Is it possible for an object moving with a constant speed to accelerate? Explaiyfqqqfq4 g-*3)0fntqdhp8q p.s.6wv n)f 8dvgqq-sqq.fywhpn0 t64 *q pf3. q.

  Consider a particle moving with constant speed such thw3rykq /k6 :nxm9c5piat its acceleration of constant magnitude is always perpendiculw5xy36k/rk mn9:iq c par to its velocity.

  An object moves in a circular path at a constant speed. Compare4e0) y7vnsscr the direction of the object'ssn4vy0c7 r )se velocity and acceleration vectors.

  When an object experiences uniform circular motion, the directp+:3oa1l gc prion of the acceleratiog:ca+ppr 1o 3ln is

  Consider a particle m)(;2g0sbz -v:6wpz;i :siyc msd zrfj oving with constant speed such that its acceleration of constant magnitude is always perpendiculary6(cz p2i:m:vw0ris f)zz sj;; -sd bg to its velocity.

  What type of acceleration does an object moving with c ys81h .-djymi23utgbonstant speed in a circular-.yh8itg sb2 1yj3umd path experience?

  What force is needed to make an object move in a circu ec1szvalb8v,ofv4isk1v l+ 3/ 8q)zle?

  When an object experiences uniform circular motion, the direction oft) *coovt ,2a0gz ,xnrl9vih* the net force iv,an9l) z0,2 og*rtc*ohx tvis

  A roller coaster car is on +gf,si4 rbk5 gjrwb8 2a track that forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripetasbk2wijg5, r+g r8f4bl acceleration at this point?

  A roller coaster car (mass = M) i2yxk9jk* qix,nrf6; 38ri ilh2ww b;ps 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 min3 wpq w ;*9bni2;f8r6,hij lrkxxy2ikimum value for its speed at that point?

  A pilot executes a vertical dive then follows a semi-circular arc untilw/4fh )h6ncc d it is going stc4hc/f6 n) hdwraight up. Just as the plane 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 rq*,c(tw )jpneucwz6-adius $r$ 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 goes arj. i,oi n3t:xb ;+-k rkv9zilfound 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 the f,xi l nzr;vi+ -:9itof3.bjkkirst time?

  A car goes around a curve of radius 0 o:h+jhue ko7p2oehsj). ,/wtt8s q cr at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car o0q 2jk c/h8psjeoh7ht soeu)., t+:was it goes around the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius r whihjvp2z-/zfoe+ z( 3 2lo1n gith speed v. If the road is frictionlg(lf - 1zeohovh/j32pn2 +zzi ess due to ice, the car 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 run are banked at txn0t0q7zi c1e he same angle, but one has twice 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 larqxnct0 ei107z ger radius curve?

  The banking angle in a turn on 482nl f3zndlr the Olympic bobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled t2z8flrn34 dnl eam 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 arne y/5i 6o g ps)l/5lpydu*n.sound a circular path to have both centripetal and *dny i/lppg6yls.nu)o/ 55es tangential acceleration?

  The gravitational force between two objects isb: 0o(fre qj5fy8w3 xa proportional to

  The gravitational force between two objects is inversely propo+- hr1 sb 33io)gbfijsrtional to

  Two objects attract each other gravitationally. e7r :z :nwn52l,mym wsn:iqy* If the distance between their centers iswy*:q27mm5nz: ywei,n:s n lr cut in half, the gravitational force

  Two objects, with mas9tz+ofq *c9o w.,pcv1iyg qv5 ses $m_{1}$ 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 masse9:2zn8ybb1d (9sk6dg wlpwnzeata 4: s $m_{1}$ 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 universacb+4 ugk 0w/1gvd0q fxl gravitation.

  Compared to its mass on the Earth, the+ +2/:us . +xu aa yizukxu u4omni-52mnfeyt4 mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-six;9qcn wedo4)fei1o ,wth what it is on Earth. An object of maswdwoq) 4,e fo;1 cien9s
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the r g6 yc gfsdk ..ukkht4--0+lu0d3jpuzve) 7 seocket's weight

  A spaceship is travelik6s9; *vs* h qyoj4zjzng to the Moon. At what point is it beyond the pull of Earth'shz4 ;v*j yko69sqzj*s gravity?

  Suppose a satellite were orbiting y0cu*yh beg0/ f.( cssthe Earth just above the surface. What is its centripetal accelerat .s0 g0*uy e/bfhs(yccion?

