Question

A new system of units is proposed in which unit of mass is 'a' kg, unit of length is 'b' metre and that of time is 'c' secs. What will be the value of 5 joules in the new system?

Answer 1

$$\begin{gathered} 5\mathrm{joules}=5{\mathrm{abc}}^{-2} \\ \mathrm{The}\mathrm{unit}\mathrm{of}\mathrm{work}\mathrm{or}\mathrm{energy}\mathrm{is}\mathrm{joules}. \\ \mathrm{W}=\mathrm{mg}=\left[\mathrm{M}\right]\left[{\mathrm{LT}}^{-2}\right] \end{gathered}$$