**Problem Description:**A railroad cart with a mass of \( m_1 = 12.6 \, \text{t} \) is at rest at the top of an \( h = 10.3 \, \text{m} \) high hump yard hill.**Diagram Explanation:**The diagram shows two railroad carts:- **Cart 1 (\( m_1 \))**: Positioned at the top of the hill with height \( h \), indicating potential energy due to its elevated position.- **Cart 2 (\( m_2 \))**: Positioned at the bottom of the hill, initially at rest.A line descending from \( m_1 \) indicates the path it will travel down the hill. After cart 1 is pushed over the edge, it rolls down and collides with cart 2.**Problem Details:**- **Mass of Cart 2 (\( m_2 \))**: \( 18.6 \, \text{t} \)- The collision locks the two carts together.**Objective:**Determine the final common speed of the two locked carts after the collision. Assume no rolling friction losses for the carts.**Note**: The letter \( \text{t} \) stands for metric ton in the SI system.

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A railroad cart with a mass of m₁ = 12.6 t is at rest at the top of an h = 10.3 m high hump yard hill. m m₂ h After it is pushed very slowly over the edge, it starts to roll down. At the bottom it hits another cart originally at rest with a mass of m₂ = 18.6 t. The bumper mechanism locks the two carts together. What is the final common speed of the two carts? (Neglect losses due to rolling friction of the carts. The letter t stands for metric ton in the SI system.)

A railroad cart with a mass of m₁ = 12.6 t is at rest at the top of an h = 10.3 m high hump yard hill. m m₂ h After it is pushed very slowly over the edge, it starts to roll down. At the bottom it hits another cart originally at rest with a mass of m₂ = 18.6 t. The bumper mechanism locks the two carts together. What is the final common speed of the two carts? (Neglect losses due to rolling friction of the carts. The letter t stands for metric ton in the SI system.)

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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Question

**Problem Description:**

A railroad cart with a mass of \( m_1 = 12.6 \, \text{t} \) is at rest at the top of an \( h = 10.3 \, \text{m} \) high hump yard hill.

**Diagram Explanation:**

The diagram shows two railroad carts:

- **Cart 1 (\( m_1 \))**: Positioned at the top of the hill with height \( h \), indicating potential energy due to its elevated position.
- **Cart 2 (\( m_2 \))**: Positioned at the bottom of the hill, initially at rest.

A line descending from \( m_1 \) indicates the path it will travel down the hill. After cart 1 is pushed over the edge, it rolls down and collides with cart 2.

**Problem Details:**

- **Mass of Cart 2 (\( m_2 \))**: \( 18.6 \, \text{t} \)
- The collision locks the two carts together.

**Objective:**

Determine the final common speed of the two locked carts after the collision. Assume no rolling friction losses for the carts.

**Note**: The letter \( \text{t} \) stands for metric ton in the SI system.

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