+ysv;f+hh g0s2n3 cmv ,(ghf accelerate? Explaih3;v y nh+(+2cf0vs ,sfgmg zhn.

  Consider a particle moving with constant speed such qn.f-2ktmi / f2,keuothat its acceleration of constant magnitude is always perpenn2e.q kk,2 m/tiff-oudicular to its velocity.

  An object moves in a circular path :ok-lt nvnl 3.at a constant speed. Compare the direction of the object's velocity and acce ontl3l. v:nk-leration vectors.

  When an object experiences uniform circular motion, thl(7 uhdht7 l(3wnujpuiu0g5c a/ 57gge direction of the accelerat 0gclu7gn5awlh 5ju idu37(/phu7(gtion is

  Consider a particle moving with constant speed*vz bhcw41w7i such that its acceleration of constant magnitude is always perpendic v*w4zbi71w hcular to its velocity.

  What type of acceleration dao0j318.xgclo8n mfwoes an object moving with constant speed in a circular path exg m10cj8xfwona. l8o3perience?

  What force is needed to make an object move in a circle0t92iz h/bwad ?

  When an object experiences uniform circular motion, the direction of the net forbg4k(q/lte5z ce l/k qet zbg(45is

  A roller coaster car is on a tra.; l,b0tmd j7 9n9gmgo3bggln bk 37blck that forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the,g73t mggn9lb bbomk9lg l 07njb;d.3 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 trav,otss , 3+ajkyc4 -fack that forms a circular loop (radius = r) in tc, y3s4o,+ kajvsaft- he 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 point?

  A pilot executes a vertical divezc(g;q2 q agvogg u8/z9erjit8k20*h then follows a semi-circular arc until it is going straight up. Just as the plane is at ik(g;qtga/g9z 82io2cj0r z qvgh8*uets 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 s xz x*ocrbd8vbo1 -7:8my*m ccurve 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 speed v. Th.j5zq7ron)x ven it goes around the same curve at half of the originao 7jx5v)qnz.rl 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 it41 p(umlg ;dcd 4mb t0og3d/egqv4u0k goes around a curve of radius 2r at spee ceqpuggbldgmdtvd k 413 (4 4mo0/0;ud 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 of radius r with speed encp ;3p46pqhk(z3d vv. 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 e;phq c3dkzv4 p n36(pto

  Two horizontal curves onc.-:xwwx g+i bajgj+2 a bobsled run are banked at the same angle, but one has twice the radius oa-ijg:2+b.gcwxx w j+ f 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 larger radius curve?

  The banking angle in a turn on td zk0ez2g, al1zo*xt6 ya9h13joza5 the Olympic bobsled track is not constant, but increas*62ahto35z0ea1oyjtl 9gx,kz1za dzes upward from the horizontal. 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 object movi;ic 1*tn9bwrf1qe4xnxr 4p :gng around a circular path to have both centripetal and tangential awngi4q9*11rx 4ntb r x:;epfccceleration?

  The gravitational forcewvv jfruw9: f7y nx 7rt50*8un between two objects is proportional to

  The gravitational force between two objects is inversely proportio.rs): c bpkl/bnal to

  Two objects attract each other gravitationalbfm0;t.j 9 w nzx4dn*e0wat8qly. If the distance between their centers is cut in half, the gravitmdwbx8 90 n.4e qt*0z;wan jftational force

  Two objects, with masses /w4dsy/vyy4dtpi5ej+ 28 lwp$m_{1}$ 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 9 8 hntu9t01dffofn,isses $m_{1}$ 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 unive/*nn7t y 1sdoursal gravitation.

  Compared to its mass wv0uaa8pv ; du5rk9ucum/u/zfi :7p+on the Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what ithpf.jsp 90m/u3np:sx1yg 3. r ghll6i is on Earth. An object of60p hgj 3l.rusxgfi/h1 9 3pnm:l.psy mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away fue,x f1 euyt -*achr95zf0v)yrom the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is irw f3j9q*f(jzt beyond the pull of Earth's gravity? ( fj39rw*zfqj

  Suppose a satellite were orbiting the Eartl fodbq(r594i a f6wm7h just above the surface. What is itsfm( bl4w 7rai d95fo6q centripetal acceleration?

  A hypothetical planet has a mwqh90srvfb k-g4o 8 ytd+xs9) ass of half that of the Earth and a radius of twice that of the Eartf8xr s9oyvshqk+db-w tg09 ) 4h. 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-sixtchv3 vp37novv . ct:thw k:07ph what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass cov7hv:7 kt :p o wn0p3th.v3vccmpared to the Earth's?

