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Q.

An open knife edge of mass M is dropped from a height 'h' on a wooden floor. If the blade penetrates a distance 'S' into the wood, average resistance offered by the wood to the blade is:

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a

Mg

b

Mg1+hS

c

Mg1−hS

d

Mg1+hS2

answer is B.

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Detailed Solution

Net acceleration in wood a=−g−FMBy third equation of motion v2 = u2 + 2as we have02=(2gh)2−2−g+FMS⇒F=Mg1+hS
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