The force exerted on the rope of the pulley system if the rope is pulled for 24 m in order to raise the mass to the required height is 81.6 N
Explanation:
Efficiency, γ = 64%
mass, m = 78 kg
height, h = 4 m
Force, F = ?
distance of the rope pulled, x = 24 m
We know,
Acceleration due to gravity, g = 9.81 m/s²
Potential energy, PE = mgh = (78) X (9.81) X (4) = 3060.72 joules
Work, W = F X x
F = W/d = (3060.72) / (24) = 127.53 N
However, the efficiency of the pulley system is 64%.
The real force required is F(net) = (127.53) X (0.64) = 81.6 N
Therefore, the force exerted on the rope of the pulley system if the rope is pulled for 24 m in order to raise the mass to the required height is 81.6 N
