Is it possible for an object moving with a constant speed to accelerate? 7mv0;w*pwcwhb 59a elExplain. hbmw9c0wv *5;p7w eal

  Consider a particle moving with constant speedvgw;y(bf1 z j0 such that its acceleration of constant magnitude is always perpendicular to 0(j1z gvf ;bywits velocity.

  An object moves in a circular path at a constant speed. Compare the dinom 2/xgj(4:b4 blo gprection of the object's velocity and acceleration v( n mb4g xoo4:p/lb2gjectors.

  When an object experiences uniform circuledcn-9f5f acj3cob 52ar motion, the direction of the acceleration isfcbfc9n -oj3 55 d2cea

  Consider a particle moving with constant speed such that its acceleratioksv9(h(a 6-*njqs( -asepia nn of constant magnitude is alq6(h a*j sa s-ins-n(e ak9p(vways perpendicular to its velocity.

  What type of acceleration does an object moving with cozzr: fmb t(851py co6vnstant speed in a circula(1 6zrp:o 8y5 cmbftvzr path experience?

  What force is needed t jno1p+j sye2f,yx4l 8xlt.0uo make an object move in a circle?

  When an object experiences uniform circular motion, th/,ibv4hi 0 idvsu d,/xe direction of the net force i,i4d/v,s0hx /dvbii us

  A roller coaster carna 3tiiey)ird( j,4, dj88x pd is on a track that forms 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 minimumix4y3,d,ri8d )8pa d( njeitj value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a tvs h47sq;m n6hvh78trrack that forms a circular loop (radius = r) in the vertical plane. If the car is to hmnhv 7v84t s rh;7qs6just 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 vertdn .,tab)uro ro+ i2pp:a56 peical dive then follows a semi-circular arc until it is going straight up. Just as the plane is at its lowest point, the force on him ntbpo+:pa 5dpe,i.6arru )o 2is

  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 cb9q8r , srfty l9.j6qhurve 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 constant speed v. Then it 2 l-d (3wvaly(c-vnfg goes around the same curve at half of the original speed. What is the centripetal forcvv(-w a llf3dyg n-2c(e 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 radius r at a constant speed v. Then it goes arouna tj4r,h )of0ad a curve of radius 2r at speed 2v. What is the centripetal force on the cartjr0 afoa,h) 4 as it goes around the second curve, compared to the first?

  A car of mass m goes around a bak-r25cr8e 3 +pyk qnaanked curve of radius r with speed v. If the road is frictionless due to ice, the car can still negotiate the curve3 apya2eqkr5+rnc- k 8 if the horizontal 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 sambq6k s z sm;2,3d8.ujm rk*w;)ufbuobe 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 s;*)38b q fu;kz mujb 6s.mkur w2,dsboafe speed on the larger radius curve?

  The banking angle in a turn on the Ol9alp(r4gqba8p h2a: 0 p7m awaympic bobsled track is not constant, but increases upward from the horizontal. Coming prl amaa9 4 8:2h g7bqpa(paw0around 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 moving around a circular path to havexd69+f*iriu mene7 bn0ir(gegfr8, 8 both centripetal and tangential accel6 (rdm88ubnnxir +0i7iefgef,e* g r9eration?

  The gravitational for:3 w :tp .j*d tnb.wal1xkm;csce between two objects is proportional to

  The gravitational force betweetr6hjc(q7)7-j/ rfeg x6nzu o n two objects is inversely proportional to

  Two objects attract each other gravitationally.; n0xrom 5 2,kfh9hcdcpt b(6utik;t 6 If the distance between their ce5pchh2 69 ;xn b6kti (d kf;romtuc,0tnters is cut in half, the gravitational force

  Two objects, with massffgm+yxnl4/+q( a1 q/e9,blhwq 4uk wiy sm4,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 massesz;fg0bn z60f d5f,7ur o7anyl $m_{1}$ 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 graviwg/w5j)i.de ntation.

  Compared to its mass on then84q4 coz lk2oqo8f4x Earth, the mass of an object on the Moon is

  The acceleration of gravity ou/ 9wmin tcov )3-0tisn the Moon is one-sixth what it is on Earth. An object of - i)uc/ 3v9stwomint0mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfa2d 1zyxs c3vtm3a z)ob+t9 y91ntv)soce, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull of kx6mt *b:mp(o Ear6(xmt p*okm:b th's gravity?

  Suppose a satellite were orbiting the Earth just above the surface. ,9/e) ag9+(eiweo2mnj/,vjw h gm jk wWhat is its centripetal acce/h(n9ej ,,)w o9 / +ggvmejwmjeak 2iwleration?

