Question

The force of gravitational attraction between two objects, each of mass m, is given by the formula F = Gm^2/r^2. Which of the following expresses G in terms of F , m , and r ?

A. G = F/m^2r^2
B. G = F/mr^2
C. G = Fr^2/m
D. G = F/m

Answer 1

The gravitational constant G can be expressed in terms of the force F, mass m, and distance r by rearranging the formula F = Gm^2/r^2 to G = Fr^2/m^2, which corresponds to answer choice C.

Step-by-step explanation:

To reorganize the formula for the force of gravitational attraction, F = Gm2/r2, to express the gravitational constant G in terms of F, m, and r, we can follow these steps:

Multiply both sides of the equation by r2: F * r2 = Gm2.

Divide both sides of the equation by m2: (F * r2) / m2 = G.

Simplify the expression: G = Fr2/m2.

So, the correct expression for the gravitational constant G in terms of F, m, and r is G = Fr2/m2. This means that if we know the force of gravitational attraction (F), the masses of the objects involved (m), and the distance between them (r), we can calculate the gravitational constant (G) using this equation.