Question

The force acting on the body depend upon mass of the body and acceleration of the body find express for the force using themethod of dimension

Answer 1

$\large{\underline{\boxed{ Answer}}}$

Welcome to the concept of principal of of dimensional Analysis.

$\boxed{\sf{ </strong><strong>F</strong><strong> </strong><strong>∝</strong><strong> </strong><strong>ma</strong><strong>}}$

Now, dimension formula of m is M

Dimension formula of a is $l {t}^{ - 1}$

when we combine these two we get dimension formula of force,

Dimension formula for F is $m.l {t}^{ - 1}$

$=</strong><strong>> ml {t}^{ - 1}$

hence, the dimension formula of F is $ml {t}^{ - 1}$