Is it possible for an object moving :7 oxbuk4:l rrwith a constant speed to accelerate? Explain.k::b7luor rx 4

  Consider a particle moving c- ,yej9,asegwith constant speed such that its acceleration of constant magnitude is always perpendicular to its velocit,ce,asy jg9e-y.

  An object moves in a circular path at a con/f3dsg4w8f mdx un7 x+stant speed. Compare the direction of thexd 37xfdmgf/w +us 8n4 object's velocity and acceleration vectors.

  When an object experiences uniform circular motion, the direction of the acc. zt+;+mduzw* qthh.geleratiow h+zdt thqu;* gz..+mn is

  Consider a particle moving with constant speed such zn4e:v b.so m5b-q:tr that its acceleration of constant magnitude is always perpendicular to its o.emv4::-5 zn sbrqbtvelocity.

  What type of acceleration does an object moving with constant speed in a circrt;k(,n n9 k8xi sukzf*v4* wqular path experienc nk9fnxsiqvt (,*w8*4krk ;uze?

  What force is needed to make an objecz/ne 5 r ebg:aos7i*g z8mb5exqv+/i (t move in a circle?

  When an object experiences uniformf4/:pjou mu8yq7* gv+q8vgm m circular motion, the direction of the net forcqgg8qmu/f mu*+y:o4vvj7 8 pm e is

  A roller coaster car is on a track that forms a circular loop in the vers3 18hq: ;tkuu+mofprtical plane. If the car is to just maintain contact with track at the top of the l3 rf+kh u8qs1;mp: outoop, 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 qf5i8a2p66l.t*d6u x dq othr(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 speed at that po6 utxpq85ohf2 *a.t6dilq d6rint?

  A pilot executes a vertical dive then follows a semi-ci4 :xov/rlz( xyx1bf c2rcular arc until it is going straight up. Just as the plane is at its lowest point, the forcexb4olcv2z (f1 :x/yxr 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 of5j kaxa7/d dm6v7tk9o 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 con9f-j jqxa b1yj,q9ko9 stant speed v. Then it goes 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, compared to tx9jfky o 1q-9q ja,9jbhe first time?

  A car goes around a curve /prn6,jb2 . qhl7kk l55 bfccvof radius r at a constant speed v. Then it goes around a curve of radiuvq chcpblk2b,l/75 j6k5nrf. s 2r at speed 2v. 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.-fzf+ fmvzox (+2 npr road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal force on the car from the f.+m(frnpxzz -fv+2o road is equal in magnitude to

  Two horizontal curves on a bobsled run are banked at the same angle, but onx ;7q78 yhr* ;kj59sme ztuvowe has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radius curz s t;7*987mvujorq5yhk ex; wve is v. What is the safe speed on the larger radius curve?

  The banking angle in a turnx3cf 6rcn/3k) ln5ma 9l yxkvp1cw- s6 on the Olympic bobsled 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 dm5/xwrx66k1cp c l9s3c n f n-ak)yv3lo this?

  Is it possible for an object moving around a circular path to have both centryb1+ ylh o2e5,b7 4drk hgnao:ipetaodb,b:1 y og yehnrakl7h 5+24l and tangential acceleration?

  The gravitational force between two objects is proportional t)ufszk1 *zi h1o

  The gravitational force between two objects is inversely proportioxx*3yt8rlo1 e0u hi21r y 9cqxnal to

  Two objects attract each other gravitationally. If the distance between their unqaz .. 5ijrmlw x+/l-(awl(centers is cut in half, the gravitational forcjlx(l+aiw (/zul.w-nq a.5mr e

  Two objects, with massesl1.,cz/lmoy-za1o g k $m_{1}$ 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 masses kam;2f 8s ;g umh0fz cb):k3fs4xpkk:$m_{1}$ 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 univec5ai- rp3e g 6d5yn0dzrsal gravitation.

  Compared to its mass on the Earth, the mass of an objeca yzam.lab . a,(eun,kf2.fq3 t on the Moon is

  The acceleration of gravity on the Moon is one-sixth w)d)x06oedzfkp z55rhu52 e xnhat it is on Earth. An object of masufdn6k 5 55ozpee0h dxxz2))rs
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, th b*6i s1bsoe/pe rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pull oycr8 k hi8:5cuf Earth'h5i cy8:cr 8kus gravity?

  Suppose a satellite were orbiting the Earth just abov m l7y+.q)vebde the surface. What is its centripetale 7vmb).q y+ld acceleration?

  A hypothetical planet has a mass of half that of the Earth and a rplo +.ys 81ky is+zu2dadius 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 Earpz1y dl yuo+k2s8 .i+sth?

