Is it possible for an object moving with a constant speed to accelerate? Ezc qyp1 ghg3eb * +sr1,uj)a4oxplai qzhgg)34rea*, j1o+b puc1ysn.

  Consider a particle moving with constant speed such-f 8fejxfn2 6n that its acceleration of constant magnitude innjf2ef 8- 6xfs always perpendicular to its velocity.

  An object moves in a circular path at xyh4d0 ( zzn( xg (s;,sq gcbn8sdmm/8r k(s1ua constant speed. Compare the direction of the object's vel(d4x;srqcd(n81 z bx/m8 sk0g hnz( ssy(,ug mocity and acceleration vectors.

  When an object experiences uniformj7zua, i8nxwe8r ks 8 u4t1en6 circular motion, the direction of the acceleration is, z8eeuujas71n i486 xt8nkwr

  Consider a particle moving with constant speed such tha 5s8 fdhbfarlw+zg27 +t its acceleration of constant magnitude is always perpendicular to its velo27wlgsz 8+f5h rdba+ fcity.

  What type of acceleration does an object moving with constant speed in a cip-zw:s:dx 1;ggd njil6z/ 4 m gojsf42rcular 24w/gj4p : gs go:6i jz1;sf ml-ndzxdpath experience?

  What force is needed to make -0 fljw1dx d/m6cimb+ an object move in a circle?

  When an object experiences uniform circular motion, the direction of the net f )g5.8g ipstdmorceiggmp8 5 .)tds is

  A roller coaster car is on a track that forms a xibcqhib. eh;,vuz3v5h ) x293fma:b 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 c,ihv3bf:i.3vb2);5x ma9ze bhxcquhentripetal acceleration at this point?

  A roller coaster car (qc) 1hgkfs ) )x+zgoc3mass = M) is on a track that forms a circular loop (radius = r) in the vertical plane. I) z))cqkhgoc 1s f+x3gf 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-circular arc until ojv sc1 uy.r+;it is going straight up. Just as the plane is at its lowest point, the force j1urc sy;+v.o 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 rap ts0j p-pxzzk;e+oi6*ka / t(dius $r$ 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. Then i8y+a g) zuy-yut goes arounz8u+y)a-guy yd the same curve at 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 curve of gv.y)e-zr ff ;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 cur;rvg fy)ez.-f ve, compared to the first?

  A car of mass m goes around a banked curve of radius cz 3zh3jz(0rom 5k hg*r with speed v. If the road is frictionless due to ice, the car c3z(k3hc*org5j h zm0 zan still negotiate the curve if the horizontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves orf1 rq-oq*2vqc/ r )shkj3fz. n a bobsled run 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. What is the safe speed on the larger radiur qc 2fq* v/j. hsr3)-qfork1zs curve?

  The banking angle in a turn on the Olympic bobsled track4q- 9d wd6r/lmwksd(o is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out odsdd-9r/w( q4wko 6 mlf the turn. Why do they do this?

  Is it possible for an objectoezb 1/ n*rk5h0v+s4ay0y/y mof8ahc moving around a circular path to have both centripetal and tangena/cy1+mh v8k5bro0o /*fy eszay40nh tial acceleration?

  The gravitational force between two objects is proportional tolwt q5.n cmy;p30wq )8i0jnot

  The gravitational force between two objectsxvu ph8c(l4*vd*c 4e,-vv/ lq 0nsupr is inversely proportional to

  Two objects attract ee vie(mhw8o+- ach other gravitationally. If the distance between their centersm (o 8e-eviw+h is cut in half, the gravitational force

  Two objects, with maq2:wrwlp6 zl; 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 massesbbuew hypiyko/z**f :wz8431 $m_{1}$ 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.t 7xjb1d5 81eosrcmap n3m6q7

  Compared to its mass on the Earth, the mass of ano ug9c8 u 4n2a:gdtv*o object on the Moon is

  The acceleration of gravity on the Moo 3.dvjy7f hj)pn is one-sixth what it is on Earth. An object of majy3jp d).7f vhss
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away f8gc a5pys2ofm)7 1fqk d+ eij,rom the Earth's surface, the rocket's weight

  A spaceship is traveling to the Moon.sl7vltbbz 2xdb (w104 At what point is it beyond the pull of Earth's gravitb7x 4 lstzw02v1ld(b by?

