Question

Up until this stage, we have calculated this gravitational force using the following equation: ______ where g = gravitational acceleration, and g = 9.8 m·s⁻² for objects near Earth's surface.

A) F = G(M1 * M2) / r²
B) F = G(M1 + M2) / r
C) F = G(M1 * M2) / r
D) F = G(M1 + M2) / r²

Answer 1

The correct equation for gravitational force is F = G(M1 * M2) / r², where G is the gravitational constant, M1 and M2 are the two masses, and r is their separation.

Step-by-step explanation:

The equation that has been used to calculate the gravitational force is: F = G(M1 * M2) \/ r², where G is the gravitational constant, M1 and M2 are the masses of the two bodies, and r is the distance between the centers of the two masses. Gravitational acceleration, denoted by g, is approximately 9.8 m·s² near Earth's surface, and it can be related to Newton's law of universal gravitation by equating mg to F, where m is the mass of an object, g is the acceleration due to gravity, and F is the gravitational force. This relation allows for the determination of the gravitational force an object experiences due to Earth or any other celestial body.