Problem #3: A firework with total mass 5.0 kg is lit and eventually explodes into three main pieces. Two of the pieces were caught on film and later had their masses measured. The first piece with m1 = 2.0 kg travels to the left at an angle of 30° above the -x axis with a speed of 15.0 m/s. The second piece with m2 = 2.0 kg travels downward at an angle of 20° from the -y axis at a speed of 25 m/s. a. With what speed and in which direction did the third piece travel away from the explosion? b. If the firework was placed on a table of height 1.5m above the ground when it exploded, how far from the base of the table did the piece land on the ground?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem #3: A firework with total mass 5.0 kg is lit and eventually explodes into three main pieces. Two of the pieces were caught on film and
later had their masses measured. The first piece with m1 = 2.0 kg travels to the left at an angle of 30° above the -x axis with a speed of 15.0
m/s. The second piece with m2 = 2.0 kg travels downward at an angle of 20° from the -y axis at a speed of 25 m/s.
a. With what speed and in which direction did the third piece travel away from the explosion?
b. If the firework was placed on a table of height 1.5m above the ground when it exploded, how far from the base of the table did the piece
land on the ground?
Transcribed Image Text:Problem #3: A firework with total mass 5.0 kg is lit and eventually explodes into three main pieces. Two of the pieces were caught on film and later had their masses measured. The first piece with m1 = 2.0 kg travels to the left at an angle of 30° above the -x axis with a speed of 15.0 m/s. The second piece with m2 = 2.0 kg travels downward at an angle of 20° from the -y axis at a speed of 25 m/s. a. With what speed and in which direction did the third piece travel away from the explosion? b. If the firework was placed on a table of height 1.5m above the ground when it exploded, how far from the base of the table did the piece land on the ground?
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