run as fast as you can · Physics Brawl 2024 #4

Physics · mechanics

Problem

A pilot of a Mitsubishi A6M Zero fighter aircraft with a power of P=940hpP = 940\text{hp} was flying horizontally over an atoll belonging to the United States of America at speed v=180knv = 180\text{kn}. When the pilot spotted the runway with aircrafts attempting to take off, he pulled the triggers of both 7.7mm fixed-mounted Type 97 aircraft machine guns with a cadence of c=900min−1c = 900\text{min}^{-1} and a muzzle velocity of u=745m⋅s−1u = 745\text{m}\cdot\text{s}^{-1}. Each of the machine guns had one full belt of ammunition with 500 rounds. If the pilot flew exactly over the runway that was l=7800ftl = 7800\text{ft} long, how many rounds did he hit it with?

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