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A hammer of mass $2 k g$ strikes on the head of a nail with a velocity of $1 m s^{- 1}$ . It drives the nail $0.01 m$ into a wooden block. Find the force applied by the hammer and the time of impact

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$300 N; 10^{- 2} \sec$

$200 N; 10^{- 2} \sec$ .

$100 N; 2 \times 10^{- 2} \sec$

$400 N; 10^{- 3} \sec$

answer is B.

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Detailed Solution

$a = - \frac{u^{2}}{2 s} = - \frac{1}{2 \times 0.01} = - 50 m / s^{2}$

$F = m a = 2 \times (- 50) = - 100 N$

$v = u + a t$

$\Rightarrow 0 = 1 - 50 t \Rightarrow t = \frac{1}{50} = 0.02 s$

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