Question

Newton law of gravitation is given by the formula

F=G(m1 m2/d^2)
Where F is the force between two masses m1 and m2 G is the gravitational constant and d is the distance between the two objects solve the formula for m1

Answer 1

To solve the formula F = G(m₁ m₂/d²) for m₁, we need to isolate m1 by following a series of steps. The formula for m₁ is: m₁ = (F ˣ d₂) / (G ˣ m₂).

Step-by-step explanation:

The Newton's law of gravitation formula is F = G (m₁ m₂/d²), where F represents the force between two masses, m1 and m2 are the masses of the two objects, G is the gravitational constant, and d is the distance between the objects.

To solve the formula for m1, we need to isolate m1 on one side of the equation. Let's start:

• Multiply both sides of the equation by d² to eliminate the denominator: F ˣ d² = G(m₁ m₂)
• Divide both sides of the equation by m₂: (F ˣ d²) / m₂ = Gm₁
• Finally, divide both sides of the equation by G: [(F ˣ d²) / m₂] / G = m₁

Therefore, the formula for m₁ is: m1 = (F ˣ d²) / (G ˣ m₂).