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Question

A hammer of weight 2 kg, moving with velocity 8 m/s, strikes against the head of a spike, and drives it into a block of wood. If hammer comes to rest in 0.02 sec, the impule associated with the spike will be:

A
30 Ns
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B
16 Ns
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C
30 Ns
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D
16 Ns
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Solution

The correct option is D 16 Ns
Initial momentum of the hammer Pi=mu=2×8=16 kg m/s
Final momentum of the hammer Pf=0
Change in momentum of the hammer ΔP=PfPi
ΔP=016ΔP=16 kg m/s
Impulse acting on the hammer
Ihammer=ΔP=16 Ns
Impulse acting on the spike
Ispike=Ihammer=16 Ns

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