An engine pumps up 100 kg of water through a height of 10 m in 5 s. Given that the efficiency

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An engine pumps up 100 kg of water through a height of 10...

An engine pumps up $100 \mathrm{~kg}$ of water through a height of $10 \mathrm{~m}$ in 5 s. Given that the efficiency of the engine is $60 \%$. If $g=10 \mathrm{~m} / \mathrm{s}^{2}$, the power of the engine is (a) $3.3 \mathrm{~kW}$ (b) $0.33 \mathrm{~kW}$ (c) $0.033 \mathrm{~kW}$ (d) $33 \mathrm{~kW}$

An engine pumps up $100 \mathrm{~kg}$ of water through a height of $10 \mathrm{~m}$ in 5 s. Given that the efficiency of the engine is $60 \%$. If $g=10 \mathrm{~m} / \mathrm{s}^{2}$, the power of the engine is
(a) $3.3 \mathrm{~kW}$
(b) $0.33 \mathrm{~kW}$
(c) $0.033 \mathrm{~kW}$
(d) $33 \mathrm{~kW}$

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Key Concepts

Gravitational Potential Energy

This is the energy an object has due to its position in a gravitational field. It is calculated by multiplying the object's mass, the gravitational acceleration, and the height through which it is raised. It represents the work required to elevate the object against the force of gravity.

Work

Work is defined as the process of energy transfer that occurs when a force is applied to an object over a distance. In mechanics, it is calculated by multiplying force by displacement, and it quantifies the amount of energy transferred to or from an object performing a task.

Power

Power is the rate at which work is done or energy is transferred over time. It measures how quickly energy conversion occurs and is expressed in watts, where one watt is equivalent to one joule per second.

Efficiency

Efficiency is a measure of how effectively energy is converted from one form to another. It is defined as the ratio of useful output energy to the total input energy, often expressed as a percentage, indicating how much of the energy input is successfully utilized for the intended purpose.

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