Is it possible for an object moving /b2ivbqk * z1ne85 zk c5nnzs.with a constant speed to accelerate? Explain..nzb5vc se5z1kn8* n2iq zk/b

  Consider a particle mou 4v 39(ph)vzmapv2i2xg t wn7ving with constant speed such that its acceleration of constant magnitude is always perpendicu2au(hz4twp9mpn2v) 3 x gi vv7lar to its velocity.

  An object moves in a circular path at a constant speed. Compare the diy, 1r0iqpep jkmmua:;7 i z14irection of the object's ky4uiai17;qr0: p i me,j1 zmpvelocity and acceleration vectors.

  When an object experiences uniform circular motion, the dpln*d-nqgvko96g /4d b/usq5 irection of the acceleration is*u ln/9 g p5q4on/kv-q6b dsdg

  Consider a particle moviovndg9l:9 4h fu9s yf4ng with constant speed such that its acceleration of constant magnitude is94fs 9l9f:yhovnug4 d always perpendicular to its velocity.

  What type of acceleration does an object moving with constant speed j -ar6upmg-1jin a circular path expe j6 gmp1j-u-rarience?

  What force is needed to make anw-+0 not ;e:- )lx.f dizaxg7i/uvu af-npot* object move in a circle?

  When an object experienca kw 4(.dv :g2pp2a,*ezm;yny* eipz ies uniform circular motion, the direction of the net force *yiz ,ea:4vdk(yeinz;m2p pg 2wap*.is

  A roller coaster car is on a tracl0t kcafi, i9e;0(wpf (e *bmck 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 ,0(l(*cf w0if9bei teacmp;k, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass =3 kd 8m/8w s3;usspwuej-uf 1v M) is on a track that forms a circular loop (radius = r) in the vertical plane.v dm /fs uu-8j;ww81 3uesp3ks 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 follows a semi-circular arc until iiyeu(s4flu hl-.fz ,kk9 . uc(slh48i t is going straight up. Just as the plane is at its lowest point, the for(fhlc4 i4.8ysuzk.fls ui ukl9 (,e-hce 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 9c7xvzkqml7 ij8ss / )curve of 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 coney2z 2wl.n ie3stant 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, c2l e2z.e3yinwompared to the first time?

  A car goes around a curve of radius r at a constant xa mq-q9v)o+1o2j/w;(yh 3xwwwyymispeed v. Then it goes around a curve of radius(o3 /oq 1qm2y+ih9wmw) w;yya wxvjx- 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. nht nh,qlfv,kn42 y7, If the road is frictionless due to ice, the car can still negotiate the curve if the horizontal component of the normal forcek,nn tv,f2n,7lh qh4 y on the car from the road is equal in magnitude to

  Two horizontal curves on a bobsled run *cwyilwxzf w j .0j/jt95ajc;c 1/)rxare banked at the same angle, but one has twice lrw.cjxj1fj)t z w;c/c5ay /wx i0j*9 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 bobbzmvog2 9w w:ti *s*k8sled track is not constant, but increases upward from the horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lowetki*bw *m:8os9zwv 2g r coming out of the turn. Why do they do this?

  Is it possible for an ob,ir;7 vdx*xhw+9 c mr,lgg fdgm32jd* ject moving around a circular path to have both centripetal and tangentg r 2fd,wxi x,dm l;dvj*g3mr7+h*cg9ial acceleration?

  The gravitational force between s3 m8uc8,r/ pbork 9cwtwo objects is proportional to

  The gravitational force between t b7nte3h ,:h4dgmum/cwo objects is inversely proportional to

  Two objects attract each other gravitationally. If the distance between theirw6 a4j.n tgvhbt3 l*g8 centers is cut in half, the gravitational fbn.8 64a3gtl v *thwgjorce

  Two objects, with mass-c1up 5q(n ;0abhctqow: 5i pies $m_{1}$ 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 mass 1pb,gd)o,vtr:ipz. p es $m_{1}$ 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 universalxbm:j,f:dj0t 7v le:wvkl gw4qxc :0* gravitation.

