Is it possible for an object moving with a con5ksk+moztjd,ym:e ( 7y,5rdp1j9 l tgstant speed to accelerate? Explaiy17p:t+l dkmjret 59 (5k, dojmyg,z sn.

  Consider a particle moving with constant speed such that its al z13 uybj,2p b0zpp2bcceleration of constant magnitude is a2bbppzzl0bj y32p,u 1lways perpendicular to its velocity.

  An object moves in a circular kr-dwt4dr 31 / fne5gx1s4tjw path at a constant speed. Compare the direction of the obj15 xr/3j4ts wdernk - dgwtf41ect's velocity and acceleration vectors.

  When an object experiences uniform circular motion, the direbxuu*7ah*sa 4 )vik+tction of the accelevkt7+uaxb **a4i)ush ration is

  Consider a particle moving with constant speed suchsw8 lyr-.0nnp ux-w17i b xgg7 that its acceleration of constant magnitude is always perpendicular 7yx0 l7rwunnp-g8 i -xsbw1.gto its velocity.

  What type of acceleration does an object moving with constant spewy spe b)axu4z-5+-tjed in a circular path expeau eyzx-pw+ s -45b)jtrience?

  What force is needed to make an object mova7rwxo0 a;i 7i 0cz)vae in a circle?

  When an object experiences uniform circular motion, thn4g3dll f;*l,(cu v ave direction of the net forc,afnlu 4g lvlvdc *;(3e is

  A roller coaster car is on a track that forms a w bc,)ncd60judug6 g o-b+t6x circular loop in the vertical plane. If t0xu66c,bn 6 ud -dg)ob+gjw cthe 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?

  A roller coaster car (mass = M) is on a track d*;s sqpuz t6s. : z6/koszfzilzmm;.3w(z7dthat 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 speed at ts7dsfmomz;iz :.;6 6/(3zuzwp. qslz st*dzkhat point?

  A pilot executes a vertical dive then follows a semi-circular qijx(e4h9 x8yja+3cwarc until it is going straight up. Just as th cjhqx9a8 j3(e 4wyi+xe plane 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 curgtxc m(.878bxr 4qpx(q 5 flxdve 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 consta+yg2s8+8n2i irmfnd dnt 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 m firydi+82ns n+d8g2first time?

  A car goes around a curve of radius r at a constant speed v. Then itm gyz,r cw8mvt;;p/g7 goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the secong7wgv /mcrzmtp; , ;y8d curve, compared to the first?

  A car of mass m goes arou7d)r mi2lyi q9cs b.2rnd a banked curve of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve if the horizyrs m79q22rdb. )l ciiontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same abb(b)hyh ta (p +t5*7lc t,sptngle, but one has twice the radius of the other. The safe speed (no friction needed tot *pbbh h )ctylsb tpa,t((5+7 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 onu 9qto615x por the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will inten95uxoot6pqr 1 tionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an oblj;)y99e om 5k klk 00se- 5fiz*vqepuject moving around a circular path to have both centripetal and tangential acceler*5 kil k0z; 9jpm-ykvue) 5qeoe9slf0ation?

  The gravitational force bom-r lwc7 *bh5-y+min w+u g;getween two objects is proportional to

  The gravitational force between two objects is inversely proportional 72-k(mbodek tv.kpo g8ge, .xto

  Two objects attract each other gravitatioq 4 hn0 mezrcakg0)r3.nally. If the distance between their centers is cut in half, the gravi km0eh czqrgr0an34 ).tational force

  Two objects, with mas 2/z* 4oaqh1te 4r7kjh4tjkqu ses $m_{1}$ 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 vu, tm af/cq;fc3n/0 j$m_{1}$ 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.9 gsbdxx gh,p m.d1-d.

  Compared to its mass on the Earth,yk/d(x)w ao*r the mass of an object on the Moon is

  The acceleration of gravity on the Moon is opb8 )6sand2.04pmk y4wvqywgne-sixth what it is on Earth. An objec6g w8v kn y.0 4qpbadwyp2ms4)t 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' zsxfk(21 hyx6s weight

  A spaceship is travelig5p/g 88mhtkung to the Moon. At what point is it beyond the pull of Eark8upm/g8g th5 th's gravity?

