Question

A constant force (F) is applied on a stationary particle of mass m. The velocity attained by the particle in a certain interval of time will be proportional to

• A. $m$
• B. $\frac{1}{m}$
• C. $\sqrt{m}$
• D. $\frac{1}{\sqrt{m}}$

Answer 1

The correct option is B $\frac{1}{m}$

A force $F$ is applied on the stationary particle, initially at $rest$

Net force on particle at any time $=F$

The acceleration of the particle will be given by:

$ma$ = $F$$\Rightarrow a=\frac{F}{m}$ (a constant)

From the equation of motions:

$v$ = $u$ + $at$

$v$ = $0$ +$\frac{Ft}{m}$

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

Hence, proportional to $\frac{1}{m}$