Is it possible for an6ev;7z : yhgkss:o)ne object moving with a constant speed to accelerate? Explaihs: vg es6)e;z o:kyn7n.

  Consider a particle moving with constant speed sucr,s;kk q97, is.iwj+)gyqic nh that its acceleration of constant magnitude is always perpendicular t. knik7, i qysi+ qw,jrs)gc;9o its velocity.

  An object moves in a circular path ataxd/n4ou7 2jz6ba 2o u a constant speed. Compare the direction of the object's jobu axn2z26/4 oadu 7velocity and acceleration vectors.

  When an object experiences uniform circular motion, 8qj) ib a 5mp n,jhcrzif: rs6ms: -y7y2i./hgthe direction of the accelera6.b :ip-jsrfn 5,8i /iqg hm:2jm7syryah c )ztion is

  Consider a particle moving with constant speed such that its acceleration of cm m78b. xhkd2xonstant magnitude is always perpendicm mxd 2.7xbhk8ular to its velocity.

  What type of acceleration 7su1neby9 0i2/ d yytl*a7p tow7xe8 31f fezqdoes an object moving with constant speed in a circular n0 3y7xwl 2qtboeffes* uzdy98i 717ep 1y ta/path experience?

  What force is needed to make an object move4b ovyjv( t++e in a circle?

  When an object experiences uniform circuhz* n2i4 nv;m zm7z7m+ttdef+-wfwa- lar motion, the direction of the net forcez +f*dz +twn2 t;mwv47- zife-7mmhna is

  A roller coaster car is on a track that forms a circular loop in the vertical ptdsh f4187) zogam zt1lane. If the car is to td1147z8) gao zfstm hjust maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mases6wp7 6zj,lb28nwj m s = M) is on a track 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 lj m728pe nb66lw,wz jsoop, what is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-p ,6vxvs0z9xd;+padzcircular arc until it is going straight up. Just as the p; 6vxdszx zp9vp d0a+,lane 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 rvq2docah:4mzdx + :eixz ,.9iadius $r$ 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 atfrdoj e8:i0y;d/a0e y a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal force on d0f/ rd8;e0ayo yij:ethe 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 kj p s8a5liu ozl)4/m1v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on theipk1 /ls m4oz8)au5jl 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 roag2 q:)lqhrv3 jd is frictionless due to ice, the car can still negotiate the curve if the horizontal compon )qjl32qrh:g vent of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are ba9r z wop)g. fj79brh)yv;vgj4nked 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. What is the safe speed on the larger radius cu ph9brzrjjg .f ); 4voy)9wgv7rve?

  The banking angle in a turn on the Olympic bobslvzueq02k +gtsb n n;,;ed track is not constant, but increa;e vz;qb,n tns0k+u 2gses 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 d2dahx6 qcv94 moving around a circular path to have both centripetal and tangentaq 6hc9dxd42 vial acceleration?

  The gravitational force between tlwgwfti + (7x7u.p loh(9 87vrxz p7scwo objects is proportional to

  The gravitational force between two objects is inversely pro o-0y9uidn1 zsk9a9xjportional to

  Two objects attract each other gravitationally. If the distance be5gb*ogj 8 jwvk(w)p,( (supontween their centers is cut in hal8*oo 5ww nv(jkubpsgg j,)(p(f, the gravitational force

  Two objects, with masse6r u 4 cxjeo.abx4ru0*s $m_{1}$ 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 macc0vad 91h u 1(:lzgg-gdw *mksses $m_{1}$ 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: t hw/+pt,;a/rrr,sr);cs w c3zvfhngr4 x5e universal gravitation.

  Compared to its mass on the Earth, taq* dusx+4i(sv x-9 ujhe mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it3z1f4 dxkhu1* wlic 3h is on Earth. An obj 3k3i*1z hd cxfwhlu14ect of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket's weig7o yqh4zy1vm 3ht

  A spaceship is traveling to the Moon. At what pointz ;*hgz,xp9e6wit9 g j is it beyond the pull of Earth's gravity?zgw99z6 , tj;*gei xhp

  Suppose a satellite were orbiting the Earth jz4 y3oy w-yfg kpan8 lu+g5e,3ust above the surface. What is its cee 58+gzflayo - , uwgy3n34ykpntripetal acceleration?

