The gravitational attraction F on a body a distance r from the center of Earth, where r is greater than the radius of Earth, is a function of its mass m and the distance r as follows:

where R is the radius of Earth and g is the force of gravity— about 32 feet per second per second (ft per sec²).
(a) Find and interpret F_m and F_r.
(b) Show that F_m > 0 and F_r < 0. Why is this reasonable?

Transcribed Image Text:

F = mgR²2 p2