Is it possible for an object moving with a constant speed to accelerate? urxc960pyxr7lugd l6e hmx/ x /b-l 63 Explai xb- 3lmu xu0xryx6clgeld 9h//r766pn.

  Consider a particle moving with constant speed such that itsqel1jb6y m*5i acceleration of constant qi *5ey1jl bm6magnitude is always perpendicular to its velocity.

  An object moves in a circ 99 x 2mixxnht/gxgv52ular path at a constant speed. Compare the direction of the object's velocity and acceleration9gxxx n9i2 g2vm5xth / vectors.

  When an object experiences/0e : 8cnxgpaciac-b2 uniform circular motion, the direction of the accelec/cc i :pe g0b28n-aaxration is

  Consider a particle moving with constant speed such that its acceleration of conas f4m3yws:5cstant magnitude is always perpendicular to it yamss53f :4wcs velocity.

  What type of acceleration does an object moving jyyi:a qbo ii n4:e z58u:u5*nwith constant speed in a circular path expeeny5 iii 4 j:ybq8*uuano:5:zrience?

  What force is needed to make an obd6 .;jlef,tnvh i+wo/)w rog /ject move in a circle?

  When an object experiences uniform circular motion, the direction of the net ayrzblm *)1 n6forcerz n6*bly)a1m is

  A roller coaster car is on (ax3w vvo h.00 mp)gpoa 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 fv p03vog)0a o mwph(.xor its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that f2lqvldv x +(a(orms a circular loop (radius = r) in the vertical plane. If the car is to just maintain co vxla(v(2q+l dntact 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 the9rd05 dbf 645 ea:yzxb 4bldbkd9cf:jn follows a semi-circular arc until it is going straight up. Just as the plane is at its lowesb5z4:d def4 9 kfcbax6l 0:ryj5 dbdb9t 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 o/j.mlor8n bbt42 w 1q0dfjnc;f 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 r-tjdp 0b7iv/ zadius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal for7it -0vp bd/zjce 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 radiusg :9;j :, s+qrylqunsi gh(mr, r 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 as it goes around the secogly9:qhgr+ m(ss i,,; nqjr u:nd curve, compared to the first?

  A car of mass m goes around a banked curve of radius r witfy owjrptj63 :i5gjyd/ ld :)+h speed v. If the 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 road is equa3ygp /j:jddj 5iroy6+ )t fwl:l in magnitude to

  Two horizontal curves on a b hcb4fk2h.(sjwko h 67t-vrj z94l m*fobsled run are banked at the same angle, but one has twic2hk*wzc-b4 vt.( sljk 9o76mhhfjf r4e 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 b(6-0mj js -4g v7ya ht3ijqcreobsled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will inteaih7s6 mrq4yvj jjce3t0--g (ntionally "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 bqnmp9 /m6 ( v/etg7.t 0mgbpbpoth centripetal and tangential gtmepv/.7gm0 qp6n/ (tpb 9mbacceleration?

  The gravitational force betweenzr cf* w(2fy bx yu+gfnbpv(+2z,to ;1 two objects is proportional to

  The gravitational force between t7neifj4p sp :*5hpr +k)cnh )uwo objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance b0rp0gg c o.oc6-+j khmetween their cen+kgjmog0op-0h.6c cr ters is cut in half, the gravitational force

  Two objects, with masses zlcn 1: m o0r7c:gly;tmm5/agt n zl0x*tm25s$m_{1}$ 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 ma64:zczgadmb(fu:h(5 8p rahk sses $m_{1}$ 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 universal gravitationy125twv dlc1*g.)myp w g w)ja.

  Compared to its mass on the Earth, the mass of an objky6 5bfo mna ws25ypfb.w)5 u4ect on the Moon is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. An y6r6jo 0(ybs *3dpsuy objectr pjbs3os *(0uy66yy d of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfaca3r9 e ak205 n3jgeswwe, the rocket's weight

  A spaceship is traveling to the Moon. A+ ig p2bqd: o,pls3l94lh -mtot what point is it beyond the pull of Earth's gr:-pl+2g dtqo h9 iol43b,lsm pavity?

  Suppose a satellite were orbiting the Earth just above the surface. What l 0g4x4vues o6is its centripe0x6vgsu44e lo tal acceleration?

