**Scenario: Collision of Two Toy Cars**Two toy cars have a collision and bounce off each other. The first car has a mass of 0.5 kg and was initially traveling at 3.5 m/s. The second car has a mass of 0.8 kg and had an initial velocity of -2.0 m/s. After colliding, the first car recoils with a velocity of \( v_{f1} = -1.19 \) m/s. What is the velocity of the second car after the collision?**Illustrations and Explanation:**1. **Initial State:** - Car 1: Mass = 0.5 kg, Velocity = 3.5 m/s → (towards the right). - Car 2: Mass = 0.8 kg, Velocity = -2.0 m/s ← (towards the left). Visualization shows two cars on a track, with arrow indicators showing the direction and magnitude of their velocities.2. **After Collision:** - Car 1: Mass = 0.5 kg, Velocity after collision = -1.19 m/s ← (reversing direction). - Car 2: Mass = 0.8 kg, Velocity after collision = \( v_{f2} \) (unknown). The diagram presents the two cars with updated velocities, illustrating how the first car changes direction after the collision.**Analysis:**Using the principle of conservation of momentum:\[ m_1 \cdot v_{i1} + m_2 \cdot v_{i2} = m_1 \cdot v_{f1} + m_2 \cdot v_{f2} \]Where:- \( m_1 = 0.5 \) kg, \( v_{i1} = 3.5 \) m/s- \( m_2 = 0.8 \) kg, \( v_{i2} = -2.0 \) m/s- \( v_{f1} = -1.19 \) m/s- Solve for \( v_{f2} \).**Conclusion:**The scenario represents a classic physics problem involving elastic collisions, demonstrating the conservation of momentum and the change in motion based on mass and velocity.

Given Mass of the first toy car = m1 = 0.5 kg Mass of the second toy car = m2 = 0.8 kg Initial…

Two toy cars have a collision and bounce off each other. The first has a mass of 0.5 kg and was initially traveling at 3.5 m/s. The second has a mass of 0.8 kg and had an initial velocity of -2.0 m/s. After colliding the first recoils with a velocity of v1f =-1.19 m/s. After colliding, what is the velocity of the second car? 3.5 m/s 20 m/s m-0.5kg m0.8 kg m0.Skg m 0.8 kg Vy? m-0.Skg m=0.8 kg

Two toy cars have a collision and bounce off each other. The first has a mass of 0.5 kg and was initially traveling at 3.5 m/s. The second has a mass of 0.8 kg and had an initial velocity of -2.0 m/s. After colliding the first recoils with a velocity of v1f =-1.19 m/s. After colliding, what is the velocity of the second car? 3.5 m/s 20 m/s m-0.5kg m0.8 kg m0.Skg m 0.8 kg Vy? m-0.Skg m=0.8 kg

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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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