An archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.40 m/s on a smooth, slippery surface. the 22.5-g arrow is shot with a speed of 38.5 m/s and passes through the target, which is stopped by the impact. what is the speed of the arrow after passing through the target?

Question

Kyson Houston

Physics

25 February, 17:45

An archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.40 m/s on a smooth, slippery surface. the 22.5-g arrow is shot with a speed of 38.5 m/s and passes through the target, which is stopped by the impact. what is the speed of the arrow after passing through the target?

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Jamison Rose · Answer 1

6.5 m/s

An object's momentum is its speed (m/s) multiplied by its mass (kg).

initial momentum of target = 0.3kg x 2.4m/s = 0.72

initial momentum of arrow = 0.0225kg x 38.5m/s = 0.86625

resulting momentum of arrow is 0.86625 - 0.72 = 0.14625

momentum / mass = speed

so 0.14625 / 0.0225 = 6.5 m/s