  Compared to its mass on t;z:o-oav efqn (zk42+ bmg3i-szt1 yrhe Earth, the mass of an object on the Moon is

  The acceleration of grae,b xrdc5p57avity on the Moon is one-sixth what it is on Earth. An objecp drac7e5x5b ,t of mass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surfa, ,yeo40xeo3:zxyea m ce, the rocket's weight

  A spaceship is traveling to the Moon. At what point is it beyond the pjli; qgw/znpl4 hh ,62ow-6axull of Earth's gravitynz;lowq 2whpi j,-la6h6 /4 xg?

  Suppose a satellite were orbiting theljw8g:509 f 5kxe ykfi Earth just above the surface. What is its centripet f05k:gx 8w k9lijeyf5al acceleration?

  A hypothetical planet has a mass of half that of8 r :9/9 q-rene;quspnn,iby+f/zhzrtg-jl9 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 tr;r rnyfnn :zus-/e-,t+p 9hq9 z/e9jiq8 gblhe Earth?

  The acceleration of gravity on the Moon is one-sixth what inr5lck+d )qr l0z3kz5u9vnc (t is on Earth. The radius of the M0kc3+l ur(q95k ldr cn zn)v5zoon is one-fourth that of the Earth. What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravitefi3mx* yz* 0p1 yoxn9y, but planet B has twice the radius of planet A. If planet A ho z30ym9x*n*xip1f yeas mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B has twihst+ q0ivw3ax0miz) : ce the mass of planet A. If planet A has radius r, whahq:mta0is+)zvi3w 0 xt is the radius of planet B?

  Consider a small satellite moving in a circu jp4d )hxwwq72lar orbit (radius r) about a spherical planet (mass Mdj w7q4wh2)x p). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B, and rotateszp sem9x5vzf0ye 2 :k( in the same orbit. Compare the tw5 9zxpyfkmv ( sze2:0eo satellite's speeds.

  A person is standing on a scale in an elevator accelerating downward.o8y/7t a/8ywsim1 jr o Compare the reading on the scal rmio1y/87j oa yt8/wse to the person's true weight.

  Who was the first person to realizj(4hzlc d/ z9 hp+h gu*+m-lwje that the planets move in elliptical paths arhd9/jzc* hgj (+p-lh u+zl4mwound the Sun?

  The speed of Halley's C9 emr 9plih0r )vws-)pomet, while traveling in its elliptical orbit around the Sun,p9)9 eiwpv-) 0rhmsrl

  Let the average orbital radius of a plhkjmc 2c 0z2wct(q0n *anet be R. Let the orbital period be T. What qu 2 c(wkc2qht0mz0jcn*antity is constant for all planets orbiting the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, wi ypq8 aru4l/7jdr +,sjth the same orbital diameter as the Earth around our Sun. If that star has 4 timeapj8/dj,ul 7 y+4rqsrs 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 defined as one "astronomi db, dl1a9ba5qg23*mmbjp rd,cal unit" (AU). An r32 b5,a9db ,j*lbadmmd1gpq asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance from the Sun?

State Kepler's laws.xgx* c11rg jt1d1vj4l32 xz bx

  List the four fundamental forces in n gj1-*:py2u:kkiw mt nature.

  An object moves with a constant speed of 30 m/s on a circular trajc1*aup3 j xh*hcrbi q y.,0vcacs +,;ck of radius 150 m. What .qayh v*r c1u;hc+,jc j i apx,3s*bc0is the acceleration of the object?

  The maximum speed around a level curve is 30.0 km/h. What i zcjo5idub 7rh1l2+gc(2t2 i is the maximum speed around a curve with twice the radius? (Assume all other 2li dbr21o(g 5ciut2z7 c+jihfactors remain unchanged.)

