Is it possible for an object moving with a constant spemg68sl-b133 df m raoeed to accelerate? Explain. dsmem 3ga bo1-r83fl6

  Consider a particle moving with constant spdbds) t2pjdeub7;,trk73 k jua1n.c8eed such that its acceleration of constant magnitude is always perpendicular to its veloci77r ) 8bp csduj1 ktkn3t; .abeud,d2jty.

  An object moves in a circular path at a constant speed. Compare tt 1(2exw 3kchage)c p0;0yfu ahe direction of the object's a)f k(c01ey tgcx0;h23uapewvelocity and acceleration vectors.

  When an object experiences unifk8 *8q; e0 serwwjyl0qorm circular motion, the direction of the accelerlq k8e r;8eq0ys0jww*ation is

  Consider a particle moving with constant speyi+xnel3.m 3.ap5 vggw ,j/ kfed such that its acceleration of constant magnitude is always perpendicular to its vejxk.,mg+lwn v5gp3eya3/f.i locity.

  What type of acceleration does an object moving with constant speed in a ci:t-oto(drx d hz *m; z.9vm(gnrcular path expm: *o( vd tdgr. noxtm-zh;9(zerience?

  What force is needed to make an object move q v91qvn +,fyskd9q 9qin a circle?

  When an object experiences uniform circ *85ra(ifv 8vz,hdek mular motion, the direction of the net forc(h*d8ev,m5a 8vi rzfke is

  A roller coaster car is on a track that forms a circular loop in )rf8 7w*r.vpjc zjev5 the vertical plane. If the car is to just maintain contact with track at the top of the l.58wevj)rcz7 r*pfj voop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on ( f4o ;rc,zzu gk)0hsda 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, wh(ruz o,hgs kc; )z0d4fat is the minimum value for its speed at that point?

  A pilot executes a vertical dive then follo bk.ta qt-u2l,ws a semi-circular arc until it is going straight up. Just as the plane iskb.t,lq2 -ua t 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 )at/ f-of 5hjlof 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 radw)c-bhg on)* qius r at a constant speed v. Then it goes around the same curve at half of the original speed. *c gon-w) )qbhWhat 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 si pm- + vn89q5.chjcubpeed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force o95civc up.qh- +bn8mjn 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. Ifq ag8xpwwff 3e k5+oj jal4 wt))ez:;7/qie6s the road is frictionless due to ice, the car can still neaj )gf8qwozxiks+w/:7 ete4;p36 )eafj5 qwlgotiate 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 run are banked at the same angle, but one)pwe d55wiz2/y:rtxx has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radius curve i5 )yw5 wi:x2 pez/txdrs v. What is the safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is not c ,*dze76ez ddgonstant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lddz,*6d7g z eeower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular path to ha npx/4 m pl.n(ltwzop6biza,sw 4 r22;ve both centripetbs,l2a6n2z twl pi(/ow mzn p.4;x4r pal and tangential acceleration?

  The gravitational force between two obje 0of49 tg nt7ovmezr)1cts is proportional to

  The gravitational foxx-d2eky3z4+ e 1 jdwlc4kk: crce between two objects is inversely proportional to

  Two objects attract each other gravitationsw *0v9rs3zb7 mxice,ally. If the distance between their centers is cutb *7sweixv 39s0m c,zr in half, the gravitational force

  Two objects, with mas(hjxds3h7 a5 bses $m_{1}$ 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 magt nj1qi 3qc52sses $m_{1}$ 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 ofxel/( dh a05p g(.ylzmf2o2xl universal gravitation.

  Compared to its mass on the Earth, the mass of c;iv y;vw ;z-oan object on the Moon is

  The acceleration of gravity on the Moon iyvk8:z3,fpbx tu8wa(5/3gd *ov vsa vs one-sixth what it is on Earth. An object o/8gv k fax83 v(v*s:wvpbtoyz,d 53auf 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 (jiep(aklf ebs:+r91's weight

  A spaceship is traveling to the Moon. At 8)db+4hrq xmb what point is it beyond the pull of Earth's gdbh)r8qmxb4+ ravity?

  Suppose a satellite were orbiting the Earth just above the surfacfhbg67 y6:ve 3d jwoghl)y(r8e. What is its centripetal accelerh fgdol 6ye7rjv ):h 3(gby6w8ation?

