[Level 2] In the movie Eraser, the bad guys had a gun that would shoot a 5 g alu

Question

[Level 2] In the movie Eraser, the bad guys had a gun that would shoot a 5 g aluminum slug at one quarter the speed of light. Let's assume that the slug is acted on" by a constant force over the length of the 1 m long barrel. Further assume that the person shooting the gun is capable of keeping the gun stationary as the slug is fired. what work is done by the gun on the slug? To put this number into perspective, calculate how high you would have to lift a 1500 kg car in a constant 1 g gravitational field in order to equal the work calculated in a.

Explanation / Answer

(a) work done = final kinetic energy = (1/2) m v2 = .         = (1/2) *0.005 * (0.25 * 3.00 x 108 )2=    1.406 x1013 Joules . (b)   work = mgh .      h = W / mg = 1.406 x 1013 / 1500 * 9.80 =    9.565 x108 meters

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