1.

The friction coefficient between the horizontal surface and each of the block shown in the figure is `0.2`. The collision between the blocks is perfectly elastic. Find the separation between them when they come to rest. (Take `g=10m//s^2`).

Answer» Correct Answer - 5
Velocity of first block before collision
`v_(1)^(2)=l^(2)-2(2)xx0.16=1-0.64, v_(1)=0.6m//s`
By conservation of momentum
`2xx0.6=2v_(1)+4v_(2)`
also `v_(2)-v_(1)` for elastic collision
It gives `v_(2)=0.4 m//s, v_(1)=-0.2 m//s`
Now distance moved after collision `S_(2)=((0.4))/(2xx2)`
and `S_(1)=((0.2)^(2))/(2xx2), s=s_(1)+s_(2)=0.05m = 5 cm`.


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