Question

A shot traveling at a the rate of 100m/s can pierce a 4cm plank calculate the velocity required to pierce a 9cm plank

Answer 1

The energy required to pierce a 4 cm plank is (1/2) * m * v^2 = (1/2) * m * (100 m/s)^2 = (5000 m^2/s^2) 8 m. The amount of energy required to pierce a 9 cm plank will be 9/4 as much, or 11250 * m. 11,250 * m = (1/2) * m * v^2, or v = sqareroot(22,500) = 150 m/s.

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