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

25 m/s

Explanation:

According to the conservation of momentum, the resulting momentum in the vertical and horizontal directions must be zero.

At the north/south direction, conservation of momentum states:

At the East/west direction, conservation of momentum states:

The speed of the last piece is:

The speed of the last piece is 25 m/s.

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