A 59 g firecracker is at rest at the origin when it explodes into three pieces.

Question

A 59 g firecracker is at rest at the origin when it explodes into three pieces. The first, with mass 13 g , moves along the x axis at 36 m/s in the positive direction. The second, with mass 15 g , moves along the y axis at 27 m/s in the positive direction.

Part A

Find the x-component of the velocity of the third piece.

Express your answer using two significant figures.

ANSWER: vx = ? m/s

Part B

Find the y-component of the velocity of the third piece.

Express your answer using two significant figures.

ANSWER: vy = ? m/s

Explanation / Answer

m1 = 13 g, m2 = 15 g, m3 = 59 - 13 - 15 = 31 g

v1 = 36 m/s, v2 = 27 m/s

m1 v1x + m2 v2x + m3 v3x = 0

(13 * 36) + (0) + 31 v3x = 0

x-component of the velocity of the third piece v3x = -15.1 m/s

m1 v1y + m2 v2y + m3 v3y = 0

0 + (15 * 27) + 31 v3y = 0

y-component of the velocity of the third piece. v3y = -13.1 m/s

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