Question

The SI unit of work is Joule. It is expressed in the terms of mass, length and time as

• A. $kg{m}^2{s}^{-3}$
• B. $kg{m}^3{s}^{-2}$
• C. $k{g}^2{m}^2{s}^{-2}$
• D. $kg{m}^2{s}^{-2}$

Answer 1

The correct option is C

$k{g}^2{m}^2{s}^{-2}$

Correct Answer

$\left(c\right)kg{m}^2{s}^{-2}$

Explanation

$$\begin{gathered} Work=Force\times Displacement \\ 1Joule=1Newton\times 1m \\ =1kg\times m\times s^{-2}\times 1m(1N=1kg\times m\times s^{-2}) \\ 1J=1kg\times m^2\times s^{-2} \end{gathered}$$

Hence the correct answer is option (c) $kg{m}^2{s}^{-2}$.