You are testing a 7 kg homemade firework for the 4th of July that is shot upward with an initial speed of 80 m/s. It explodes into three pieces after 2 seconds, with both gravity and wind acting upon it. The first piece has a mass of 2 kg and travels with a speed of 177 m/s at an angle of 45° above the leftward horizontal. The second piece has a mass of 4 kg and travels with a speed of 61 m/s at an angle 30° to the right of the upward vertical. The third piece has a mass of 1 kg and travels with a speed of 42 m/s straight down. What are the forces exerted on this firework due to gravity and the wind? (you must include a magnitude and a direction for each source in your final answer). You must show your work using the conservation of momentum framework.
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