Answer:
The conservation of linear momentum states that the total momentum of an isolated system of objects remains constant if no external forces act on it. Mathematically, this is expressed as:
\[ \text{Total momentum before collision} = \text{Total momentum after collision} \]
The momentum (\(p\)) of an object is given by the product of its mass (\(m\)) and velocity (\(v\)): \( p = m \cdot v \).
In this scenario, since the masses of the balls are the same, you only need to show that the total velocity before the collision is equal to the total velocity after the collision.
If you have the velocities (\(v_1\) and \(v_2\)) of the two balls before the collision, and (\(v_1'\) and \(v_2'\)) after the collision, you can express the conservation of linear momentum as:
\[ m_1 \cdot v_1 + m_2 \cdot v_2 = m_1 \cdot v_1' + m_2 \cdot v_2' \]
Substitute the given masses and velocities to confirm that the total momentum is conserved.