  A hypothetical planet has a mass of half th. 7brs 7do8cgwat of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in o8rbwc sg7d.7 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 Eartgbnkw566inq6 q-c x zmd 7o9wfoc/g 2+h. The radius of the Moon is one-fourthdm cwx6-q i69foqg z 2g6wkb/n7onc5 + 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 the radius of is)m b3en2wl+0muwb yyp3 bulfe;(40planet A. If planet A has maui yub3ny43l(m 0sm; 0+wp2 fbwe)ebl ss m, what is the mass of planet B?

  Two planets have the same surface gravity, but 8f/1el, ulzm iplanet B has twice the mass of planet A. If planet A has radiulzie,lu1 / mf8s r, what is the radius of planet B?

  Consider a small satellite moving in+om vm;*tbrm;ef 4m4w8:qh jiy p c0v+ a circular orbit (radius r) about a spherical planet (mass M)vm jp:t*b4 ;8 rhim0w4;mqo y+fc+ mve. Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orb m ,1gkd)pwx)a0 t:qdmit. Compare theax0q t)wdp ,gdm)1mk: two satellite's speeds.

  A person is standing on a scale in a ow48df01 wc3z8)8bzf hvmzch rw kp3.n elevator accelerating downward. Compare the reading on the scale to the person's true we88b1z.hp 0zzm) 4vdrk w wcoc8 fwh3f3ight.

  Who was the first person to realize that the planets move iczj88 v1 p0wqxdeh5 d;n elliptical paths arodq px v5j;dhwc018ez8 und the Sun?

  The speed of Halley's3/,tn9 9g tmu*njman y Comet, while traveling in its elliptical orbit around the Sunn3,jm9a/ *mn u 9yttgn,

  Let the average orbital radius of a planet b:/x ( pf7qof;xv6d44bas xpkde R. Let the orbital period be T. What quantity ixop sd qvb/4;k6 47 xf:dfxa(ps constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in thm5 8 p6zf6liohe 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 revol85o6 zm6ilp fhution 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 "astronoho,gy054ytm i j )uttwfbz 55,mical unit" (AU). An asteroid or5jwb0u)zt5i,hmgfoy5yt t, 4 bits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws. ;k;chx2br/wx

  List the four fundamental forces in nati 0zwbiu qc37)ure.

  An object moves with a constant speed of 30 m/s on a cirqi7uy*+h ec8wcular track of radius 150 m. What is thhw+qy *e87 iuce acceleration of the object?

  The maximum speed around a leve nv/:crtgmr(a)ip r73l curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remain unchac)rr3t7 r(gp m/niva:nged.)

  What is the centripetal accelertd :z8r2)2qhlp6b nr cation of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is motl62b2:qr drp8 h)nczving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axi9mve/7tb i - e7i6ojvks. What is the centripetal acceijv6ike7 t o 7em9b/v-leration?

  How many revolutions per minute must a circular, rotating spacemt4(;hhu/ g wdfn+.eq station of radiude (q;uwg 4 nt/f.+hmhs 1000 m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of i* d9 fawxhhww;6/ude lxt-2 (250 kg. It goes around a 13.7 m radius turn at 96.5 km/h. Wd*wxaww6u-i hx(;e2 h9fd l/that is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached *nb9:x6rzc /8 llpp; hhkc.py 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 th*z p .pl8yphrcx;cl:9 h6n k/be string is not to break?

  A stone, of mass m, is attached to a strond t6zfm ) lg+2zwyx: q 2zr4bj0-uzv8ng 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. The stone's spee+0yz j2vzqwz:g8)dn r lzu2 tm4fx-6bd at this point is given by

  A stone, of mass m, is attached to a strong string and whirled in a vertical cia zawrn 1 rv-6(s.ylsco,8 i.crcle of radius r. At the exact bottom of the path the tension in the string is 3 toraz6lc israc( ,wn8. v -.1ysimes 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 puos/-bay lu4o( lling out of the dive. What is the radius of curvature of the loop in whichulo( oay4/ sb- the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop i6lb+ ej1j eepxg w*vn;:il .5os beneath him) of radius 3200 m. At the top ofg+e1 6n;v:oxe pjweil.j lb5* 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. Whaj2iwdpv7jpi),swg w 8o (3z 6qt is the minimum ra q7)68ozjwvi,2s3w gj( pp diwdius 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 8064cu aytfy eva2 j9k1,zfjn5--m radius horizontal curve with the tires on the verge of slipping. Howt,ev2zj1y6 -5a jn cffay9ku 4 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 w;bnjf;p/ *x2tnlb 8x7mx w. iaith a speed of 20 m/s. The centripetal force provided by friction is jn8 xl tb*fb.wxai;;p m/2n7x$1.2 \times 10^{4} \; N$. 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 mustn:wbys4ek7z; viws/ 8 be the minimum coefficient of friction between the tires and the road for the car toye8 zvs:bs4wk n7;w/ i make the turn?

