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Instantaneous Force and Impulse

A ball of mas...

Question

A ball of mass $1 k g$ strikes a heavy platform, elastically, moving upwards with a velocity of $5 m / s$ .The speed of the ball just before the collision is $10 m / s$ downwards. Then the impulse imparted by the Platform on the ball is (e=1) :-

A

15 N - s

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B

10 N - s

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C

20 N - s

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D

30 N - s

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Solution

The correct option is D $30 N - s$
The speed of the ball in the reference frame of the plank is given as,

$v = 10 + 5$

$v = 15 m / s$

The change in momentum of the ball is the impulse and it is given as,

$m v = 15 + 15$

$= 30 N \cdot s$

Thus, the impulse is $30 N \cdot s$ .

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