Is it possible for an 7yz: u r4+1vzg2oawsnobject moving with a constant speed to accelerate? Explaia gwu+y2rz1z7so4:nv n.

  Consider a particle moving with constant speed such that its acceleration of 6b 67mqbtr pnan:26kgea+ *hxbtpzcj7q32 / iconstant magnitude is t aep/b: t36 mb7hxq7jncb662*rn +kpzq2 iagalways perpendicular to its velocity.

  An object moves in a circular path at a constant spksq8t1m2yt ruc//g8k eed. Compare the direction of the object's velocity and acceleration vectorm2k rtyc/gtq18s/ 8ku s.

  When an object experiences uniform circular motion, the direction5j*-:yyld kxze1 .dtd of the acceleratiol.-dj:1te *yxzydd k 5n is

  Consider a particle moving with cont- iho:kuh8 6) -8itxw4hs*dxfn qj(i stant speed such that its acceleration of constant magnitude is alwayuio h t4khtj:wd-fqini *h)6x8 x-8(ss perpendicular to its velocity.

  What type of acceleration does an object moving with co/d l2 yz6uan,gnstant speed in a circular pz2d/u ,a6ln gyath experience?

  What force is needed to make an object mover8qnt ejclv+0 1+k 6nr in a circle?

  When an object experiences uniform circular motion, the c+;nofd dxi9kxp. w2j8gc40tdirection of the net force px+2jx. co ifnk9w8d; gct40 dis

  A roller coaster car is on a track thatks 4*zra *qyhq-vorj *wva26f(6 bd 3u forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of thery uswq46*kq-haofv6r3 j*( d z2av*b loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster carcxytirk9748 h y8 wx/p (mass = M) is on a track 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 sp8tyy h p4i8kxrx7/cw9eed at that point?

  A pilot executes a vertical dive then follows a sem-9q+ afd+ nx5iyf m8zf:odf:ki-circular arc until it is going straight up. Just as the plane is at its d+zfm:-dkx5oi qn 8a+ff9:fy 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 :x*k wov3rp-+fw 6s tkcurve 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 const 5oabfcfh1 5 1okp2in+nsz /d)ant speed v. Then it goes around the same curve at half of the dba)i2hc1zo+n/1of nk5f 5 sp 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 radius r at a constant speed v. Th 7i.1d,g tvxiyen it goes around a curve of radius 2r at speed 2i vi7dxg.t1 ,yv. What is the centripetal force on the 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 with speed v. If the r3k pm,km4*hg.uuwk--ci aszer6g- 7pj6tpd 4oad is frictionless due to ice, the caskdh-ma zm6rwk-t iep.j 7k- g63ug,upp44*cr can 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 on a bobsled rgffn0r(1 g rj1un are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on th1fnjfg 0 g1r(re run) for the smaller radius curve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bo.pynf 3aw;,hyp,c s4uv5v /jsbsled track 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 of the turn. Why do they d,uh;fn3j pay/ v vssw yp.c,54o this?

  Is it possible for an object moving around a circular aa69ij 9kxc*rkv;zb7path to have both centripetal and tabrv7 kia9 *acz;j96xk ngential acceleration?

  The gravitational force betweenggf zoscu1) i7l20th1 two objects is proportional to

  The gravitational forcxwp cz4e)*p+d e between two objects is inversely proportional to

  Two objects attract each other gravitationally. sk2)shm r lusqy+b +)(If the distance between their centers is cut in half, the gra m+ ()shky +lsbrusq)2vitational force

  Two objects, with mass9tv vy2je9 vb29;ehi7; c/ozl52nqopzfkt;ges $m_{1}$ 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 masses8evs8q(sop i0 $m_{1}$ 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 o4su,v gj:u(pe1ih+2 up 2s nqhf universal gravitation.

  Compared to its mass on the Earth, the mass of an object on thee5v6i/x x5f f2hp5idi iv0xf4mp a+,j Moon is

  The acceleration of gravity on the Moonf7 3yvlgs5k g2 is one-sixth what it is on Earth. An object ok 5l gy3gsv2f7f mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rockq42s.s mvk,r wew zr(.et's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pul+q d,jm8lde9n l of Earth's grd9qe jd8,m +nlavity?

  Suppose a satellite were orbiting the Earth just above the surface. What is/ 6syf)y dvqh e:kg-)s its centrfyeqvgh-6/):dksy s) ipetal acceleration?

  A hypothetical plane*; u ix0wayy4d -+;uhuqo jp tg-hbj),t has a mass of half that of the Earth and a radius of twice that of the Earth. What is thh-u;),;+t u4ubx0hdyj awpj y *-qi goe 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 on Eaybxq t4ti2.r8rth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's massti8bqy xr4t.2 compared to the Earth's?

