Consider the collision of two cars, A and B, that are each of mass m. At the moment of impact (point C), Car B is moving down with speed VB, whereas Car A is moving to the left with speed VA = 3VB. After colliding, the cars are stuck together and move with a combined velocity VAB in the direction 0. Part A: (Linear Momentum) . Determine the direction of motion after impact, 0. You should find that it is independent of m, VB - give your solution as a numerical answer, in radians or degrees. • Determine the combined speed after impact, UAB, in terms of one or more of the following variables: (m, VB, 0). Part B: (Work and Energy) The combined system (after impact) is moving at a speed VAB and experiences friction as it comes to rest. The friction coefficient between the rubber tires of the cars and the road is μk. • Determine the distance that the combined cars travel after the collision, d, in terms of one or more of the following variables: (m, VAB, k, 8). For Part B, use the symbol VAB without substituting your answer from Part A. Vehicles At Rest d B UAB UB Impact C Point VA

Consider the collision of two cars, A and B, that are each of mass m. At the moment of impact (point C), Car B is moving down with speed VB, whereas Car A is moving to the left with speed VA = 3VB. After colliding, the cars are stuck together and move with a combined velocity VAB in the direction 0. Part A: (Linear Momentum) . Determine the direction of motion after impact, 0. You should find that it is independent of m, VB - give your solution as a numerical answer, in radians or degrees. • Determine the combined speed after impact, UAB, in terms of one or more of the following variables: (m, VB, 0). Part B: (Work and Energy) The combined system (after impact) is moving at a speed VAB and experiences friction as it comes to rest. The friction coefficient between the rubber tires of the cars and the road is μk. • Determine the distance that the combined cars travel after the collision, d, in terms of one or more of the following variables: (m, VAB, k, 8). For Part B, use the symbol VAB without substituting your answer from Part A. Vehicles At Rest d B UAB UB Impact C Point VA

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

**5 Problem**

Consider the collision of two cars, A and B, that are each of mass *m*. At the moment of impact (point C), Car B is moving down with speed *vᵦ*, whereas Car A is moving to the left with speed *vₐ = 3vᵦ*. After colliding, the cars are stuck together and move with a combined velocity *vₐᵦ* in the direction θ.

**Part A: (Linear Momentum)**

- Determine the direction of motion after impact, θ. You should find that it is independent of *m, vᵦ* — give your solution as a numerical answer, in radians or degrees.

- Determine the combined speed after impact, *vₐᵦ*, in terms of one or more of the following variables: (*m, vᵦ, θ*).

**Part B: (Work and Energy)**

The combined system (after impact) is moving at a speed *vₐᵦ* and experiences friction as it comes to rest. The friction coefficient between the rubber tires of the cars and the road is μₖ.

- Determine the distance that the combined cars travel after the collision, *d*, in terms of one or more of the following variables: (*m, vₐᵦ, μₖ, g*). For Part B, use the symbol *vₐᵦ* without substituting your answer from Part A.

**Diagram Explanation:**

The diagram shows two cars, A and B, at the moment of impact at point C. Car B is depicted moving vertically downward with velocity *vᵦ*, and Car A is moving horizontally to the left with velocity *vₐ*. After collision, the two cars are represented as a single mass moving at velocity *vₐᵦ* in a direction making an angle θ with the horizontal. The distance *d* represents how far the cars travel after the collision and coming to rest.

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