Express your answers for the questions below in terms of the gravitational con- stant g, the masses, and the distance l. assume that the stars move on circular orbits. (a) what is the rotational period t of an equal-mass (m = m = m) double star of sepa- ration l? [10 points) (b) what is the rotational period t of an unequal-mass ( m m ) double star of separation l? (15 points) (c) what is the rotational period t of an equal-mass (m1 = m = m3 = m) triple star, where the stars are located at the corners of an equilateral triangle (side l)?

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

luster is not a good characteristic to use by itself because luster is the property of minerals that indicates how much the surface of a mineral reflects light. the luster of a mineral is affected by the brilliance of the light used to observe the mineral surface.

the old price per ounce is c/4.

the new price per ounce is c/3.6.

the ratio of the old price to the new one is

(c/4)/(c/3.6) = (c/c)×(3.6/4) = 0.9 . . = 9/10 . . "nine tenths" in either form