Answer:
75kg
Explanation:
Given:
Force of gravity(F) = 1.85 x 10⁻⁹N
distance between Tim and John = 18m
Mass of Tim = ?
Unknown:
Mass of John = ?
Solution
Newton's law of universal gravitation states that every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of the masses of the particles and inversely proportional to the square of the distance between them.
i.e
F =G[tex]\frac{m_{1} m_{2}}{r^{2} }[/tex]
let
m₁ represent mass of Tim
m₂ mass of John
G is the universal gravitation constant = 6.67 x 10⁻¹¹Nm²kg⁻²
r is the distance seperating them
The unknown is m₂ and we should make it the subject of the expression:
m₂ = F [tex]\frac{r^{2} }{m_{1} }[/tex] x [tex]\frac{1}{G}[/tex]
m₂ = [tex]\frac{1.85 x 10^{-9} x 18^{2} }{G x 120}[/tex]
m₂ = 75kg