  A hypothetical planet has a mass of halgp -fnlwfdokjx ++i/-/s o/9gf that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity ow/+xgk-/d+lg-on9ff/ipo jsn 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 is on Earth. Thow3e r.)dh.gk e radius of the Moon is one-fourth o 3grke.d).hwthat of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet Bn+:nagr9;y73)ml3n ivwo mes has twice the radius of planet A. Ifymneia)lnw+ no ;:sv79 3g3rm planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet :mzv+eh kfti3x 5-x-aB has twice the mass of planet A. If planet A has radius r, what is the radius of-iavfx-m z +:kh3e5tx planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sp0ab *o5an6tfj l:ub(eherical planet (mass M). Which expression gives this (bfn6 0e 5uo*a: btaljsatellite's orbital velocity?

  Satellite A has twice the mhc aswq; h6ivi,ry*q pv f+2;1ass of satellite B, and rotates in the same orbit. Compare the two satelliwhf yi,6 1cv;riv2hsq ;+qp* ate's speeds.

  A person is standing on a scale in an elevator accelerating downward. Compar t;ebkw c7o0bk+ 8tl6le the reading on the scale to the person's true wek7oe +8tw;l06bktl cbight.

  Who was the first person tn ya*rpohn*hf092 ujz o7,v*go realize that the planets move in elliptical paths arou fv ,o yoz97nr*njg h2*0*puahnd the Sun?

  The speed of Halley'stu7q.a d4hze + Comet, while traveling in its elliptical orbit around the Sunudt zq e4+.a7h,

  Let the average orbitalc24j6, 0atwtr z(irg-wkguoei0cq2; radius of a planet be R. Let the orbital period be T. What quantity is constant for all planets orbiting thez rjr,-c eq0(t2;wkit46cwgg0ioa u 2 Sun?

  A planet is discovered to orbit around a staz+c;phq v7bk ys (d.1xr in the galaxy Andromeda, with the same orbital diameter as the Eb1;p zh xd.yc+v7(qsk arth around our Sun. If that 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 the Sun is defined as -+v vjslg(wk. one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a yekvg+.w j sv(l-ar. What is the asteroid's average distance from the Sun?

State Kepler's laws.1pskgh6 g+.up:e-iaf

  List the four fundamental forces in natuw rhnwk;l.pxk1n+s-., ct k1nre.

  An object moves with a constant speed of 30 m/s on a cqdy9the obck1j se*u*9ko i p8l4( *8circular track of radius 150 m. What is the acceleration of the obh*u 4c9l1ob 8e(*s*c9yiot8ejqpkd kject?

  The maximum speed around a level curve is 30.0 km/h. Whatqz5 t 8vbxmh irk94glm(l60*y is the maximum speed around a cum vtl6(k0 r 5ly*qmbi8gh94xzrve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal accebusj) s m4ooa:h(w0 a7xam/e 3leration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike iw :s04mbxa s/maha(ejo 73u)os moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the arvf4 9urx87;kpaz6 e7vh 7whixis. What is the centrip8ru9ear6kv; fpzwhvi 77 4hx7etal acceleration?

  How many revolutions per minute must a circular, rotating space station of rj qt2hf0 ;t ap-z,oy+cadius 1000 m rotate to produce a th +-z pyof;tq,a20jcn artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goe46ichzi hu/u /9xud6e s around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motorcycle?u /euz9c4id6 /6 ihhux

  A 0.50-kg mass is attachcy o uz; vh 7+3vdko2; *5gdvzatb:)gjed to the end of a 1.0-m string. 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 of the md)do:t;vzh gko7vyc*;2zjvbu g+ 3 a5ass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whirl629aj xij ocz4ed in a vertical circle of radius r. At xjoa 6i9cjz 42the 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 a strong string andh1+ys*e l0 qx .ghxyp) 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. ylxh.01x+yp s* eghq) The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences antx4uk9le p p(+ acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the planee4(l pu9 t+kxp is flying?

  A pilot makes an outside vertical loop (in which the cen97qt fsyt4;ja ter of the loop is beneath 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 wei49 7sjt fqt;ayght. How fast is he going?

