SOLUTION: A bullet of mass 180g is fired horizontally into a fixed wooden block with a speed of 24m/s. If the bullet is brought to rest in 0.4 seconds by a constant resistance, calculate the

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Question 1203825: A bullet of mass 180g is fired horizontally into a fixed wooden block with a speed of 24m/s. If the bullet is brought to rest in 0.4 seconds by a constant resistance, calculate the distance moved by the bullet in the wood.
Answer by ikleyn(53956) About Me  (Show Source):
You can put this solution on YOUR website!
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A bullet of mass 180g is fired horizontally into a fixed wooden block with a speed of 24m/s.
If the bullet is brought to rest in 0.4 seconds by a constant resistance,
calculate the distance moved by the bullet in the wood.
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We have uniformly decelerated movement with the initial speed of 24 m/s
and the final speed of 0 m/s after 0.4 seconds


So, we can calculate the deceleration value "a": it is  a = 24%2F0.4 = 60 m/s^2.


Now we can calculate the distance to stop

    D%5Bstop%5D = %28at%5E2%29%2F2 = %2860%2A0.4%5E2%29%2F2 = 4.8 meters.    ANSWER

Solved, with full explanations.

The mass of the bullet of 180 g, given in the post, is irrelevant to the problem.