A particle of mass moves in the -plane with velocity (in ).

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A particle of mass 2 kg2\,\text{kg} moves in the xyxy-plane with velocity v(t)=4t2 i^+3t j^\mathbf v(t)=4t^{2}\,\hat{\mathbf i}+3t\,\hat{\mathbf j} (in m s−1\text{m\,s}^{-1}). (i) Write the expression for its linear momentum as a function of time. (ii) Obtain the expression for the instantaneous force acting on the particle. (iii) Calculate the magnitude of this force at t=2.0 st=2.0\,\text{s}.

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