I Sample Problem 0 Find the distance between a 0.300 kg billiard ball and a 0.400 kg billiard ball if the magnitude of the gravitational force between them is 0.92 x 10'\" N. 0 ANALYZE Given: m 1 = 0.300 kg m2 = 0.400 kg Pg: 3.92 x 10-11 N Unknown: r: ? e SOLVE Use the equation for Newton's law of universal gravitation, and solve for r. _ m rmz F3 G r2 m m r = G :3 2 3 11 Num2 x (0-300 kg)(0.400 kg) ksz 8.92 x 10'11N (6.573 X 10' r = 3.00 x 101111 1 . What must be the distance between two 0.800 kg balls ifthe magnitude of the gravitational force between them is equal to that in Sample Problem C? 2. Mars has a mass of about 6.4 x 1023 kg, and its moon Phobos has a mass of about 9.6 x 1015 kg. If the magnitude of the gravitational force between the two bodies is 4.6 x 1015 N, how far apart are Mats and Phobos? 3. Find the magnitude of the gravitational force a 66.5 kg person would experience while standing on the surface of each of the following bodies: Celestial Body Mass Radius 11. Earth 5.97 x 102'1 kg 6.38 x 106 m b. Mars 6.42 x 1023kg 3.40 x 105 m c. Pluto 1.25 x 1022kg 1.20 x 105m