Answer:
(A) Dimension of force [tex]MLT^{-2}[/tex]
(b) Dimension of energy [tex]ML^2T^{-2}[/tex]
(c) Dimension of power = [tex]ML^2T^{-3}[/tex]
Explanation:
We have to dimension
(a) Force
We know that force F = ma
Dimension of mass is M, and dimension of a is [tex]LT^{-2}[/tex]
So dimension of force [tex]MLT^{-2}[/tex]
(B) Energy
We know that energy = force × displacement
In previous part we can see dimension of force is [tex]MLT^{-2}[/tex]
and dimension of displacement = L
So dimension of energy [tex]ML^2T^{-2}[/tex]
(c) Power
We know that power [tex]p=\frac{energy}{time }[/tex]
In previous part we can see dimension of energy is [tex]ML^2T^{-2}[/tex]
And dimension of time is T
So dimension of power = [tex]ML^2T^{-3}[/tex]