08.19: Kepler’s Second Law about “sweeping out equal areas in equal time” w; a llj7twws*+s/t6f can be derived most directly from which conservatio *j twf/6sat7l+wws;l n law?

  16.17:“All planets in the solar system follow elliptic: xbkkt(*ecr d0mg0 /fal orbits with the Sun located at one focus of the ellipse.” This statement is best summarized by which one of the followink*mket0g: f (xr/cdb0g choices?

  99.21: What happens to the force of gravitational attraction bet m d/h+zmu:fqn(s 6o3yween two small objects if the mass of each object is doubled and the distance between their centers is d(3/n yqo6m u+m :dzfhsoubled?

  95.09 Two spherical bodies attract each other with a gravitational force of)xcs+q u:ovx o1n4/et 4.0 N. What will be the forcevosn ) x: 41qux+eo/tc if the distance between them is doubled?

  14.27: Two spherical, non-rotating planets, X andY, have the sahsp;jfax7 1 yya 8ree)p* h.7eme uniform density. Planet X has twice the radius op xa8pjhyes7e.* ra)ey f1h7;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 planets, X and Y, have wazq m *pv3e/ q 5 hs25awu-:qaoi0g-rthe same uniform density. Planet X has twice the radius of Planet Y. Let q5/2 qr-as 5-eghz m3:pwaauq*viwo 0$v_x$ 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 bs2wx g/lo3 w*3iy r*i epd1i5 small satellite by setting the gravitational force on the satellite equal to thbo12pl3i g5ey sir/i w*3*xw de 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 gravitatzrynp7 ho18 (dional force F at the surfacedzo(pny rh 178 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-Earthhq*k9pb 5sh7y .; dyon system (ignore any influence of the Sun), which one of the following best expresses the magnitude of the Moon’s acceleration about the Ear.*hy5nh; oq 7spdb9y kth?

  02.19: As a rocket blasts away from the earth with a cargo for s 0eq83j8 i2pv3tt(gprhxy ,wdzf ;w)the international spac8 wtx;w2r ei0 fpg(qph)3 ,dvy38zjt se station, which of 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 sameozcp,n 8mg8a 40 8z ejy/i9vyn gravitational force as a second objecti gmv op8ny4 08zjc8zn,aey/9 at the surface of the Earth. Which of the following would be a reasonable conclusion?

  00.24 Consider an object that has a mswsm nv *tk 6-3bt,6lwass, m, and a weight, W, at the surface of the m tlbt,*6 snm 3-kswv6woon. 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 its surface?

  96.23: A hypothetical planet has kwoh4 j)vu1t4seven times the mass of Earth and twice the radius of t)jh4 ou1vwk4Earth. 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-fift2vtf8hbo* me 2h the Earth’s mass. The gravitational acceleration at the surface of the planet is most nearlm*28oetv hf2b y

  08.38: Akg 1200 satek zbipc3+btl;:,5l3pqcctd+ llite orbits Planet X in a circular orbit with a constant speed of 5,000m/s. The radcl3i, c p3z: ;p 5dcblt+qtkb+ius 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 planerl0rnf gw 6h4-3qr/k/lsj c/9 aaj5zmt orbits a star with mass one-half the mass of our sun. The planet’s orbital radius is the same as the Earth’s. Approximately how many Earth years does it take for the planet torlzc 9rwmq0l4 j/jnrk /36 gf/5a- has complete one orbit?

  97.12: Two artificial satellites,be8vl w-0cjo8)2n ltrfhuy- 5 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 Tj8)l8 -v25tl0r-bo nefuy whc, what is the period of satellite 2?

  15.22 Satellite 1 makes a circular orbit l- 1z vxsxkd 3fmq9**baround 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 fota4u;a- hgw p 7q1imt;dc c 4f*l7dcw,rce a scale registers. If the Earth were to stop rotatint4ilhc 4q -*du;7c 7pf w,g1wcmaa;dtg, but not change shape,

  10.42: A comet moves in an elliptical orbit ahcod z;, dngl83g0; 5/ w* vboc5fogtwround the sun. As the comet moves from aphen8w05od gofvolh d;, cz* 3;cw5tb gg/lion (the point on 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 starbhnb0f9+q,l l system shown, 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 attr9 0llqnh b+,bfaction. 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 c: c);8smgef ek th v:1k)8krnyircular orbit with speed vand orbital radius R around a heavy stationary mass. An external impulse is quickly applied to the rocket directly opposite to ;e yrg )ehc:8v1mkn8)kts kf: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