  Suppose a satellite were orbiting the Earth just above the su+,zp +0e;u mzsejsw9 69a jg fpsc50zbrface. What is its centripetal acceleration?9 g;psfewzju50 6a+ejbm, sz0p+ s9zc

  A hypothetical planet has a mass of half that of the Earth and a rg.::aw0j ylc dadius of twice that of the Earth. What is the acceleration due to gravity on the planegjaw : yd0cl.:t in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravit:nc0k6 omgj7 my on the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of c7mj: g mo0kn6the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, butszt/p3s.y ua;q m(2sg planet B has twice the radius of planet A.zus ;2s (sgpm3at y/.q If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet a+)kh x 0r9rqvwv +oo8B has twice the mass of planet A. ax 0+)8horro 9q+v wvkIf planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a sphta 5s3 b;6djo-v qemo-erical planevs- d5otm;3e-6boqa j t (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbit. Ctej15 fl*mqcg.q, 3 khompare the two satellite's spe.3e mg15fck,q*jhtl qeds.

  A person is standing on a scale in an elevator accelerativxb5 + n in55mytp9p6ong downward. Compare the reading on the scale to the person59nn5pxy m 5t+bop 6iv's true weight.

  Who was the first person to realize that the ps)p;q yb,b8a dlanets move in elliptical paths around th8ydqbp,)b ;a se Sun?

  The speed of Halley's Comet, while travelingb m.2q. nxy-fuq.)ebx in its elliptical orbit around the uf2bx. -qyq nx)e..m bSun,

  Let the average orbital radius of a planet be R. Let the orbital period be cu 1cx2rcq,5f*i -qf( evo*dy.t+ vedT. What quantity is constant fq2utvqc( y rf5 efd*, +vde*.-x1ccoior all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, with j3- gdhr2l4li4mvd ) cthe 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 revolutioc rl4d2g3h4vm-i)d jl n of that new planet be, compared to the Earth's orbital period?

  The average distance from the Earth to the Sun is defined a-8p p1 kj.(v2z nwwukmz51bjf s one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. Wha-ju5vf2j1b (8pk kzmp1.w nzwt is the asteroid's average distance from the Sun?

State Kepler's laws./j/wbbv.z i8.wzo/ i)hbs +s)kj b(ns

  List the four fundamental forl3tkzr 6r.cuun+n-7b74 0q)bjt wo 2 gws+ogtces in nature.

  An object moves with a constant speed of 30 m/s on a circular track+6t nrqlwc p18 of radius 150 m. What is the accelerati1q6r 8ptlw+nc on of the object?

  The maximum speed around a level curve is 30.0lhhgs5k ;7t1 v:mqd1e km/h. What is the maximum speed around a curve with7 :v5 shmgdl1tq 1h;ke twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter of a oiw.*2kelmgd0m *h. o bicycle wheel of diameter 70 cmkog * oi hm0wl2*m.e.d when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.7zxiost,*3 qq) qfrr-v6 mwu/00 rev/s is located 0.200 m from the axis. What is the centripetizqrqm3-*tf q)o /6,wx 7urvsal acceleration?

  How many revolutions per minute must a circular, rotatingibhnpuhpnf4;x /2e,w z ,6m; p space station of radius 1000 mhfbxe/ ;z4mw h,np u;npi6, 2p rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius tug att5mnlr- 70rn at 96.5 km/h. What is the cel-n5tm t0g 7arntripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The sy5+f/-dzycfa2 p7amario. k 2cstem is whirled in a horizontal circular p5o7+ada pyk r f2/a-c czm2i.fath. 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 whirledj,4n +8 ebrc,mhx. 7qy p;ljpt in a vertical circle of radius r. At the exact rc e m8y+ tqp,;j,pjbln.74hxtop 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 strongx h0 )il v:rbj0bm:a2m string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 timexb:mb mi2 :ahv0jr) l0s the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 pk-(w)3 nfp ymm/s experiences an acceleration of 4g when pulling out of the dip-)my fpwn3(kve. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center 8 )atoe ep 9hq5s/hkq, 1oh/etof the loop is beneath h8h ek1sepah,th e9/)to 5oqq /im) 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 igr e555vnilqk7+j:u can stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed ofv+l5 q5kuji 5nig7e :r 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the tires on yd6j :zbfa8 0imxxjl6+uw 9 q8the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume 8q:x 0mdaj uwzbxy +f96jli86the 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. The ceeeu/ n ipq(18bb;8bv antri/e1qupb;nbeiv( a 8b8petal force 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 at a speed os-u8 ,gq.x(ggsv7 eocf 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to make the xgs.ou8cvs-e (,g q7g turn?