  The acceleration of gravity on the 7jt)sr*8khb +7keu b dMoon is one-sixth what it is on Earth. The radiu*7 dhkeb8k+j7t u)sbrs 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 b3y9cl c goul(/;gi9cthey : i1t7d0vgravity, but planet B has twice the radius of planet A. If pla(1utgy/li: vt e79;ci dyclc9 03hobgnet A has mass m, what is the mass of planet B?

  Two planets have the same surface graib l;(tav( x;ab c/z(hvity, but planet B has twice the mass of planexahc;(bt(i/b v l (za;t A. If planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (rad. n(uewia.e2cbg z1d/ius r) about a spherical planet (mass M). Which expression gives this satel (we.1b .ug2iea/dnzclite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbit. Ckn*f8v- *by1fsy,ipdo*s*e w omp k*y vbp*ynd,8*swse1*o-fifare the two satellite's speeds.

  A person is standing on a scale in an elevator accelerating,r a-2dr 3dcgc downward. Compare the reading on the scale to the persd ,3arcg 2dc-ron's true weight.

  Who was the first person to realize that the planets mo7 iii6rr rvve;uk(w1xx+lc82o393amvdv e0 r ve in elliptical paths arounm v8uo6re3 +x1ev(r2k3 c ; rwlivia9v7i0 xdrd the Sun?

  The speed of Halley's Comet, while tr qi.v ofg-2bki .5b5bfbf7w0f aveling in its elliptical orbit around the Sun2 bv05 .of-gbibf 5qfwk fb7.i,

  Let the average orbital radius o u vdg.1ni4(yxl(i+ds f a planet be R. Let the orbital period be T. What quantity is constant for all pla 1g xiu d4(+ivny(dls.nets orbiting the Sun?

  A planet is discovered to orbit arou )to2gs0*k hgend a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that so *seg2k)t0gh tar 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 ndqpik6z o3h sj1z24ft.uer:qfk :6 2defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year3.kr i h6dez2 2k:ousf164fjqpnz:qt . What is the asteroid's average distance from the Sun?

State Kepler's laws.g- g7odvk.mj e3l6p u.

  List the four fundamental forcd1n ni32ml5 czj7kb5mes in nature.

  An object moves with a constant speed of 30 m/s v;um oi-8qm.lm3qnr )on a circular track of radius 150 m. What is th).r3 oqi qv;lu 8-mnmme acceleration of the object?

  The maximum speed arod8vqmnf *ro36, r*aig und a level curve is 30.0 km/h. What is the maximum speed 3*mg r 8ra oiv,nq*6fdaround a curve with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perim0rkm14(p bzid eter of a bicycle wheel of diameter 70 cm when the bikepz4mb(d 0kr1i is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from the axis. Whaibo;9p47nrcyh3qwl r5y 21o4gtr 1a ot is twgp17 1r943yq c2l rib45oor;y aonh the centripetal acceleration?

  How many revolutions per minute must a cirn,l)tgb;t.s i)wud .- xzp;ohcular, rotating space station of radius 1000 m rotate to produce ag sn p.)zh,wub d;l-t)i ;t.oxn artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It na) sd(;utm i1t6a5bggoes around a 13.7 m radius turn at 96.5 km/h 6t1(b;mu5ga)ntisda . What is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The sy7:nm.ql3 kay w+e*p. zon b:u8ds 8nvrstem is whirled in a horizontal circular path. If the maximum tension kr u:8n+ ndb:wqo3lvn *my7 p8e.zs.a 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 whg 9rppan9t9g3p,edj3 gb5d* j irled 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 speed at this app j9gn5 jgd3 ,39rgtde* bp9point is given by

  A stone, of mass m, is attached to a strong string a0rsz)a)losf/ nd 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 weight. The stone's speed at this point l) 0or fz/ass)is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulling outmqvt8dsyp9 )0q8 z9u q of the dive. What is the ra8 8dmqvzqp) u09 yt9sqdius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the isnjy-4rt q 0v o n5(j-ner9x:center of the loop is beneath him) of radius 3200 m. An95t joxyjq(-v:r0-n 4 rseint 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 qff f 3*co k2ejkpa3s/x+67jcstand is about seven times his weight. What is the minimum radius of curvature that akq j2*7ef6jp a3okcscff+3/ x 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 hp:: sc u;sv2;ewuaa*el -h-hradius horizontal curve with the tires on the verpu*v l;ahehse:a -uwh -;:cs2ge of slipping. How 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 spe tf7irzn8s2 jh :,,qdxed of 20 m/s. The centripetal force provided by friction i:tn2,d jzi8q x rsh,f7s $1.2 \times 10^{4} \; N$. 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 must spd5pfnk5t g.r o3 62ube the minimum coefficient of friction between the tires and oun25dgp p3k tf 5r6s.the road for the car to make the turn?

