Final answer:
The potential energy of the crate held 75 m high by a rope and pulley is 54,825 J. The maximum work that can be done by the crate/pulley system when the crate is released to drop is also 54,825 J.
Step-by-step explanation:
The potential energy of the crate held 75 m high by a rope and pulley can be calculated using the formula: potential energy = mass * gravitational acceleration * height. Given that the mass of the crate is 75 kg, the gravitational acceleration is approximately 9.8 m/s^2, and the height is 75 m, we can plug these values into the formula to find the potential energy.
Potential energy = 75 kg * 9.8 m/s^2 * 75 m = 54,825 J
The maximum work that can be done by the crate/pulley system when the crate is released to drop is equal to the initial potential energy of the crate. Therefore, the maximum work that can be done is 54,825 J.