  A car is moving with a constant speed v around a level curve. The coeq731hkey3q 2yjq8 lg*8aap bafficient of friction between the tiryqq23 a 3b ja88gyahe1p7lq k*es 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 bobsled tox) 5owoyp )ho ot80/yo negotiate a 100-m radiypyo 8oxo0wo5 /)hot)us turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled y+ 62pmmjyh5s 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 radi+ zg9v/g-tbyq5v l 6tyus 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked ex ea(i:vqhi++) nsh( 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 ho sz7tz;h dad:0rizontal circle of radiu as7 zzt;d:0hds 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 c:f5 vlhfm3n;hto zb .cv/8,luniform 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 bhzhl t fv8:b 3nfv;/co5,cml. lanks)
(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 aq4 szb9 um0vf65iem0 l 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 Earth, dueth54axitks /,2 sp bo* to the Moon? The mass o/t5ksips*xa4 o,t h 2bf the Moon is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractif1 (-ebtkcv 7 puhbl5,ve force between two masses is F. If the masses are moved to half of their initial distance, what is the gravitcpbl 7u1tv (,khb5 f-eational attractive force?

  For a spacecraft going from the Earth toward the Sun, at what distance fro1blbx-p* t p9(u/aeyw1 h+vf0pnxg 9wm the Earth wil9a+ bpht0p1*/vg wuxn el(pwx1-ybf9 l 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 cqd8pu-g hi( tl/txr 2bedgb ),jwj14jv:0m;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 "space-walk" at a dista3aji0baymk6 /lel 0 ;znce above the Earth equal to the radius of the Earth. What is her acceleration due taa je 63b kz;l0y/0ilmo gravity?

  The radius of the Earth is R. At what distance above the E/w;/pa oj nij6arth's surface will the acc6opiajwnj/; /eleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 i vfz9po3x ( 1quin2h/times the radius of Mars. The acceleration of goqzuv ix(hf93 2i1p/nravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the p7;t3) bhlphc; y 4gxsacceleration of gravity lt3g74x c;) p yshbph;is $32 \; m/s^2$. 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 hkml3q j6l;)e bas radius r. If the object is raised to a heighljq6)3 blk m;et of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 1ng:a5 4efbp v z7b*0y7rke m8y00-kg person change when he goes from sea level to an altitude ozy b0b7e k:er8nfm7va5yg4 p *f 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 f jl3nx9yvo*+.mfv jv1 vp2-o above the Earth's surface. W3nyvv2 -1*o+f. j vf mj9plvxohat is the satellite's weight?

  A spherically symmetric planet has four qzs 3/al rm0z5c:tpj7times the Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of 3zsm7:zt/0acq r ljp5the 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 line, wizbzx5,6 *2 9bb wfyrbtth the Earth between the Moon b 5z wt,2bzb6bxry*9f 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 ball is transpyl3p4nc(m2+8re v9ih ncsp .1z elh,dorted 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 zwv: w hb21y2iyy cs+,p. +uwethe Earth (i.e., it just skims the surface of the Earth). What is the speed of th + .ue1biwc2ypsyw2, wyh :+zve satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular o.2kh+,ap8uwa dyvh5iab7:)rd xz od8 rbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take a:2ddhyux bvz7.a 5rh +8p),o dwa 8ikto 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 above khptnqdk,91 g x+ja +-the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (The mean r9-,gjnqd1kx +a k+tp hadius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an or*jtom s/( s:j2u wyy1abital 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 rab w ri9d, (19:u*ksltsby dtz+dius 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 h4i+p+wmbe ,5ii q5uxv 1wlm,bc6y+ x uas orbital radius r,bi 5,m14qiiw +wl ev+x6cb 5,pxm uu+y and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter isr48r7dp,tu;rm i ;hp 9j athn, $7.78 \times 10^{11} \; m$ 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. What iszy/p g z nwm.ra(0*0xu the average distanymx0zr /(gpzwu* an.0 ce from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)