  A hypothetical planet has lgzo31p 99*ol*fz taza 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 plane93z*1toolz9*lg af pzt in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-six8w efoq8 y*:yzp hyt48th what it is on Earth. The radius of the M pw:qoy8f hy 8tze*48yoon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface grbzx(b9q k*:w:ps9y 3w 8svzqlavity, but planet B has twice the radius of planet: xb 9sqkzq b8wlsvpzw3 *(:y9 A. If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gtt b3r ofs :k)qrxz u8livxx918 (00.kptsve:ravity, but planet B has twice the mass of planet A. If planet A has radiusiz3 klkf bur 9:8o1 08vesr .vqxtts:x0pxt() r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbit (radius r) about a spher+1wsxx*r n:wq rca+9 kd2 5wgla8:k lqical planet (mass M). Which expression gives this satellite's orbita l:l29qwcq:a kgwr8r a5*1+ xdwks n+xl velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same orbo 76he 0yj3zt7n xt(rbit. Compare the two satell3rz7oy xbj 7e0th(6tnite's speeds.

  A person is standing o//* 0 vzae7eqidz,ka5 knf.mf n a scale in an elevator accelerating downward. Compare the reading on the scale to the pee.fzd,f05m nev/*q/iz a7 k karson's true weight.

  Who was the first person to realize that the planets move in elli bw8cu+9mx a53 jacmz+ptical paths around bx5+wcc+jaza mum3 98 the Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit arouog8;7vhkj+/*bhdh fsnn; il1nd the *1hld bf; k/h ;vnshoi7j+ng8Sun,

  Let the average orbital radius of a planet be R. Le2j mpgv ) 5t+4a5khag))e mpuct the orbital period be T. What quantity is constant for all pp4t h5g eag5ck+pu 2) )a)jmvmlanets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, with 7wvwj;) p f+ j+bia+pu3 crm8ethe same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the per;cf3awr8 )bv 7+pjuwip +e+j miod of revolution of that new planet be, compared to the Earth's orbital period?

  The average distance from tz8w03hv(wel:/ fs4c m pld;qzhe Earth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a 0lz8 v(;e4 :qwws3cdmhp lf z/year. What is the asteroid's average distance from the Sun?

State Kepler's laws.mie*wpn( o. i/ t-+e:m .bekle

  List the four fundamev:ytfcy.f k+9 api1i*ldsu ; /ntal forces in nature.

  An object moves with at0uhript lvj+ 52s -3e constant speed of 30 m/s on a circular track of radius 150 m. What its ir-0 2ujeltph3v+ 5s the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is t;e(3,ngqz93rgv m ri bhe maximum speed around a curve with twice the radius? (Assume all other factors remaim revi3z3ng,q; ( b9grn unchanged.)

  What is the centripetal acceleration of a point on tk9c9ym b5or8ia2 jb w0he perimeter of a bicycle wheel of diameter 70 cm when the bike is movingkir 09 2amyc bbw9o58j 8.0 m/s?

  A point on a wheel rotating at 5.0 y07g40qjz (2vrwpke r0 rev/s is located 0.200 m from the axis. What is the centripetal accekpe4r0wr 07 gzv2jqy( leration?

  How many revolutions per minute must a circular, rotating space station of 2fptw b.d,kks46.m hcradius 1000 m rotate to produce t,2s dk.wh.4 6kmpcfb an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m du7))-hhzibdf uhn1x +4 xv,dradius turn at 96.5 km/h. What is the centriped +1 ih)zh )bx7dv fux,dh-un4tal force on the motorcycle?

  A 0.50-kg mass is attached ;da53- 1biuw vc(ayerxwgt5 - 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 the string is not t a;eb5cg u 1i(dwxw3y-t5ra-v o break?

  A stone, of mass m, is attached to a strong string and z4*p ugab(9zzzmo8e)w zbe* rkg 1t.5 whirled in a vertical circle of radius r. At the exze1 *oa(g8mb ur 5p z.9ze*)4bztwgkz act 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 a strong string anlcbr;fxc+/o:c vf:u,d+ g4q m5d a,n 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 is givendco 5+b/ v :4rmca,qu nlxf :c+gnfd,; by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pullinwj aeggd73l-f4j r-2 ig out of the dive. Whatgld e2fawjr74 -j-gi 3 is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertic9u0o3g ty+zxral loop (in which 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 his normal weightuzo9y0 tr gx3+. How fast is he going?

  The maximum force a pilot can stand isj,g q5a4fm hx-yha( 5a 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 tolerate at a speed of 250 a-5f q4 ym agxjh(ah,5m/s?

  A car traveling 20 m/s rounds an 80-m radius horizontal curve with thtu q+5c5h 1k(q eh+ykhe tires on the verge of slipping. How fast can this k(tk1q +yqhcheu5h+5 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 speed of 20 m/s. Thepz/02jz 0qu)kp lz1 rc .c-ntyzdw90x centr/k . nuw10cdt2-z)czzj r q90pzlyx0pipetal 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 5aj1ust)w8dr y6l/f ;g 0 m at a speed of 14 m/s. What must be the minimum coefficient of friction between the tires and the road for the tag; 1s/frw l6)8yj ducar to make the turn?

