# ProblemDuring a particularly snowy winter in Charlotte, a child of mass \( m \) slides down a ramp starting at rest from point \( A \) and encounters the melted grassy area at \( B \) before coming to a full stop at \( C \). Assume the ice is frictionless. The height of point \( A \) is \( h_A \) and the distance between \( B \) and \( C \) is \( L \). What is the coefficient of friction of the grass, \( \mu_k \)? Assume that \( g = 9.81 \, \text{m/s}^2 \), \( h_A = 5 \, \text{m} \), \( m = 20 \, \text{kg} \), and \( L = 10 \, \text{m} \).## Diagram ExplanationThe diagram illustrates a scenario where:- Point \( A \) is the initial position of the child, located at a height \( h_A \) above the ground. This represents the top of the ice-covered ramp.- The blue curved path represents the frictionless ice ramp down to point \( B \).- From point \( B \) to point \( C \) is the flat grassy area marked in green. This section introduces friction.- The horizontal distance \( L \) between \( B \) and \( C \) is the length of the grassy area. The problem requires calculating the coefficient of kinetic friction \( \mu_k \) on the grass as the child comes to a stop at point \( C \).

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During a particularly snowy winter in Charlotte, a child of mass m slides down a ramp starting at rest from point A and encounters the melted grassy area at B before coming to a full stop at C. Assume the ice is frictionless. The height of point A is hA and the distance between B and C is L. What is the coefficient of friction of the grass, μ? Assume that g = 9.81 m/s², h₁ = 5 m, m = 20 kg, and L= 10 m.

During a particularly snowy winter in Charlotte, a child of mass m slides down a ramp starting at rest from point A and encounters the melted grassy area at B before coming to a full stop at C. Assume the ice is frictionless. The height of point A is hA and the distance between B and C is L. What is the coefficient of friction of the grass, μ? Assume that g = 9.81 m/s², h₁ = 5 m, m = 20 kg, and L= 10 m.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

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# Problem

During a particularly snowy winter in Charlotte, a child of mass \( m \) slides down a ramp starting at rest from point \( A \) and encounters the melted grassy area at \( B \) before coming to a full stop at \( C \). Assume the ice is frictionless. The height of point \( A \) is \( h_A \) and the distance between \( B \) and \( C \) is \( L \). What is the coefficient of friction of the grass, \( \mu_k \)? Assume that \( g = 9.81 \, \text{m/s}^2 \), \( h_A = 5 \, \text{m} \), \( m = 20 \, \text{kg} \), and \( L = 10 \, \text{m} \).

## Diagram Explanation

The diagram illustrates a scenario where:

- Point \( A \) is the initial position of the child, located at a height \( h_A \) above the ground. This represents the top of the ice-covered ramp.
- The blue curved path represents the frictionless ice ramp down to point \( B \).
- From point \( B \) to point \( C \) is the flat grassy area marked in green. This section introduces friction.
- The horizontal distance \( L \) between \( B \) and \( C \) is the length of the grassy area.

The problem requires calculating the coefficient of kinetic friction \( \mu_k \) on the grass as the child comes to a stop at point \( C \).

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