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An open water tight railway wagon of mas...

An open water tight railway wagon of mass `5xx10^(3)` kg coasts at initial velocity of `1.2 m//s` without friction on a railway track. Rain falls vertically downwards into the wagon. What change then occurred in the kinetic energy of the wagon, when it has collected `10^(3)` kg of water

A

`1200J`

B

`300 J`

C

`600 J`

D

`900 J`

Text Solution

Verified by Experts

The correct Answer is:
C
Conserving the linear momentum of (water + wagon) system
`5 xx 10^3 xx 1.2 xx 0 = 6 xx 10^3 v implies v = 1 m//s ` Final `KE = 1/2 xx 6 xx 10^3 xx 1^2 = 3 xx 10^3 J`
Initial `KE = 1/2 xx 5 xx 10^2 xx (1.2)^2 , " " = 3600 J " "` change in `KE = 600 J`.
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