  A car is moving with a constant speed v around a level curve. The coefficw r q d*.c/)k1pb+;l tf6wiiqcient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if the car is to stay on the rolbf;cc* q1 k t6/ pr.q)idww+iad?

  What minimum banking angle is ,*eyz e dk.,;+bkbmtch z,x 1b4qx uw4required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore frictioy,z , x1kdcwbtb+ku 4b,*;q 4xme h.zen.)

  A horizontal curve on a bobsled run is:efwe*u e bmu k5:ek6) 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 angl :ug:vtqs/wp0nzr+p. e of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bankegu *9( 6helhlsd 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 sdh vf v8 e8/r2 tg ;p77j3c8nm+xfcnjutring is revolving uniformly in a horizontal circle of radius 0.5fv3fxetj+u2n gccj88 8dp 7rh7mn ;v/00
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 rateeq6i- cf-/xm fr ;r-fe to a speed of 45 m/s in 15 s, moving on a circufe -icfqxfm;-6-r /relar track 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 massq .ju.husqgw2rc p,uee/ )d,- $1.67 \times 10^{-27} \; kg$ 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 t7rkvy-ndvi fe882 e x/he Earth, due to thev -eifev88rxky/ 2dn7 Moon? The mass of 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 betwui bu1 :r5-fgge 3:9hu5 ensqceen two masses is F. If the masses are moved to hrq9feh u :su1ib:gu- c 35en5galf of their initial distance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward the Sqqd- m4s pzu 5fqe1c/jz(ua45 un, at what distance from the Earth will thejq u zz5 - pq1f/s4a(due4mqc5 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 Moontm7 ci0kcky)m4 -qe0r 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 abov 1yx+ (0 cug,fs+kxrgwi-o t6ce the Earth equal to thec6(os++g,if0 xyctrx 1-kw ug radius of the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distahpae di*y 5+ /acxl4e,nce above the Earth's surface will the acceleration of * 4yaal h ,xcee/p5d+igravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 35blhjmf.,vn(x7bw tr;(g 0ck8 fg0ac times the radius of Mars. The acceleration of gravity of the satellite, as compared to the ac nc;8rajlk5fmtxgbf( wc(0bv.,g 0h7 celeration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's centsb f6i awj.t9clq+c8,er, the acceleration of gravity is c w+jf8b9l, a.tsqi6c $32 \; m/s^2$. 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.u;-fort7+pv l ri vs(: If the object is rr p-(:rf slo+;vtv7uiaised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-n1f(6f.dwl yx,q6 gdl kg person change when he goes from sea level ton6.ff q( wlg ld,x16dy an altitude of 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 p;l9/z.nn+nanzb ct r/oint 3r above the Earth's surface. What is th;c//nn9t a nlzz+. brne satellite's weight?

  A spherically symmetric planet has four times the Earth'sy 8bygr or vd jqxf:i,)g;.()o mass and twice its radius. If a jar of peanu))f (rjqi.oyg y8v,g b odrx:;t butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on theuj1 j s6bo)qhn+ lg8(a same line, with the Earth beql8j sn1 (uo6ja)hbg +tween 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 theo7 kemk5 +gj:q 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 circ hwmn + j. s,0mg/;)eivcyrg.cular orbit about the Earth (i.e., it just skims the surface of the Ey) 0chn;swv/.m+ .ecm,irgj garth). 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 lohyg1f qrr36 1lw circular orbit about the Earth (i.e., it just skims the surface of the Earth). Hfl1yg q6 h3r1row long does 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 above the surface of the Earth. Inu;m+i 8tu(u.l7v og)( xvhbq t is observed to have a period of 89 min. What ivmgv (ui( b8ul)o; +unxqht. 7s the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, h, -f6lyq; )s )ifwfeyhas 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 wituhn uu bk)jj(z*y758nh 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 nearly circular orbits. Moon A hsyn a68mn2iu4as 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 comp u8y ns42mi6anlete an orbit?

  The planet Jupiter inp ead ve) dg2a8f:v96s $7.78 \times 10^{11} \; m$ 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 is e yn.p)g2;efq the average distance from Jupiter to the Sun? (The distance from )g ee2nyqfp; .the Earth to the Sun is $1.5 \times 10^{11} \; m$.)