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Use both cosine law/sine law and the component method to answer the following: A missile of...

Use both cosine law/sine law and the component method to answer the following:

A missile of mass 1000 kg is fired down a test range at 500 m/s. It explodes into five pieces. A 300 kg piece moves west at 300 m/s, a 50 kg piece moves east at 700 m/s, 100 kg piece moves northeast at 700 m/s and a 200 kg mass moves Southwest at 100 m/s. Calculate the velocity of the remaining piece after the explosion.

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