08.19: Kepler’s Second Law about “sweeping out equal arh8*lv6l8hz q veas in equal time” can be derived most dl*68zv8qhlv hirectly from which conservation law?

  16.17:“All planets in the solar system follow elliptical orbitn bk*p cuczbf5a*2;vi, ,9vyhs with the Sun located at one focus of the ellipse.” This sta zu 5bcn,h;a*bi k29pvy*,fvctement is best summarized by which one of the following choices?

  99.21: What happens to the forceiu3fqctx- s *, of gravitational attraction between two small objects if the mass of each object is doubled and the distance be qc -is,fut*x3tween their centers is doubled?

  95.09 Two spherical bodies attract each other with a hsnfb2qd)fcv 7, pz* 0gravitational force of 4.0 N. b)s ff20qz nv*d7c hp,What will be the force if the distance between them is doubled?

  14.27: Two spherical, non-rotating planets, X andY, have the same ua:kp3 dp78o0 zjqa+nsniform density. Planet X has twice the radiuszn7pj aoa803kqdps +: of 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 planets, X and Y, have t (gyjb00 ini,a.t jjglehj0tp.241dv he same uniform density. Planet X has twice the radius of g4tj0i dt0vn2h. jjyj(1pb a,leg. 0iPlanet 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 5*xxpr ocoms0lg1- 8p can be calculated if it is orbited by a small satellite by sett pxx8ro1pslcg* -0m 5oing the gravitational 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 gravitational force )o7 u.jzs4damort p:4F at the surface of the Earth. When he made his famous second flight in orbit, the gravitational force on John Glrd4 mo su:7a) opzt4j.enn while he was in orbit was closest to which of the following?

  14.30: Considering only the Mkb(tuk 2xh, 6eoon-Earth system (ignore any influence of the Sun), which one of the following best ext 2k6bh ke,ux(presses the magnitude of the Moon’s acceleration about the Earth?

  02.19: As a rocket blasts away from the earth with a cargo 2 tajwp8is ;2ofor the international space station, which of;i28ow2t jspa the following graphs would 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 gravitatio2yc kyk15rpt 0 3n3o0s4mgp1o1zbts e nal force as a second object at the surfc os0kypg r z301omtn3ke425yt 1p1sbace of the Earth. Which of the following would be a reasonable conclusion?

  00.24 Consider an object that has a mass, m, and a weight, gw4oov* 5qny7t z2m:sW, 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 and i q2zvnt4o*ym57 og w:sts surface?

  96.23: A hypothetical planet has seven times thedon-5kf1we9q5d kd)v mass of Earth and twice the radius of Earth. The magnitude of the gravitational acceleration at the surface of this planedod5 1 )n-kd vqe95kfwt is most nearly:

  98.24: A planet has a radius one-half that of Earth and a m1 dprye e.:mvm :/d t7)w4twordezk/+ass one-fifth the Earth’s mass. The gravitational acceleration at the surfaweye/pddm:zt/wr+:1 v 4m7dt. k )roe ce of the planet is most nearly

  08.38: Akg 1200 satellite orbits Planet X in a circular orbit with a co3rz gd0twnv 88nstant speed of 5,000m/s. Thew tv88r z3g0dn radius 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 n,zvdnq5 r0*;k/b *m+oyfg ema star with mass one-half the mass of our sun. The planet’s orbital radius is the same as the Earth’s. Approxim/n de;qm oz*ky,0 5+rnmfbgv *ately how many Earth years does it take for the planet to complete one orbit?

  97.12: Two artificial satellites, 1 and 2, are put into circular orbitaf tsf1 ag:e ,6-/ghkd at the same altitude above Earth’s surface. The mafg fgt:/a1 d ,6hsak-ess of satellite 2 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 circular oi i6,m7ob-/y ucb4zplrbit 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 wory+4dfvygxe9e- 4 v*/rqry +f: iakb s*d “weight” refers to the force a scale registers. If 9yd4**+:xi qk yve+a-yff rre /vs4gbthe Earth were to stop rotating, but not change shape,

  10.42: A comet moves ink vv3ku zp7 0+.boakjdeyh-,0 an elliptical orbit around the sun. As the comet moves 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 res. 3+uz k,dp0okevb7k0y-h jv aults is true?

  17.48: In the binary star system shown, the two stars follow circular orbits abo zlarsl6us uv6tt 64(3ut 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 t 6(v6a tsl 4u3ul6zsrperiod 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 circubp4)t0z oc z.r 3-1hfsmw 6e+ynb,annlar orbit 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 this new elliptical orbit i f+bw1nz pb cy 3zhnsme4-r.6 ,tao)0ns