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The engine of a train passes an electric...

The engine of a train passes an electric pole with a velocity 'u' and the last compartment of the train crosses the same pole with a velocity v. Then find the velocity with which the mid-point of the train passes the pole. Assume acceleration to be uniform.

Text Solution

Verified by Experts

`v^(2) = u^2 + 2aL`
`rArr 2aL = v^(2) - u^(2)`
also `v_m^(2) = u^(2) + 2a(L)/(2)= u^(2)+(1)/(2) (v^(2) - u^(2))`
`= (2u^(2) + v^(2) -u^(2))/(2) = (u^(2) + v^(2))/(2) , v_m = sqrt((u^(2) +v^(2))/(2))`
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