Work Energy And Power Question 70

Question: An open knife edge of mass ’m’ is dropped from a height ‘h’ on a wooden floor. If the blade penetrates upto the depth ’d’ into the wood, the average resistance offered by the wood to the knife edge is [BHU 2002]

Options:

A) mg

B) mg(1hd)

C) mg(1+hd)

D) mg(1+hd)2

Show Answer

Answer:

Correct Answer: C

Solution:

Let the blade stops at depth d into the wood. v2=u2+2aS
therefore 0=(2gh)2+2(ga)d by solving a=(1+hd)g So the resistance offered by the wood =mg(1+hd)



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