Strike it hard

A hammer of mass \(M\) falls from a height \(l\) to strike a pile of mass \(m\) into ground. Pile penetrates a distance \(d\) in a single blow. Find the resistance to penetration given by ground in \(Newtons\)

Details and Assumptions

  • Assume collision to be inelastic.
  • Assume both the masses to be point masses.
  • \(M=0.5 \text{kg} , \space m=5\text{kg} , \space l=22\text{cm}, \space d = 5\text{cm} , \space g=\SI[per-mode=symbol]{10}{\meter\per\second\squared}.\)

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