Question

how to derive the dimensional formula for force?

Answer 1

Dimension of force is given by Dimension of Force = [M 1]× [M 0L1T −2] = [M 1L1T −2] Dimension of Force = [ M 1] × [ M 0 L 1 T − 2] = [ M 1 L 1 T − 2] Now we know both the displacement and Force dimension, we can calculate the dimension of Work easily as

Answer 2

Answer:

Force = mass x acceleration.

Dimension of mass = [M]

Dimension of acceleration = [LT-²]

Dimension of force = [M] × [LT-²].

=[ MLT-²].