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Explosions

Part of the Mechanics section of Coddy's Physics journey. Lesson 70 of 94.

In an explosion an object at rest breaks into pieces, and the total momentum stays zero:

p1 + p2 + p3 = 0

Two pieces: equal and opposite momenta, so the lighter piece is faster.

Three pieces: the x momenta add up to zero, and so do the y momenta.

Left: three momentum arrows from the burst point, 3 kilogram metres per second to the right, 4 up, and 5 down and to the left. Right: the same three arrows placed tip to tail form a closed triangle

The three momenta add up to zero: tip to tail, they end where they started.

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Challenge

A toy at rest on an air table snaps into three pieces. Piece A (0.5 kg) slides at 2 m/s, 30° above the x axis, piece B slides along the x axis, and piece C has a mass of 0.4 kg. Find the size vCy of piece C's y velocity.

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