08.19: Kepler’s Second Law about “sweeping out equal areas in +yhuhkh6mj6 5 equal time” can be derived most u k6hh+ym56hj directly from which conservation law?

  16.17:“All planets in:un3 co );9h*cdssk ri the solar system follow elliptical orbits with the Sun located at one focus of the ellipse.” This statement is best summarized by which one of the followink;icn* :c3hr sud9o)sg choices?

  99.21: What happens to the force of gravitational attraction between two szmm8hwv;0y:px,5.ao ug clz 6mall objects if the mass of each object is doubled and the distance between theiczou8 g.a6; x mwzlp y:h5v,0mr centers is doubled?

  95.09 Two spherical bodies attract each other with a gravitational force of qj u.dk3vq.zs.x2o75f wu;cv4.0 N. qj2z;vosqwfu7.c.5 k. xvd 3uWhat will be the force if the distance between them is doubled?

  14.27: Two spherical, non-rotating planets, X annoie2 4v cf0;tc)j- zvdY, have the same uniform density. Planet X has twice the radius of Planet t; vco) i2fjzv-c0ne4Y. 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 and uzg:r j9, u5 9.dlymewY, have the same uniform density. Planet X has td99 g zue:yru,jlwm. 5wice 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 it is orbited by a small satelg,y y u,epa2t1lite by setting the gravitational force on the satellite equal to the centripetal force on the satellite. Which of the following would NOT be requirupgy,y ea 12,ted in this calculation?

  99.11: Assume that the Earth attracts Jo( lty funt ss.-g5te n/gws-(46v ow;uhn Glenn with a gravitational force F at the suru w-t (gf o65.4ltntgwssn y-u vse(;/face of the Earth. When he made his famous second flight in orbit, the gravitational force on John Glenn while he was in orbit was closest to which of the following?

  14.30: Considering only the Moon-Earth system (whuu)q+r3uq *ignore any influence of the Sun), which one of th+q)rquhw uu*3e following best expresses the magnitude of the Moon’s acceleration about the Earth?

  02.19: As a rocket blasts away fromjcnz1u.i*c l/ the earth with a cargo for the international space station, which of the following graphs woc j/. zun*l1iculd best represent the gravitational force on the cargo versus distance from the surface of the Earth?

  99.33: One object at the surface of the Moon experiences the same gravitatio xu d0 0h2(j)) zxuhr1+fnxvvsnal force as a second object at the surface of the Earth. Which of the following would be a rz nv)uhjf+rxx s(v001)2uxhd easonable conclusion?

  00.24 Consider an object that has a mass, m, and a weight, W, at the surface ylcbjb9h96 4sv3gd, jof the moon. If we assume the moon has a nearly uniform density, which of the following would be closest to the obje6jh9 g lbyb,v9jd4cs3 ct’s mass and weight at a distance halfway between Moon’s center and its surface?

  96.23: A hypothetical planet has seven times the mass of Earth an,uf 4dr9 kkf/i e+)fwrd twice the radius oek +)ffr,u wi 9/dkr4ff Earth. The magnitude of the gravitational acceleration at the surface of this planet is most nearly:

  98.24: A planet has a radius one-half that of Earth and a mass one-fifthz2s0f m, pn ms zh65.sfoa,na( the Earth’s mass. The gravita,0zs6 fa5mpsn o.h2z(,fam nstional acceleration at the surface of the planet is most nearly

  08.38: Akg 1200 satellite orbits Planet X in a circular orbs 3:sfw+o( auqwy4y o8it with a constant speed of 5,000m/s. The radius of orbit is 7,500,000 m. What is the magnitude of the gravitationafa8o y su :4q(w+s3wyol force exerted on the satellite by Planet X?

  94.34: A hypothetical planet orbits a star with mass one-half the ma rckh)+byzd5a/f .l9ass of our sun. The planet’s orbital radius is the same as the Earth’s. ar 9+b/f. c)k5ah dzlyApproximately how many Earth years does it take for the planet to complete one orbit?

  97.12: Two artificial satellites, 1 and 2, are put in);h rjqskk; 7p(+ ixamto circular orbit at the same altitude above Earth’s surface. The mass of satellite 2 is twice the mass of satellite 1. If the period of satellite 1 is hspam( x)kj ;qr+ik7;T, what is the period of satellite 2?

  15.22 Satellite 1 makes a circular orbit around the Earth with a radius *yi l*plfx5j,$r_1= R$. 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 followingiwb/2a,jkw ;js7 wpi - problem, the word “weight” refers to the force a scale registers. If the Earth were to stop ,jpws/jka2ww;7 b -ii rotating, but not change shape,

  10.42: A comet moves in an el bkdg4,3mk)e7f.e jt gliptical orbit around the sun. As the comet moves from aphelion (the point on bjg7e de.m,3kt4gfk)the orbit farthest from 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 two stars follow c/u,5ued 4 xrtgircular 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 attractiodxt,/ueg u5r4n. The orbital period of the star of mass M is T. Which one of the following choices represents the total mass of the binary star system?

  06.50: A rocket is in a circular o;7e6oem ejq, yrbit with speed vand 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 semi-major axis a of th6qyoe7jm ee,;is new elliptical orbit is