COMEDK · Physics · 7. Center of Mass Momentum and Collision
A body of mass \(1000 \mathrm{~kg}\) is moving horizontally with a velocity \(50 \mathrm{~m} / \mathrm{s}\). A mass of \(250 \mathrm{~kg}\) is added. Find the final velocity.
- A \(40 \mathrm{~m} / \mathrm{s}\)
- B \(20 \mathrm{~m} / \mathrm{s}\)
- C \(30 \sqrt{2} \mathrm{~m} / \mathrm{s}\)
- D \(50 \mathrm{~m} / \mathrm{s}\)
Answer & Solution
Correct Answer
(A) \(40 \mathrm{~m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
Mass of the body, \(m=1000 \mathrm{~kg}\) \[ v=50 \mathrm{~m} / \mathrm{s} \] After adding \(250 \mathrm{~kg}\), new mass of the body, \[ \begin{aligned} m^{\prime} &=m+250 \\ &=1000+250 \\ &=1250 \mathrm{~kg} \end{aligned} \] If \(v^{\prime}\) be the final velocity of the body,…
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