08.19: Kepler’s Second Law a3,yfugp snm)ux +1 d-cbout “sweeping out equal areas in equal time” can be dcfyx,dm)31s+p-n uu gerived most directly from which conservation law?

  16.17:“All planets in the solar system629jy ynz na/a follow elliptical orbits with the Sun located at one focus of the ellipse.” This statement is ba ayyn2nzj9 6/est summarized by which one of the following choices?

  99.21: What happens to the 4ej3j,h.e equforce of gravitational attraction between two small objects if the mass of each object is doubled and the distance between their centers is doubledeqe 3 .,ujje4h?

  95.09 Two spherical bodies attract each other with a gravitational forcem 87oh/ f:+kvvbf/omc of 4.0 N. Wha/mv7bmf ov c8fh/o k+:t will be the force if the distance between them is doubled?

  14.27: Two spherical, non-rotating planets, X andY, have the same uniform depq3o cn 9/ n+g 14gd+ lyztd7rxh;ue*nnsity. Planet X has twice the radius of Planet Y. Len d;ozp+* ncgn+1td/7 9ugy3h xlq4ret $g_x$ 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-rotatinvd/u md h3f*h5g planets, X and Y, have the same uniform densitydh3 u5hmv*/ fd. 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 by ib-f b:5 ,o. vqx5xq;gyum)ie calculated if it is orbited by a small satellite by setting the gravitational force on the satellite equal to the centripetal force on the satellite. Which of the following would NOT be required in this calculation5x-gq iq.:bum ,ixb;yvyo5 f) ?

  99.11: Assume that the Earth n nzzf5 l:qu2 *d9mv 2ysy8t 9napnq/*attracts John Glenn with a gravitational force F at the surface of the Earth. When he made his famous second flight in orbit, the gravitational fornzaf2 qln :*9s/*y5pv9und zmn2q y8tce on John Glenn while he was in orbit was closest to which of the following?

  14.30: Considering only the Moon-Earth system (ignorejvn +kq4239ldsw) uic any influence of the Sun), which one of the following best expresses the magnitude of the Moon’j2 uc)d3+iq9wv nlks4s acceleration about the Earth?

  02.19: As a rocket blasts away from the earth withckfsm,x(a5pm 0f7 naf1ke8+ g a cargo for the international space station, which of the following graphs would best represent the gravitn5f0xs7+m( ac,kp8ff1 am ekgational force on the cargo versus distance from the surface of the Earth?

  99.33: One object at thj70 st;w-abfc e surface of the Moon experiences the same gravitational force as a second object at the surface of the Earth. Which -sja7bf t0;wcof the following would be a reasonable conclusion?

  00.24 Consider an obj, *d upp2dbad9ect that 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 center d p db92apu,d*and its surface?

  96.23: A hypothetical planet has seven times the mass of Earth and twice tam+ 8rvg54zk *lk, /szdilc7f he radius of Earth. The magnitude of the gravitational accelerationvz5+cd, g4l /a silkmz *78kfr at the surface of this planet is most nearly:

  98.24: A planet has a radius one-half that of Earth and r.az1 t32hufw a mass one-fifth the Earth’s mass. The gravitational acceleration at the suuth3 aw2 fzr.1rface of the planet is most nearly

  08.38: Akg 1200 satellite orbits Pla 8qhn0c deu;uftq/70t net X in a circular orbit with a constant speed of 5,000m/s. The radius of orbit is 7,500,000 m. What is the magnitude of thecu u e0;/f7t0dtnhq8q gravitational force exerted on the satellite by Planet X?

  94.34: A hypothetical planet orbits a star with mass one-half the mass of ooo2+gp* zu dt7ak .:kwur sun. The planet’s orbital radius is the same as the Earth’s. Approximately how many Earth years does it take for the planet to complete one orbu ok tz.dk+2agwpo*: 7it?

  97.12: Two artificial satellitegh bnw6(q..a pn 1r9r8lmnymqmv7 ;2es, 1 and 2, 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 satellite 1 is T, what is the period of satelhe.qa8y;9 v2rmn p6n1 g(m nqlrbmw7.lite 2?

  15.22 Satellite 1 makes a circular orbit around the Earth with i9lyg:b( e/ns 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 bb - .ds2dht)z“weight” refers to the force a scale registers. If thehbbd.s2 )-z td Earth were to stop rotating, but not change shape,

  10.42: A comet moves in an elliptical orbit around the sun. As the eca o8muwxk8a+- +q:ycomet moves from aphelion (the point on the orbit farthest from the sun) to perihelion (the point on the orbia8 -kx cua+y:oq+ 8mwet closest to the sun), which of the following results is true?

  17.48: In the binary star system shown o.hk9uku .r8g:r hy5c, the two 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 represents the total mass of thu:y5rko8c . rhu9.gk he binary star system?

  06.50: A rocket is in a cah:o51ts7.b t0r ovb rircular orbit with speed vand orbital radius R around a heavy stationary mass. An rt0:57bhrosa .ob 1tvexternal 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 this new elliptical orbit is