A) \[\sqrt{3}\,Mu\]
B) \[\frac{Mu}{\sqrt{2}}\]
C) \[\frac{Mu}{\sqrt{3}}\]
D) \[\sqrt{2}\,Mu\]
E) \[Mu\]
Correct Answer: D
Solution :
See the diagram The change in momentum \[\Delta P={{P}_{f}}-{{P}_{i}}=\]momentum at B - momentum at A \[=m\,({{u}_{j}}-{{u}_{i}})\] \[=M\,[(u\,\,\cos 45{}^\circ \hat{i}-u\sin 45{}^\circ \hat{j})\]\[-\,(u\,\cos 45{}^\circ \hat{i}+u\sin 45{}^\circ \hat{j})]\] \[=M\left[ \frac{u}{\sqrt{2}}\hat{i}-\frac{u}{\sqrt{2}}\hat{j} \right]-\left[ \frac{u}{2}\hat{i}+\frac{u}{\sqrt{2}}\hat{j} \right]\] \[=-\sqrt{2}Mu\,\hat{j}\] \[\therefore \] \[|\Delta P|=\sqrt{2}Mu\]You need to login to perform this action.
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