$A$ lamp consumes $1000\, J$ of electrical energy in $10\, s$. What is its power (in $, W$)?

State whether the following statement is true or false:
The rate of doing work is called power.

Calculate the power of an engine required to lift $10^{5} \text{ kg}$ of coal per hour from a mine $360 \text{ m}$ deep. [Take $g = 10 \text{ m s}^{-2}$]

The power of a motor pump is $2 \, kW$. How much water per minute can the pump raise to a height of $10 \, m$ (in $kg$)? (Given $g = 10 \, m \, s^{-2}$)

Define power. $A$ boy of mass $45 \, kg$ climbs up $20$ steps in $20 \, s$. If each step is $25 \, cm$ high,calculate the power of the boy used in climbing. (Take $g = 10 \, m s^{-2}$)

$(a)$ Define one watt.
$(b)$ $A$ lamp consumes $1000 \ J$ of electrical energy in $10 \ s$. What is its power?