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kinetic energy and distance penetrated by the pile

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A pile is driven into the ground by a hammer of mass (M) 500Kg, dropped from a height of 4 meters. The mass (m) of the pile is 40Kg and the average resistance of the ground to penetration (Fr) is 45 kN.

1) Calculate the Velocity and the kinetic energy of the hammer prior to the impact with the pile.

2) Calculate the velocity and the kinetic energy of the hammer/pile combination immediately after impact.

3) Calculate the energy lost at impact.

4) Calculate the distance for which the pile penetrates the ground???

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Solution Summary

It finds the kinetic energy of the hammer and pile before and after the impact. It also shows how to find the distance for which the pile penetrates the ground. The solution is detailed and was rated '5/5' by the student who originally posted the questions.

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A pile is driven into the ground by a hammer of mass (M) 500Kg, dropped from a height of 4 meters. The mass (m) of the pile is 40Kg and the average resistance of the ground to penetration (Fr) is 45 kN.

4) Calculate the distance for which the pile penetrates the ground???
Suppose the final penetrated position ...

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