An object of mass m is on the surface of the Earth. The distance to the Sun and the Moon are dS and dM, and the masses of the Sun and Moon are MS and MM. What is the ratio of the gravitational force from the Sun to that of the Moon on the object?
a. MSMM /dSdM
b. MSMM /d2Sd2M
c. MSd2M /MMd2M
d. MMd2S /MSd2M
Question 2
A double-star system with each star having the mass of the Sun has an orbital period of 1 year. A second double star system, also with each star having the mass of the Sun, has an orbital period of 8 years. If the separation of the stars in the first system is d and the orbits in both cases are circular, what is the separation of the stars in the second system?
a. 0.5d b. 2d
c. 4d d. 8d