  Suppose a satellite were orbiting the Earth just above the surfaojfmygjx79o:hd4q*n qd:,1v ce. What is its centripetal acceleration? xfdv:9g7j*4 yq:j d oq,on1hm

  A hypothetical planet has a mass of half that of the Ep21, kfrzeyuj9 x1g. uarth 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 due to gravity at the Earth?92yrju1x k1f uz., pge

  The acceleration of gravio l-d 5 ftsuxxkq71:5qty on the Moon is one-sixth what it is on Earth. The radiuu-:fs5q l td71oqk5x xs of the Moon is one-fourth 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 tz ;, gkj,3egp h6to zh,h*w*k0(lotdzhe radius of planet A. If pdog,zt lwk3ho0ej6k *z , t(gp,h ;hz*lanet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B vx8;hu/e dh cn*do+,wn*az 4zu; /;bxap p9uy has twice the mass of planet A. If planet A has radius r, what is the radius of planezhuc ;e+ *dunv b8w*9;;hzaup,onx4x//ay dpt B?

  Consider a small satellite moving in a circular orbit (radigwa( et(aq4t ,9g 3cjjus r) about a spherical plaacj4ge t(gqja3t, 9(wnet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in theohki,ecd3 4 0u;oxb+ :gx fi9z same orbit. Compare the two satexiud43;hfb 9keocg z:0 +,i xollite's speeds.

  A person is standing on a scale in an el i./2 zawq;x9bcvh h3v(jfz*)o6oma wevator accelerating downward. Compare the reading on the scale to the pe/jfxvqb z*(h3h zo )a6m9aiwvo.2cw; rson's true weight.

  Who was the first person to realize that the planets move in elliptical paths h5zn/ an*uvls,(5 fb*a qykq/around the Sun?,/yanlnqs( qk5fv/* 5uhb az*

  The speed of Halley's Comet, while traveling in its ellipti0fdp : won yket)1p kaqs7l46:cal orbit around the S0kyld :q7nf 4:ta6 e) kwpsop1un,

  Let the average orbital radius of a planet x sz+orbkela8lijy3 ; y+) 4l.be R. Let the orbital period be T. What quantii+xblzek). 48;yl3yj rsl oa+ty is constant for all planets orbiting the Sun?

  A planet is discoveredpz 90savuoozvx4x +9 2 to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Eart 0x u9vso +92pzvz4oxah 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 t8ll u;0f8m p(zjxqo:xe,x tu:he Sun is defined as one "astronomical unit" (AU). An ast,tzx 0 jx:8l(eqlu:f x;p8moueroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.u d)2w69s 4y p0vvtabi

  List the four fundamental forces in nu7c*p pi-g)pqs+ s a;uature.

  An object moves with a constant sdd7a u/ t6q(ykpeed of 30 m/s on a circular track of radius 150 m. What i7/ d ukt(d6yqas the acceleration of the object?

  The maximum speed around a lekkm)ji)2l24n m.v pc xvel curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Ai2l. ckx)k mv2jm) np4ssume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of2ekc0u4l 4ex bupcm39rd( hp ( a bicycle wheel of diameter 70 cm when the bike is (dpkmbu30e 9 p2 (rc 4x4clhuemoving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axis.8eklsrn*. q 7kgbe2 x75wtgq2 What is the centripetagl.7gneq2kkx tsb75 wq2e8r* l acceleration?

  How many revolutions per minute must a circular, rotating space station of g/l awz7nm5(f radiusw fgam(l57n z/ 1000 m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg./fpdoyw39g1y1dn m.c(q o8 kv-n ak9k It goes around a 13.7 m radius turn at 96.5 kmdgc 9w1 kpvq(1d 9 .yna- kyn3/ko8fom/h. What is the centripetal force on the motorcycle?

  A 0.50-kg mass is attfdmie re3 6d1elfz-pqz 9uf1aqa, l;n;. x2v7ached 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 mass if the string is not to e.7l 2d3depz-me ;f1 ,nua;frq fq la xzvi619break?

  A stone, of mass m, is attachedopxt728, acu u / /fpp7eyeo*b to a strong string and whirled in a vertical circle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight. u p ua,cx*p ef/epb87/ toyo72The stone's speed at this point is given by

  A stone, of mass m, is attached to a strong string and whirled in a nxo2-1wj:ep2ifdg82n ( sn sk vertical circle of radius r. At the exact bottom of the path the tension in the n xisj (2od22nnpg1sk e-:8fw 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 acceleration of 4g when pulling outhobk gi1k01r h b0 p7zb3zmoy(7.k-kj of the dive. What is the rad7roz kz0igok-b01(71hb mh y kpj3k.bius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vu ( +zrmakm,lav9l9f0e:ri i9ertical loop (in which the center of the loop is beneath him) of radius 3200 f0m( 9ail:i mvu9rz+, 9kle arm. 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 pilot can stand is about seven times his weight. What i,7p*s 7ixy *x3uxb;2ttvu c uqs the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate 2xisxuvt 7u**ut73 ,cp q;xb yat a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve.3ay ,rpx9w dk with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume thw.xpry93, a dke 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 speej6rvo3um7 *mru /k8awd of 20 m/s. The centripetal force pro mwar7j3*r/u vm8ok 6uvided 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. e/-bwo-ev0.kbcw zlt2 okq 5r6s72un What must be the minimum coefficient of fricr/ etlokczwu.b-2 bn-e wv s57 2qok06tion 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. The coeffic4,gu otpsm ;y(ient of friction between the tires and t 4;opg,tuy( mshe 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 Olympig cdxvh . jcag sh;yb9bs(0fd+0sr/9/c bobsled to negotiate a 100-m radius turn at 35 m/s0(s.bg;xhsa vsd b /cgydr /9+fc j0h9 without skidding? (Ignore friction.)

