The work done can be calculated using the equation:
Work = Force x Distance
First, let's calculate the work done by the person on the pulley:
The person pulls the rope by 3 meters, so the distance moved by the person is 3 meters. The force applied by the person is the tension in the rope, which is the same on both sides of the pulley. Let's assume the tension in the rope is T.
Work done by the person = T x 3
Next, let's calculate the work done by the pulley on the load:
The load is lifted by 1 meter, so the distance moved by the load is 1 meter. The force exerted by the pulley on the load is equal to the tension in the rope, as the tension in the rope is transmitted throughout the system. Let's assume the tension in the rope is T.
Work done by the pulley on the load = T x 1
Therefore, the total work done by the person on the pulley and by the pulley on the load is:
Total work = (T x 3) + (T x 1)
Total work = T(3 + 1)
Total work = T(4)
So, the total work done is 4 times the tension in the rope.
A person pulls the rope in pulley C by 3 meters and lifts the load by 1 meter. Using the equation for work, how much work is done by the person on the pulley and by the pulley on the load ?
1 answer