  The maximum force a pilot can stand is ez5,oyz;p g * :1d2ypa3uoxxd about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a verti23oyyxxgp,:*dupa z 1ode; 5zcal dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m rza)g v t76pog*adius horizontal curve with the tires on the verge of slipping. How fast can this car round a secog*otzp 6a)g7 vnd 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 radnykn*hubct,l 2lr1 / f 7e6nn2ius 50 m with a speed of 20 m/s. The centripetal force provided by kf hcbn nlten176/lr nu,2*2yfriction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a fl73ou d(6p5u xz3qbblyat curve 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 make the turnz3u p(bx5 73dulbyo q6?

  A car is moving with a constant speed v around a level curve. The coeff+c2ooplk3g 8t icient of friction between the t+clg3t2ko p 8oires and the road is 0.40. What is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bonf8ocvma 3 l,:bsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore fricti,3:l f nvcom8aon.)

  A horizontal curve on a bobsled run;k6g022*x4qnabex mk1r wr rs 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, 4c;l.fo8h mfrc.3i w xbanked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m ffshc 7h ) woe;nq98a/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 h 8h6z 2g8ctgfn q6um,borizontal circle of radius 06hq6gm b8 f ,ctu2zg8n.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 acceby )swe4vu-dkcna 2 61e 7hc1mlerates 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 b42y6uwbde )1n m7 cv-ec kh1salanks)
(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 protwy2;/i8/ p yoqmmmj6hjf xtg+:/b9nb on 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-kx0 g:.kouos ssb vw6d6z6 -+wug person standing on the Earth, due to the M w.xu66+kss s b:zo0w6v-dgouoon? 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 mas hve+dv t4,kn7ses is F. If the masses are moved to half of4e +ntv,dhvk7 their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance f1vws e+2fun4 nrom the Earth will thenw n fuvs2+41e 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 is kk v ud:i5i 3e*51)yzn;atxkk $7.4 \times 10^{22} \; kg$ 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 Earth equal t1yirmt f 9v;ypda:wf-d+.)lb o the radius of the Earth. What isfad1.p:yfm9 +t) y b dlir-;wv her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surface wil2cg dnu1e3b8c 4.ok pxl the acceleration of gravity 18c 2kng pedbo.3c4xu be $4.9 \; m/s^2$?

  A satellite encircles Mars at a diqdt3/ s0jna6zstance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration6q03a tz nsd/j of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the ac3zh z+8e768mw ola fazp to) d;jrd7f:celeration of gravity is f7 6lw 8po ;:zfthzoj8dm) +z3ea 7rad$32 \; m/s^2$. 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 radzhswv767kt5f /k7 .pq ml +d t z*,c/g2drdltiius r. If the object is raised to a height of 3r above the Earth's surface, whk/gc vz/ +lmhtt ts77il6*pw d5 q,7r2.dfdkzat is its weight?

  By how many newtons does themb 8 dtj-q+wcy(n)qf/ weight of a 100-kg person change when he goes from sea level to an alfq-wq+nd(mb8/ y tcj)titude 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 q)4bar a *s/fo:,oha kis at a point 3r above the Earth's surface. What is the satellite's o:*/a)qrsao ,4hf bakweight?

  A spherically symmetric p6ke tve8 u 0tc+png5q3lanet has four times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the 0p qn 3e5tektgc+6 uv8surface of this planet?

  During a lunar eclipse, the Moon, Eart nqa9yz3f/u haqa-)i1h, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a masai /f)nqy-9zh u 1qa3as 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 4isfb jkg 7w0-f:od+ jtransported 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 orbit al2idix tkj gkz;c004ak4dm 14bout the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellite? (The mea4m2 cka1k4 4x l0;gikdj 0izdtn radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e., *a*qqeucr2:cs7 1v3b c+shppit just skims the surface of the Earth). How long does it take to make one revolution a p2q: u*hsv s 1qp+7crbcac*3eround the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circh 4-xkx po(0. h1onbsuular orbit 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Ear0xsk(u p4 -bnx hoh.o1th? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an k.busumgde 81 fu/02horbital 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 radiud(pp7y .*owu) kbvlz/6 cpweu; .prh: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 hav ,d*c xtin; auv) acm(89xgydt7oc +*s orbital radius r, and moon B has orbital radius 4r. Moon t*dvuavcc)xn*,c;7gt xo8y +d(9i m a A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isq+ow/+zn1j1+ rx rhyg $7.78 \times 10^{11} \; m$ 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 t(m09 gdmt/*j nnjh9ld4 dhzo(o orbit the Sun once. What is the average distadm 4 ng9z9t(hd(mn jo/0h*ljdnce from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)