  A horizontal curve on aw 6lsfn:v,:eh n5-f2gi bd0wz bobsled 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 radius7b((;srqhy rd 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is b 5/szkbll w--8nzig9banked 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 horizonta kq9b y7z /o/r(ov :tm.4 ie-wkt1rxpal circleq-. mpwyr ekb97z/k1r/o4ta(ovx t i: of 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 th1 ifrt/arr9fug;jo -td3b8 9xe pit area, a race car accelerates 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 v3;f8urt ib /9dar9jor -f1t gxalue 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 oxq zw-3kuhqe,ma+(g)rr* 2qff 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 on the Earth,) a fb+v4;xs6 (1kwbnpfw-: has4to kr due to the Moon? The mass of the Moontkna b; oxp-(4srbh:)+w4fv ak fw1s6 is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force betw gao6 ; rjzmhpunzjf i/2-c/;vi5*b8qeen two masses is F. If the masses are moved to half of their initial distance, w2/8 / jo5rczv;bm n*pziq h6a uj;i-fghat is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Su2p5 cns+j hh x+49ivgzn, at what distance from the Earth will the gravitational forces due to the Sun and the Earth canc+hc +4znjxhi gp29v5sel?
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 i8jkgm7pv d;g.- mlu v9s $7.4 \times 10^{22} \; kg$ 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-walmx 2 vxc3r* /-b6a8w)fmghehn k" at a distance above the Earth equal to the radius of the Earth. What is her acceleratior6wxha h)/g3m2f 8mv*xne bc-n due to gravity?

  The radius of the Earth is R. At what distance above the Earthheu)c; :bbzq2 /k5m fu's surface will the accemcbk)quhb :z/;fe25 u leration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at aelx(j :w.i 5.:fz(wr7hhhhd l 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 gravi7j5wh.(x wl:rdlhh ihezf: .(ty on the surface of Mars, is

  At a distance of 14000 kxv7xzob 0-orl-) mdv*klegh6v, nh7 5 m from some planet's center, the acceleration of gravity is d o0lmnhob xvgl,v5k77evrxz--)*h 6$32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface ofwvbk2a qwaio :0(4o8emw -n j* the Earth. The Earth has radius r. If the object is raised to a(bio jnwe0m:oa4v2- k8a*wqw height of 3r above the Earth's surface, what is its weight?

  By how many newtons does i66ronrrb* ws5r8:buy 6e 2cfthe weight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mu2fnrsw 65e yob *rb8 :6i6rrcean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass igj1e day2pu.chc9jg+/y47 y100 kg is at a point 3r above the Earth's surface. What is the satel gjcdphjc/ygue71+a49yi .y2lite's weight?

  A spherically symmetr djyq6*z avcv)9(ixn2 ic planet 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 wej 26znav y9qc()xd iv*igh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun puns/k+ uk)b t d;cns-9p0un;all lie on the same line, with the Earth between the Moon and p;s9ktn; u0pu/nn -kcud+b s) 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 Moonqs2c1* y , sl mfm2ihv3-ljw6z.
(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 o+tm;,xg wdmgnr++e;srbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satel,r;mg +s +nteg+dx;mw lite? (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.x -x90z-jp ik9fzy; aje., it just skims the surface of the Earth). How long do- j 9yfk ;zi9-xpz0ajxes 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 aboveqm zxbta8js )u96.l0p;b zwd4 the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean radiusz)0bb xzjq al;dp 9tw.4s86u m of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an4bu.zol)4 vok 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 orbits the planet with a radius/4q brtmm*7q b 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 orbita r,2l,p5 bgu;yv lwtkpqsg*j(3 ki).y l radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon u( ggp5.kbk3 i)t;qsv ,j2r ,w*yylplB to complete an orbit?

  The planet Jupiter is w32 2wvs e.aei$7.78 \times 10^{11} \; m$ 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 8vbg: mc c,1;r*owffoJupiter 12 years to orbit the Sun once. What is the average distance from Jupiter to the Sun?:crmvo1f8fwc; go b *, (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)