Question

If the units of force energy and velocity are 10N,100J and 5ms^-1 respective, then obtain the unit of length ,mass and time .

Answer 1

The Dimensional formulae of

force = [ MLT^-2 ]

energy = [ML²T^-2]

velocity = [LT^-1]

Thus We have

[MLT^-2] = 10N.......(i)

[ML²T^-2] = 100J .....(ii)

[LT-1] = 5ms^-1 .......(iii)

and

Dividing equation (ii) by eq.(i) ,we have

[L] = 100J/10N = 100Nm/10N = 10m.

Substituting the unit of [L] in eq. (iii) , we have

[T^-1] = 5ms^-1/[L] = 5ms^-1/ 10m

[ T ] = 10m/5ms^-1 = 2s.

Substituting the units of [L] and [ T] in eq.( i) we have

[M] = 10N / [L] [T^-2] = 10N × 4s² / 10m = 4kg.

Answer 2

Answer:

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