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An indestructible bullet 2.00 cm long is fired straight through a board that is 10.0 cm thick. The bullet strikes the board with a speed of 500 m/s and emerges with a speed of 290 m/s. (To simplify, assume that the bullet accelerates only while the front tip is in contact with the wood.)
(a) What is the average acceleration of the bullet through the board?
(b) What is the total time that the bullet is in contact with the board? (Enter the total time for the bullet to completely emerge from the board.)
(c) What thickness of board (calculated to 0.1 cm) would it take to stop the bullet, assuming that the acceleration through all boards is the same?
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Calculate for a rectangular surface with the vertices (b,a/sqrt(2),0), (0,a/sqrt(2),0), (0,0,a/sqrt(2)), and (b,0,a/sqrt(2)) the vectorial surface element dS (Hint: Find first a suitable parametrization of the surface).
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