stationary 6.0 kg object blows apart into 3 pieces. The 3 pieces move away from each other on a level plane. A 2.0 kg piece moves away at 3.0 m/s [30.0º W of N] and a 1.0 kg piece moves away at 5.0 m/s [25º N of W]. a) Draw a labelled vector diagram of the system after the explosion. Include all known angles, masses and speeds. b) Determine the velocity of the third piece. (3.5 m/s [44º S of E])

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Chapter9: Momentum And Its Conservation
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Hi, please show full solutions and also explain how you get the answers in physics terms so it's understandable. The correct final answers are written beside too. This is one whole question to be answered. I can't post it separately since it's related. Thank you.

12. A stationary 6.0 kg object blows apart into 3 pieces. The 3 pieces move away from each other on a level plane. A 2.0 kg piece moves away at 3.0 m/s [30.0º W of N] and a 1.0 kg piece moves away at 5.0 m/s [25º N of W].
a) Draw a labelled vector diagram of the system after the explosion. Include all known angles, masses and speeds.
b) Determine the velocity of the third piece. (3.5 m/s [44º S of E])

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