Question

by taking velocity, time and force as base quantities, obtain the dimensional formula of mass. ( when force, time and velocity are taken as base quantities, use the symbol F for force , T time , and V for velocity)

Answer 1

answers is time and velocity are taken as base quantities

Answer 2

The answer to the question is $=\ [F^{1} T^{1} V^{-1}]$

EXPLANATION:

The acceleration of a body is defined as the rate of change of velocity.

Mathematically it can be written as $a\ =\ \frac{v}{t}$

Here, v is the velocity and t is the time.

From Newton's second law of motion, we know that force applied on  a body is equal to the product of mass with acceleration.

Mathematically F = ma

                         ⇒$F=\ m\frac{v}{t}$

                        ⇒ $m=\frac{Ft}{v}$

We are asked to obtain the dimensional formula of mass in terms of force, time and velocity.

Hence, the dimensional formula of mass in terms of force,time and velocity is -

                         $[mass]=\frac{[F][T]}{[V]}$

                                 $=\ [F^{1} T^{1} V^{-1}]$            [ANS]