F₁ = effort applied = 30 N
F₂ = load applied = ?
r₁ = distance of effort force from the fulcrum = ?
r₂ = distance of load force from the fulcrum = 2 m
L = length of the lever = 5 m
from the diagram , we see that
L = r₁ + r₂
inserting the values
5 m = r₁ + 2 m
r₁ = 5 m - 2 m
r₁ = 3 m
using equilibrium of torque about the fulcrum from the diagram
F₁ r₁ = F₂ r₂
inserting the values
(30) (3) = F₂ (2)
F₂ = 90/2
F₂ = 45 N
hence the correct choice is 45 N
