Estimate the acceleration that a paratrooper gains m = 84 when fired from a rifle m = 6kg

Estimate the acceleration that a paratrooper gains m = 84 when fired from a rifle m = 6kg, bullet m = 9g and departure with an acceleration of 10 ^ 6 m / s ^ 2.

Task data: m1 (paratrooper weight) = 84 kg; m2 (rifle weight) = 6 kg; m3 (bullet mass) = 9 g (in SI m3 = 9 * 10 ^ -3 kg); ap (bullet acceleration when fired) = 10 ^ 6 m / s2.

The acceleration that the paratrooper must acquire is determined using the equality: F1 = F2 and (m1 + m2) * ad = m3 * ap, whence ad = m3 * ap / (m1 + m2).

Let’s perform the calculation: ad = 9 * 10 ^ -3 * 10 ^ 6 / (84 + 6) = 100 m / s2.

Answer: When fired, the paratrooper will acquire an acceleration of 100 m / s2.