Question

ALE
A bullet from a shotgun pierces a wooden plank thereby loosing 19% of its kinetic energy. The
momentum of the bullet reduces by
(1) 15%
A.​

Answer 1

Answer:

I can see several alternative interpretations of the premise of this question.

I can see several alternative interpretations of the premise of this question.It might mean that the exit velocity of the bullet from each plank is 19/20 of the impact velocity. That’s an unrealistic premise, but if we assume it to be true, then the velocity never reaches zero no matter how many planks the bullet passes through.

I can see several alternative interpretations of the premise of this question.It might mean that the exit velocity of the bullet from each plank is 19/20 of the impact velocity. That’s an unrealistic premise, but if we assume it to be true, then the velocity never reaches zero no matter how many planks the bullet passes through.It might mean that the bullet loses 1/20 of the muzzle velocity each time it passes through a plank. That premise is also unrealistic. If we adopt it anyway, then after passing through 20 planks the bullet will fall to earth. To stop it from falling to earth we need 21 planks close together with no space between them.

I can see several alternative interpretations of the premise of this question.It might mean that the exit velocity of the bullet from each plank is 19/20 of the impact velocity. That’s an unrealistic premise, but if we assume it to be true, then the velocity never reaches zero no matter how many planks the bullet passes through.It might mean that the bullet loses 1/20 of the muzzle velocity each time it passes through a plank. That premise is also unrealistic. If we adopt it anyway, then after passing through 20 planks the bullet will fall to earth. To stop it from falling to earth we need 21 planks close together with no space between them.Another interpretation, this one more realistic, is that we did an experiment with one plank and found that the bullet exited with 95 percent of its original velocity. We assume that it takes the same amount of energy to punch through each plank. Kinetic energy is proportional to the square of velocity, so passing through one plank with 0.95 times its original velocity means it now has 0.9025 times its original energy. That is, it loses 9.75 percent of its original energy passing through each plank. Ten planks would reduce its energy by 97.5 percent, not quite enough to stop it, so we need 11 planks.

Explanation:

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