  What is the centripetal acceleration of a point f/kvg 5gggl;- uha4.uon the perimeter of a bicycle wheel of diamug.h ug5g fk ;alv/g-4eter 70 cm when the bike is moving 8.0 m/s?

  A point on a wheel rotating at 5.00 rev/fthff 4 pxr/nn6vnk::d7j.j + s is located 0.200 m from the axis. Whatr+6vhfdj: n/nkfpt x.:f7 n4j is the centripetal acceleration?

  How many revolutions per minute must a circular, rotating space station of ray,uj5oaelfy-lxl:g b ) ( ai0.dius 1000u0l( a5.-ao bij g:xy, lf)ley m rotate to produce an artificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.gb ,e/)htyp ew qf3ura89v.4k7 m radius turn at 96.5 km/h. What is the centripetal force on thbp utgk,3f94ev h.w)raq/e8y e motorcycle?

  A 0.50-kg mass is at 3go 9; wyy4jnfkc0:irx)n.rftached 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 masnof yr90jc x;f3:)r 4wni ky.gs if the string is not to break?

  A stone, of mass m, is attached to a strong string and whirled in a vert3igbq oq .g9 bmrh43gv0bc;q ,ical circle of radius r. At the exact top of the path the tension in the string is 3 times 3. gbqbgbo,c43mhrv9q gi; q0the 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 ioqa0y*xg( +)hxu u4dwhirled in a vertical circle of radius r. At the exact bottom of the uuh+i(xydoq*x 4g a0)path the tension in the string is 3 times the stone's weight. The stone's speed at this point is given by

  A jet plane flying 60;zbv3mzmz473 qs +opi;l1ns u 0 m/s experiences an acceleration of 4g when pulling out of the dzim 7zp3v;l ;zbm uo3+nqs4s1ive. What is the radius of curvature of the loop in which the plane is flying?

  A pilot makes an outside vertical loop (in which the mnu:dg*- 9n z ka(n+chh.8i cecenter 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 weight. How fast is he going?zeanc9*h u-+kn8 . gh(i m:ncd

  The maximum force a pilotzqq7 mk(s;95 mo m7wah can stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pumhs wo ;k7m 9a7z5q(mqlling out of a vertical dive, can tolerate at a speed of 250 m/s?

  A car traveling 20 m/s rounds an 805 nd/d4oxm 9o+g4zpcn-m radius horizontal curve with the tires on the verge of slipping. How fast can this car round a second curve of radius 320 m? (Assume the same coefficient of friction between tdn xo ndp+go4 m49z5/che car's tires and each road surface.)

  A car is negotiating a flat curve of ra5na 0qx/8 ntmadius 50 m with a speed of 20 m/s. The centripetal force/aq5 xtm8 an0n 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/sg5kg5f(6.g hdd pu 3nf. What must be the minimum coefficient of frictiofhp35k g5 g(ndug.6fd n 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 curve. The coefficien kchg: ph5s)a,;pytmb 5pm 80at of friction between the tires and the road is 0.40. What is the minimum radius of the curve if the car is to sta8apbhg5;sp) 0cpkahmy 5t,m: y on the road?

  What minimum banking angle is required for an Ol+wz(oz27aizbknl(g*.yi2 u wympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ign z7b+zi 2n *.zk wyl(o2wgaui(ore friction.)

  A horizontal curve on a bobsledbi-e o q3p6+ sucb8;geays 0r4-6gwv v 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 radius 100 m, banked at an aiopm u: f0+xgq6 kx1l2ngle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80/ cu30 cyr *xb*h )cbundy,); g6rktfg m is banked 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 revolvy1hui*:x kjr)go1-w+y v+yazing uniformly in a horizontal circle of radius 0.500 kahyy:i1ux)j+w r1ov * +gyz -
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 accelerateslthc+h / -8giw at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radih lwt+8 -gich/us 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 ,yw5 / xc;)aonp7zf uja 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 pewywv;l co4rablq/rr+ 2t;(mp,eu 2 u,rson standing on the Earth, due to the Moon? /mw a;+4q2pwolr,y(tubvcr;2 le,ru The mass 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 force between two masses is F. If the masses +ps4- buwom1lare moved to half of their initial distance, what -som1ubp 4w l+is the gravitational attractive force?

