The body of mass 10kg moving with a velocity of 5 m/s hits a body of 1gm at rest. The velocity of the second body after collision, assuming it to be perfectly elastic is (in m/s)
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Velocity of the second body after collision = 10 m/s
- Mass of the first body = 10 kg
- Mass of the second body = 1 gm = 0.001 kg
- Initial velocity of the first body = 5 m/s
- Initial velocity of the second body = 0 m/s
- The collision is perfectly elastic
- Final velocity of the second body
Since this is a one dimensional elastic collision we use the formula,
where
- v₂ = final velocity of second body
- m₂ = mass of second body
- m₁ = mass of first body
- u₂ = initial velocity of second body
- u₁ = initial velocity of first body
Substituting the data we get,
Hence the velocity of the second body after collision is 10 m/s.
Remember :
To find the velocity of the first body after collision in an elastic one dimensional collision we use the formula,
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