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  • An object of mass m1 collides with another object of mass m2 , which is at rest. After the collision the object move with equal speeds in opposite direction. The ratio of the masses <img alt="m_2 :m_1" src="/latex-i

An object of mass m1 collides with another object of mass m2 , which is at rest. After the collision the object move with equal speeds in opposite direction. The ratio of the masses m_2 :m_1 is:
Option: 1 1:1
Option: 2 1:2
Option: 3 2:1
Option: 4 3:1

Answers (1)

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\begin{array}{l} 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}} \\\\ 3=\frac{ m _{2}}{ m _{1}} \end{array}

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Deependra Verma

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