What is the efficiency of a pulley if 5000 joules of energy results in 3000 joules of work? Please show your calculations.

Efficiency is defined as the ratio of useful output energy (work) to the input energy. Mathematically, it can be calculated using the formula:

Efficiency = (Useful output energy / Input energy) * 100%

In this case, the useful output energy (work) is given as 3000 joules, and the input energy is given as 5000 joules. Plugging these values into the formula, we get:

Efficiency = (3000 joules / 5000 joules) * 100%
= 0.6 * 100%
= 60%

Therefore, the efficiency of the pulley is 60%.