Question

Find the unit of the following derived quantities:
(a) Force [Hint: Force = Mass $\times$ acceleration]
(b) Pressure $[Hint:Pressure=\frac{force}{Area}]$

• A. $kgm{s}^{-2}$ and $kg{m}^{-1}{s}^{-2}$
• B. $kgm{s}^{-1}$ and $Kg{m}^{-2}{s}^{-1}$
  
• C. $N$ and $Pa$
• D. None of these

Answer 1

Answer: (A), (C)

$kgm{s}^{-2}$ and $kg{m}^{-1}{s}^{-2}$
$N$ and $Pa$

Force $F=ma$

So, unit of force is $kgm/s^2$

Newton $\left(N\right)$ is also the unit of force.

Pressure $P=\frac{F}{A}$

Unit of pressure $=\frac{kgm/s^2}{m^2}=kg{m}^{-1}{s}^{-2}$

Also, pressure is measured in Pascal $\left(Pa\right)$.