36) ---### Collision and Conservation of Momentum Problem**Problem Statement:**The driver of a large truck (1800 kg) is not paying attention and rear-ends the back of a smaller car (1100 kg) that is at rest at a stop light. Prior to the collision, the large truck is driving at 15 m/s. When they collide, the vehicles stick together and slide into the intersection (thankfully everyone is uninjured). **Question:**What is the speed of the vehicles after the collision? (Assume momentum is conserved.)---#### Explanation:To solve this problem, we will use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.#### Formula for Momentum:\[ \text{Momentum} = \text{mass} \times \text{velocity} \]#### Steps to Solution:1. **Calculate the initial momentum of the truck:** \[ \text{Initial momentum of truck} = m_{\text{truck}} \times v_{\text{truck}} \] Where: - \( m_{\text{truck}} = 1800 \ \text{kg} \) - \( v_{\text{truck}} = 15 \ \text{m/s} \) \[ \text{Initial momentum of truck} = 1800 \ \text{kg} \times 15 \ \text{m/s} = 27000 \ \text{kg} \cdot \text{m/s} \]2. **Calculate the initial momentum of the car:** \[ \text{Initial momentum of car} = m_{\text{car}} \times v_{\text{car}} \] Where: - \( m_{\text{car}} = 1100 \ \text{kg} \) - \( v_{\text{car}} = 0 \ \text{m/s} \) (car is at rest) \[ \text{Initial momentum of car} = 1100 \ \text{kg} \times 0 \ \text{m/s} = 0 \ \text{kg} \cdot \text{m/s} \]3. **Calculate the total initial momentum:** \[ \text{Total initial momentum} = \text{Initial

Answered: Image /qna-images/answer/fcc3204d-223f-48de-9251-d369c481b080.jpg

The driver of a large truck (1800 kg) is not paying attention and rear ends the back of a smaller car (1100 kg) that is at rest at a stop light. Prior to the collision, the large truck is driving at 15 m/s. When they collide, the vehicles stick together and slide into the intersection (thankfully everyone is uninjured). What is the speed of the vehicles after the collision? (momentum is conserved)|