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Questions  

A hammer of mass M strikes a nail of mass m with velocity of u m/s and drives it a metre into fixed block of wood. The average resistance of wood to the penetration of nail is

a
Mm+mu22a
b
M2(m+M)2u22a
c
M2(m+M)u22a
d
M+mmu22a

detailed solution

Correct option is C

Applying the conservation of momentummu=(M+m)v0∴v0=MM+muThe acceleration A can be obtained using the formulav2=u2+2asHere A is negative, y =0, u = v0 and s = a∴02=v02−2Aa  or  A=v02/2a or A=Mm+M2u22aResistance =(M+m)A=M2(M+m)×u22a.

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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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