Is it possible for an object moving with a constant stth2ydv+ue q3e45v h 8peed to accelerate? Explain.e 8e2hu5+tvqth d vy34

  Consider a particle moving with constax8 m. 1d3fpjjoi if :*1iuif,snt speed such that its acceleration of constant magnitude is alwi, o s1ji*8udpf3 i f:xi1jf.mays perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare the direcj m;9hc 4h f5e+;oz0ibmkdrz.up :8 zxtion of the object's velocity and z r0kcz 5ed; ozxh4+:m phfuibm9j; .8acceleration vectors.

  When an object experiences uniform circular motion,zv)d7m75kqt ax: h6lv the direction of the acceleratv7:qkhdtm576 va xlz )ion is

  Consider a particle mo48s/ w)y/d)z0 0olrqibb 2s fdvlc;bpving with constant speed such that its acceleration of constant magnitude is always perpendicular to its velocis8)w04y)zlp c/0d / qlbbi o ;dbvsr2fty.

  What type of acceleration does an object moving with consobx l)cc p0f 3)mltz ,izuw)26tant speed in a circular pz)tp wmli 20lo)f6zc,ub 3)cxath experience?

  What force is needed to make an object move in w+( khq 5r;rif a;cez-ula*r8 a circle?

  When an object experiencespn1/e;kcz9uq v9v fl73zk)dw uniform circular motion, the direction of the net forcevkv 7c f9l/ ze91znq)u;k dp3w is

  A roller coaster car is on a track that fz8 5ryjhj4wivb/x dq2 m6ix ;4orms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleration at this point?j8;jdbm 5i2i xqhw/x6rzv 4 4y

  A roller coaster car (mass = M) is on a track that :k gwek5jg0b+8xx5 dm forms a circular loop (radius = r) in the j +g: 0kxmxb55e dwgk8vertical 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 dive then follows a semi-cif40xpz( vvz0 w34yq jqrcular arc until it is going straight up. Just as the plane is at its lowest point, the force on hq 43z0q( vwzv 0fjx4pyim 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 radiusicx) m 9.t:q0smb: dr8 gan)at $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of radiu4 /whlulc t2b)3*chsodk2 y. gs r at a constant speed v. Then it goes around the same curve athc3y c)*dot4sg hk2u/ bl l2w. half 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 curveg .(vsq 4 ip.dc+viixmq+kalq 9*yif(2 :,tyo 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 curolx*.pgi4c+dqt i:+sqyykiv( f, 2 v.a m(9iqve, compared to the first?

  A car of mass m goes around a banked curve of radius r with speed v. e27 vqdgt2g papo1 b9nz(er68 If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal force7qe8d bevn rz 1g9a2pg( p62to on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled rqke;e ,0rk 0r ,rwvjj00w h.fdun are 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. Wh0,r0e;k rk ,.0w erj wfvdqhj0at is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympi00vn*o kn p6jnax-(k 1p tklc,c bobsled track is not constant, but increases upw,v(k*np06tx1 -k pl n0cankojard 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 at bda; l;xf:arx6lnjvad /lw b*1/( 7bn object moving around a circular path to have both centripetal and tangential ad ;/ta*rdxf1 a/;x7( alwlvbj6lb n :bcceleration?

  The gravitational fog6dict,3 sb)vno9*r krce between two objects is proportional to

  The gravitational force between two objects is inversely propa4lvq9ro0l (uortional to

  Two objects attract each other gravitationally. If the distance between their c)hcu+n,mur( +v cilfrw79p e7enters is ch )m9euun 77pr(w rv+lifcc+,ut in half, the gravitational force

  Two objects, with masse ny20n4 3bax-iiysvjy 6hkw.-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 masj(g+puate8b. ses $m_{1}$ 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 grav:rf0rl y( 9dn e) o92pb5xtecuitation.

  Compared to its mass on the Earth, the mxc(x14p 35tthi ym,g g /,eeduass of an object on the Moon is

  The acceleration of xuhatw5io5 7i8h x5t sb;82qjgravity on the Moon is one-sixth what it is on Earth. An object oxq2 bji 5o;8atis75t hwu8x5 hf 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 u vwsv.1 9)yuq /txta)x4l9pdweight

  A spaceship is traveling t d axu3f) 5eq1bj9go8gy cm*.no the Moon. At what point is it beyond the pull of Earth's g3 85xdb agfoy q9.umn*ce1j) gravity?

  Suppose a satellite were orbiting the i z nxf)i*zu4:Earth just above the surface. What is its centripetal accelerationiz nx)u*f 4zi:?

