Afirecracker breaks up into several pieces, one of which has a mass of 200 g and flies off along
the x-axis with a speed of 82.0 m/s. a second piece has a mass of 300 g and flies off along the
y-axis with a speed of 45.0 m/s. what are the magnitude and direction of the total momentum
of these two pieces?
1) 361 kg m/s at 56.3 from the x-axis
2) 93.5 kg m/s at 28.8 from the x-axis
3) 21.2 kg m/s at 39.5 from the x-axis
4) 361 kg m/s at 0.983 from the x-axis
5) 21.2 kg m/s at 56.3 from the x-axis

Explanation:

It is given that,

Mass of first piece,

Speed of first piece,

Mass of second piece,

Speed of first piece,

The momentum along x axis is given by :

The momentum along y axis is given by :

Let p is the total momentum of these two pieces. Its magnitude is given by :

p = 21.24 kg-m/s

The direction of total momentum is given by :

So, the magnitude and direction of the total momentum  of these two pieces are 21.2 kg m/s at 39.5 from the x-axis. Hence, this is the required solution.

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