  A hypothetical planet has a mass of half that of the Earth and a radi 58 t-scoc s..sdqkj(sus 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 5 8skojd-csq tcs. .(sEarth?

  The acceleration of gravity on the Moon is one-sixth what it is on Earvbufwgj71 2d- qj-jeo64c;t i th. The radieg- -jb 6 vj ct;dwq2uoj4f17ius 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 t0 9oj ten9:dt)mtcjg(he radius of planet A. If planet A has mass m, what is the mass)j oct0j:edttgm n9 9( of planet B?

  Two planets have the same surface gravity, but plane7i8iw r u.tam+ol*d, ut B has twice the mass of planet Aa,+*u td rol .m7wu8ii. If planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbitq.pkv /u i-apoqs +;ekfz-l;; (radius r) about a spherical pl+lq; p. kipvs;a-/e-q uz;kfoanet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rot55pc;y ti ta+ri+zomlx8 ,dvc 50rg8nates in the same orbit. Compare the tw8 5 cd yoi;zgpti 85tlx,r50mc+ a+vrno satellite's speeds.

  A person is standing on a scale in an elevator accelenge: vza(f;o to49c; jrating downward. Compare the rea t:foaz j94g (ncvo;;eding on the scale to the person's true weight.

  Who was the first person to realize thauxvt i.i,,ollac7s 3.t the planets move in elliptical paths aroun,i 3l.ulaxs,7.o itc vd the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit aroun7 m tui04tq3lkd the Sun7it 40lu3kmtq ,

  Let the average orbital rad enm-(.: u5zqesrdb1tius of a planet be R. Let the orbital period be T. What q.u:5s - emr (e1btndqzuantity is constant for all planets orbiting the Sun?

  A planet is discovered tz-g(zcc1g9cr * qdi-qo orbit around a star in the 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, comp1-zg9* zir c-c(c gdqqared to the Earth's orbital period?

  The average distance from the +b3q p,z, cfmbEarth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the pc ,m3 ,bzf+qbSun?

State Kepler's laws.8f nq:ak-bv kol -:a)*wpkv5 r

  List the four fundamental forces in nurncnvq 70 zhsy7,r8 ;ature.

  An object moves with a constant speed of 30 m/s on a circular7xlf m* soy:oscp2c5iql, ) 1- ahon5r track of radius 150 m. Wxy:snf 7qs2*ri) mall5o5o,h1-c opchat is the acceleration of the object?

  The maximum speed around a;osn3 4wg 1jxqs9 ,mn*rmck )g level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other faccn*,)gm 3msxo9 q1nksw; r g4jtors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter (k1nlce9 2zto of a bicycle wheel of diameter 70 cm when the bike is moving 8.0 m/s? nok1e l2t9(cz

  A point on a wheel rotating at 5.dn n-czp)b64qk8 gr7i00 rev/s is located 0.200 m from the axis. What is the cenc 846 -rqnp7izkdb gn)tripetal acceleration?

  How many revolutions per minutedz yt4u+u1e h:.yd ,vc must a circular, rotating space station of radius 1000 m rotate1:+cyd,uy4 vue zdth. to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around atbsze1 /f dlml9uz xa 5(rl4/. 13.7 m radius turn at 96.5 km/h. What is the centripetal formeu azltlsd/(5 xr/4 f9 zl1b.ce on the motorcycle?

  A 0.50-kg mass is attached tcqg ycwh 64)c2bm +w-lo the end of a 1.0-m string. The system is whirled in a horizontal circular path. Ify ccg-lm w)+ cwh6b24q 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 vertiwq3v 1-.drga3xrcg+ty o /4mpcal circ4yq/ rpc3g-o1 rt3adw+.vm gxle of radius r. At the 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 m6 zjzkr16-zae; 2ohc attached to a strong string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string is 3 times the stoh 1zc;az 6ekom2j6 zr-ne's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s eqa-9o tbvbj:x+wr:ucy 40ba87a m6p rw;n n, kxperiences an acceleration of 4g when pulling out of the divwq:uyxn:n4arbvr +jo6b0 c9awpt7 ;- ,8 abmke. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in whi3aw3zc)p - tv4mx u ynn4j/kv46b-ribch the center of the loop is beneath him) of radius 3200 m. At 4zk4u w t6-vi3bvaxm/bprjnyn3c4-)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 timxi1lf 6o;.cewuceh8v v *r )./u09ka vhdr f;pes his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tol 6e8 0cru*fhv raup).wl/iv.;dk19;o cfvxhe erate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with the z rbrzf xrk1b51ku 3:f)pn;7g mc/v6stires on the verge of slipping. Ho fk1/cbmk1zn u s v;:r3)pfzxbr7r 56gw fast can this car round a second 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 3+4h*: f,f;.dlosl2 fjd bfg+z/ooksoaj8p c speed of 20 m/s. The centrid fhoof ,; ls3azdl c:s8*jbg2.ff4 okj/+p +opetal force provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flagt ,i*3is4l3xk bc2qpt curve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the2g x*p34ct,ilq sk 3ib tires and the road for the car to make the turn?

