JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
An object of mass \(m _{1}\) collides with another object of mass \(m _{2}\), which is at rest. After the collision the objects move with equal speeds in opposite direction. The ratio of the masses \(m _{2}: m _{1}\) is
- A \(3:1\)
- B \(2:1\)
- C \(1:2\)
- D \(1:1\)
Answer & Solution
Correct Answer
(A) \(3:1\)
Step-by-step Solution
Detailed explanation
\(m _{1} v _{1}=- m _{1} v + m _{2} v\) \(v _{1}=- v +\frac{ m _{2}}{ m _{1}} v\) \(\frac{\left( v _{1}+ v \right)}{ v }=\frac{ m _{2}}{ m _{1}}\) \(e =\frac{2 v }{ v _{1}}=1\) \(v =\frac{ v _{1}}{2}\) \(\frac{ v _{1}+ v _{1} / 2}{ v _{1} / 2}=\frac{ m _{2}}{ m _{1}}\)…
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