Question

What is the formula for the law of universal gravitation, and how can you rearrange it to solve for the gravitational constant G when given values for force (F), the masses (1m1​ and 2m2​), and the distance (r)?

Answer 1

The formula for the law of universal gravitation is F = (G * M₁ * M₂) / R². To solve for the gravitational constant G, you can rearrange the formula to G = (F * R²) / (M₁ * M₂).

Step-by-step explanation:

The formula for the law of universal gravitation is F = (G * M₁ * M₂) / R², where F is the gravitational force between two objects, M₁ and M₂ are the masses of the two objects, G is the gravitational constant, and R is their separation.

To rearrange this formula to solve for the gravitational constant G, you can isolate G by multiplying both sides of the equation by R² and dividing by the product of the masses M₁ and M₂:

G = (F * R²) / (M₁ * M₂)

In this rearranged formula, you can substitute the given values for force (F), masses (M₁ and M₂), and the distance (R) to solve for the gravitational constant G.

Learn more about Gravitational Constant