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• Part A First, find the magnitude of , that is, the speed v of the two-car unit after the collision. Express v in terms of mi. ma, and the cars' initial speeds and v. > View Avalable Hint(s) Submit Part B Find the tangent of the angle e. Express your answer in terms of the magnitudes of the initial momenta of the two cars, p and pa, or the quantities given in the problem introduetion. > View Avalable Hint(s) undo do reset keyboard shortcuts help AVA tan Submit • Part C Suppose that ater the colision, tan e-1; in other words, O is 45 degrees. Which quanties then must have been equal before the colision? The magnitudes of the momenta of the cars The masses of the cars The speeds of the cars Submit Requst Anse Provide Feedback

• Part A First, find the magnitude of , that is, the speed v of the two-car unit after the collision. Express v in terms of mi. ma, and the cars' initial speeds and v. > View Avalable Hint(s) Submit Part B Find the tangent of the angle e. Express your answer in terms of the magnitudes of the initial momenta of the two cars, p and pa, or the quantities given in the problem introduetion. > View Avalable Hint(s) undo do reset keyboard shortcuts help AVA tan Submit • Part C Suppose that ater the colision, tan e-1; in other words, O is 45 degrees. Which quanties then must have been equal before the colision? The magnitudes of the momenta of the cars The masses of the cars The speeds of the cars Submit Requst Anse Provide Feedback

College Physics
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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In this problem, we will consider the collision of two cars initially moving at right angles. We assume that after the collision the cars stick together and travel off as a single unit. The collision is therefore completely inelastic. The two cars shown in the figure, of masses \(m_1\) and \(m_2\), collide at an intersection. Before the collision, car 1 was traveling eastward at a speed of \(v_1\), and car 2 was traveling northward at a speed of \(v_2\). (Figure 1) After the collision, the two cars stick together and travel off in the direction shown. **Part A** First, find the magnitude of \(\vec{v_f}\), that is, the speed of the two-car unit after the collision. - Express \(\vec{v_f}\) in terms of \(m_1\), \(m_2\), and the cars’ initial speeds \(v_1\) and \(v_2\). Choose the correct expression from the following options: 1. \((m_1v_1 + m_2v_2) / (m_1 + m_2)\) 2. \((m_1 + m_2) / (m_1v_1 + m_2v_2)\) 3. \((m_1v_2) + (m_2v_1) / (m_1 + m_2)\) 4. \(\sqrt{v_1^2 + v_2^2}\) **Part B** Find the tangent of the angle \(\theta\). - Express your answer in terms of the magnitudes of the initial momenta of the two cars, \(p_1\) and \(p_2\), or the quantities given in the problem introduction. Input tan(\(\theta\)) in the box provided. **Part C** Suppose that after the collision, \(\tan \theta = 1\); in other words, \(\theta\) is 45 degrees. Which quantities then must have been equal before the collision? - Choose one from the options: 1. The magnitudes of the momenta of the cars 2. The masses of the cars 3. The speeds of the cars **Diagram Explanation** The figure below depicts two cars: - Car 1 is yellow, traveling eastward with velocity
Transcribed Image Text:In this problem, we will consider the collision of two cars initially moving at right angles. We assume that after the collision the cars stick together and travel off as a single unit. The collision is therefore completely inelastic. The two cars shown in the figure, of masses \(m_1\) and \(m_2\), collide at an intersection. Before the collision, car 1 was traveling eastward at a speed of \(v_1\), and car 2 was traveling northward at a speed of \(v_2\). (Figure 1) After the collision, the two cars stick together and travel off in the direction shown. **Part A** First, find the magnitude of \(\vec{v_f}\), that is, the speed of the two-car unit after the collision. - Express \(\vec{v_f}\) in terms of \(m_1\), \(m_2\), and the cars’ initial speeds \(v_1\) and \(v_2\). Choose the correct expression from the following options: 1. \((m_1v_1 + m_2v_2) / (m_1 + m_2)\) 2. \((m_1 + m_2) / (m_1v_1 + m_2v_2)\) 3. \((m_1v_2) + (m_2v_1) / (m_1 + m_2)\) 4. \(\sqrt{v_1^2 + v_2^2}\) **Part B** Find the tangent of the angle \(\theta\). - Express your answer in terms of the magnitudes of the initial momenta of the two cars, \(p_1\) and \(p_2\), or the quantities given in the problem introduction. Input tan(\(\theta\)) in the box provided. **Part C** Suppose that after the collision, \(\tan \theta = 1\); in other words, \(\theta\) is 45 degrees. Which quantities then must have been equal before the collision? - Choose one from the options: 1. The magnitudes of the momenta of the cars 2. The masses of the cars 3. The speeds of the cars **Diagram Explanation** The figure below depicts two cars: - Car 1 is yellow, traveling eastward with velocity
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