Answer : The units for momentum is, kg.m/s
Explanation : Given,
Dimension of Kinetic Energy (K) = [tex]kg.m^2/s^2[/tex]
Dimension of mass (m) = kg
The relation between kinetic energy and momentum will be:
[tex]K=\frac{p^2}{2m}\\\\p=\sqrt{2mK}[/tex]
Now put all the dimension in this expression, we get:
[tex]p=\sqrt{2mK}[/tex]
[tex]p=\sqrt{kg\times kg.m^2/s^2}[/tex]
[tex]p=\sqrt{kg^2m^2/s^2}[/tex]
[tex]p=kg.m/s[/tex]
The dimensional formula of Kinetic Energy = [tex]ML^2T^{-2}[/tex]
The dimensional formula of momentum = [tex]MLT^{-1}[/tex]
Thus, the units for momentum is, kg.m/s
