Question

What is the magnitude of the gravitational force exerted by a $15kg$ mass on a $25kg$ mass separated by a distance of $25cm$. What is the acceleration produced in each mass?

Answer 1

Let the masses of 2 bodies be m₁ and m₂ and let their accelerations be a₁ and a₂ respectively.

Distance between them d $=0.25m$

a₁ = $\frac{G{m}_1}{{0.25}^2}$ = $\frac{6.673\ast {10}^{-11}\ast 25}{{0.25}^2}$ = 2.67*${10}^{-8}$ $\frac{m}{s^2}$

a₂ = $\frac{G{m}_1}{{0.25}^2}$ =$\frac{6.673\ast {10}^{-11}\ast 15}{{0.25}^2}$= 1.6*${10}^{-8}$ $\frac{m}{s^2}$