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32 Find an expression for the magnitude of Object 2, B2's velocity in terms of the angles given and the magnitude of Object 1, B1's initial velocity. Use this expression to find the magnitude of the velocity in meters per second for B2. What is the magnitude of the velocity of Object 1, B1, in meters per second after the collision?

32 Find an expression for the magnitude of Object 2, B2's velocity in terms of the angles given and the magnitude of Object 1, B1's initial velocity. Use this expression to find the magnitude of the velocity in meters per second for B2. What is the magnitude of the velocity of Object 1, B1, in meters per second after the collision?

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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**Educational Website Transcription:** **Title: Analysis of Inelastic Collision Between Two Objects** **Problem Statement:** Object 1 (denoted as B1), with a mass \( m = 0.5 \, \text{kg} \), is initially moving with a velocity \( v = 2.4 \, \text{m/s} \). It collides inelastically with object 2 (denoted as B2), which has the same mass as object 1 and is initially at rest. After the collision, object B1 is deflected by an angle \( \theta = 29^\circ \), and object B2 is deflected by an angle \( \Phi = 19.5^\circ \). **Diagram Explanation:** The provided diagram shows: - A depiction of the two objects, B1 and B2, positioned relative to each other. - B1 is shown moving initially along the horizontal axis and is later deflected upwards at an angle \( \theta \). - B2 is initially at rest and then moves off at an angle \( \Phi \). - Arrows indicate the direction of motion post-collision for both objects. **Tasks:** 1. **Expression for Object B2's Velocity:** - Determine an expression for the magnitude of object 2 (B2) in terms of the given angles and the initial velocity of object 1 (B1). 2. **Calculate the Velocity of B2:** - Use the derived expression to calculate the velocity of B2 in meters per second. 3. **Magnitude of Velocity of B1 After Collision:** - Calculate the magnitude of the velocity of object B1 in meters per second after the collision. This investigation will involve applying principles from the conservation of momentum and trigonometry to solve for the velocities of the objects after the collision.
Transcribed Image Text:**Educational Website Transcription:** **Title: Analysis of Inelastic Collision Between Two Objects** **Problem Statement:** Object 1 (denoted as B1), with a mass \( m = 0.5 \, \text{kg} \), is initially moving with a velocity \( v = 2.4 \, \text{m/s} \). It collides inelastically with object 2 (denoted as B2), which has the same mass as object 1 and is initially at rest. After the collision, object B1 is deflected by an angle \( \theta = 29^\circ \), and object B2 is deflected by an angle \( \Phi = 19.5^\circ \). **Diagram Explanation:** The provided diagram shows: - A depiction of the two objects, B1 and B2, positioned relative to each other. - B1 is shown moving initially along the horizontal axis and is later deflected upwards at an angle \( \theta \). - B2 is initially at rest and then moves off at an angle \( \Phi \). - Arrows indicate the direction of motion post-collision for both objects. **Tasks:** 1. **Expression for Object B2's Velocity:** - Determine an expression for the magnitude of object 2 (B2) in terms of the given angles and the initial velocity of object 1 (B1). 2. **Calculate the Velocity of B2:** - Use the derived expression to calculate the velocity of B2 in meters per second. 3. **Magnitude of Velocity of B1 After Collision:** - Calculate the magnitude of the velocity of object B1 in meters per second after the collision. This investigation will involve applying principles from the conservation of momentum and trigonometry to solve for the velocities of the objects after the collision.
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