Is it possible for an object moving with a3vyv7 .q potpys 2c3byluv)9) constant speed to accelerate? Explain. .cl7vpy9y vqu2)v stpy) bo33

  Consider a particle moving with constant speed such that its acceleration of og t-q)z4/83fwdizl gwc,k h dxm7 +,qconstant magnitude is alqql)g3w, g4kd-o8 7z /himfdctw+z x ,ways perpendicular to its velocity.

  An object moves in a circular path at a constant speed. Compare ttf/agw8xil1*v o6df3-3ph: 2 wra d wghe direction of the object's velocity and accelerationl 1wp6th 3 xo23:r /dafwwafiv-*ggd 8 vectors.

  When an object experiences uniform circular motion, the direction o,v- buc+* juvuf the accele vb,-+u*vj ucuration is

  Consider a particle moving with constant speed such that its acceleration of lb7s ui3 qfmxx59s .;mconstant magnitude is always9u7i.mx53;mlf s xb sq perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed in a 1mzj 0 58 9:ctonie(i6g7esm 7hjuigi circulaem(6j7tgoz 1e :himu0sj ng9 i8i7 5cir path experience?

  What force is needed to make an object mojoy0ld *+6wc eve in a circle?

  When an object experiences uniform circular motion, the direck5l t 7e* dlnlj20x.s3sy0aus fu u2g5tion of the net force isnf *k22.aly5 u3 l0deu5lsjus7xs t0g

  A roller coaster car is on a track that forms a circular loop in tct +u;hre tstd o2w 2a3z2tn54he vertical plane. If the car is to just maintain contact w 2t5 a2 ;4rttnz+w3edsucho t2ith 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) em h7u(r*5m ckis on a track that forms a circular loop (radius = r) in the ver5ce7*kmm (r uhtical 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 point?

  A pilot executes a vertical dive then amj+.m6 pi(rk/ x; :xqpnk qf9follows a semi-circular arc until it is going straight up. Just as the plane is at its low 6pin+ 9kqmk (xp.;mfq rx:aj/est 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 rhnpqhts+1 r7q 56n;mch x ;t(oadius $r$ 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 cods hj00d4rfl i),ibn.hi; wbur :x00unstant 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, comparedhdjb 00x:ni .li 4u)dirsr0fbhw0u ;, to the first time?

  A car goes around a curve of radius r at a constant speed v. Then(5cpswe2vuz-26tio m 3y(kvnf( dh6b it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes awdcszeyvbu5f 6(vh 26mn pot-(k32 (iround the second curve, compared to the first?

  A car of mass m goes around a banked curve of radius r with speed v. If th bunm,p4 zro;3e road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal forcurz; b,4mp3o ne on the car from the road is equal in magnitude to

  Two horizontal curves on a bo/,ukzwulb 7s ly 55kk.7xgt.obsled run are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the rkluy,lkotzgx7k5./sw 7 b5u.un) 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 track is not consta7rgc3ji:-ooewe4 wtd vo/;d ;nt, 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 dr /id- 7tgj;w;4oo: e3oedw vco they do this?

  Is it possible for an objectf hj cis ,)ev/3::dsyp moving around a circular path to have both centripetal and tangentfe, scv:y) j/: ihd3psial acceleration?

  The gravitational force between two objects s62x00 bhwrzyis proportional to

  The gravitational force between two obd(ymjwkks 9**jects is inversely proportional to

  Two objects attract eacdpmd)g /z16k7+q 9bl pk/xt orh other gravitationally. If the distance between their centers is cut in hal)kd mlr1tk/x69qp+7dgzp /bo f, the gravitational force

  Two objects, with masses vxs)kf 6 7l dgf pt 2t9sp5:dvpezd-(.$m_{1}$ 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 masse3 qldwce)k7mzhlo)waj1 1dn6 i 9p2)b 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 universal gravitat 0t.e,jlwaq8. gs52lvyd(lckion.

  Compared to its mass on the Eal ukluu1.xo9+rth, the mass of an object on the Moon is

  The acceleration of gravity on the Moon is one-sixtht g qgedr5uz+;:fm5c+ what it is on Earth. An object of cfq;gz+ge5: r+ 5mt dumass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from ta,pin, (rdbextc 2r:gv+,pfr 9s w6v 6he Earth's surface, the rocket's weight

  A spaceship is traveling to t, 0p/eecgzcu ,he Moon. At what point is it beyond the pull of Earth's grav cge/ epc0u,,zity?

  Suppose a satellite werem4 t2vgp2w7yc orbiting the Earth just above the surface. What is its cvwty gm27p42 centripetal acceleration?

  A hypothetical planet has a mass of half that of the Earf)cv,hcj 1 m9gth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleratiovmh g9f,1cj )cn due to gravity at the Earth?

