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?

The speed of the arrow after passing through the target is 6.5 m/s

Explanation:

Given that,

Mass of target = 300 g

Speed of target = 2.40 m/s

Mass of arrow = 22.5 g

Speed of arrow = 38.5 m/s

After impact the momentum of the target is zero since its velocity is zero.

After impact the velocity of the arrow can be determined with conservation of momentum

We need to calculate the speed of the arrow after passing through the target

Using conservation of momentum

Put the value into the formula

Hence,The speed of the arrow after passing through the target is 6.5 m/s

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