At any instant the velocity of a particle of mass 500 g is (2 t i +3 t^2 j ) ms^-1. If the force acting on the particle at t=1 s is ( i +x j ) N.…

At any instant the velocity of a particle of mass $\displaystyle 500$ g is $\displaystyle \left(2 t \hat{i}+3 t^2 \hat{j}\right) \mathrm{ms}^{-1}$. If the force acting on the particle at $\displaystyle t=1 \mathrm{~s}$ is $\displaystyle (\hat{i}+x \hat{j}) \mathrm{N}$. Then the value of $\displaystyle x$ will be: