A hammer of mass M falls from height h to drive a pile of mass m into the ground. The hammer makes the pile pentrate in the ground to a distance d, opposition force of penetration is given by -

Options

A. `(M^(2)gh)/(M+md)`
B. `(M^(2)gh)/((M+m)d)+(M+m)g`
C. `(M^(2)gh)/(M+md)`
D. `(m^(2)gh)/((m+M)d)-(M+m)g`

Explanation

[2]
`P_("i)=P_(f)rArr(M+m)v=Msqrt(2gh)`
W`=Deltak+DeltaU`
`rArr f.d=(1)/(2)(M+m){(M^(2)(2gh))/((M+m)^(2))}+(M+m)gd`