Answer:
20.3 kgm/s
Step-by-step 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.