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An object with total mass mtotal = 16.2 kg is sitting at rest when it explodes...

An object with total mass mtotal = 16.2 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.7 kg moves up and to the left at an angle of θ1 = 23° above the –x axis with a speed of v1 = 25.3 m/s. A second piece with mass m2 = 5.1 kg moves down and to the right, an angle of θ2 = 28° to the right of the -y axis at a speed of v2 = 23.6 m/s.

1) What is the magnitude of the final momentum of the system (all three pieces)? kg-m/s

2) What is the mass of the third piece? kg

3) What is the x-component of the velocity of the third piece?

4) What is the y-component of the velocity of the third piece?

5) What is the magnitude of the velocity of the center of mass of the pieces after the collision? m/s

6) Calculate the increase in kinetic energy of the pieces during the explosion

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