Question

You are raising up a big bucket of water from a 25.9 m deep well. The combined mass of the water and the bucket is 13.9 kg. The bucket is attached to a heavy duty steel chain. The mass of the chain is 19.3 kg.

How much work do you perform during the lifting process?
If it takes 1.75 minutes for you to raise the bucket of water out of the well, then what was your average power?

Answer 1

To calculate the work done during the lifting process, use the formula PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. The average power can be found by dividing the work done by the time taken.

Step-by-step explanation:

To calculate the work done during the lifting process, we need to find the change in gravitational potential energy. The formula for gravitational potential energy is PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s^2), and h is the height. In this case, the height is 25.9 m and the mass is the combined mass of the water and bucket (13.9 kg + 19.3 kg). Plugging in these values, we get: PE = (13.9 kg + 19.3 kg) * 9.8 m/s^2 * 25.9 m.

To find the average power, we divide the work done by the time taken. The formula for power is P = W / t, where P is the power, W is the work done, and t is the time. In this case, the work done is the gravitational potential energy calculated above and the time taken is 1.75 minutes (converted to seconds). Plugging in these values, we get: P = (13.9 kg + 19.3 kg) * 9.8 m/s^2 * 25.9 m / (1.75 minutes * 60 seconds/minute).