DO NOT COPY AND PASTE ANSWER ### Example Physics Exercise: Momentum and Kinetic Energy in Collisions**Exercise:****(a)** Let’s call the initial and final state immediately before and after the collision, respectively. Write down the initial momentum and kinetic energy of the system in terms of \( m \) and \( h \).**(b)** Show that, after the collision, the left and center bobs rise to height \( h \) while the right bob becomes stationary. In particular, show that the center bob acts as if it were swinging freely as a lone pendulum.---In this problem, we will explore the principles of momentum and kinetic energy during a collision, particularly focusing on a system of pendulum bobs. For part (a), you are asked to express the initial momentum and kinetic energy in mathematical terms using the given variables \( m \) (mass) and \( h \) (height). In part (b), you’ll demonstrate the behavior of the bobs post-collision.- For **momentum**, consider both the velocity of the bobs and their masses.- For **kinetic energy**, focus on the energy conservation laws and the bobs' positions.**Guidance:**1. **Initial Momentum and Kinetic Energy:** - **Momentum (\( p \))** before the collision: \( p_{\text{initial}} = m \cdot v_{\text{initial}} \) Here, \( v_{\text{initial}} \) can be linked to \( h \) via gravitational potential energy. - **Kinetic Energy (\( K.E. \))** before the collision: \( K.E._{\text{initial}} = \frac{1}{2} m v_{\text{initial}}^2 \) Using height \( h \) and the potential energy \( mgh \).2. **Behavior of Bobs Post-Collision:** - Use energy conservation principles, where the potential energy converted to kinetic energy, and vice versa. - Apply the concept of a **lone pendulum** swing to the center bob to rationalize its motion, considering the system’s constraints.3. **Diagrams and Graphs:** - **Pendulum System:** A side view showing the initial and final positions of the bobs. - **Graphs**: Potential vs. Kinetic Energy changes over time, and position vs. time for each bob if ### Problem Statement**3. This problem refers to the figure below:**![Figure](#)*Explanation of the figure:*The figure shows two diagrams. - The left diagram depicts three identical bobs of mass \(m\) hanging side-by-side from a common horizontal support.- The right diagram shows the three bobs, where two bobs on the right have been lifted to a height \(h\) and are then released, whereas the bob on the left remains in its initial position.### DescriptionThere are 3 identical bobs of mass \(m\) hanging side-by-side. Two are then lifted to a height of \(h\) and released. The collisions in this problem are elastic. **Answer the following questions:**1. What is the speed of the bobs just before the collision?2. What is the speed of the bobs just after the collision?3. How high will the bobs rebound after the collision?To answer these questions, you may need to apply concepts such as conservation of energy and conservation of momentum, especially considering the conditions of elastic collisions.

Solution:- a). Using Conservation of energy.…

(a) Let's call the initial and final state immediately before and after the collision, respectively. Write down the initial momentum and kinetic energy of the system in terms of m and h. (b) Show that, after the collision, the left and center bobs rise to height h while the right bob becomes stationary. In particular, show that the center bob acts as if it were swinging freely as a lone pendulum.

(a) Let's call the initial and final state immediately before and after the collision, respectively. Write down the initial momentum and kinetic energy of the system in terms of m and h. (b) Show that, after the collision, the left and center bobs rise to height h while the right bob becomes stationary. In particular, show that the center bob acts as if it were swinging freely as a lone pendulum.