Is it possible for an object moving with a constant speed to accelerate? Explm a,falt7q )g13pqhgx 57p-btain.)gah,77tb3p f- qam1 g l5qtxp

  Consider a particle moving with constant speed such that its accelerati)z-fl mvkc* t0on of constant magnitude is always perpendicular to it )c-mtk f0vlz*s velocity.

  An object moves in a circular path at a constant speed. Compare the dirjg7)26xclfw hw/*q u+h atg 3olsg.w0ection of the object's velocity and acceleratihtww 67l*f gchxqj g w.+0u s3o)2al/gon vectors.

  When an object experiences 6 0lxkyt 9b.ui+-pyzl uniform circular motion, the direction of the acceleltu. x0k +bi6y zy-lp9ration is

  Consider a particle moving with constant speed such that its accelera 0 6ql0k jjlq3mvnl6/etion of constant mag n e0v3j0l/q6qm 6lljknitude is always perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed in a cix7x-sxta,p )8r +erci rcular pasr e+78txixacpr )x ,-th experience?

  What force is needed to make an object move in a circv(zy u2;7a r)e4iexlale?

  When an object experiences uniform circulyg 1+ e0/*ega b4sniplar motion, the direction of the net forc /l g*1ia nse+40gyepbe is

  A roller coaster car is on a track i+ 8:iyd6jggathat forms a circular loop in the vertical plane. If 8 gi+a6ig: jydthe 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 that forms a circular loop (g3x m22 xh4u9xxsb :daradius = r) in the vertical plane. If the car is to sbxxxd:2h4x9 32gaum just 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 vertical dive then follows a semi-g+s28bf1ofglh7h) (;o 1vu t*qio rldcircular arc until it is going straight up. Just as the plane is at its lowest point, the force on him is 1ogloufh 8rvtfglo* b(d);is2 h q17+

  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 radius 0,.,j3kww cd 3rjpy f5u hjch9$r$ 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 s+l 976. nuqt- wl wgtlt4i,qoapeed v. Then it goes around the same curve at half of the ori. 7ta,-+ltqil 9 n4wgutlo6 wqginal 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 rado sf 0x7gvv, g+7:bxriius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on t+ i07:vx fxgo,bg srv7he 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 saw 6l /nos7 iwj8qvw;9peed v. If the road is frictionless due to ice, the car can still negot96j a7l s/oivq8 n;wwwiate 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 bnum.ru4 3g1 ckt7 p6okh: 5krhobsled run are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction neededm upgk 64r rnc7 3:uoh.tkh15k 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 tradidwtfe:c / 6zh r,,8sck is not constant, but increases upward from the horizontal. 8c,z t ,fehwsr d/:di6 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 objls81q5 e- wnfrect moving around a circular path to have both centripetal and tangential acceleratiof 5nle1w qr8s-n?

  The gravitational force between two objects is proportional pn aqv3of 0zzrju1 6zjw:y.nf*9t(*f to

  The gravitational force between two objejlz 8v)dft x5 p*esd09cts is inversely proportional to

  Two objects attract each other gravitationally. If the distgtc8e 3z d4;l) wjewv + :2ai.jjt+cohance between their cente:at4z 3ic we+tojg j.d+)vlch we8; j2rs is cut in half, the gravitational force

  Two objects, with masses 6erudm c ,.5hw$m_{1}$ 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 massepd ,l7avk46ua+zsdjih :b so.-;ii x9s $m_{1}$ 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 ofpe( gszga vp b66-/,yz universal gravitation.

  Compared to its mass on the Earth, the mass of an object eoc; ay0l1 1bnon the Moon is

  The acceleration of gravity on the Moon is one-sixthf)won;w d5 5wg what it is on Earth. An object of )f odww5g wn5;mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Ear2l/ y 9i 3+kry3cgtbipth's surface, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull d)+ of1cu ,nsym2rpn8of Earth's grao mydn8f ru2c1p,n+s) vity?

  Suppose a satellite were orbiting the Earth just above the surfab s(2bbx q-c2y/dp5 ycce. What is its yp5y(2sc -/2bqcx bdbcentripetal acceleration?

  A hypothetical planet hzcc -l(2ycai9q wb+y 4as a mass of half that of the Earth and a radius 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 czba l cyq2(4-c+iw9 ythe Earth?

