A sphere of mass m moving with velocity v collides head -on on another sphere of same mass which is at rest. The ratio of final velocity of second sph

Question

A sphere of mass m moving with velocity v collides head -on on another sphere of same mass which is at rest. The ratio of final velocity of second sph

A sphere of mass m moving with velocity v collides head -on on another sphere of same mass which is at rest. The ratio of final velocity of second sphere to the initial velocity of the first sphere is (where, e is coefficient of restitution and collision is inelastic)
A. `(e-1)/(2)`
B. `e/2`
C. `(e+1)/(2)`
D. e

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
Moment before Collision = moment after collision
`mV+ 0 =m V_(1) +m V_(2)`
`e = (v_(2)-v_(1))/(u_(1) -u_(2))therefore v_(1) =v-v_(2)`
`e =(v _(2)- v_(1))/(v )` substitute `v_(1)`
`e= (v_(2)- v - v_(1))/(v)`

4 views Answered 2023-02-05 15:29