  Two planets have the same surface gravity, but plai0* * jhvrxlei1o w3j3net B has twice the radius of planet A. w*ji v 3l*ojx031 hier If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gra8-ufycr h x))iif)2ysvity, but planet B has twice the mass of planet A. If planet A has radius r, what is thexufyi -y2)f i )8c)rsh radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a spherr5m9r:fho- i.p i hnr:ical planet (mass M). m9hi pr:5:ho-ir. rnf Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotat,bjmj 2+cms0(y ih *ctes in the same orbit. Compare the two jhjtci2b(mm0+*,cs y satellite's speeds.

  A person is standing on a scale in an elevator accelerat5t r;qffa ,/7fj ,oft2atl5t aing downward. Compare the reading on the t fa7f ,l2totr/,fafj;5 t5aqscale to the person's true weight.

  Who was the first perso pe(tm6*llgxnt12 xt 1n to realize that the planets move in elliptical paths around the Sun?g (* 1eln1tt2x6xpl tm

  The speed of Halley'ssm-kla*y(k q: Comet, while traveling in its elliptical orbit around the q:mls -(*aykkSun,

  Let the average orbital radius of a planet be;9u7vm.ql6b 5g dxph n )v2kiq R. Let the orbital period be T. What.qv gqbu96nh k5vxd l7)mpi2; quantity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the npfnwc4y o:-8*b23 qu+ nv qmmgalaxy Andromeda, with the same orbital diampu83nv ncbq-mw+f4o2 q*mn y:eter 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 period?

  The average distance from the Earth to the Sun is defined as one "astronomicak2lk5 gqi:n; u l6v5ihl unit" (AU). An asteroid orbits the Sun in one-third of a year. What is vhg 5kll ;5 2iqinuk6:the asteroid's average distance from the Sun?

State Kepler's laws.tyzw43v 73d hp

  List the four fundamental forces in naturwuln +52ylrya4 -.qd ae.

  An object moves with a constant speed of 30 m/s on a circ jo29c;4xgfzhyg:lt. v*np+ g ular track of radius 150 m. What is the acceleration op;ogtf.xggy 4+jh2nc* 9zl:v f the object?

  The maximum speed arou)0n ; 8bt4,9bqeytokg,qg gv8 (wqzdhnd a level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factor08( bndtqq8gqw;)y , tkz4obh9gev,gs remain unchanged.)

  What is the centripetal acceleration of a point on the ww-9 mf.jqshmge(2(p perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0jsmh2-wq.(9p g(wefm m/s?

  A point on a wheel rotating at 5.0yuidfg(rnw94 qbr os p6u2v ua5r-67(0 rev/s is located 0.200 m from the axis. What is the centra n suvr4 d(yw6r u(6bq7-pfr5o9 iug2ipetal acceleration?

  How many revolutions pe yj)+a -+tktewr minute must a circular, rotating space station of radius 1000 m rotate to produce an atjtya-e wk )++rtificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius turn at 96.5byt b:s+v6ls-7k +r wo km/h. What is the centripetal force- s6r+7o +sblkbwv :yt on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The syst(;;),vbv+sbjq(rx g xkq3- x8jy a shqa *zdg7em is whirled in a horizontal circular path. If the maximum tension that the string can withstanh; )rygqsvqj8bvb;*ka +3g7x -qs(aj dx( xz,d is 350 N. What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, ins:z,gcm-4di9iqp2 o s attached 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'sm-4cnqp2 o 9is:gdiz, weight. The stone's speed at this point is given by

  A stone, of mass m, is attached to a strr:71iuxaa j*y1/uz-b hvx p- iong 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 stone's wpjz1xaaiiu7*uh: 1 y -b vxr/-eight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration ( mt(lp8:zqpt of 4g when pulling out of the dive. What is the radius of curvature of the (8zqmtt( ppl:loop in which the plane is flying?

  A pilot makes an out0 x/.eevy+p tjside vertical loop (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat ey+jx.et vp0/with only one-half of his normal weight. How fast is he going?