  The acceleration of gravity onn1ub 60 zcu(jgzohw/-6grxd, the Moon is one-sixth what it is on Earth. The radius of the Moon is one-fourth thawz0(cuj, -dgh1on6/xrgub z6 t of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but p thfzzk++19:q3mw5l,giyqa qlanet B has twice the radius of planet A. If pla51, aqg+fi9lyqzkz +qmw 3 th:net A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twice the mass odo mcc94z2w::hr jsh :f planet A. If planet A has radius r, what is the radius of planet B? 9czwms::h jh:4 rdoc2

  Consider a small satellite moving in a circulyy;x 0:sgoeu pe 9*6yp pjeg*2ar orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbge*x; :p0yey 2 ospp6u*g9yejital velocity?

  Satellite A has twice the mass of satellitey,uf v*nr-z2 :y2wjy:zgv7os cd3c-m B, and rotates in the same orbit. Compare2wjs- o72vfmz3*g-y ycd zn,: rv uyc: the two satellite's speeds.

  A person is standing on a scale ir 8jlz8wx7p ;6fs ta8in an elevator accelerating downward. Compare the reading o j;pxz8a687twfi r8sln the scale to the person's true weight.

  Who was the first person to realize that the planets move in elliptical pathsb7; 5eep0fj1 1rypb0,u tzm ws around t brw5pe u0;s,e0 1zb7tp1m fyjhe Sun?

  The speed of Halley's Comet, while traveling in its ellt: x35+sek4:q bc j(lnttumh )iptical orbit around the Sun,tln5txtbs k(3e : q4:c )muhj+

  Let the average orbital radius of a planet 3bdjb*bz2ymv7vof -4 be R. Let the orbital period be T. What quantity is constant for *v7bybf b2mdv- 4j3 ozall planets orbiting the Sun?

  A planet is discovered to orbit around a staxye: d4cj os/)0cw0tn9m ;rfi r 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 xi9cn/)o:e0s w 0f dcrmjy;4twill 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 is1ze7j qjq) g-7kg hbf.-- rgwl defined as one "astronomical unit" (AU). An asteroid orbits the-q )q .rw-ej-gj7l71k fbg hzg Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.x5m vpps3h,g +

  List the four fundamental forces in natur9qk34 ri+ )7ummq4qo yo*ygdr e.

  An object moves with a con 6up *s 7m,dwlh 3:+kl.qifsdgstant speed of 30 m/s on a circular track of radius 150 m. What is the acceleratim7di,3l6 ss q.lkwfudph +:g *on of the object?

  The maximum speed around a levelg2p dqqd(9sn p4z5y)f curve is 30.0 km/h. What is the maximum speed around a curve with p)9gfq yq dn45z2sdp (twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the pei lz,dc-f6p0ckmg8 c.rimeter of a bicycle wheel of diameter 70 cm when the bike,0mdcp gczi .lcfk68- is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0x cgzjk*wy ,76.200 m from the axis. What is the cey*x 7w,j6 gczkntripetal acceleration?

  How many revolutions p3g b;sjrtv9 m :j3q(vker minute must a circular, rotating space station of radius 1000 m rotate to prt 3:s9 ; kjmgv3jvbq(roduce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 xhh .+tr:t43 snecal- fa ,e7xkg. It goes around a 13.7 m radius turn at 96.5 km/h. What is the centripetal force on the motorcyct:ahht s .f lera3x-7,n4ex+cle?

  A 0.50-kg mass is attcrm4:y 6x)edo h ;en;m7f zzz4ached 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. r;4xnd emfcm4zzyoz) 76h:e ;What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a stros)y-01 6wnz.uwuxn v cng string and whirled in a vertical circle of radius r. At thew)nc01vuz u-n6. s xwy 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 attached to asti9:tsi (ez n-w.e8j strong string and whirled in a vertical circle of radius r. At the exact bottom of the path the tension in the string ni8.sjs weett: (i- 9zis 3 times the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s et/44fs09yw; klka 8x0thakz lxperiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop ink4s4;0ak9l0ahz / fyxkwttl 8 which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of th3q ) pn0w qfdplhqj* +)fk:vi/e loop is beneath him) of radius 3200 m. At the to w: qli) 0 kpq+jqfd/hnpvf*3)p 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 times his weight. What 0sy94ji8 rlci is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a ri 80yi 9l4sjcspeed of 250 m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with thnc :a+ zkz3hp/c:p,f ke tires on the verge of slipping. How fast can this car round ahkzkf/,n+ zacp :3 :cp 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 n 2p jj53rphes,g 6(qq+.hjr cof radius 50 m with a speed of 20 m/s. The centripetalgje(p3cjs5 2rqh , 6.phqnjr + 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 of 14 m/s. What muswytv wlw5tka +m5p1z1le b )(/t be the minaz +1m)k1 vyp (wl5 e/b5wttlwimum coefficient of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v around a level nal; 6jc1ywf)gx :c(tskp(, vcurve. The coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if a,c p;tx:lf)g kw 6(sn(vj 1cythe car is to stay on the road?

