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
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a
mg
b
mg1−hd
c
mg1+hd
d
mg1+hd2
answer is C.
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Detailed Solution
Let the blade stops at depth d into the wood.v2=u2+2aS⇒0=(2gh)2+2(g−a)dby solving a=1+hdgSo the resistance offered by the wood =mg1+hd