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A mass of 0.21 kg is initially at rest on a hor- izontal surface. A force, given by F⃗ = Fx ˆı, acts on the mass. The horizontal component Fx is plotted below as a function of position along the x-axes. The coefficient of kinetic friction is 0.044. The acceleration of gravity is 9.8 m/s2 . Calculate the kinetic energy K of the mass as it reaches 5 m. Answer in units of J.

A mass of 0.21 kg is initially at rest on a hor- izontal surface. A force, given by F⃗ = Fx ˆı, acts on the mass. The horizontal component Fx is plotted below as a function of position along the x-axes. The coefficient of kinetic friction is 0.044. The acceleration of gravity is 9.8 m/s2 . Calculate the kinetic energy K of the mass as it reaches 5 m. Answer in units of J.

College Physics
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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A mass of 0.21 kg is initially at rest on a hor- izontal surface. A force, given by F⃗ = Fx ˆı, acts on the mass. The horizontal component Fx is plotted below as a function of position along the x-axes. The coefficient of kinetic friction is 0.044.

The acceleration of gravity is 9.8 m/s2 .

Calculate the kinetic energy K of the mass as it reaches 5 m.

Answer in units of J.

This graph presents a stepwise depiction of force as a function of position. The x-axis represents the position in meters (m), ranging from 0 to 10, while the y-axis indicates the force in newtons (N), ranging from -2 to 5. Key Features of the Graph: - **Data Points and Steps**: The force values change in discrete steps at particular positions, shown by horizontal and vertical lines connecting data points. - **Force Intervals**: - From 0 to 1 m, the force is 3 N. - From 1 to 2 m, the force rises to 4 N. - From 2 to 4 m, the force decreases to 2 N. - From 4 to 6 m, the force is 1 N. - At 6 m, the force increases to 4 N, then drops to -1 N between 7 and 8 m. - From 8 to 10 m, the force returns to 5 N. - **Gridlines**: Light blue gridlines help in accurately interpreting the force at specific positions. - **Change in Position**: The change in position, denoted as Δx, is marked with an arrow along the x-axis, showing the primary interval of movement in the graph. This graphical representation is useful for visualizing how force varies over specific spatial intervals, making it ideal for educational purposes in physics-related subjects.
Transcribed Image Text:This graph presents a stepwise depiction of force as a function of position. The x-axis represents the position in meters (m), ranging from 0 to 10, while the y-axis indicates the force in newtons (N), ranging from -2 to 5. Key Features of the Graph: - **Data Points and Steps**: The force values change in discrete steps at particular positions, shown by horizontal and vertical lines connecting data points. - **Force Intervals**: - From 0 to 1 m, the force is 3 N. - From 1 to 2 m, the force rises to 4 N. - From 2 to 4 m, the force decreases to 2 N. - From 4 to 6 m, the force is 1 N. - At 6 m, the force increases to 4 N, then drops to -1 N between 7 and 8 m. - From 8 to 10 m, the force returns to 5 N. - **Gridlines**: Light blue gridlines help in accurately interpreting the force at specific positions. - **Change in Position**: The change in position, denoted as Δx, is marked with an arrow along the x-axis, showing the primary interval of movement in the graph. This graphical representation is useful for visualizing how force varies over specific spatial intervals, making it ideal for educational purposes in physics-related subjects.
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