**Problem 12**A 5 kg ball moving to the right at a speed of 6 m/s strikes another 4 kg ball moving to the left at 5 m/s. What is the velocity of each ball after the elastic collision?*Solution:*To solve this problem, we can use the conservation of momentum and the conservation of kinetic energy, which apply to elastic collisions.1. **Conservation of Momentum:** \[ m_1 \cdot v_{1i} + m_2 \cdot v_{2i} = m_1 \cdot v_{1f} + m_2 \cdot v_{2f} \] Where: - \( m_1 = 5 \, \text{kg} \) - \( v_{1i} = 6 \, \text{m/s} \) - \( m_2 = 4 \, \text{kg} \) - \( v_{2i} = -5 \, \text{m/s} \) (negative because it's moving to the left) - \( v_{1f} \) and \( v_{2f} \) are the final velocities of balls 1 and 2, respectively.2. **Conservation of Kinetic Energy:** \[ \frac{1}{2} m_1 v_{1i}^2 + \frac{1}{2} m_2 v_{2i}^2 = \frac{1}{2} m_1 v_{1f}^2 + \frac{1}{2} m_2 v_{2f}^2 \]By solving the system of equations derived from these two principles, you can find the final velocities \( v_{1f} \) and \( v_{2f} \).

An elastic collision is a collision in which the kinetic energy and linear momentum of the colliding…

Answered: 12) A 5 kg ball moving to the right at…

College Physics

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ISBN:9781305952300

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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12) A 5 kg ball moving to the right at a speed of 6 m/s strikes another 4 kg ball moving to the left at 5 m/s. What is the velocity of each ball after the elastic collision?