Question

The velocity of a particle of mass 2 kg is given by $\overline{v}=at\hat{i}+b{t}^2\hat{j}$ . Find the force acting on the particle.

Answer 1

From second law of motion :
$\frac{d\overline{P}}{dt}\frac{d}{dt}\left(m\overline{v}\right)$
$=2\frac{d}{dt}(at\hat{i}+b{t}^2\hat{j})\Rightarrow \overline{F}=2a\hat{i}+4bt\hat{j}$