Question

write down the dimensions of the force​

Answer 1

Answer:

The dimensional formula of force is given by,

M1 L1 T-2

Where,

M = Mass

L = Length

T = Time

Derivation

Force = Mass × Acceleration . . . . (1)

Since, acceleration = velocity × [time]–1 = [LT-1] × [T]-1

Therefore, the dimensional formula of acceleration = [LT-2] . . . . (2)

On substituting equation (2) in equation (1) we get,

Force = m × a

Or, F = [M] × [L1 T-2] = M1 L1 T-2.

Therefore, Force is dimensionally represented as M1 L1 T-2.

Answer 2

Answer:

$definition$

The unit of a physical quantity follows from the dimension expression. For example, since velocity has dimension [LT−1] and length is measured in m while time is measured in s, the unit for velocity becomes m/s. Similarly, force has dimension [MLT−2] and unit kg\, m/s2.

$formula$

Force = m × a. Or, F = [M] × [L1 T-2] = M1 L1 T-2. This is also called the dimensional equation of force or the force dimension formula. Therefore, the Force is represented dimensionally as M1 L1 T-2.

Hope it helps ❤️