A bullet flying at a speed of 400 m / sec., Hits the shaft and travels to a stop of 0.5 m. Determine the resistance force

A bullet flying at a speed of 400 m / sec., Hits the shaft and travels to a stop of 0.5 m. Determine the resistance force of the shaft to the movement of the bullet, if its mass is 24 g.

Task data: V0 (initial bullet speed) = 400 m / s; S (path traveled by the bullet to the stop) = 0.5 m; m (bullet mass) = 24 g (in SI m = 0.024 kg).

The force of resistance of the shaft to the movement of the considered bullet is determined by the formula: F = A / S = ΔEk / S = (Ek0 – Ek1 / S) = (m * V0 ^ 2/2 – m * V1 ^ 62/2) / S.

Let’s perform the calculation: F = (0.024 * 400 ^ 2/2 – 0.024 * 0 ^ 2/2) / 0.5 = 3840 N.

Answer: The shaft resistance force was 3840 N.