08.19: Kepler’s Second Law about “sweeping out equal ar82vw hf8o )vkueas in equal time” can be derived most di8 hf2)wo8vukv rectly from which conservation law?

  16.17:“All planets in the solar system follow ehp8 hj; 6qm6vh1eox;b oe w-1rlliptical orbits with the Sun located at one focus of the ellipse.” This statement is best summarized by which one of the following choices? jx 8mwoh;v 6ep1ohrh; b6eq-1

  99.21: What happens to the for jg4k*l:u prt)h39wxh v/hg (v5u2bs ice of gravitational attraction between two small objects if the mass of each object is doubled anx: /pj4hbgiugv( kvtuw2h 93rlh5s *) d the distance between their centers is doubled?

  95.09 Two spherical bodies attract eacewfkd9sm nq-(8p;au5 h other with a gravitational force of 4.0 N. What will be the force if the distance between them is doublem- 9 (dupwnsk8e 5;qafd?

  14.27: Two spherical, ;b fw(,nkk 5xdjy-k ,unon-rotating planets, X andY, have the same uniform density. Planet X has twice the radius odux,ny,jkk-(f5 bwk ; f Planet 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 ply,e. 9/+yzo4g2c sfgcfa k6hbanets, X and Y, have the same uniform densitykhy2 9 , +/.cy4gszabecof6fg. 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 q ,,s;x ;eazu7 bga;ffcalculated if it is orbited by a small satellite by setting the gravitationaqf,,;;s 7x;aab zf eugl force on the 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 g 3g t3zcay8*zukr(*wtravitational force F at the surface of the Earth. When he made his famous second flight in orbit, the gravitatiar 8t* yw zk(gt*3cu3zonal force on John Glenn while he was in orbit was closest to which of the following?

  14.30: Considering only the Moon-Earth system (ignornu3aq;rbq+m tiioo9,d .k;* h9 ww f :93kpklwe any influence of the Sun), which one of the following best expresses the magnitude of t on+qtw9mao;k3 fk:*qirk lw9 9 i ,b;phwu3.dhe Moon’s acceleration about the Earth?

  02.19: As a rocket blasts away from the earth wi 5brzaoa8; c *nm8i3lm:wvag;th a cargo for the international space station, which of the following graphs would best represent the gravitational aabv;*mmgl5;ia38 or 8 nz cw:force on the cargo versus distance from the surface of the Earth?

  99.33: One object at the surface of the Moz s7cu1hj16 ) xouxk9qon experiences the same gravitational force as a second object at the surface of the E7c1h1 )jqs z 9uoxx6ukarth. Which of the following would be a reasonable conclusion?

  00.24 Consider an object that has a masit /n jtts c9 /9temp2+-d7onfs, 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 2t p7itdmnct/j 9fest9 +n-o/object’s mass and weight at a distance halfway between Moon’s center and its surface?

  96.23: A hypothetical planet has seven times tjm cplsd8ts4)cswk7w:r - .g;he mass of Earth and twice the radius of Earth. The magnitude of the gravitational acceleration at thecw7jr c :w;gd)s.8pmlt-s4 ks surface of this planet is most nearly:

  98.24: A planet has a radius one-half that of Earth and ab;u jx- ojo:n, mass one-fifth the Earth’s mass. The gravitational acceleration ato ;x-,jjuno:b the surface of the planet is most nearly

  08.38: Akg 1200 satellite orbits Planet X in a circular orbit with a cq65gh28nw4 )zah la aeonstant speed of 5,000m/s. The radius 8wgn65q4haal)aze h2 of orbit is 7,500,000 m. What is the magnitude of the gravitational force exerted on the satellite by Planet X?

  94.34: A hypothetical planet orbits a star with mass one-half the ma e-jxkf8 v0wl5 gq)cp3ss of our sun. The planet’s orbital radius is the same as the Earth’s. Approximately ho5) gwf8-0 pjl ekcvq3xw many Earth years does it take for the planet to complete one orbit?

  97.12: Two artificial satellites, 1 and 2l x*elua/(sh- , are put into 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 satellitexua /*h(lesl- 1 is T, what is the period of satellite 2?

  15.22 Satellite 1 makes a circular orbit around the Earn3a/ woohuv k8*psczo( w(nmz32-j : (2 myncuth 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”op gtani,qr *,,ic/wybdwj q7h :4::k refers to the force a scale registers. If the Earth were to stop rotating, but not:b,oiqhq/y* dkn7g: j:,4a ic rwptw, change shape,

  10.42: A comet moves in an elliptical orbit around the sun. As the comet movej9lxl+o8wz-2 pml,x6s1emej 0x gh7k s from aphelion (the point on the orbit farthest from the sun) to perihelion (the point on the orbit closest to the sun), which of the following resultl hx6l, wo+ep 8ex17j-9gkjl02zmmsx s is true?

  17.48: In the binary star system shown, the dy0/jafua5ri /qk,bu b1 :pr 8two 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 the following choices represen rarp/kuyi/j fb 8q 51u:0a,bdts the total mass of the binary star system?

  06.50: A rocket is in a circular orbit with speed yr+pg4xk)o0 hdf8u jz9zu. u ;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 o9uuryu0 xf .odgj8 h+k)z4pz;f this new elliptical orbit is