Answer Happy

An object with total mass mtotal = 16.2 kg issitting at rest when it explodes into three pieces. One piece withmass m1 = 4.6 kg moves up and to the left at anangle of θ1 = 22° above the –x axis with a speed ofv1 = 25.1 m/s. A second piece with massm2 = 5.1 kg moves down and to the right an angle ofθ2 = 27° to the right of the -y axis at a speed ofv2 = 23.4 m/s.
1) What is the magnitude of the final momentumof 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 ofthe third piece?
m/s
4) What is the y-component of the velocity ofthe third piece?
m/s
5) What is the magnitude of the velocity of thecenter of mass of the pieces after the collision?
m/s
6) Calculate the increase in kinetic energy ofthe pieces during the explosion.
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