  A hypothetical planet has a mass of half that of the Earth and a radius o pw/byl/b:e kzx)d*6j* s ie(iv:t:u xf twice that of the Earth. What is the acceleration due to gravity on the plk :bdw *x/i u:i(ys:6eb p*) jvtzxe/lanet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity 9bo5x(utw6n f/ky m2yon the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Eartx5bfoyn 2k 6mw/(9yt uh. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B has twice the radivw, .c(7vrz h op.;cisf4i4s kus of planet A. w.s.hp;virv ,sc4 fkco (i47z If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravxruh;8 xgt frkxt+mc5) ,ivkc9c6k: ,ity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius ocx,t5urgk v, i+ 9:xckx;r) mkc68ht ff planet B?

  Consider a small satellite moving in dh74*lguup(wa mw7 l e:2k.xx6uti*ja circular orbit (radius r) about a spherical pm(u7llgj**uh t7.:e2a kxup4xd iw6wlanet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, vj 7ybdzqdm)i ;4o l+;and rotates in the same orbit. Compare the two satellite's speeilzqdvjo;m4 ;b +) y7dds.

  A person is standing on a scale in an elevator accelerating downward. Compaa+i 7 3xge*cbqre the reading on the scale to the person's true we*b3aie gqx+c7 ight.

  Who was the first pebaj7,f pf6kd3rson to realize that the planets move in elliptical paths around the,fjpbf37kd a6 Sun?

  The speed of Halley's Come6mlyz*hze 8rj;*.hc et, while traveling in its elliptical orbit around the Su;6e. hj e*zm*lzhry8cn,

  Let the average orbital radius of a planet be R. Let the orbital m.(v *as) opjzperiod be T. om s)*pj.z(avWhat quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in n6;vex9f6fx z kain49the galaxy Andromeda, 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 that new planet be, compared to the Earth's orbital p i;nv9efxz fa46 k9n6xeriod?

  The average distance from the Earth tz/p s2pu6az 9* pm-jzyo the Sun is defined as one "astronomical unjm*sp apz z92-z/p6yu it" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.9 ;y/ folk2ocj

  List the four fundamental forces in,x- x+u ejjrpkkx8pq *ms;6h1 nature.

  An object moves with a constant speed of neo 8to29u+cp s:vjw330 m/s on a circular track of radius 150 m. What is the accelerj2cte:+po 3w 8o unvs9ation of the object?

  The maximum speed around a level curve is 30.0 km/h. Wr.jnp /5 cn5ag:s;tothat is the maximum speed around a curve with twice the radius? (Assume all other facangjorpt5 ;./ctns5 :tors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a bic75 *p1l+ioxe4o)fsx8etb ypn8 a ,cxaycle wheel of diameter 70 cm when the yl8eooxx)847 nbc,a1*+f e5p a s xptibike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s j07 qv6t*hnjtis located 0.200 m from the axis. What is the centripetal acceq *j 0v6tjt7hnleration?

  How many revolutions per minute must a circular, rotating z3x)jwi s,z+a space station of radius 1000 m rotate to produce zaiw+x3s, )zjan artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius t9xjnmy l6 s.3xurn at 96.5 km/h. What is the centr963ly xsxjm .nipetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m str,h y4whodoir 8e409euing. The system is whirled ieh 40o 8ud4,ro9wh yein 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 string is not to break?

  A stone, of mass m, is attached to a stre;ph9 eqrofua g4 w+zz(06c:gong string and whirled in a vertical circle of radius r. At the exact top of the path the ten+6gw(cz ra g;o94:0qpuzeeh f sion 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 an a3 zi/ f4nw,5spih2ottached to a strong string and whirled in a vertical circle of radius r. At tispi /3n4o z wh2f5,anhe exact bottom 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 jet plane flying 600 m/s egd6x,pm +8ukpqj- c)e xperiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in whichd,8cge)6kx j+- uqppm the plane is flying?

  A pilot makes an outside vertical loop (in which the 6;bk x (iwmf7jcenter 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 weight. How76bm wf j(;xik fast is he going?

  The maximum force a pilot can stand is about seven 9xcx b6f.u)cppoz9 x8 times his weight. What is the minimum radius of curvature8x96b. c x x)zpfuoc9p that a 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 the tp /m6z5m:z izb./thu tires on the verge of slipping. How fast can this car round a zp/ z:/tib5u h6m t.zmsecond 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 of 20 m/s. n h(7dv.hf,uvcnvyvo5 e9;/yThe centripetal force providedn vv; dh,vhfecyv5 (n9.o/yu7 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 o )mw.4bnhykhz s2l+lu8v: 10zkb jxy;f 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to make the turnk v.4+)y uzn0ym s18wjzx:l2l; bbkhh ?

