An engine can pump 30,000 litres of water to a vertical height of 45 metres in 10 minutes. Calculate the work done by the machine and the power. (Density of water $=10^{3} \mathrm{~kg} / \mathrm{m}^{3}, 1000$ litre $=1 \mathrm{~m}^{3}, g=9.8 \mathrm{~m} \mathrm{~s}^{-2}$ ).

Explanation

First, we calculate the work done by the machine using the formula W = mgh, where m is the mass of water, g is the acceleration due to gravity, and h is the height to which the water is pumped. Then, we calculate the power using the formula P = W / t, where t is the time taken.

An engine can pump 30,000 litres of water to a vertical height of 45 metres in 10 minutes. Calculate the work done by the machine and the power. (Density of water $=10^{3} \mathrm{~kg} / \mathrm{m}^{3}, 1000$ litre $=1 \mathrm{~m}^{3}, g=9.8 \mathrm{~m} \mathrm{~s}^{-2}$ ).

Explanation

⬆ Related Topic

📘 Syllabus

📝 Practice Questions

🤖 Practice with AI

📚 Related Concepts