### Physics Problem: Colliding Hockey Pucks#### Problem Statement:The University of [Hidden] Ice Hockey Club is working on a practice drill where two players try to precisely collide pucks from progressively larger distances. Two identical hockey pucks are moving along the ice in West Hartford’s Veterans Memorial Ice Rink and collide as shown after traveling with perpendicular directions and equal speeds of \(v_A = v_B = 4 \, \text{m/s}\). Assuming a coefficient of restitution \(e = 0.9\), determine the magnitude and direction of the velocity of each puck after impact.#### Diagram Explanation:The diagram shows two blue hockey pucks colliding. Key details are:- **Puck A**: Moving to the right with a velocity \(v_A = 4 \, \text{m/s}\).- **Puck B**: Moving downward with a velocity \(v_B = 4 \, \text{m/s}\).- The collision line makes an angle of \(15^\circ\) with the trajectory of puck A (the horizontal direction).#### Steps to Solve:1. **Identify the Directions**: - Before collision, puck A moves horizontally and puck B moves vertically. - The angle \(15^\circ\) is in reference to puck A's path and the direction of impact post-collision.2. **Calculate the Velocities Post-Collision**: - The conservation of momentum and the restitution coefficient will be used: - Separate the motion into components along and perpendicular to the line of impact. - Apply the conservation of momentum separately in both directions. - Use the coefficient of restitution for relative velocities post-collision.#### Key Formulas:1. **Momentum Conservation Equations**: \[ m_A \cdot v_{A_x} + m_B \cdot v_{B_x} = m_A \cdot v'_{A_x} + m_B \cdot v'_{B_x} \] \[ m_A \cdot v_{A_y} + m_B \cdot v_{B_y} = m_A \cdot v'_{A_y} + m_B \cdot v'_{B_y} \] 2. **Coefficient of Restitution**: \[ e = \frac{v'_{B_{impact}} - v'_{A_{impact}}}{v_{

Before impact: Write the velocity in direction of impact. vAn=4cos15°=3.86 m/svBn=-4sin15°=-1.035…

The University of Ice Hockey Club is working on a practice drill where two players try to precisely collide pucks from progressively larger distances. Two identical hockey pucks are moving along the ice in West Hartford's Veterans Memorial Ice Rink and collide as shown after traveling with perpendicular directions and equal speeds of VA = VB = 4 m/s. Assuming a coefficient of restitution e = 0.9, determine the magnitude and direction of the velocity of each puck after impact. 15° A VB

The University of Ice Hockey Club is working on a practice drill where two players try to precisely collide pucks from progressively larger distances. Two identical hockey pucks are moving along the ice in West Hartford's Veterans Memorial Ice Rink and collide as shown after traveling with perpendicular directions and equal speeds of VA = VB = 4 m/s. Assuming a coefficient of restitution e = 0.9, determine the magnitude and direction of the velocity of each puck after impact. 15° A VB

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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