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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, the average resistance offered by the wood to the blade is :

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a

Mg

b

c

d

answer is B.

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Detailed Solution

When the front end of the knife arrives at A, its kinetic energy . During the course of penetration net vertically downward force acting on the knife = (Mg - R).By work energy theorem

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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, the average resistance offered by the wood to the blade is :