JEE Main 2025 — Laws Of Motion Question with Solution

To find the force acting on the object, we use the formula $F=m\times a$, where $F$ is the force, $m$ is the mass, and $a$ is the acceleration.

The velocity $v$ is given as $v=4\sqrt{x}$.

Squaring both sides, we have $v^2=16x$.

Differentiate $v^2$ with respect to $x$:

$2v\frac{dv}{dx}=16$

Solving for $\frac{dv}{dx}$, we find:

$\frac{vdv}{dx}=\frac{16}{2}=8$

The force $F$ is then calculated as:

$F=0.5\times 8=4\text{N}$

Thus, the force acting on the object is 4 N.