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.
1. How much work do you perform during the lifting process?
2. 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

1. The amount of work done during the lifting process is 8426.824 J

2. The average power used in the process is 80.26 Watts

1. How to determine the workdone

• Combine mass (m) = 13.9 + 19.3 = 33. 2 Kg
• Acceleration due to gravity (g) = 9.8 m/s²
• Height (h) = 25.9 m
• Work done (Wd) =?

Wd = mgh

Wd = 33. 2 × 9.8 × 25.9

Wd = 8426.824 J

2. How to determine the power

• Work done (Wd) = 8426.824 J
• Time (t) = 1.75 mins = 1.75 × 60 = 105 s
• Power (P) =?

P = Wd / t

P = 8426.824 / 105

P = 80.26 Watts

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