# 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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