  Two planets have the same surface graviajs k b1u)4p c5;gtd)tty, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of planes)jg1td)4a; t pkub5ct B?

  Two planets have the same surface gravity, but planet B has tw rz-nlgs u+ovr(6e-- hjgp:,yice the mass of planet A. If planet A has rahs-,unry :pjoe- (r +ggvl 6-zdius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (rad ww*b*uu*: uvuius r) about a spherical planet (ma*:v*u bww uuu*ss M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbitvqy dcj3iv i 9ns412u/sk4v9 k. Compare the two satellite's speeds.yi i 4k1/9 93dvnus2qv j4csvk

  A person is standing on a scale in an elevator accelerp y.n:i,i c ed ai91xwhkj6t7pyj52/uating downward. Compare the reading on the scale to the person's true weigh2h y iiyppk95w1j67/ j cx:eatd.,ui nt.

  Who was the first person to realize that the planets move in ellidm8/bhdktf(hu e7 1;a h428p7 fmezutptical paths around thfu/; 2u1me4dpd 7thhmahf kt8b(8 7zee Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit ar3jsb+ m6smm1bu my.-eound the .yu16 m b-ssm3b jmme+Sun,

  Let the average orbital radius of a planet be R. Let 0n bs965qqho8o- fiarj, obc4the orbital period be T. What quas6,n bocqoho80 -4jab 5qif r9ntity is constant for all planets orbiting the Sun?

  A planet is discovered to vhgozq .or 9hif/q-- 3orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If thav--9ho.fhi ozrgq q 3/t star 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 the4 srpkis1ob+8qd2; r+vzh9l g Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's ;pso8s4 +2g+iqd1z9kbvl rhr average distance from the Sun?

State Kepler's laws.(n ; vaai9ab07mlt7h g

  List the four fundamental f mnybz5+e4nih fddog- 5k x, tgq)h)23 ;e;pbmorces in nature.

  An object moves with a constant speed of 30 m/s on a circular track of radig 05cxd+ ;pyf 5yz+igcus 150 m. What icf5cg ix5g+dyyp; +0z s the acceleration of the object?

  The maximum speed around a level curve is 3r ;-o8uearv+19ga 9 ,wwtmbku0.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remainwmebv + r-t19uu roka89wa,g ; unchanged.)

  What is the centripetal acceleration of a point on the perimeter ofl+yo1 y8 jg90e popr. mfldp;ijkzu)/-iv :)g a bicycle wheel of diameter 70 cm when the bike. z1j+9iiejpy l0p 8rpvgkuyg/d) )o ;: molf- is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axis. lcq m951ms5lu What is the centripetal acceleratiqs9mlu ml55c1 on?

  How many revolutions per minute must a cir0/j*dd s6g3yct6 jf3; n drmxucular, rotating space station of radius 1000 m tnd6y rfd33 gumj0sx ;c/dj*6rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. nnfwt0:g) xcny*37 w s, b0ns)jaim+re( eh9wIt goes around a 13.7 m radius turn at 96.5 km/h. What is the cent(e* 3j 9we)cbsrmg7n w:),n0nhywt x+naisf0ripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of e3ygk,ba +4on a 1.0-m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand is 35 3e4 gy,+akobn0 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 (o6cu4dc 7b. ,ypiffp in a vertical circle of radius r. At the exact top of thdpb (o fcc y,4pf76ui.e 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, o:3dzjkjf /)u is attached to a strong string and whirled in a vertical circle of radius r. At the exact bottom of the path the jz3o fj :d/ku)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 mq eg+)mtiyb6;v, c u-acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop;m,vb)uc g+ym -it6e q in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop is benea v.fyoxso)z00th him) of radius 3200 m. At the top of his loop he is pus0vys. f0ozx o)hing 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 weig9e**q/ owa6. *hoxrw(hr*ib jloa296vv qpr sht. What is the minimum radius of curvature that avr 9/qb2ohrp*lvww*6o q *io(x e6s9.jarah * jet plane'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 curve with t0 c.v x a2rsk2w4lm*fvhe tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the sasvl*cfxw 2 ark0.2mv4 me coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m wit-6j t-9y gurnw*vkg d7h a speed of 20 m/s. The centripetal forcej-g6nt9 y7r-* uvkwd g 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 m3bczu3z)nat(k 0o(q at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the roa0 mk)zcq3 onu(b3atz (d for the car to make the turn?

