Question

A constant force acts on a body of mass m atrest. The velocity V acquired in, traversing aspecific distance depends on m as

• A. $v\alpha m$
• B. $v\alpha 1/m$
• C. $v\alpha \sqrt{m}$
• D. $v\alpha 1/\sqrt{m}$

Answer 1

The correct option is D $v\alpha 1/\sqrt{m}$

Suppose the constant force is F then

the acceleration $a=\frac{F}{m}$

Initially at rest so $u=0$

using third equation $v^2=v^2+2$ as

we get $V^2=2$ as

Where V is velocity acquired in traversing $\propto$ distance 's'

$\Rightarrow$ $v=\sqrt{2s}$

putting $a=\frac{F}{m}$

we get $v=\sqrt{\frac{2Fs}{m}}$

$\Rightarrow$$v\propto \frac{1}{\sqrt{m}}$

Pption -D is correct.