Question

find out the correlation and write in one sentence. 1)gravitation force and the distance of separation. 2)escape velocity and the mass of the planet. 3)gravitation force and the mass of the objects. ​

Answer 1

Explanation:

the mass of on object does not decrease in a gravitational field (it measures an intrinsic property of the body: its inertia). What can decrease is the weight of the object, that is the product of the mass times the gravitational acceleration, m*g, in the classical, not-general relativistic, picture. Infact, inside a sphere with uniform average density d, the gravitational acceleration g goes linearly with distance R from center: g = 4*pi*G*d*R/3 (as a consequence of Gauss theorem applied to Newton's gravitational law) so that at R=0, you get g = 0 and therefore no weight (but still the same mass m).