Please show me a detailed solution An archer shoots an arrow towards a target th

Question

Please show me a detailed solution

An archer shoots an arrow towards a target that is sliding towards her with a speed of 2.50 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 35.0m/s and passes through the 300-g target, which is stopped by the impact. What is the speed of the arrow after passing through the target? 3 80 kg vampire and 250 kg werewolf clash during the Feat of strength part of the annual celebration of Festivus. The werewolf velocity just before the clash is 20m/s and is directed downwards, while the vampire velocity at the moment of the collision is 50 m/s and is directed upwards. They clash in midair exactly 10 meters above the ground. Find how much time will they be airborne after the collision. / treat collision as inelastic/.

Explanation / Answer

2) Momentum transferred from the arrow to the target:

mv = (0.3 kg)(2.50 m/s) = 0.75 kg-m/s

This momentum loss slows the arrow by:

0.75 kg-m/s = mv = (0.0225)v

v = loss of velocity = 0.75/0.0225 = 33.33 m/s

Final velocity of arrow = 35 - 33.33 = 1.667 m/s

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