According to the National Center for Health Statistics, the average mass of an adult American male is 86 kg. Determine the mass and the weight of an 86-kg man on the moon where the gravitational field is one-sixth that of the Earth.

(a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.00 ✕ 1024 kg and its moon, with mass 2.50 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m. (Answer in N)   (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) Answer in m/s2 (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) Answer in m/s2

Chapter 13, Problem 011 In the figure, two spheres of mass m = 9.24 kg. and a third sphere of mass M form an equilateral triangle, and a fourth sphere of mass mą is at the center of the triangle. The net gravitational force on that central sphere from the three other spheres is zero. (a) What is the value of mass M? (b) If we double the value of m4, what then is the magnitude of the net gravitational force on the central sphere? M (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work Question Attempts: 0 of 10 used SUBMIT ANSWER SAVE FOR LATER

(a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.00 ✕ 1024 kg and its moon, with mass 2.20 ✕ 1022 kg, if the average distance between their centers is 2.50 ✕ 108 m. (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)