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Pile Driver - Force, Work and Distance

A pile driver drives a pile into the ground. This means that a mass of 1000kg is lifted through 5m and released to fall freely on the pile.

a) Determine the impulse produced by the pile-engine
b) If it is assumed that the impulse lasts for 1/100 s, find the force on the pile.
c) If 80% of the energy is effectively used in the process, calculate the distance through which the pile will proceed for each blow

Solution Preview

(1) For the mass, u = 0, s = 5 m, a = g = 9.8 m/s^2

v^2 = u^2 + 2as

v^2 = 0 + 2(9.8)(5) = 98

v = sqrt(98) = 7 sqrt(2) m/s

Final momentum of ...

Solution Summary

Step-by-step solutions for all the three questions provided.