  For a spacecraft going from the Eartae7+zco( ,l4q1dp8 3dyg a pxzh toward the Sun, at what distance from the Earth will the gravitational 4(3dpo 7l qdgaayzxp+e 1c z,8forces 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 Moonn 9c ;3fzt2 /8s vkucwabdx-2e 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 distance -v v8gwa wep18above the Earth equal to the radius of the Earth. What is her acceleration -w ewpvv818gadue to gravity?

  The radius of the Earth is R. fa,ts5vlfa 0 iwo)c1 /7a/w8nxno n6nAt what distance above the Earth's surface will the accelerati/w8vffal n/t0x nnwsoi n7, ac65a1) oon of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distancem98yhf ga) v4r above its surface equal to 3 times the radius of Mars. The acceleration o 4my8frvhg9a) f 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 acceleration of g;l5hzwjd0 t)hofcn18fy s, r. ravity tlj, f)5;ndh.w s1ch 8r0zofyis $32 \; m/s^2$. 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. Thbd5 y6. jatmb2e Earth has radius r. If the object is raised to a height of 3r above the Earth's surface, what is its wed2b6 y ja5.mbtight?

  By how many newtons does the weight of a kerqwu 9q.i)i*ix( ri;.zw4v 100-kg person change when he goes from sea level to an altitude of 5000 m? (The meaneuvii.qrzk .) i( w9r qi*xw4; 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 point 3w s0ou4.)2o6bjux9xc6hptdsq l * xn* ;:wwv zr above the Earth's surface. What is the satel66x jwdnw*qsox:)0 bc *how9.p vsxtz ;u2u 4llite's weight?

  A spherically symmetric planet has four times the Earth's mass and twice bozmebrscns a 1n-u-15gr 6l17 y*8 htits 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 s r51g m6b8 7-hetlbnu 11zcaorny*s-planet?

  During a lunar eclipse, theam,l 4ulg ax*9 Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. l ,m *a9xlag4u 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 transpor r pos37 v3mgba6jn20r*ssxm2ted 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 thr(v jwzi*8u;u e Earth (i.e., it just skims the surface of the Earth). What is ;r(ji vw zu*u8the 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 Eaecn;1q a,ewih -+xtl(rth (i.e., it just skims the surface of the Earth). How long does it take to make one revolution around the Earth? (The mean radius of qt;,+x 1(lcwe- ihan ethe Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit /27ogwnly5c ddx( gdlw2l/l-230 km above the surface of the Earth. It is observed to have a period of 89 min. What is the mass of the Eartlg/cnd/wylw x d l5dlo2(-g 27h? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupiter, has an orbig .u vs y/dbq0cwjz xp8tp3 g;5e)2o.qfl7t0ntal 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 planeacwd;v 0t fxv;i:19n t. bwzl/t 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 nk8e6lb l0hcw0q2 q9bg4 5;zp zr2kd iz.p f+vzearly 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 take moon B to complete an orzrq 8.;lf dw9ek+0 b4izcp hz6qbzgl 2k20pv5bit?

  The planet Jupiter i5 pehb))j6l9v5)aa9vvylc 0unas w x;s $7.78 \times 10^{11} \; m$ 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 avevefk f *s4o +hhpolr3:d-o u7j2e-;oe rage defuk fepo-d;+hhl4vj e3 s27o*o o-: ristance from Jupiter to the Sun? (The distance from the Earth to the Sun is $1.5 \times 10^{11} \; m$.)