Question

$\left(\frac{A^2}{\text{ Mass }}\right)$ has the dimensions of kinetic energy. Then $A$ has the dimensions of

• A. pressure
• B. torque
• C. moment of inertia
• D. impulse

Answer 1

Answer: (D)

$\frac{A^2}{\mathrm{Mass}(m)}=KE=\frac{1}{2}m{v}^2$
or $A^2=\frac{1}{2}{m}^2{v}^2$
$\therefore A$ has the dimensions of $mv=\left[ML{T}^{-1}\right]$ which are the dimensions of impulse $(F\times t)$.