  A car is moving with a constant speed v around a level jygm+i87z2c i( 8znqpcurve. The coefficient of friction between the tires and the road is 0.40. Wha8c7i82 im(yq+pz n zjgt is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking fevj0 08lb7lu angle is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignorejl0e0u7bl 8vf friction.)

  A horizontal curve on a bobsle..bhz: sdlcfw p8),oqd 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 radiusjdw ;p3md* 6uv 100 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked aaaxm ;bq997vf t $45^{\circ}$. 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 uniform :z1dyra1 v *2z2yytktly in a horizontal circle of raytzrykz211y *2ad: vtdius 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 at a so +3jg*sio7k uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in numerical valu* sgkj+3oo7s ie 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 ogz*6 3g+9e.idg kli-vu5q s 8mfdra+za tl9/jf 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-kg6 k2pakd42om+.v+x kzmu9ak g person standing on the Earth, due to the Moon? The mass of the Moonu2x 9kmvkm a4+azko. kg6+2dp is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive forc5m y34,lvnj0ykv h/47w aor uqe between two masses is F. If the masses are moved to half of their initial distance, what ia7qv53 4vy ljr 4wnyhm/0u ok,s the gravitational attractive force?

  For a spacecraft going from the Earth toward thffp k wbtww;5w7r; +a1e Sun, at what distance from the Earth will the gravitational forces due to th+bafw7 ftwp1w kr;w5;e 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 Moonkb y d2vi:8g/3sgyi7ye sec 1/ 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 dist/k, ;n:elr(mt*y hzvnance above the Earth equal to the radius of the Earth. Whtemnk ,y*: /vn(lh;zrat is her acceleration due to gravity?

  The radius of the Earth is R. At what distance abovwtbf ,rpz1.qx5*, lpis5u /dne the Earth's surface will the accelera.15tz bnu5x,lfpdrpq/i ,ws* tion of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 g3;b.xz l:9 6wstf4u3gbr 5zvddtg.6k x1dvrtimes the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on t5v ;gv1r wxb4glt9dg bzr szk3f .6tu36dd:x.he surface of Mars, is

  At a distance of 14000 km from some pla4:r9 cchy,esqnet's center, the acceleration of gravity 4 herq,9c s:ycis $32 \; m/s^2$. 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 d i mfc(,z, +plzx-0xmEarth has radius r. If the object is raised to a height d,l mzxzmixp+,- ( 0cfof 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-;beq hwm10 t /zqg3o1t3zi 7cbkg person change when he goes from sea level to an altitude of 5000 m? (The mean radius of the Eart g/c;zqz71im b0thoeq w31b3th is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at a point 3r avw u6 qucj ep2tz*q+; ks(msce*t+m(;bove the Earth (ksq+ pq;ms*tezwu2m(cj *ev +6c;tu's surface. What is the satellite's weight?

  A spherically symmetric plansiby)-w8 0eg kdmt j9+q +pzw/et 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 the surface ofwqydezwk m-/0)+stg bp9+8 ji this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the spv j) 9(bhxj,v4k zt.mi4nah6 ame line, with the Earth betwee.vh pabn9xh4)m6zvij4 j kt(,n 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 9i0 ( vnxbp6ly p;lts-is transported 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 o kw9rdo)a x,73e5w z97wetbe xrbit about the Earth (i.e., it just skims the surface of the Earth)3o 7x b9zrwew57) xw,et9kda e. 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 jusw a,5vbxy 5fnf; pw+uk+)xi-ot skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean rad+kfnw5f);5bxoa+ xywi ,v -upius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km abovm8j w5o d48qure the surface of the Earth. It is observed to have q rouwj58d84m a period of 89 min. What is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbital diameter ng nz8o6+ts )8kxmfeo ) sc81cof $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter orbits aikyl/ se3 r31,ha8h1gof .qzthe 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 in nearly circular orbits. Moon A haspb3p ulh 4km kn;4re1-dpp25 a 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 co;ep2knp mp51duk3 hbp-r l44amplete an orbit?

  The planet Jupiter i5jt7oqwigcd 8j 8x.8vs $7.78 \times 10^{11} \; m$ 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 39- igz*icod(j* n6h jkn1 fxkthe average distance from Jupiter to the Sun? (Theh kgxj9dfi-cn*3i*1j6k (nz o distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)