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A bullet has a mass of 0.2 kg thrown by a rifle with a barrel length...

A bullet has a mass of 0.2 kg thrown by a rifle with a barrel length of 0.8 m.
The force exercised in the bullet from the gases of the gun is
F (x) = 100 + 100x - 200x ^ 2
Show that the work produced by gases in bullet, as it travels along the barrel, is equal to 3.0 kJ.
Consider as a benchmark the position where the bullet starts to move, and that the travel of the barrel is straight.

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