A person holding a rifle (mass$$ of person and rifle together is $$100$$ $$kg) stands on a smooth surface and fires $$10$$ shots horizontally, in $$5$$ s. Each bullet has a mass of $$10$$ g with a muzzle velocity of $$800$$ $$ms-1$$. The final velocity acquired by the person and the average force exerted on the person are

Question

A person holding a rifle (mass$$ of person and rifle together is $$100$$ $$kg) stands on a smooth surface and fires $$10$$ shots horizontally, in $$5$$ s. Each bullet has a mass of $$10$$ g with a muzzle velocity of $$800$$ $$ms-1$$. The final velocity acquired by the person and the average force exerted on the person are

Infinity Learn · Accepted Answer

$$0=nmu$$ $$+$$ $$(M-nm)v$$ ⇒$$0=10$$×$$101000$$×$$800$$ $$+$$ $$(100-10$$×$$101000)v$$ ⇒$$v=-8099.9=-0.8$$ $$m/s$$ Average force exerted $$=$$ $$10$$×$$0.01$$×$$8005=16N$$

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A person holding a rifle (mass of person and rifle together is 100 kg) stands on a smooth surface and fires 10 shots horizontally, in 5 s. Each bullet has a mass of 10 g with a muzzle velocity of 800 ms-1. The final velocity acquired by the person and the average force exerted on the person are

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