Question

Big Ben, a large artifact in England, has a mass of 1x10^8 kilograms and the Empire State Building 1x10^9 kilograms. The distance between them is about 5,000,000 meters. What is the force exerted by Big Ben on the Empire State Building?

Answer 1

The force, exerted by Big Ben on the Empire State Building is 2.66972 × 10⁻⁷ N

Step-by-step explanation:

The question relates to the force of gravity experienced between two bodies

The given parameters are;

The mass of Big Ben, M₁ = 1 × 10⁸ kg

The mass of the Empire State Building, M₂ = 1 × 10⁹ kg

The distance between the two Big Ben and the Empire State Building, r = 5,000,000 meters

By Newton's Law of gravitation, we have;

`F=G * (M_(1) * M_(2))/(r^(2))`

Where;

F = The force exerted by Big Ben on the Empire State Building and vice versa

G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²

M₁, M₂, and r are the given parameters

By plugging in the values of the parameters and the constant into the equation for Newton's Law of gravitation, we have;

`F=6.67430 * 10^(-11) * (1 * 10^8 * 1 * 10^9)/((5,000,000)^(2)) = 2.66972 * 10^(-7)`

The force, 'F', exerted by Big Ben on the Empire State Building is F = 2.66972 × 10⁻⁷ N.