Is it possible for an object moving with a constant speed to ac 4o ra.ya.zyt2ajb4v9 celerate? Explain.a2a.9y y.4z a ovj4rbt

  Consider a particle j;ymw 34 lia4gmoving with constant speed such that its acceleration of constant magnijyw3gl 4i ma;4tude is always perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Comparwsn (ez x:mw80 c:/ssge the direction of the object's velnw 8sz:e0g(sm:/cs wxocity and acceleration vectors.

  When an object experiences elg 2 98 bo:mo6yuv/qluniform circular motion, the direction of the acceleration isuge 2 ql86voo:y/ml9 b

  Consider a particle moving with constant speed such that hfp28b4 )r occa 6f:8vo6wq eiits acceleration of constant magnitude is always perpendicular 8ebr)p4f: iq w8cah6 v of2c6oto its velocity.

  What type of acceleration does an object moving with co vja 5 xgjn9sll1*;n1i*i7amfnstant speed in a circular path fgj 5lvi*9 *1ninjxaml ;s7a1experience?

  What force is needed to make an object move in azi/m;goh7; e qb6ttfc/ets0; circle?

  When an object experiences uniform circular motion, the direction of ty4 8(udtae/g(5i0gdpoz 3 m0:offrpshe net forcesgmyr o pa(4:d/500(83gpz ofifuetd is

  A roller coaster car is on a track that forms a circular loop in the vertica0,k4vsawa ;-qu0vrm a l plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripeta sq;vw4vaa0-k,mua r 0l acceleration at this point?

  A roller coaster car (mass = M) is on a track tu 2ztnt7 85nbw)wie0z u4)ne 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 value for its spnwub02w ti)tn8 4z)uen5z 7t eeed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc unti:ughd 9+hdt,m l it is going straight up. Just as the plane i,mu t9h: dd+ghs 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 radiu )0fv2owi 0g.ts 3gjlrs $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of radius xg8ks0 f-)n9onp qu7t +w ;kujr at a constant speed v. Then it goes around 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 tim-ou7kwnqk fg0;n)pxu 9 t+j8se?

  A car goes around a curve of radius r at a constant speed v. Th6)y4ww1fued .c ny wrfs9, rv0en it goes around a curve of radius 2r at speed 2v. What is the centripetal force on thu1fd 9w)v,cw nw6r4yrye s.f0e 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 x1 l hj+l96wgjwith speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal force on thj w1+ 6llgjx9he car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same angle, but one h1f7m qq s w2syn2-3kx up9wh5jas 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 j7h95wky2npw1m uxsqq -3 s2fthe safe speed on the larger radius curve?

  The banking angle in a turn on the ztm p9.b)htl3Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then gm.lb zt)3tph9o lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to have both c: 5mvn+g.jdl2ud+)o wj;ysjtlvd3 u8 entripetal and tangential accelerati3y jgjvs2+o ut);nu.mj d 8wv5l:d+ldon?

  The gravitational force between two objects is propo8qb 6y f/z)ct+k+hrp qrtional to

  The gravitational force between two obj4-k xmeroix6ycm53 (wwn 0y8qects is inversely proportional to

  Two objects attract each other gyxfs7as88r do o4rz .)ravitationally. If the distance between their centy 8 z4ss)xo ora87rf.ders is cut in half, the gravitational force

  Two objects, with massxl+h: dc p2v 8oo/kx9us+(dxc es $m_{1}$ 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 masses j wu9 o j.z86(8ha,c0ydtfsf8 u 90jklgja)qu $m_{1}$ 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 granlbrp,xcs g 1 gin;5x37 j49rsvitation.

  Compared to its mass on the Earth, the masz :+) p/hw f dj0sarnm5xrd37us of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixqr f-xxk8sntkz+5m /)8mn pf-th what it is on Earth. An object of mzn+ n-prq8x -k fsfx5 8)mktm/ass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, t;jrh df,p e53i-;wprwhe rocket's weight

  A spaceship is traveling to the Moon. At what point is xlvma f9q29*dit beyond the pull of Earth's gravitf *l2 vx9aq9mdy?

  Suppose a satellite were orbiting the Earth just above the surface. ,jfh*g2c, fbqj-rmi 9 3 tfwrs :3whu5What is its centripetal acceler -rf2u 5g wh9f*jwtqhijfb,3:,m3rcsation?

  A hypothetical planetq 9g,qaqh ll 4+d4s1lb8. evgc has a mass of half that of the Earth and a radius of twice tha,.g4v9q bglhcd4l s +l1qa qe8t 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?