  A car is moving with a constant speed v around (cz,*:ba f)ki +b 1o:d qawpkva level curve. The coefficient of friction betwe,:(aw pz +acdf:bqo 1bikv)k*en the tires and the road is 0.40. What is the minimum radius of the curve if the car is to stay on the road?

  What minimum banking angle is required for an Olympic bobsled to svjty**x*j-lnegotiate a 100-m radius turn at 35 m/s without y xj-tj*lv*s*skidding? (Ignore friction.)

  A horizontal curve on a bobsled rum +/fa s10kbbon 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 an angle o-8 b1pwiljnyya,ve wm23kj 79 f $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is banked at wo opj4,k vu se96tco2c1z3v($45^{\circ}$. 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 a horizontal ce)074idms+ot (a cot lb1br+j zsq0;aircle of radiu 4t;1a0z0m+ j rb)obtd+s qloi(aec s7s 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 uniform rate kb 1+)ylt tnb*uyfily70 g,bif/yl 0+ k:s,mito a speed of 45 m/s in 15 s, moving on a circular track of radius 500 m. (only fill i+gyiiblfk l +0l*,nbt /tikbuf yy70y:m s,1)n 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 consiw dbind8f 0:z1vnm,(fsts of a 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 os6s:nkv e59as7l wdpn/ w1(.vsi v5 ybn a 70-kg person standing on the Earth, due to the Moon? The mass of the Moon is 6s1(ndv 5lswynv:ska5 w/ vpbe79i. s$7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive zr5v t(top8hj b2l0 m;force between two masses is F. If the masses are moved to half of their initial distance, what is the gravitational attrrpj8h(l5 0vmot tb;2zactive force?

  For a spacecraft going frod8a/u gm1/qihls/m 7wm the Earth toward the Sun, at what distance from the Earth will the gravimm g/1 i /alduqh/8ws7tational 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 ajal.f*hl4:9r5 ( wk. pqxgd p$7.4 \times 10^{22} \; kg$ 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:z8h*. 6wyffiv d tw l*8m ;1ervd4pjn a "space-walk" at a distance above the Earth equal to the radius of the Earth. What is her accefrm8de *tihv*v; 18 fldzj w4nw6p:.yleration due to gravity?

  The radius of the Earth is R. At what distanczsu* iz ly57.te above the Earth's surface will the aul7z5* sy z.ticceleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Ma(m 2 mfvcpq7-l cvm4x;fj)z0trs at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of grax-f pc(;m mmvf ql74tj)20 zvcvity on the surface of Mars, is

  At a distance of 14000 km from some planet's center, the acceleration o /fly+h8 em22*pylnk h a:vjpaxtr41.f gravity fy2r2 8lay+1 pp :xjtk4hhnm e.v*/al is $32 \; m/s^2$. 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. If(yi nz1p xt;wgj9zuy2i;*w g1 9iyj* gwz;wg(x z2p1i1 n ;uytthe object is raised to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does thyz pl8ut :9eur1/px.k cj7fg(c *ipb3e weight of a 100-kg person change when he goes from sea level to an altitude o:j3c8kf ubxte cg9 lir u(.*pp/7 1zypf 5000 m? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite7az up2 rooq/+cbe)l/ of mass 100 kg is at a point 3r above the Earth's surface. What is the satellite's weighoq)/zeuor7 al2bp+/ct?

  A spherically symmetric planet has fo7 s 4n.twa,z(yjhjzw1ur 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 of this pla7jnz.y4t1wzj as(,w hnet?

  During a lunar eclip3tomcb6 j3b8 lse, the Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon anb6bcmltjo38 3 d 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 transport;yg*c.is .znted 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 orbit about the Earth (i.e., it just skims the 0two43 v*lxpji)pf p 2+rgo)ysurface of the Earth). What is the speed of the satw0o+*t43)xlop2f rpv i) pgyjellite? (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 just skims tcl tj39y2 62+rmmggd khe surface of the Earth). How long does it take to make one revolution around gdj+ rt g2mmk96 l3cy2the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above meaq1vw(2:i*ttzolw)e x 96qthe surface of the Earth. It is observed to l om)*t9t2qe e(q ivxw 1z6aw:have 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 t(p dw:e* )uhqsxh10hof $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter ocx-g2i qje1m/t 4jq2drbits 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 5kdw5k*y )4y j7l fnflnearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take5 *yjydkff4 l5n )wl7k moon B to complete an orbit?

  The planet Jupiter is 7b).r hmjc)wpzeb:)l $7.78 \times 10^{11} \; m$ 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 the averagenjpk0 9jqaau/88xjok1c., ,simml w7 distanc j0j1pnmls. /u,ka jw7km,cx qo8ia98e from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)