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Questions  

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:

a
Mg
b
Mg1+hS
c
Mg1−hS
d
Mg1+hS2

detailed solution

Correct option is B

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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Statement I : The familiar equation mg = R for a body on a table is true only if the body is in equilibrium.

Statement II : The equality of mg and R has no connection with the third law.


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