FYKOS Year 30 Series 6 Problem 1 — heavy guns · FYKOS 30 #30.6.1

Physics · mechanics · electromagnetism

Problem

Two machine guns, that are able to shoot bullets of mass

m=25g

and speed

v_{1}=500\;\mathrm{m}\cdot \mathrm{s}^{−1}

with at 10 rounds per second, are attached to the front of a car. The car accelerates on a flat surface to a speed

v_{2}=80\;\mathrm{km}\cdot h^{−1}

and then starts firing. How many shots will be fired before the car stops? The car is neutral whilst shooting, the air and tyre resistance can be ignored. The heat losses in the machine guns are also negligible.

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