  A car is moving with a constacl -u4rqq8 vs,nt speed v around a level curve. The coefficient of friction between tuvr 8q-cqs4l ,he tires 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 required8jkqf)5wyuq o8l 0u/m for an Olympic bobsled to negotiate a 100-m radius turk)yq5ojmqu 0 8 u/flw8n at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked 1doa.x + nqa )kne (f1-svj2grat 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 otl* ;efjvnt 4s: ie3-k)1zu jkf radius 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bankedegtid m17gd(+b1k zs+ 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( 3x*iykdnlro8zm +xy(gnjzn139. d:f * chdmle of radi1hzk+. rdxx o3( cn8 *yngy l9(jz3indf* dm:mus 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 rate toid(s qi)1n ib. a speed of 45 m/s in 15 s, moving d.s )iinb(iq1on 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 of a proton of wg:3 i9wbrt ;tlpse 43mass $1.67 \times 10^{-27} \; kg$ 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 forcey le5 gpt(ef 3eh:vq5;+b o:q :hkzsi; on a 70-kg person standing on the Earth, due to the Moon? ktyvfozb;:eh 5l:s ee ih( q;3+p:gq5 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 thjn; i8df.3kv.,d rzeq e masses are moved to half of their initial distance, what is the gravitationalf;8nej.,diq 3rzk vd. attractive force?

  For a spacecraft going from s3k 5r8aly3xan7r8znthe Earth toward the Sun, at what distance from the Earth will the gravitational forces due to the Sun and tkslx5yzn n33rr7a8 8ahe 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 +;fa4po +ea mgp3nk+)flbhy(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 "oxgnfjqj 7fm40nu2l t)hm2m. a g 7)u*p9oc:h space-walk" at a distance above the Earth equal to the radius of the Earth. What is her acceleration due tmxqu 2njghl0n.o 77gu))aj9 *ff4m 2op: cmth o gravity?

  The radius of the Earth is R. At what distanc0u2t6 yfiu b55a tzlf+hw.m.bt vqk 22e above the Earth's surface will the acceleratimt bf.bk2620tf.v+w25z tlaqu5 yihuon of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surfacs v-g9-y etkw)e equal to 3 times the radius of Mars. The accele)s-twy e-9gkv ration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km x(g(d uvod/f9dk9sb ey, /bl 0from some planet's center, the acceleration of gravity is b s/ dlvd9gb f /x0(d,eo(uy9k$32 \; m/s^2$. 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 Ea5 9ypj 55uzr2ewkq96 erp t+u+mg i8qxrth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is its2rq 9 5pi9x kq5gzr utyem5j86 +pw+ue weight?

  By how many newtons does the weight of a 100-kg person change :40cvfc xad .to83lov when he goes from sea levec xvalv f:.t034c d8ool to an altitude 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 is at a point 3r above the 7pkvpj78fu l 1/mdrz,Earth's surface. What is the satellite's wei1 uk/rpmfz7l,vd 8j7pght?

  A spherically symmetric planet has four times the Earth's mass and twsp.,pox v0xvyd**4n dice its radius. If a jar of peanut butter weighs 12 N on the surfaced*0v dyvxnposx.,*p 4 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 lin9uu;xd ru--jbf+ : tode, with the E9dr ;ou udt --xub+f:jarth between the Moon 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 ballh/oas m )2iqe+ 6rk6pmq*7hpx is 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 orbit about the Earth (i.e., it just skimszp)-5 dah pjy -6oun+f the surface of hj a-zp)+p5 f-d6ynouthe Earth). 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 aboutq)pvkup3/ il: /iwt9a the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolul a)39vpi/ :ki /wqtpution 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 sc :sy hg36se:the Earth. It is observed to have a period of e gs h:3ys:6cs89 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, has a tycrco oq7 ;l9,m o+/njy.3q lxtl8:dn 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 of Jupiter ol15by +leu*zn nwx03ru3: lnqrbits 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 plcx9 onp m3ws1(anet in nearly 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 d1 m(wxcpo9ns3oes it take moon B to complete an orbit?

  The planet Jupiter is al11 1 1 t*tgwc )u.(txy chhoop6vk/w$7.78 \times 10^{11} \; m$ 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 oncrhj5n4 rm+zq5e. What is the average distance from Jupiter to the Sun? (The distance fr5z rqnjm4 hr5+om the Earth to the Sun is $1.5 \times 10^{11} \; m$.)