Question

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7. The velocity of a body of mass 2Kg as a function of time is given by
v(t)=2t^​3i+t²j.Find the momentum and force acting on it at tim t=2s

Answer 1

Dear Student,


$$\begin{gathered} m=2kg, \\ v=2t^3\hat{i}+t^2\hat{j} \\ p=2\left(2t^3\hat{i}+t^2\hat{j}\right)=4t^3\hat{i}+2t^2\hat{j} \\ momentumatt=2sec \\ p=32\hat{i}+8\hat{j} \\ accn \\ a=6t^2\hat{i}+2t\hat{j} \\ F=12t^2\hat{i}+4t\hat{j} \\ forceatt=2sec \\ f=48\hat{i}+8\hat{j} \\ Regards \end{gathered}$$