**Problem 5: Elastic Collision of Two Carts**A 0.115-kg cart is moving to the right on a frictionless, horizontal track with a speed of 1.80 m/s. It has a head-on collision with a 0.325-kg cart that is moving to the left with a speed of 2.25 m/s. Find the final velocity (magnitude and direction) of each cart if the collision is elastic.**Analysis and Approach:**- **Given Data:** - Mass of cart 1 (m₁) = 0.115 kg - Initial velocity of cart 1 (v₁ᵢ) = 1.80 m/s (right) - Mass of cart 2 (m₂) = 0.325 kg - Initial velocity of cart 2 (v₂ᵢ) = 2.25 m/s (left)- **Objective:** - Determine the final velocities (v₁_f and v₂_f) and directions of both carts after an elastic collision.- **Principles:** - Use the laws of conservation of momentum and kinetic energy for elastic collisions: - Total Momentum Before = Total Momentum After - Total Kinetic Energy Before = Total Kinetic Energy AfterThese equations will allow you to solve for the final velocities of the carts.

Name: **Problem 5: Elastic Collision of Two Carts**A 0.115-kg cart is movin
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Description: **Problem 5: Elastic Collision of Two Carts**A 0.115-kg cart is moving to the right on a frictionless, horizontal track with a speed of 1.80 m/s. It has a head-on collision with a 0.325-kg cart that is moving to the left with a speed of 2.25 m/s. Fi

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A 0.115-kg cart is moving to the right on a frictionless, horizontal track with a speed of 1.80 m/s. It has a head-on collision with a 0.325-kg cart that is moving to the left with a speed of 2.25 m/s. Find the final velocity (magnitude and direction) of each cart if the collision is elastic.

A 0.115-kg cart is moving to the right on a frictionless, horizontal track with a speed of 1.80 m/s. It has a head-on collision with a 0.325-kg cart that is moving to the left with a speed of 2.25 m/s. Find the final velocity (magnitude and direction) of each cart if the collision is elastic.

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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