As shown in the figure, a metal ball with mass \( m_2 \) is initially at rest on a horizontal, frictionless table. A second metal ball with mass \( m_1 \), moving with a speed of 2.00 m/s, collides with \( m_2 \). Assume \( m_1 \) moves initially along the +x-axis. After the collision, \( m_1 \) moves with speed 1.00 m/s at an angle of \( \theta = 48.0^\circ \) to the positive x-axis. (Assume \( m_1 = 0.200 \, \text{kg} \) and \( m_2 = 0.300 \, \text{kg} \).)**Diagrams:**- **Before the collision:** - \( m_1 \) (blue ball) is moving towards \( m_2 \) (orange ball) along the positive x-axis with initial velocity \( \vec{v}_{1i} \).- **After the collision:** - \( m_1 \) moves at an angle \( \theta = 48.0^\circ \) with final velocity \( \vec{v}_{1f} \) and its components: \( v_{1f} \sin \theta \) (vertical) and \( v_{1f} \cos \theta \) (horizontal). - \( m_2 \) moves with final velocity \( \vec{v}_{2f} \) at an angle \( \phi \), having components: \( v_{2f} \sin \phi \) (vertical) and \( v_{2f} \cos \phi \) (horizontal).**Tasks:**(a) Determine the speed (in m/s) of the 0.300 kg ball after the collision.\[\boxed{\text{Input answer here}}\](b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision.\[\frac{|\Delta K|}{K_i} = \boxed{\text{Input answer here}}\]

The total linear momentum of the system is conserved in the collision. Thus Pi = Pf Where Pi = Total…

Answered: As shown in the figure, a metal ball…

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