Is it possible for an object moving with a constant i hofvdm- 2v6 +e4ozd0 q.q3s4 bahdk-speed to accelerate? Explain.kdohbem2v-.df4 +-i603 v szq4o dh aq

  Consider a particle moving with coukg 5oooeo yry;0m4*8nstant speed such that its acceleration of constant 40 *o u;rm 5okoye8oygmagnitude is always perpendicular to its velocity.

  An object moves in a circular path at a cc 41poio vhrafe*.6y(onstant speed. Compare the direction of the object's v e6i*hrvc4 fy(p1 oo.aelocity and acceleration vectors.

  When an object experiences uniform circular motion, the direc/vk-hs ait)+ytion of the acceleration ist)kv/s+hi- ya

  Consider a particle moving with constant speed such that its accelnx u p6i8/g1v cg(0kkgeration of constant ma(x 1ggpugiv80 kn6/ckgnitude is always perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed in a circul9tsjofp8 :vk l8 no(b9ar pat9okf:b89plj v (sn8 oth experience?

  What force is needed to make az5 oao5kz1,eq 4osc xu-h2 n7f u)z9mzn object move in a circle?

  When an object experiences u gx8ozc**lu)f niform circular motion, the direction of the net forz8oug*cxl *f) ce is

  A roller coaster car is on a track that forms a circular loop in the vertgak zn;dg b.ou 6c+ 22h s8h7-,rsccxbical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for itsossc z cxa 2-;kdcbh+b,g2n6r g7 uh8. centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms a circular loop (radiupo+r4t rg941bs 6bkj ms = 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 mgsbrbj 441to9 p kr6+minimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc until i,5, w jay.akhs*lhg j1+av 3s5ej*dqqt is going straight up. Just as the plana ,wyk3qh1je. h*jvsq +,jd l5*a5ags e 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 curve of 4e co,cvnbp j2n 12xh-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 goer,ak bezy guap8 +;+5ts 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,u+t, ;zy+5kbae pa8rg compared to the first time?

  A car goes around a curve of radius r at a constant speed v. Then it goes arh0 3dkq27mmdcsd ;t:r ound a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the second cu 23q7 0mhcrd s:k;dmdtrve, compared to the first?

  A car of mass m goes around a banked curve of radius r wibetvefzg 8jad6.50j: th speed v. If the road is frictionless due to ice, the car can still negot vf0.65j ta :bgeedj8ziate 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 samsq),zz.wvhg1 z e/ xl7 q,6pkve angle, but one has tkzs1,h)qqx/ zz, 76v vplg. wewice 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 safe speed on the larger radius curve?

  The banking angle in a turn on the Olympic bobsled track1e7a j05bcciibr))h yh;-2 mqq6ij nn is not constant, but increase5 ei2j760 jn1c-q;yqb) )ihrhnmc ba is 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 do this?

  Is it possible for an object moving around a circular path to have both ca t eg3nw5x,8sentripetal and tangential 8xt53a nwes g,acceleration?

  The gravitational force betfb5 2ju*nes0 mween two objects is proportional to

  The gravitational force between two ob( o, blcti2q+;: w c7aogtmxj4jects is inversely proportional to

  Two objects attract each other grafwmh4i olqax(zmvlk;;zq ,9n 7 )7 d3xvitationally. If the distance between their centers is cut in half, tz;xl,)wx dlmz4nkv q 9ha3o; i7mqf(7he gravitational force

  Two objects, with masse6ekai(wa l:d) s $m_{1}$ 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 masgc- v6psmhd7+ses $m_{1}$ 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 unive0f6r)* hll ie/m2ie kvrsal gravitation.

  Compared to its mass on3q,w)ih))cq 4a t yh pr38wsxu,pss6r the Earth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixth what*u *k 0xw9 yh/v qwh7,qcrku+ylca.6p it is on Earth. An objeccul 7rq a+*x .k/0v6huhy,q9kyc w w*pt of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away fmi v r5ob041vhrom the Earth's surface, the rocket's weight

  A spaceship is traveling to thej bv y*v19*xyh Moon. At what point is it beyond the pull of Eart*yv1hx9* b jvyh's gravity?

  Suppose a satellite were orbitidhpy* )w uch+nq xd8jytf8,mo:u,z*/ ng the Earth just above the surface. What is its ,nu+fyxm )8 zh/:wqp*d ,j dcyh8ou* tcentripetal acceleration?

  A hypothetical planet has v/s*t ug+hjw7s2w (k eh;f;0d .y ulkia mass of half that of the Earth and a radius of twice that of the Earth. What is the accelerjy.s* k27 0vwwigsf;eu(k + ;udlh/thation due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity ols.mm xmd5f e,60iea):m rp:qn the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mammems 6ariq:p,5d:e)l 0m xf .ss compared to the Earth's?