  What minimum banking angle is required for 2k1yvp,ukdy io04iv 92 sx764vz ao knan Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skiddinvokdy ai0o49p47ki, 2vxv61yzn2 uk sg? (Ignore friction.)

  A horizontal curve on a bobsled rhz)jjpqhab5 s )z8cziq61 6 7mun 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 pr3y y;7 upbots1l.0nan angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked at,8xd(p u5x hhf q4;iyf $45^{\circ}$. 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 strinc/l +c*du)nkn g is revolving uniformly in a horizontal circle of radius )+ nn*dc/l cuk0.500
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 acc w x qakc 2592n1z3z/cv*zwoxpelerates at a uniform rate to a speed of 45 m/s in 15 s, mo w *59zz/wac x321oxvz kp2qncving on a circular 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;j8,6c ;dxc+exe lc rf 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 standid)w 0p5jltid+uf 1 hxh/bil,:ng on the Earth, due to the Moon? The masswjhx:l5tl/dp+ h, if)0bdi1 u 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 forv5pcv t4csv1n+ .arx /ce between two masses is F. If the masses are moved to half of their initial distance, what is the gravitational attractive forx1ptvvvsacn 5 c.+/r4ce?

  For a spacecraft going from the Earth toward the Sun, at what j7dd,14qe6lhl) wsw. p cw2-.hbjdan distance from the Earth wilj.sd l ahq461.ch,wd ew)bjnwp27d- ll 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 iek (wa g*ageu(i +1fje55r5zds $7.4 \times 10^{22} \; kg$ 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 pety -z9iwzh ;eqp.bz8f /t*-huly+. for a "space-walk" at a distance above the Earth equal to the radius of the Earth. What is her accelerate9fqbthi;t h z+ep8*y..z/zwy-- up lion due to gravity?

  The radius of the Earth is R. At what distance above the Earth's sua*5xm c4cunc0rface will the accu c4 5*nacmxc0eleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars a4 ;4fi6w4 ac fys:hcizt a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity :wafc6fzi4 ch4si ;y 4of 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 acceleration of gravitt.zjmy c;ct(kq j6d,0 y it0q jj;6,( z yc.cktdms $32 \; m/s^2$. 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 5wzoa f )en 8k5,zwdw9i,wd q;Earth. The Earth has radius r. If the object is)wdnk zw95z , dqw8,e ;woa5fi raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change when he goe.2tk+ f g2va12g ydfzss from sea level to vskt2yd21g 2+ gf azf.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 pm020oqv2 rbv kg is at a point 3r above the Earth's surf2b 2qmv0pr0o vace. What is the satellite's weight?

  A spherically symmetric plan q*j2cn0xo:qc6u.t xs et has four times the Earth's mass and twice its radius. If a jar of peanut butter weigh .xn6*0uqcjqs2 xot:cs 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 the same line, wisuc41noaz .v j( in3;lth the Earth between the Moon and the Sun. The Moon hsn3 ozv1c u;(ln.jai4as 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 t ( gau3: v()d/avewsjyhe 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 just skims theqbrm c/i dm+y +n (t4dloz.n(4 surface of the Earth). What ilmcydno qb/4( + +zir4nm(.dts the speed of the satellite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circepi1b*z()8vm d8 csmfular orbit about the Earth (i.e., it just skims the surfape 1bv)( smd8mc8 zi*fce of 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 circular orbit 230 km above the surfaldqp /2 pbg3(lce of the Earth. It is observed to have a period of 89 min. What is the mass of the Earth? (T g 3l2/pdlq(bphe mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital didntl ilca,4 .-im *d2yameter of $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiteed+i ,xq:rts- r orbits the planet with 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 imuonyx /vb.jn4u r j42;ko; xbc5s8:rn nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to8n m;xo.4uuc byb 4xsj2j:vk/rnr5; o complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter icoe w)/o,.y /vvam0ab.,y mpes $7.78 \times 10^{11} \; m$ 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 Jupiterkaui8*erz2 :k 12 years to orbit the Sun once. What is the average distance from Jupiter t8zr k:keu2i* ao the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)