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An indestructible bullet 2.00 cm long is fired straight through aboard that is 1

ID: 1735625 • Letter: A

Question

An indestructible bullet 2.00 cm long is fired straight through aboard that is 10.0 cm thick. The bullet strikes the board with aspeed of 460 m/s and emerges with a speedof 265 m/s. (To simplify, assume that thebullet accelerates only while the front tip is in contact with thewood.) (a) What is the average acceleration of thebullet through the board?
1 m/s2

(b) What is the total time that the bullet is in contact with theboard?
s

(c) What thickness of board (calculated to 0.1 cm) would it take tostop the bullet, assuming that the acceleration through all boardsis the same?
3 cm (a) What is the average acceleration of thebullet through the board?
1 m/s2

(b) What is the total time that the bullet is in contact with theboard?
s

(c) What thickness of board (calculated to 0.1 cm) would it take tostop the bullet, assuming that the acceleration through all boardsis the same?
3 cm

Explanation / Answer

a. v2 = v02 +2*a*x    =>    a =(v2- v02)/(2*x) =(2652 - 4602)/(2*.1m) = -70.688km/s2 b. v = v0 + a*t => t = (v -v0)/a = (265 - 460)/(-70,688 m/s2 )= .275ms c. v2 = v02 +2*a*x   => x = (v2 -v02)/(2*a) = (0 - 4602) /(2*-70,688) = 14.967 cm ˜ 15cm

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