(Solved): A firework explodes into three pieces as shown in the diagram below. Now that you have set up the e ...

A firework explodes into three pieces as shown in the diagram below. Now that you have set up the equation for the \( x \) and \( y \) components of the final momentum of the firework, lel's do some phrysicst Given: - The initial firework had a mass of \( 9.0 \mathrm{~kg} \) and was launched at \( v_{1}=140 \mathrm{~m} / \mathrm{s} \) vertically straight up - The firework explodes into three pieces of equal mass \( 3.0 \mathrm{~kg} \). The angles \( \theta_{1}=\theta_{3}=40^{\circ} \). - Spoed \( t_{1}=100 \mathrm{~m} / \mathrm{s}_{1} \) What is the speed \( v_{2} \) ? Note: the angles shown for mass \( m_{1} \) and mass \( m_{3} \) are relative to the horizontal \( x \) axis. Mass \( m_{2} \) is moving straight up (y axis). Express your answer with the appropriate units.