Question

Express the dimensions of (a) force, (b) pressure, (c) energy, and (d) power in terms of primary dimensions.

Answer 1

(A) Dimension of force
`MLT^(-2)`

(b) Dimension of energy
`ML^2T^(-2)`

(c) Dimension of power =
`ML^2T^(-3)`

Step-by-step explanation:

We have to dimension

(a) Force

We know that force F = ma

Dimension of mass is M, and dimension of a is
`LT^(-2)`

So dimension of force
`MLT^(-2)`

(B) Energy

We know that energy = force × displacement

In previous part we can see dimension of force is
`MLT^(-2)`

and dimension of displacement = L

So dimension of energy
`ML^2T^(-2)`

(c) Power

We know that power
`p=(energy)/(time )`

In previous part we can see dimension of energy is
`ML^2T^(-2)`

And dimension of time is T

So dimension of power =
`ML^2T^(-3)`