A firecracker breaks up into several pieces, one of which has a mass of 204 g and flies off along the x-axis with a speed of 82 m/s. A second piece has a mass of 239 g and flies off along the y-axis with a speed of 48 m/s. What is the magnitude of the total momentum of these two pieces

20.3 kgm/s

Explanation:

Given that a firecracker breaks up into several pieces, one of which has a mass of 204 g and flies off along the x-axis with a speed of 82 m/s. A second piece has a mass of 239 g and flies off along the y-axis with a speed of 48 m/s.

X - component

Momentum = 204/1000 × 82

Momentum = 16.728 kgm/s

Y - component

Momentum = 239/1000 × 48

Momentum = 11.472 kgm/s

The resultant momentum can be calculated by using pythagorean theorem

Resultant momentum = sqrt ( 16.7^2 + 11.47^2)

Resultant momentum = sqrt ( 411.4)

Resultant momentum = 20.28 kgm/s

Therefore, the magnitude of the total momentum of these two pieces is 20.3 kgm/s approximately.

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