**Problem Description:**A 2.2 kg disk traveling at 2.9 m/s strikes a 1.3 kg stick of length 4.0 m that is lying flat on nearly frictionless ice as shown in the overhead view of the figure. The disk strikes the stick at a distance \( r = 0.90 \, \text{m} \) from the stick’s center. Assume the collision is elastic and the disk does not deviate from its original line of motion. Find the translational speed of the disk, the translational speed of the stick, and the angular speed of the stick after the collision. The moment of inertia of the stick about its center of mass is \( 1.73 \, \text{kg} \cdot \text{m}^2 \).**Diagram Explanation:***Before Collision (a):* - The diagram shows a disk moving towards a vertically oriented stick with an initial velocity vector \( \vec{v}_{di} \) indicated by a red arrow pointing right. The point of collision on the stick is represented by the distance \( r \).*After Collision (b):* - The disk is now moving with a new velocity vector \( \vec{v}_{df} \), indicated by another red arrow pointing in the same initial direction. - The stick has rotated and is depicted at an angle, with a resulting translational velocity \( \vec{v}_{s} \), shown by a red arrow pointing to the right and slightly upward. - An angular velocity \( \omega \) is represented by a curved arrow around the stick, showing its rotation post-collision. **Comparison of Values Before and After the Collision**| | v(m/s) | ω(rad/s) | p(kg·m/s) | L(kg·m²/s) | Kₜᵣₐₙₛ (J) | Kᵣₒₜ (J) ||----------------------|--------|----------|-----------|------------|------------|-----------|| **Before** | | | | | | || Disk | | - | | | - | || Stick | 0 | 0 | 0 | 0 | 0 | 0 || **Total for system** | - | - | | | - | 0 || | | | | | | || **After** | | | | | | || Disk | | | | | | 0 || Stick | | | | | | || **Total for system** | - | - | | | - | - |**Note:** Linear momentum, angular momentum, and total kinetic energy of the systems are all conserved.---**Explanation:**This table provides a comparison of various physical quantities before and after a collision involving a "disk" and a "stick". The table is organized into columns and rows representing the following quantities:- **v(m/s):** Linear velocity in meters per second.- **ω(rad/s):** Angular velocity in radians per second.- **p(kg·m/s):** Linear momentum in kilogram meters per second.- **L(kg·m²/s):** Angular momentum in kilogram meters squared per second.- **Kₜᵣₐₙₛ (J):** Translational kinetic energy in joules.- **Kᵣₒₜ (J):** Rotational kinetic energy in joules.The rows distinguish between the states "Before" and "After" the collision, for both the "Disk" and "Stick". The table also provides the "Total for system" for both states.According to the note, the system conserves linear momentum, angular momentum, and total kinetic energy throughout the collision

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A 2.2 kg disk traveling at 2.9 m/s strikes a 1.3 kg stick of length 4.0 m that is lying flat on nearly frictionless ice as shown in the overhead view of figure (a). disk strikes the stick at a distance r = 0.90 m from the stick's center. Assume the collision is elastic and the disk does not deviate from its original line of motion. Find the translational speed of the disk, the translational speed of the stick, and the angular speed of the stick after the collision. The moment of inertia of the stick about its center of mass is 1.73 kg · m². Overhead view of a disk striking a stick in an elastic collision. (a) Before the collision, the disk moves toward the stick. (b) The collision causes the stick rotate and move to the right. Before a After

A 2.2 kg disk traveling at 2.9 m/s strikes a 1.3 kg stick of length 4.0 m that is lying flat on nearly frictionless ice as shown in the overhead view of figure (a). disk strikes the stick at a distance r = 0.90 m from the stick's center. Assume the collision is elastic and the disk does not deviate from its original line of motion. Find the translational speed of the disk, the translational speed of the stick, and the angular speed of the stick after the collision. The moment of inertia of the stick about its center of mass is 1.73 kg · m². Overhead view of a disk striking a stick in an elastic collision. (a) Before the collision, the disk moves toward the stick. (b) The collision causes the stick rotate and move to the right. Before a After

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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