  The acceleration of gravity on the Moon is one-ss n, jqfz-5b:rkj0c9dnjb x0; 9q,x yvixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. What is the Moon's mass compaq;xj c0yjz0bn 9vqx: bnjfsd-,r, 95kred to the Earth's?

  Two planets have the sameqk5io5w;xmjy1 /sx6b surface gravity, but planet B has twice the radius of planet A. If pla/5i16m xobjy5x wk;sqnet A has mass m, what is the mass of planet B?

  Two planets have the same surface s .8 o uu) sd;cayydui*/2mvxsco,9p +gravity, but planet B has twice the mass of plane.a/u9u2y mcoxc ovs u*sp)isd,;dy +8t A. If planet A has radius r, what is the radius of planet B?

  Consider a small satellite moving in a circular orbitvib27/ifmpqk h)mt k bv 0x(bvy./6s 6 (radius r) about a spherical planet (mfbspiy.h v67vt bk62mqvm(bi k0/ x /)ass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotates in the same ori+m.pmh* 5 (ko.nwd1 opvq ku3bit. Compar.3k(w *.kn 1impdqm5vopo u+he the two satellite's speeds.

  A person is standing on a scale in an elevator accelerating downward. Compa ghqson f6/a5p1e619aw(q asere the reading on thegh9 neqsqp6ow a 5a/(161sfae scale to the person's true weight.

  Who was the first person to realize that the planets move in elliptical pafnf+yh,,hmn r 44:pl(uj im ryk2t *:aths aroundk* u+y:l, ap 4jtn: hym2fnr(r,hmfi4 the Sun?

  The speed of Halley's Comet, while traveling in *z9k.ab5gxu s*xm/zd y7 x ob9its elliptical orbit around the Sukb .uz95m sa g7yz/*dxbx9ox *n,

  Let the average orbital radius of a planet be R. Let the orbito5o s6w79j;n m9k1zitat14cbwscih 1al period be T. What quantity is con w tt7 w1aohims;9c61 ob1c9nzs4 ikj5stant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, withw j4p8om )jok ;31g lasg:;hvi the same orbital diameter 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 n1j:3 sa)8hmp4v jw;ooli g; gkew planet be, compared to the Earth's orbital period?

  The average distance from the Evgbj1tknci7:i) p - u7arth to the Sun is defined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. Whatut:pkbiv) 7nj c71 ig- is the asteroid's average distance from the Sun?

State Kepler's laws.d; as9+zuml4tz7oli* 8f( r wi

  List the four fundamental forces iyavw:* yyc(8 do ad4;nn nature.

  An object moves with a constant speed of 30 m/s on a ci :w pk.5av7tkx pqb:uwfec,1-rcular track of radius 150 m. What is te:15k. - uvb:xft7kqaw wp,cp he acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What is the maximum speed zen .jbp40n t+around a curvn tj.bnz+p04 ee with twice the radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleration of a point on the perimeter n6fe-7p 4pmv0vm is2rof a bicycle wheel of diameter 70 cm when 04v n6p-mer7fsmi 2vp the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.200 m from bm4kwl/g;3wds b c:5v the axis. What is the centripetal acceleration:3g /sc4m;vdkwwblb5 ?

  How many revolutions per minute must a circular, rotating space3 4cdf-umx+dk u /kf)r station of radius 1000 m rod +ku)c3 dfmu /-rf4kxtate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes arou,taslqt7 2- *m khsm w4hu0)bbnd a 13.7 m radius turn at 96.5 km/h. Wsq,) ltm- u2km4tshb ba*w h07hat is the centripetal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-l:2 eq6tunxn: m string. The system is whirled in a horizontal circular path. If the maximum tension that the string can withstand :6nxntqe :l2u is 350 N. What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is att-yz4fau fmr ee.1 lz()ached to a strong string and whirled 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 point is1mrfe-()fy le u.a4zz given by

  A stone, of mass m, is attached to a strong string and whi v96ok,gtrr6bfo.cj 4 rled 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 poinv6k cor9t j6rof.,g b4t is given by

  A jet plane flying 600 m/s experiences an acceleration of 4g when pulling ou: v79p9+3va3x+i l fxmvwtk zzt of the dive. What is the radius of curvature of the loop in zfxp 9zvv+ t7x:k33v+ wml9aiwhich the plane is flying?

  A pilot makes an outside m u*1 dp-9yi*fqwd f5jvertical loop (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loomy pdu*1*jwifd 59f q-p 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 ca 8v:0.xsulfm-. fon itn stand 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, :if0m.o tvsn- lf8. xucan tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rax:3vgvot 5 9sounds an 80-m radius horizontal curve with the tires on the verge of slipping. How fast can thi9sv3tgv5 oax :s 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 flatfb 9k w.ont31t curve of radius 50 m with a speed of 20 m/s. The centripetal force provided by frictiokwo n .f91t3btn 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 mushb scasshnn5 1)4. ;pnt be the minimum coefficient of friction between the tires and the road for the car to make the tu4an hshsbn pc.s;1n )5rn?

