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A 1 kg block is given a velocity of 15 m...

A 1 kg block is given a velocity of 15 m/s towards right over a very long rough plank of mass 2 kg as shown in figure.

If coefficient of friction between the two blocks is equal to 0.4, then magnitude of initial slope of `P_(1)` versus and `P_(2)` versus t (in SI unit) will be

A

B

C

D

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The correct Answer is:
D
As no external force acts on the two blocks friction acts like an internal force and thw two blocks will move with common velocity.
By applying conservatin of momentum
`(1 kg) (15 m//s) = 1v = 2v rArr v = 5 m//s`
`P_(1) = 5 N-s , P_(2) = 10N-s`
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