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Relative Motion in 1D

A hammer of m...

Question

A hammer of mass $2.5 k g$ moving with a speed of $1 m / s$ strikes ahead of a nail driving it $10 c m$ into the wall. Find the impulse applied by nail on the hammer

1.5 N

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2.5 N

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5 N

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3.5 N

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Solution

The correct option is B $2.5 N$
Taking the direction of motion of hammer to be positive
$I = Δ p = m (\to v - \to u) = 2.5 0 - (1) = - 2.5 N - s$ (Negative sign indicates that impulse is in opposite direction to its initial velocity.)

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