Momentum of Explosions: Solving for Direction and Mass

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    Grade 12 Momentum
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The discussion focuses on a bomb explosion resulting in three pieces, with two pieces moving at specified speeds and angles. To solve for the direction and mass of the third piece, participants are encouraged to apply conservation of momentum principles. The relevant equations for momentum in both horizontal and vertical directions are emphasized as crucial for finding the solution. The community highlights the importance of clearly presenting attempts and calculations to facilitate understanding. Ultimately, the goal is to determine both the direction and mass of the third piece based on the given data.
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A bomb initially at rest on a smooth, horizontal surface is ex*ploded into three
pieces. Two pieces fly off horizontally at a 60°angle to each other, a 2.0 kg piece at
20 m/s and a 3.0 kg piece at 12 m/s. The third piece flies off horizontally at 30 m/s.

(a) Determine the direction of motion of the third piece.

(b) What is its mass?
 
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I think you missed the part where you're supposed to list what relevant equations you know, and you present your attempts at a solution.
 
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