Из ствола автоматического пистолета вылетела пуля

From automatic pistol barrel bullet flew mass m1 = 10 g with a velocity v = 300 m / s. Shutter gun m2 = mass of 200 g is pressed against the trunk of a spring stiffness that k = 25 kN / m. How far will depart the gate after a shot? Assume that the gun is rigidly fixed.

Task 10007. Detailed solution with a short recording conditions, laws and formulas used in the decision, the withdrawal of the calculation formula and the answer.