  A hypothetical planet has a mass of half that of the Earth and a a+3wzl9ur-tzw d agh8)1v v:qradius of twice that of the Earth. What is the acceleration due to gravity on the planet in aq)9w 8rw3d:u t+gha 1 vlzzv-terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-si1rai4qy bx2y1;3 ;v t2zo8byvqwvi ;ibv41 tkxth what it is on Earth. The ray;vzbv84t2 y wqo;3i1t qbvry;2i4 v1bk1axidius 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 gravity, but planet B7. f zo u,hg9,lmonqj/ has twice the radius of planet A. If plan,j.nuho/ ,gflz9m 7qoet A has mass m, what is the mass of planet B?

  Two planets have the same surft15 ;b axa:r 9 )pb-dtihrbhr7ace gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the a-r9r;5x:h)hb7dt 1r ib pta bradius of planet B?

  Consider a small satellite mc(y/qk ed6kj2czyb* 9oving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbital velocity? k( 6cyjq2z*ykebc d/9

  Satellite A has twice the mass of satqs(idhn4- sdq+qz,y :ellite B, and rotates in the same orbit. Compare the t4 q sd -hqdi+szy,:qn(wo satellite's speeds.

  A person is standing on a scale in an elevator accelerxuc(7s 3mklc*ating downward. Compare t 7c(3msuc*xlkhe reading on the scale to the person's true weight.

  Who was the first person to realize that:p;b wb8y4ufp 4+eqnl (m vo76nht+qc the planets move in elliptical paths around q:( ebot cbymv8+ ;u4nqh4f+7nlpw6pthe Sun?

  The speed of Halley's Comet, while traveling in its elliptil d(we:g85pu8ic/ ot2 myg ev(cal orbit around the g(8i8/d le2v5u:(tmop gw ce ySun,

  Let the average orbital radius of a planet be R. Let the orbital period we0w z8+aucettn /*2gbe T. What quantity is constant for all pz*wn 2ctee 0a /wtu+g8lanets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andr8v;vvnxemvun.ks2e )7w v2nz ou8(-z go l v*0omeda, with the same orbital diameter as the Earth around o zn7nvvmgvz loo8v8 ew.v-*e (uvu sk02x n;2)ur 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 lvc.s)9n(cv 8;yum v zis defined as one "astronomical unit" ccln s .zv8vy9m;)u( v(AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.pq r7,k:a,mh6 /hr n j1ucow0e

  List the four fundamental forcesc78rkm 4iyyl 6 in nature.

  An object moves with a constant speed of bcc.fa;):nhmkq4f 6 xywe t 8130 m/s on a circular track of radius 150 m. What ic hf.w yq18 e6c:)xm4tkafn;b s the acceleration of the object?

  The maximum speed arhwfl 2,dy8ctz 4.a)d found a level curve is 30.0 km/h. What is the maximum speed around a curve with twice the radius? (Assume afzhl. )cw82f ,dt4a ydll other factors remain unchanged.)

  What is the centripeta9 ko * /otubxht0+nub(l acceleration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0 m+uob h botk9/(u0nxt*/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.2dmq m2za:z)3a 00 m from the axis. What is the centripetal accelerati 2)aza3mq dzm:on?

  How many revolutions per minute must a co97w3t6a: 2yn ktcnwh ircular, rotating space station of radius 1000 m rotate to produce att3:n wnw o c62hk79yan artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m bh. (,*jltq(p sst(gc4yxd3dradius turn at 96.5 km/h. What is the centripet4tx bs( *pqdjh(3sdyg.tl ,(cal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The systs+- lzdnzyyfo-k7)1 7ul+ ks9:kslk uem is whirled in a horizontal circular path. lku) y+kl7 7ks-:u lso +ykzf 1d9n-sz If the maximum tension 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 whirled in c,knfq7pg3;6 m qo+nea vertical circle of radius r. At the exact top of the path the tension in the string is 3 times ;g qc367fp nn+,omqe kthe 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 vertil8cj dxbg:) 4.zil zz*cal 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 ati8cz*l4. : jx gzzbdl) this point is given by

  A jet plane flying 603amu *i2,sh yt0 m/s experiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of2yh,matu i s3* the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the center of the loop is benmt4y0c vhhc 0 0tmjy d7pl)3 .h2d+wgqeath him0) c74hw0 dc qtypl+jgd3v0tmh.y h2 m) of radius 3200 m. At 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 i yq6e.d9 z(ebpilot can stand is about seven times his weight. What is the minimum radius of curv6iez9edq .y( bature 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 curve with the tires oniq3 d-gom9h 4d the verge of slipping. How fom -g hq3id49dast 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 flaii q/e3i*53osrc;ep z t curve of radius 50 m with a speed of 20 m/s. The centripetal forces;rqz ie3ie*p /5co i3 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 hjke19r g xv .s/dcdl m18:)aqspeed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the car aj9l1kcs1h.md)xe rd q/8vg: to make the turn?

