Question

is a kwh a unit of power or a unit of work?
multiple choice
it is a unit of power since a watt is a power unit.
it is a unit of work since the time units cancel in $w = pt$.
it is neither since it has both watts and hours.

Explanation:

Power is the rate of doing work. The formula for work \(W\) is \(W = Pt\) (where \(P\) is power and \(t\) is time). A watt (\(W\)) is a unit of power. When we have \(kWh\) (kilo - watt - hour), we are multiplying power (\(kW\)) by time (\(h\)). According to the formula \(W=Pt\), the unit \(kWh\) represents work.

Answer:

It is a unit of work since the time units cancel in \(W = Pt\).