An object with total mass mtotal = 14 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.6 kg moves up and to the left at an angle of ?1 = 20° above the -x axis with a speed of v1 = 28.4 m/s. A second piece with mass m2 = 5.3 kg moves down and to the right an angle of ?2 = 25° to the right of the -y axis at a speed of v2 = 20.5 m/s.
1: What is the x-component of the velocity of the third piece?
2: What is the y-component of the velocity of the third piece?
3: What is the magnitude of the velocity of the center of mass of the pieces after the collision?
4: Calculate the increase in kinetic energy of the pieces during the explosion.