  A car is moving with a constant speed v argi+zbl sw4t06mo l70qound 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 is to stay0 l7zwtb0s m+o6i lg4q on the road?

  What minimum banking anga4hf-bl , ef-dv;j f1)axpfazsf6.s/le is required for an Olympic bobsled to negotiate a 100-m radiudalfp4 s jeffxvzf-a 1h .a),/ b-;fs6s turn at 35 m/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at w *( 1q:u2or7mpyyq(g lu f7xza $45^{\circ}$ 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, bankec/tjomboq5 gsy2)d0 .d at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bankey 49h+f s-(pho*u4anxes 0d )ziksrb7q*b 5lrd 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 uniformly in/t p7a*td kv;s a horizontal circle of radiusvdta7t k*/ ;ps 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 a m 3 vv1qcs)ch3zm6m2lccelerates at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill in n lc16s q hvv33mm)2zmcumerical 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 proask+h; y */wqm 9y3qxtton 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 on a 70-qpbhgy b2 2;kvwp ws 3,fs5:fp97)okxkg person standing on the Earth, due to the Moon? The mass of t3,xvg2pfk o;79sspbq2 :5 fw kphby w)he 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 between two masses is F. If ths2hew)+9uk7 h76cs5rf dauq qe masses are moved to half of their initial d7f295 swa7uq6h +er)ksh qd ucistance, what is the gravitational attractive force?

  For a spacecraft going from the Earth towar m,z 6+w6j2rv (; kloqedziau:d the Sun, at what distance from the Earti( 2uzavz6+;ew ,dqmk oj rl6:h will 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 is s;jajeko6 g3/:ael0idke 3 h2$7.4 \times 10^{22} \; kg$ 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"wk9+4ca0pgakaa, y z7 at a distance above the Earth equal to the radius oaa p4a0a,gkcyz 79w+kf the Earth. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surface ,,tiiy9p (bw w h.kfong)p/k egg) y1:will the acceleratiewgphk okp,,i 1by) (y n:.i) 9tgwg/fon of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a dxz a8, j)he7jfistance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleja,hx8)7e jfz ration of gravity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the :y*xjn;o;ox0 bs yc61hc l qm:o2)nsf acceleration of gravity is l)s chx 2f:oynnb*y x;o0q:; mcsoj1 6$32 \; m/s^2$. 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. Tht- mrpy4a nk24e Earth has radius r. If the object is raised to a height of 3r above the Earth's surfp2 4 k-nayr4mtace, what is its weight?

  By how many newtons does the weight of a 100-kg k 6-1 :ghua5ppl v )4l jto6kq-od:ogwperson change when he goes from sea level to an altitude of 500okko tpl46v5pl gj-hoa 1qd)::ugw 6-0 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 ph9c+ ap776k7 otdrwfaoint 3r above the Earth's surface. What is the satellite'k +dpaa77ht7frc6w9 os weight?

  A spherically symmetric planet has four times tjgj . d 1j5k2i/yx7atohe Earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on theaxji 2/.ykdo7tgj1 5j surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, avck)3zsyw6 ctw m4y00+;u fa and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a ma ;0) t0yk3fway64sczv w aucm+ss 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 Mooyq8s -urp5m o;j; cnp6n.
(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 thet8z dx(/(np0v flf4 9z5slbbn surface of the Earth). What is the speed of the satell0xn( znf fd95bvps t bl8/4z(lite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a 7 y7m.ayumnt:34cx ikkv*6d plow circular orbit about the Earth (i.e., it just skims the surface of the Earth). How long do n*ckk7tpy u4ai xdm7mv:y6. 3es 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 abovettlrmyjq,wd0d 7,e4u9 5v;yk the surface of the Earth. It is observed to have a perio7y 9j,l,dyq wmdkru0et5v t ;4d 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 d02d 7j/pj /tfeg(vqdrekihzx1 1f.3diameter 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 orbitsp,e hj 4hw*,dbz* uq;pjwa-i; 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 in nearly circular orbi8e-;d rrws kl6)t/utjts. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 da)jw-t t;6 kls/rr 8uedys to complete one orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter iszkj u9mcxt;n 2d6: u:q $7.78 \times 10^{11} \; m$ 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 ort r-22pfh 9flkbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from the Earth tpfl- k2htfr2 9o the Sun is $1.5 \times 10^{11} \; m$.)