AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A particle of mass \(4 M\) which is initially at rest explodes into three pieces of masses \(M\), \(M\) and \(2 M\). The equal masses move along \(X\) and \(Y\)-axes with velocities \(4 \mathrm{~ms}^{-1}\) and \(6 \mathrm{~ms}^{-1}\), respectively. The magnitude of the velocity of the heavier mass is
- A \(\sqrt{17} \mathrm{~ms}^{-1}\)
- B \(2 \sqrt{13} \mathrm{~ms}^{-1}\)
- C \(\sqrt{13} \mathrm{~ms}^{-1}\)
- D \(\frac{\sqrt{13}}{2} \mathrm{~ms}^{-1}\)
Answer & Solution
Correct Answer
(C) \(\sqrt{13} \mathrm{~ms}^{-1}\)
Step-by-step Solution
Detailed explanation
Initial mass of particle \(=4 M\) Initial velocity of particle \(=0\). After explosion into three pieces of masses \(M, M\) and \(2 M\) particle of equal masses move along \(X\) and \(Y\) axes with velocities \(4 \mathrm{~m} / \mathrm{s}\) and \(6 \mathrm{~m} / \mathrm{s}\),…
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