  A car is moving with a consprc fl ;tz::f0(dm3tqu emt( (tant speed v around a level curve. The coefficient of friction between the tires and the road is 0.40.lq(d c z0(m fr:t um;tf3t(:ep 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 u;5giln1mi vc0,3r g4zr cd )vnegotiate a 100-m radius turn at 35 mg3c;1c,rz gdiln )ivu 4r0 mv5/s without skidding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked am/w9:c q 8c ldwmk45jmt 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 of 5u4ps08 1no1lkx0lavsjw kv 0 $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is bankenkr8h tqtcii(pyr:424o ;x6ld 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 revolvin19 mf u.c;wzmwg uniformly in a horizontal circle of rz19u; fcm.wmwadius 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 accelerate)seimk/ 1o t8us 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 numtm8i)/us e1 koerical 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 ag.)hqt3c * b8wq 0insa 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 on a 70-kg person standing on sx42c/ arp,*2olmu xqzlwqz 16523gd+wyw jq the Earth, due to the Moon? The mass of the Moon is wuydsqlo56l3 wx a 1, j/mgcp2q2 +zz4w*2xr q$7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two m5rq,vvih +jx8i 0wtni0 m7rh0asses is F. If the masses are moved to half of their initial disttrvvirqiin j0 h 5x7,h080mw+ ance, what is the gravitational attractive force?

  For a spacecraft going from the Earth toward thexo 6psmwk 9 *u,*irz-m Sun, at what distance from the Earth will the gravitational forcepk ,m9 *zisx*rouw-m 6s 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 c*v (qnba6 z5i.w3bgmis $7.4 \times 10^{22} \; kg$ 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 Earth equal to c 4d2uwf*ba96qhtyp89e uz k (the radius of the Earth. What is her acceleration due to gravitaq 9 h9yb8td cz* 4wp(u6k2uefy?

  The radius of the Earth is R.ny uu)8.ffiv j.j9.3d9 l;nxl ;iacp p At what distance above the Earth's surface will the acceleration ji. 9ufnpcadixlnpjy vf).l ;89u.;3of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distance above its surface equal to 3 times thes-znqb)rm.( k3vm(z z t4h1m c radius of Mars. The acz4v m(hn(mksm1)z. bt-qzc 3r celeration of gravity of 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 8z7 bpz,n6 t; h4wnqnzr 4dri6acceleration of gravityiqr8,rz nn 4 ndpzwthb6 4z67; is $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 4324)c2v3u- nj ijzw*wzd N on the surface of the Earth. The Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is itvw)3 2-uijw dj4zcn*z s weight?

  By how many newtons does the weig 9m ssraux,:b*ht of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean radius of the Ear x:m9 rabus*s,th is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satellite of mass 100 kg is at 4gt 0utb i(4jbyrxwkm 64p r(:vr2q/b a point 3r above the Earthj4r4twq6/vgb(t ybpm0kir (4xb :r2u 's surface. What is the satellite's weight?

  A spherically symmetric planet has four times the Earth't (6zj+rlu5cts 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 surfar5jz u6t tl+(cce of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the same li 5g/ ;umtz5rvtne, with the Earth between the Moon and the Sun. The Moon has ag t5tv5; mzur/ 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 ballhjww 2s20, 4po kkk, u1s hehrw5,.kzp 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 orbit about the Earth (i.e., it just skims the 2sh.+5 hetr zeswyk6.oat7 -s surface of the Earth). What is the speed of the satellite? (The mean radk2.-s .5oa7+ ets hseyrt 6zhwius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit ab1b3yp5ah s wq1out the Earth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mp 1qysh 3wa15bean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km 3e)8wdf* 1pwc(hsbwz 2skjn a7xz7i 6 above the surface of the Earth. It is observed to have a period of 89 min. 61 ws se8ij2 z xc7knd(z)phf*37awb wWhat is the mass of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Ju:xy(o+ up8npsqk0 (tp((b pnk 9q/*pix o3 emtpiter, has 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 planetq2l;8 i5pfj 9.wtoxal 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 has orbital) j,hmvf ;; lp8-vqphm radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it thpf,-vv;jhmp mq)8;l ake moon B to complete an orbit?

  The planet Jupiter is gt2uj.k 7akm5$7.78 \times 10^{11} \; m$ 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 fqx6x7mi+(ws gpu- p)Jupiter 12 years to orbit the Sun once. What is the average distance from)67i ms(gw upqx+xp-f Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)