  The acceleration of gravity on the Moon is one-sixth what it is ov*e)gc jc) c1kn Earth. The radius of the Moon is one-fourth thajg1ve ckc)*c )t of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, be+6zhpjx:gtu 1fkfd a+ :b /m6ut planet B has twice the radius of planet A. If planet A has mass m, whaz6 :gfb+xp6/+fd k1 thaeum j:t is the mass of planet B?

  Two planets have the same surface gravity, but planet B ha./rd +*a 8cjw fseurs7s twice the mass of planet A. If planet A has radius +*./ faj r8suw7drsc er, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) a(gciui)3,rgz1n *ing,b l dp3bout a spherical planet (mass M). Which *g n(zgdu31l,b,p ri g3nci i)expression gives this satellite's orbital velocity?

  Satellite A has twice the macbnzp04 s/l .ass of satellite B, and rotates in the same orbit. Compar4s./ p bnalcz0e the two satellite's speeds.

  A person is standing on a sl)h-hr xs2 ,udcale in an elevator accelerating downward. Compare the reading on the scale -hh2)dlxs ur, to the person's true weight.

  Who was the first person to realize that the planets move (84aogfm p/ao5r 1 st(mr+f hrin elliptical paths around r o/motm(a ph8f( ra4r1+gfs5the Sun?

  The speed of Halley'ss/;..q tiggl ebc/:fj Comet, while traveling in its elliptical orbit around the Su b.tsgq/;ecfi.gj l /:n,

  Let the average orbital sl3yj9x x l-(nqhx( h:radius of a planet be R. Let the orbital period be T. What quantity is constant for all planetsyhhx3:ql xxsn( -l9 j( orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andro):dxrlgz443hhq3qjzn-hdtcr/i3jw;1( d b fmeda, 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 -q14dhl hjn/j zbdzt g 3x:3;hiqr(rfc)3w 4dof that new planet be, compared to the Earth's orbital period?

  The average distance from the Eara m,uziwnm i+3i).rims4 hd39 th to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in oidi9nmu) 34za3 ms .hm ri+,iwne-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws. h:bql4/j*o ixtbu 3s-y-zd.q

  List the four fundamental forces i-az oom7lkuk+ i6puo9*n.*y+c 8kj svn nature.

  An object moves with a constant speed of 30 m/s on a circular track of r .tbn *bb2ts3tadius 150 m.*.t2n bst3btb What is the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What i5-r,4e j gtn4dmeq; dbybp4.1 9baxwhs the maximum speed around a curve with twice the radius? (Assume all other factors remain uncd;edq,bh pbm. 14jt4nw9ge-y5 xr 4a bhanged.)

  What is the centripetal acceleration of a point on th3xonqcl( i6, le perimeter of a bicycle wheel of diameter 70 nqx3i,( o6lcl cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m fr 6m6oataju67iom the axis. What is the centripetal acce7oua6m ja t6i6leration?

  How many revolutions per minute must a circular, rotati9uvclr/g 8q(hng space station of radius 19l(q8cvg ru h/000 m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes aroung bgkdv 5pq +wgi2;91dd a 13.7 m radius turn at 96.5 km/h. What is the centripetal forc 9gwbidvgd1p;q+k 2g5e on the motorcycle?

  A 0.50-kg mass is attachedskiv- 0wp; :ck to the end of a 1.0-m string. The system is whirled in a horizontal circular p ;-wkv :pc0iskath. 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 strong string and whirled in a wc a 16mu6z4rxvertical circle of radius r. At the exact top of the path the tension in the string is 3 times the stone's weight. The stone'srm xwz61u 6a4c speed at this point is given by

  A stone, of mass m, is attached to a strong string and whirled in a hm6uf)n uyn)8jx7 ;hfvertical circle of radius r. At the exact bottom of the) 6;n7 8ffhhnjx) uumy 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 experiences an acceleration of 4-rk8-h 3 pizzu1u2o1dcb: sdhg when pulling out of the dive. Whobisrpzk1du1c2 -3h 8d -u:h zat is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in wdxoh-uz9+e ,bc; tn7khich the center of the loop is beneath him) edx9tchb 7o+zkn-;u, 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. How fast is he going?

  The maximum force a pilot+knkk +mwp 0b 8dce-m5 can stand is about seven times his weight. What is the minimum radius of curvature that a jet p+ pc58mw-kkm 0k+ endblane'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 tires onsjsc9c;;)ira5 i t2vr the verge of slipping. How fast can this car round a second curve of radius 320rcvjs;5i rsa9; 2) cti m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve oq jau3hh(zq/ 3f radius 50 m with a speed of 20 m/s. The centripetal force provided by fra3hu j3 (q/qhziction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a f av 4k:p2s6p,7x rlgsjjpe8:ba6q xr9lat curve of radius 50 m at a speed of 14 m/s. What must be the minims7: gx2,kpe ra6j 4q vj:sp9blp a8r6xum coefficient of friction 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. (n0. 4,apfmtjrqg9aicj ,hm , The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if therfam 0n9 hgc,ajm,p(4ji. t,q car is to stay on the road?

