Final answer:
To isolate the gravitational constant G in the formula F = GMm/r², multiply both sides by r² and then divide by Mm to get G = Fr²/Mm.
Step-by-step explanation:
The formula given is the equation for Newton's universal law of gravitation, which can be rearranged to solve for the gravitational constant, G. To do this, we need to isolate G on one side of the equation. Starting with the formula F = GMm/r², we multiply both sides of the equation by r² to get Fr² = GMm, and then we divide both sides by Mm, resulting in G = Fr²/Mm.
This equation can be used to calculate the gravitational constant when the force F, the mass of Earth M, the mass of the object m, and the distance r are known. The gravitational constant G is a universal constant with the value of approximately 6.67 × 10⁻¹¹ Nm²/kg².