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Calvin is up to no good. He drills a small hole into a large turnip and...

Calvin is up to no good. He drills a small hole into a large turnip and places a small fire cracker inside, ignites it and quickly hides behind a tree. When the fire cracker explodes, the turnip splits into three pieces. The first, mass 200 g, shoots straight north with a speed of 40 m/s. The second, mass 300 g shoots straight east with a speed of 20 m/s. The last piece has a mass of 400 g.

What are the speed of the last piece (in m/s)?

What is the direction of the last piece (expressed as an angle south of west, in degrees)?

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