  A car is moving with a constantd:,d1 nt/ vf, cohp;il speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if t o/1 v,ifhn,;pc:tlddhe car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to negotiate apq7 i/-j sc(,kcvt v((o(wvqo 100-m radius turn at 35 m/s wivv qo,(q/w i cvs((-(7 okpjtcthout skidding? (Ignore friction.)

  A horizontal curve on a bobsled r ;r0+ix 4ec9oxbxc c2h. j8bwiun 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 opio 6d9y,-; gy8louc :eb;nwof radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m v+p+ c9sqe+pf 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 revolvl:6gly z451;jy lo fvying uniformly in a horizontal circle of radius lyylf6jyvo45 gz1:l; 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 uniform ratdj j,;y0+zd(wz,s ugi e to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (o,j,+;0 wydjzizsd(u g nly 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 of a cq,lt )jl :2puproton 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 standing o);:rf it5umdo. y.vtyyt zk 2f sw,y::n the Earth, due to the Moon? The mass of the Moon istf tyuoyidsy:2,:w .m). kf r;y5 tv:z $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two massyq)73z09)xb jfjvu .7jt e 1 j+rlkgares is F. If the masses are moved to half of their initial distance, what is the gravitational attractive forcj9je)vq3ax gu +1r)r70j7jk.z tflyb e?

  For a spacecraft going from the Earth toward the Sun,baqk/wi/g +y t )j(eu6 at what distance from the Earth w(g e kij6 +/wu/y)tabqill 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 isk: .ewqapenx3)oht-0v 9 - wnj $7.4 \times 10^{22} \; kg$ 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" a 7j; b 1vzr .of:r*vly8ncim7lt a distance above the Earth equal to the radius of the Earth. What is her acc *:y;r7om v rcfv18nilj7b. lzeleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth':fwae u ly 0 wn.*chv-4tyb:,ms surface will the acca-.f:v wueyh*m bwl40nc:y,teleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles .y:v5i *xxm e+kgnoo 0Mars at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the sx0kn .i*yo+mg5 vo:e xurface of Mars, is

  At a distance of 14000ya6aqh 1tv,n*xu7vis5lek/ 5 km from some planet's center, the acceleration of gravity /6yuiq,v7*ta55 e s nhklva1xis $32 \; m/s^2$. 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. xxa-ykz,4..soi3nz dlv vu .;The Earth has radius r. If the object is raiseds-.iau4;y.lz, vz xodnv .kx 3 to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person cs8l /./zdo gbtfcan*9hange when he goes from seags cz*db/f a8.n9ol/ t level to an altitude of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. dff9- uvgpev-ha* z2 a/np7 d3A satellite of mass 100 kg is at a point 3r above the Earth's surface. What is the satell2g anp *p9uv3z feh- fv/a-dd7ite's weight?

  A spherically symmetric planet hak2gf16xd ,nxm+) mv zjs four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surfacejmgm,z 6d12x)f n kxv+ of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and0uhegmx+(3 yjl wmy/4 Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moowy l 4hxuge3 0m/jym(+n 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 is5 ce- b-v py4eu7x-lfw 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 m* .4 rxpr1q0 svqht )llva;f8circular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellivrq;)*s. pr0almqvxl8 14 fthte? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit ab1x r8 rxvnurzh9g0u+w,2 .kgwout 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 mean radius of the Earth n 91wux w2,k0rzgr .x8+rughvis $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of thrh0kq3u .6o(tpqj/mos .rrq9e Earth. It is observed to have a period of 89 min. What is the mass of the Earth? qm.or soj9tpr0kr (h/.3qq6u(The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter :, n6k ,8wvaa-oqrll2wt c lf)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 radiuj*2troaufi ip; ; 9iz(s 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 orbit +gt1 ,z+qd((a tqgjwdeb xq(3al radius r, and moon B has orbital radius 4r3twqtjgxd (+(q(qd gze,+ 1ba. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter i/ 3 :qejyk03zjfp 8mtfs $7.78 \times 10^{11} \; m$ 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. xi+jw4em .3v4mndy q6ro ;cl,What is the average distance from Jupiter to the Sun? (The distance from the Eartyd.x+lo mnr 36i ev4,jcqwm;4h to the Sun is $1.5 \times 10^{11} \; m$.)