  Two planets have the same surface /rwda.dv9wq bp/b -+l gravity, but planet B has twice the radius of planet A. If planet A has mass m, w.v b+a /wr lw-b9pddq/hat is the mass of planet B?

  Two planets have the same surface g7j)* jareft6qqg5y3 0r;eyilravity, but planet B has twice the mass of planet A. If planet A has radius r, wh;ytijq73 ja5 r*g r )e6fqyel0at is the radius of planet B?

  Consider a small satellitel5s5 rv 4;0sti vwtxi7 moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satel i s7ilvrw;vx455t0stlite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotag/:evl;09 ,sz wgzlbc hs ,k4ftes in the same orbit. Compare the two satellite's speeds.flsbe4 lw/vzg0 k 9h:c,s zg,;

  A person is standing on a c l:9uj hd3ix0scale in an elevator accelerating downward. Compare the reading 9xd3i:cl0 ujhon the scale to the person's true weight.

  Who was the first person to realize that the ple iqrpdx e+i(r1vfzmc ayg62+-/1 2vnanets move in elliptical paths around p/ yei mnxv26e1iq+zc v-1(drf2ag +rthe Sun?

  The speed of Halley's Comet, while trave7. uja gak4ik8ling in its elliptical orbit around the Sun.u i8kkj a47ga,

  Let the average orbital radius of a planet be R. zmm;q 9/t1gsjry(4r k Let the orbital period be T. What quantity is constant for y;1jrmq(/9m t gsrz4k all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda03diej7wsjxb 8qoucd: n)t1gj-- f 4a, with the same orbital diametfj ijcj-8u dta4:w3d1ogb n-xs e)07qer 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 thev -esfc-7xne8u4sdv + Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is th74 -- c 8euxefn+vsdvse asteroid's average distance from the Sun?

State Kepler's laws.a5gh8ff s*ti,

  List the four fundamental forctkl-i09b5h zf es in nature.

  An object moves with a cons hp,ej66 u9ohl1jm5) hdk4wlztant speed of 30 m/s on a circular track of radius 150 m.hl9u)6ehd56,jp 1 hwkm zjo4l What is the acceleration of the object?

  The maximum speed around a ldza( t/+unso .evel curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume all other factors remain unut+.za /ndo(schanged.)

  What is the centripetal acceleration of a point on t9 zfbafk-(/m dt.8x 2/oyoynohe perimeter of a bicycle wheel of diameter 70 cm when the bike is moving/otykz a2/obxf -(o9ymdn f.8 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m f)6 btkshw7tgs 89kda 35m8 iplrom the axis. What is the ce 758ha d9kpml3tgi t ss)kw6b8ntripetal acceleration?

  How many revolutions per minute must a circular, rotating space statio 9y ;:ngxlm: xotb,0dohs*kwwwm+l*( n of radius k : w*sn* ;mo h,09xm:l(gwx+yl dbwot1000 m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goe9pgdw f fqoe924:p .kls around a 13.7 m radius turn at 96.5 km/h. What is the cenwgd2qlk.o9ff4 p9e:p tripetal force on the motorcycle?

  A 0.50-kg mass is attached to thez op-cgyc96 aijy7 jro)ea65. 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 the stringza6j)agce o5pj yo97cy6 r.i- is not to break?

  A stone, of mass m, is attached to a strong string an95t; bwp2q8y4sqaotd d whirled in a vertical circle of radius r. At the exact top of the path the tension in the string is5wtoq qb8y294; ptdas 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 strong string and whirled in a vert-7vcj(/p7d /zb.ccb g, xx. 4w6 xjs wus5vuvtical circle of radius r. At the exact bottom of the path the tension i /s s6tb/cx4vpcxvz 5vgc,ub7d .juw. wj-x7(n 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/s074movn;2l r )vj8az -zfklce experiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the pla klv;eo4l28cfr)j 0 7n-zvmzane is flying?

  A pilot makes an outside vertical loop (in whi, btooy2vj r 4r8cz8 n.wggt-/ch 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 with only one-half of hig v8-8torw .cjgoy2n /,trz4bs normal weight. How fast is he going?

  The maximum force a pilot can stajtpz:4 5:j+i(0)tt vtgulr8p/w;ny rt j; qisnd 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 4+iyji; tjtq0 :t8rjusp(;t)zn rwg tv/p5l:tolerate at a speed of 250 m/s?

