Answer:
The force, exerted by Big Ben on the Empire State Building is 2.66972 × 10⁻⁷ N
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 \times \dfrac{M_{1} \times M_{2}}{r^{2}}](https://tex.z-dn.net/?f=F%3DG%20%5Ctimes%20%5Cdfrac%7BM_%7B1%7D%20%5Ctimes%20M_%7B2%7D%7D%7Br%5E%7B2%7D%7D)
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 \times 10^{-11} \times \dfrac{1 \times 10^8 \times 1 \times 10^9}{(5,000,000)^{2}} = 2.66972 \times 10^{-7}](https://tex.z-dn.net/?f=F%3D6.67430%20%5Ctimes%2010%5E%7B-11%7D%20%5Ctimes%20%5Cdfrac%7B1%20%5Ctimes%2010%5E8%20%5Ctimes%201%20%5Ctimes%2010%5E9%7D%7B%285%2C000%2C000%29%5E%7B2%7D%7D%20%3D%202.66972%20%5Ctimes%2010%5E%7B-7%7D)
The force, 'F', exerted by Big Ben on the Empire State Building is F = 2.66972 × 10⁻⁷ N.