08.19: Kepler’s Second Law about “sweeping out equal areas in equal time” cant d1 2p ljps61.6tkqby be derived most directly from which conservation law?.pjqdptk1ty 16l26bs

  16.17:“All planets in thxh-( lkehez34e solar system follow elliptical orbits with the Sun located4 h-zeelk3 x(h at one focus of the ellipse.” This statement is best summarized by which one of the following choices?

  99.21: What happens to the force of gravitational attraction between two avrzx1 (()iq-u gx6qk7.d;q ,lft hijsmall objects if the mass of each object is doubled and the distance between their 61)l7zxkfid t-rq.xj (quvq;,aih(g centers is doubled?

  95.09 Two spherical bodies attract each other with a gravitationafblb /ls9 f*34yt2xj kusr.+w l force of 4.0 N. What will be the fof.ufs b93 kwl2rjs / lx4t+y*brce if the distance between them is doubled?

  14.27: Two spherical, non-rotating planets, X andY, have thebv 2+xumtt6 ku va bnu2c2l 8e,cvx0/3 same uniform density. Planet X has twice the radius of 2u v+ / 6,tkumcb2c02vabvxtxn 3lue 8Planet Y. Let $g_x$ and $g_y$ represent the accelerations due to gravity at the surfaces of Planet X and Planet Y, respectively. What is the ratio of $g_x:g_y$?

  16.46 Two spherical, non-rotating planets, X and0u)p8c vz+izh Y, have the same uniform densit0uc+)zvzhpi 8y. Planet X has twice the radius of Planet Y. Let $v_x$ and $v_y$ represent the escape speed at the surfaces of Planet X and Planet Y, respectively. What is the ratio of $v_x:v_y$?

  01.16: The mass of a planet can be calculated if ,ooo-50n ix.rtjytgz poez 23mq( g.9it is orbited by a small satellite by setting the gravitational force on th o09-,o2r q j5oze tp3.ngxty giz(m.oe satellite equal to the centripetal force on the satellite. Which of the following would NOT be required in this calculation?

  99.11: Assume that the Earth attracts John Glenn with a graviphk3ru:h7r.hm y f8idj6 w a;v2y1,ngtational force F at the surface of the Earth. When he made his famous second flight in ova y62jy1r7 kunid3,wprm h8.f :ghh;rbit, the gravitational force on John Glenn while he was in orbit was closest to which of the following?

  14.30: Considering only the Moon-Earthblry;eqq/u*g + 0ai):i, v8skh /c lvg system (ignore any influence of the Sun), wh a/,c)e+ viy0*i8sr ubgk/: l; gqhvqlich one of the following best expresses the magnitude of the Moon’s acceleration about the Earth?

  02.19: As a rocket blasts away from the earth with a cargo for the in q8* ufbrp.-foternational space station, which of the following graphs would best repo *r8fuf-p q.bresent the gravitational force on the cargo versus distance from the surface of the Earth?

  99.33: One object at the surface of 8k1luy48 4upzavaq s-the Moon experiences the same gravitational for1qal4 a p-u8ys84 vzukce as a second object at the surface of the Earth. Which of the following would be a reasonable conclusion?

  00.24 Consider an object tbk8j 3 fgx:g*ehat has a mass, m, and a weight, W, at the surface of the moon. If we assume the moon has a nearly uniform density, which of the following would be closest to the object’s mass and weight at a distance halfway between Moon’s cenb*e8:f 3gxkgj ter and its surface?

  96.23: A hypothetical pli +/1 epbvjg,(:jremn2ti0jkanet has seven times the mass of Earth and twice the radius of Earth. The magnitude of the gravitational acceleration at the surface o(t kj0mb2/1v p jreij+g:n,ief this planet is most nearly:

  98.24: A planet has a enpat)4/6 sbu+t 1-un6 qgojlradius one-half that of Earth and a mass one-fifth the Earth’s mass. The gravitational acceleration at the surface o/n e6 nbq4us1+)at 6-optjulgf the planet is most nearly

  08.38: Akg 1200 satellit h5o tfc aywiv68w**n qfqn;:(e orbits Planet X in a circular orbit with a constant speed of 5,000m/s. The radius of orbit is iof56:nqv a8hqw(*y ft;*cnw 7,500,000 m. What is the magnitude of the gravitational force exerted on the satellite by Planet X?

  94.34: A hypotheticaaw0cv9ptk 8(3vebcz eh. b :o;l planet orbits a star with mass one-half the mass of our sun. The planet’s orbital radius is the same as the Earth’s. Ap bevpwko (e:tbc 8h0v39 z;.caproximately how many Earth years does it take for the planet to complete one orbit?

  97.12: Two artificial satellites, 1 as: cn+ygt +dq4gb5:u n-,h-1nqbfg onnd 2, are put into circular orbit at the same altitude above Earth’s surface. The mass of satellite 2+cdg- n,+ ug-gnbb qnoh:1s:yq5f tn4 is twice the mass of satellite 1. If the period of satellite 1 is T, what is the period of satellite 2?

  15.22 Satellite 1 makes a qgr b; o-ypes:6 .fj*ncircular orbit around the Earth with a radius $r_1= R$. Satellite 2 makes a circular orbit around the Earth with a radius $r_2= 2R$. We let v represent the speed of a satellite and a represent the magnitude of a satellite’s acceleration. Which one of the following choices gives the correct relation between the speeds and accelerations of the satellites?

  98.33: In the following problem, the word “weight” refers to the forvjqzd6e 1q1:4j8 to aqce a scale registers. If the Eae j qz:1t4q81odvja6qrth were to stop rotating, but not change shape,

  10.42: A comet moves in an elliptical orbit ar a(w1+ro9n 5gu +o vj5h4rsp(nnrqb q(ound the sun. As the comet moves from aphelion (the point on the orbit farthest fromuqrqw(4noha+ps(gb5 j+5 n9( n1vo rr the sun) to perihelion (the point on the orbit closest to the sun), which of the following results is true?

  17.48: In the binary star system shown, the t1- tbs9fsvbi 9u;6srcu;+ cff wo stars follow circular orbits about the system’s center of mass. The stars are separated by a distance D that is large compared to their size and are subject only to their mutual gravitational attraction. The orbital period of the star of mass M is T. Which one of s6r+s9 cbtui u bf-9;s;1ffvcthe following choices represents the total mass of the binary star system?

  06.50: A rocket is in a circular orbit with speed vandi:,x+z* z4zm4j xmd pd orbital radius R around a heavy stationary mass. An external impulse is quickly applied to the rocket directly opposite to the velocity and the rocket’s speed is slowed to v/2, putting the rocket into an elliptical orbit. In terms of R, the size of the sem,xz 4ijx+:4z pmzdm*di-major axis a of this new elliptical orbit is