  A car traveling 20 m/s romp/4f 2uo3y kbunds an 80-m radius horizontal curve with the tires on the verge of slipping. How fast can this cauymb2/k3of p4 r 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 c-;khg shm.cq1 5qbtd 5urve of radius 50 m with a speed of 20 m/s. The cent hbd;thq q- .cgs5mk51ripetal force provided by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curtgn+khw1y54 yj42p q qve of radius 50 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car to make the t4 gq4ypy1 +5jwh2qn kturn?

  A car is moving with a constant speed v around a level curve. sfy:-cnw66 *pfesy2 e The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve ifs y ey62* pwesc6f-f:n the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to nego8 y ee)rsb+x lx:p2g9q3a4 veptiate a 100-m 3p8rxg )eeby9+evl2s 4:paxq radius turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at ad 4zhik2 .. yqao bwz,s/tx(t9 $45^{\circ}$ 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 angle oe0p-(zvmh 8 ys6q4vie f $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked -z uca+oiuk:; 6(bd(y ch l+klat $45^{\circ}$. 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 jjy )sze vg,*0of a string is revolving uniformly in a horizontal circle of ra)0y,sj evgz j*dius 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 ing,l m* w+6//l yfmpwhu4 7dnkg the pit area, a race car accelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circlhpg 46/muyn/ dkmf*wg+ 7,lwular 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 s(7 yy1.jvp+mf9 r+ 8fbsdh: fpknf c*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 om b3u-q t 5/rnoahi(1dn a 70-kg person standing on the Earth, due to the Moon? The mass of the Moon isnh-/b5(mo tiraq3 u 1d $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two mas gwsyu;va:sd k )g+.symk8 h31ses is F. If the masses are moved to g+ysak;sug:8swm 1kv)3yd h. half of their initial distance, what is the gravitational attractive force?

  For a spacecraft going k/o(h5-kjhue5i k9,2kkeyf n 2z0rz efrom the Earth toward the Sun, at what distance from the Earth will the gravitational forces due t/hk knz5uk jf2(hye-k k5eer ,0o29zi o 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 Moon7fws 2rb5, wjv 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 Earthry dg*k y,/w)d equal to the radius of the Earth. What is wrd )k*/y dy,gher acceleration due to gravity?

  The radius of the Earth is R. At what dist6,zqodybn : 9qance above the Earth's surface will the acceleration n96qd,zyo: qbof gravity be $4.9 \; m/s^2$?

  A satellite encircles Marsl j )wd20yc:-ntjfva+ at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satelcnfl 2j v 0dtj)+a:yw-lite, 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 acceleratoe6yx6o 2o:5aitbc 0m h7msy7ion of gravity iooymeax0ohm52 77:s 66 yit bcs $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the sx 7q8 ck6ejx/kurface of the Earth. The Earth has radius r. If the object is raised to ax8k7k6xc jeq/ height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100x3:etktnain n784w e 7-kg person change when he goes from sea level to an altitude of 5000 m? (Th7tt38e7en: x4 nkinawe mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satelli98 b;qbpwff i/te of mass 100 kg is at a point 3r above the Earth's surfacep;fb wbfq/ 8i9. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth's mass and twice itkirad94(i,l dwq6 ei9s radius. If a jar of peanut butter weighs 12 N o k l,i(ar6ii 99ddew4qn 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 uwdn wzd emqj9(.c*2omvrq73i:6k1p all lie on the same line, with the Earth between thej zdno 3rw2 v:cm.7kwm69iqeqp 1d( u* 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 Moon. 1n0+j 0ydjp +qo tppk0
(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 the k-y,5lph+ hdr surface of the Earth). What is the speedhy 5 +dr,kplh- of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit aboutxt (scvv2+;:zd wl4 pjea: )cq the Earth (i.e., it just skims the surface of4 clw+ 2d:px)ca: je;qvvsz( t the Earth). How 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 cintqdtbtjyp 4m :;2;*0m z,n edrcular orbit 230 km above the surface of the Earth. It is observed to have a period of 89 min. What is th;;d*d4q,b2entp t:z jn tm0yme mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, hd9mum 5 is6/bggi7:sgas 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 radiu8asl0s 4 wg eqi0px*b0s 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 radius r79 c b86k5sed. e h2ppeqo+exk, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long d +eo .8epdq 2kbxeephcs796k5oes it take moon B to complete an orbit?

  The planet Jupiter is .nlb l s9c9xo1$7.78 \times 10^{11} \; m$ 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 Suf dh /avhwnb: buhb98m8a0ykf4 ;z3 i5n once. What is the average distance from Jupiter to the Sun: abhh3mufv/90 4hkd ;8fwzn y5ib8ba ? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)