Moderate -0.3 This is a straightforward application of the impulse-momentum theorem (Impulse = change in momentum) with vector components. Students need to set up two equations from the i and j components and solve simultaneously. While it requires careful algebraic manipulation, it's a standard M2 exercise with no conceptual challenges beyond direct formula application.
A ball, of mass \(m\) kg, is moving with velocity \((5\mathbf{i} - 3\mathbf{j})\) ms\(^{-1}\) when it receives an impulse of \((-2\mathbf{i} - 4\mathbf{j})\) Ns. Immediately after the impulse is applied, the ball has velocity \((3\mathbf{i} + k\mathbf{j})\) ms\(^{-1}\).
Find the values of the constants \(k\) and \(m\). [6 marks]
A ball, of mass $m$ kg, is moving with velocity $(5\mathbf{i} - 3\mathbf{j})$ ms$^{-1}$ when it receives an impulse of $(-2\mathbf{i} - 4\mathbf{j})$ Ns. Immediately after the impulse is applied, the ball has velocity $(3\mathbf{i} + k\mathbf{j})$ ms$^{-1}$.
Find the values of the constants $k$ and $m$. [6 marks]
\hfill \mbox{\textit{Edexcel M2 Q1 [6]}}