  What minimum banking anglesjoh92 o :a;z)xku3 ct is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding?2 coo3sk; tx:h)a9juz (Ignore friction.)

  A horizontal curve on a bobsled run is banked axe b/4*:vb, 2 .;fotvrrtm ehbt 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, banked at an qv b5ws dl:l/ub;/md1angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80su(84owzeq57 ve is2l m 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 revolvic4 g;+dzcx:1vm ejk6i ng uniformly in a horizontal circle o+1ki j:4gdm6x ; veczcf 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 race car accelerates at a uniform rate 05wd680 zu7ukz fz pt:x15o:lywuuolto a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numericaxd5uplw: uz1 zy6k800wzu:7tfuo o 5ll 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 consistsv:1yt+s *fl yt- 7ueds 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 force on a 70-kg person standing on the Eartghtt1dh28xsk sz )m6a,3bhw0,6oyr- jb2jxzh, due to the Moon? The mass omyz1o0t8 r ah,j6 b xtss 2zhgw-)h3 bxdk2,6jf 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,:hr*k6 1il jrcnhbx+ is F. If the masses are moved to half of their initial distance, what is the gravitational a n,b xl*h 6kc+ji:rh1rttractive force?

  For a spacecraft going from the Earth toward the Sun, at what 7zr; ir5y aogr+9ykr52n 7bhn distance from the Earth will the gravitational forces r ;hnr2ornkr5bz 7y+5 ia97 gydue 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 ipa5 bk(ol/339pc tolvem f25 $7.4 \times 10^{22} \; kg$ 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 distangtfgyo t4xny 9nc 7(kon1i3g3x .w 34dce above the Earth equal to the radius of the Ea (73 nct4goi1tk.3yxnx9gy o4g wndf3rth. What is her acceleration due to gravity?

  The radius of the Earth is R. At / 7qebjpq7 g; e84hrk2gctz2nwhat distance above the Earth's surface will the accelg2p;qr7e hkj gcz4qe/8t7b2 n eration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 times the jgufc-4,.l/ h:dinjkradius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Maru -/d:j ijcnkl,4gfh. s, is

  At a distance of 14063 0y.oguw yu; gje9bx00 km from some planet's center, the acceleration of gravity iso y g93xug6 euy;j0.bw $32 \; m/s^2$. 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 radius rblso.6i g20y vp8te h1. If the object is raised to a height of 3r above the Earv y. 0o2he68tgi l1bpsth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg personi7+vce-m,l y) d:f xeq change when he goes from sev) mlq:i,c f7e-d+xye a level to an altitude of 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius d 2ok)r1nwy rr7 9dk*vr. A satellite of mass 100 kg is at a point 3r above the Earth's surfayrwd1dv 79nkr)k 2* roce. What is the satellite's weight?

  A spherically symmetric planet has four times the E. t kulmc1)f1qs3 gdy*arth'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 surfk u*1g)1.yldsfqm tc3 ace of this planet?

  During a lunar eclip/;t;pkk54;b9cfj ex (vbibo b se, the Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. 4pet;k; cb9if bo k x(5vb/;bjThe 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 (4od8l6/5rn /a hnl h,bxpbz2c8x7d qv sabl8Moon.
(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 ciruaw8m vwk vh3tlz n))b fe 5lj7*7x7f4cular orbit about the Earth (i.e., it just skims the surface of the Earth). What is the speed of the satellitet*7)3ln 4 wazublf7f7mwxe 5 hv8v jk)? (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.e., it j.wk3.jjs0vz /ql m 8rkust skims the surface of the Earth). How long does it take to make one revolution around the Earth? (Thezrk8lm kws03jq.j/v . mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km abov ws 4 v/y/l*7*tto gy3d3a (ggknxuwl;e the surface of the Earth. It is observed to have a period of 89 min. What is the mass;vwy(t/l/w*gadsn 47* lgu g 3t3yxok of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter,dgtn0uk, ko 0+ has an 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 k4yx7 li *1m*fpfxirx;uf *l+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 neo.t: 6l *hyvwdewu):garly 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 does it take moon B to comt:ol wyw:v ue. g)*6hdplete an orbit?

  The planet Jupiter i*raeg pvc+; 7 mo0u1ams $7.78 \times 10^{11} \; m$ 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 or6juijl3n v;vt q2h,8ubit the Sun once. What is the average distance fr 63,huqlunvt 8 v;2ijjom Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)