  A car is moving with v:b )o w f,)/s zdurcr*i)ryu,a constant speed v around a level curve. The coefficient of friction between the tires and the road is 0.40. What is the mi,)cr o)iu)z/wdryu,b*:s fvr nimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympi (pi1xf3c7k.8vt boucc bobsled to negotiate a 100-m radius turn7vcp uo(ckfb3 8 i.tx1 at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bovj ltg4iywu-4v32vv (bsled 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 radius 100 m, banked at an anglt.f ryq t fm-eokxbj9 :hdl()z98; xk0e of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is yb1 nm- su1fpn++0 jtlbanked 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 rv.kv ( rx:j 9qm-n9+zuu)aslh evolving uniformly in a horizontal circl)q mk rv-xlvz+jhu a:n(9.us9e 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 the pit ar)ha4z 6tmabt.:gsf w/ea, 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.:)f4.t6sb a wgh/amzt (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 profv ottl ; s4cjq)em0y(zd) -.kton 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 onqt eg*fs1o(nf1+dqn b3tnu, 5 the Earth, due to the Moon? The mass of the Mo nq qe+on3udtf*1ns(f5bt ,1gon 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. Iwgcn6 rh+2c5wlc- (gmn / u0kjf the masses are moved hr6kcclgmncn+ w2(5g-/0u jw to half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth towa+ijo wrakieg9 m-w 1;77vtc0lrd the Sun, at what distance from the Earth wiw ji+eormg a7;9w7l1k -t0 icvll 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 is kbfd2a+k, 35f2)nhj (cdl rxe $7.4 \times 10^{22} \; kg$ 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 j p91a(ogpm+1 6i, lgd z2niumequal to the radius of the Earth. What is her acceleration due to gravizpg9a ndl j,m+m2ipi 11(uo6gty?

  The radius of the Earth is R. At what distance above thgt)sv qpq5*lvc29 tb 4e Earth's surface will the a4 vqs2b )v*5qc gtp9tlcceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance ab bgnb:6 .ao9xeove its surface equal to 3 times the radius of Mars. The acceleration of gravity of the 6e.9ox bgnba :satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's s:5uuuq 73d hhkpcz4r m(+lv8 center, the acceleration of gravity 4kcp 3 dh+:hm8(ru5svlu7 qu zis $32 \; m/s^2$. 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 radiu e -;42dy) 3qkbixe8( qfksseps r. If the object i qe;xq(2psbedkif3 sy4)e8k-s raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight ;zvf yb )w8f9nof a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean 89bnfwz; vf) yradius 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 E1l ocxt77m 8bxarth's surface. What is the salo 8x1c7m txb7tellite's weight?

  A spherically symmetric plane z(cxd,ze4 g,lt 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 (dclexzgz,4 ,the surface of this planet?

  During a lunar eclipse, the Moon, Earth,l87jfu76xs*kl g7 l)na0b6 i hpbkhv3 and Sun all lie on the same line, with 0hj7hkgb8us*x6 ll vl pf)3 b767ankithe Earth 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 ball is hvb,e+2 )7ahu -p4t a/tt glkae5i04sk1u uxatransported 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 jy6). 5t ekn us8daz(mjust skims the sk . ) u5ds6atjn8m(ezyurface of the 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 about the Earth (i.e., it just s6ls ktgf pu 6k0l 0-dz38ne2cvkims the surface of the Earth). How long does it take to make one revolution arouv 0c03zp2k6ll6 gke-u8dstfn nd 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 the Earth. It (z 2vxi,mz(z gjl::oy6fz v7his observed to have a period of 89 min. What is the mass of the Earth? (The mean radius of the Earth is l( og7jzmyz6z:v(xf:, i zh 2v$6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diametoien 0-)lvasd.gqr 1- i,lj4e j-ga a+er 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 w2bl: mj5x)3cq)hb cu g vcdu8.ith 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 planet in n(oj6xobu 42 ghearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one ( 4ghj2ob o6xuorbit. How long does it take moon B to complete an orbit?

  The planet Jupiter i/xenj ya 9ve c6x/:fr)s $7.78 \times 10^{11} \; m$ 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 Jupiteu ao j7:(wy.hp4evt *mr 12 years to orbit the Sun once. What is the average dp:7(h vauow.e4ty* jmistance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)