  The maximum force a pilot can s;.vcmsuane .(pb9j6 :m5g/iofb j* hmtand is about seven times his weight. What is the minimum radi(j.nbm *;6ib m a.gvemuc p9hojfs5/:us of curvature 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 curv8 (xowi,qwlj- 2s,pi(6 w9u izvu ki(le with the tires on the verge of slipping. How fast can this car round a second 2xuq ,wjo (li8- 6(iz kii,(s9wlpwuvcurve 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 cf0xk ;* .hlzd:fuk ix5urve of radius 50 m with a speed of 20 m/s. The centripetal force providzf ;xuxkki0ldhf* 5. :ed 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. What musfu )oyp1btn;j, yoso4 boke-h(+ o*6ut be the minimum coefficient of 6h b1e, j osy;yt*4-pf(k)ouo nob+uofriction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v arm0)fl ro u+v/mound a level curve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if the car if0m) l/m+rvous to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to negotiate gi 4zjw* h7nqx,kt 7 4jtro:ud*n m+e9a 100-m radius turn at 35 m/s without skidding? (Ignore fri:o+nht*r49ut k je m j d,7zg7*4wnxqiction.)

  A horizontal curve on a boy*; *v4lq +aus f u,rftf27b/tarizg9bsled 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 angled.anjqfk: 915d4 9xyk0p vpxk of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banca08p(t 3r sizked 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 unifoo: d f ib:sgvb0+*agl/rmly in a horizontal circl:a: 0i/g+ volsbf dgb*e 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 area, a race car accelerates c ir(lb jhsq(q* cra0 adm)gg).2a* 7 9qm5qlrat a uniform rate to a speed of 45 m/s in 15 s, moving on a circular a*hrqil qrc 52(da* ragj(0l c)b7. gms9)q qmtrack 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 matxk q e*);lec6ss $1.67 \times 10^{-27} \; kg$ 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 aeqt/oy78v .oe 70-kg person standing on the Earth, due to the Moon? The mass of the Moon q e8o7eo/vty. is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attrack0 *te h,gf 3ddzgic2g-n *k*8wx) hs yw,uow8tive force between two masses is F. If the masses are mov *d *3wz eokh*fusyk idcwthgwn 2g0 -,g,88)xed to half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sun, a pr:j2uhkj+u0t what distance from the Earth will the gravitational forces due th kjr2u: puj+0o 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(vh x6sb:zh2:clu 76nh ejr/d 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 distance above the Earth t6uwzvo *1,w;vqi m( aequal to the radius of6z(uowiv1; ,wvmq t*a the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth'sui vu r6rhoct 43si:*l4 z-h5d surface will the acceleration of gravit u5o riuihrcv:3*4h64- t ldzsy be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3,4if5z b4k2 +sjaq :b bd0yghd times the radius of Mars. The acceleratis40 dbz ag 25h,b kq:4f+ydjbion of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planetn ;r * )-mir3a/w mbtriiuo d80fb4+qx's center, the acceleration of gravity n m ob/rr)ixf4mr0ud-3 w tq*b+ia8i;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 has radius r. If whvdh,6 dcck c s/1,3w fnj5i;the object is raised to a height of 3r above the Earth's susv 1h dik/6cw5d c,;nhj3wfc,rface, what is its weight?

  By how many newtons does the weight of a 100-kg person change when hqi/*m b+p- fi3tlco4 je goes from sea level to an altitude of3 bimc4 /lpt+-i*ofjq 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 abovek. r9 u3gugo)c+ymgu * 2mkc6b the Earth's surface. What is the satel +oygck)u6gu2mrkg u*b93c.m lite's weight?

  A spherically symmetric planet has four times the Earth's cwo(hh1p 36gl*.hnbfvq)icqrr5 o : 5 mass and twice its radius. If a jar of peanut butter weighs 12 N on the surfabolognrcv)55q1 6qh.hhf :(icpr * 3w ce of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, t1tmjw/s;kpfp gkk :) .he Moon, Earth, and Sun all lie on the same line, with the Earth betweenkpk/sm ;tf1j.)w:pk g 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 transported to the Moosu-4ktg dm gwl2kf( 3,n.
(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 skims thej 2pyc ;fxd7gn6jip31 surface f1jp;j xni y73dg6cp2 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 (bcmr*m:zc9j*kxai: 4. wv 7kuw dpf6low circular orbit about the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radius of the Earth is ::*4j(zvpw fc km.cra*kx76uwbd im9 $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of the Earth. I /vfjfv,w3x;at is observed to have a period of 89 min. What is the mass of fa3;w,f jvxv/ the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupsx rsf7 -sh0/uiter, 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 rad8e1,ujw1x ; v znmv2)d. mhu*ae wbl(wius 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 orbital r:)9s x1anylnbro + 6qxadius r, and moon B has orbital radius 4r. Moon A takes 20 days to compl1x:9 l6borsnn qy xa)+ete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is(2 csn0 9yh;i,gefejr e-k hl* $7.78 \times 10^{11} \; m$ 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 J p zf bx;h(l32 ajb0h0js8*ty;2agbj aupiter 12 years to orbit the Sun once. What is the average *zb0 f28blxja(0taap3ys;;jg b j2 hh distance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)