An object starts from rest at the origin and moves along the x axis subject to the force shown in the figure below. If the mass of the object is 37.0 kg, determine the speed of the object at the following positions. Each unit along the position axis is 2.00 m and each unit along the force axis is 3.00 N. (a)    x = A (b)    x = B (c)    x = C

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Chapter1: Units, Trigonometry. And Vectors
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An object starts from rest at the origin and moves along the x axis subject to the force shown in the figure below. If the mass of the object is 37.0 kg, determine the speed of the object at the following positions. Each unit along the position axis is 2.00 m and each unit along the force axis is 3.00 N.

(a)    x = A

(b)    x = B

(c)    x = C

The image is a graph depicting the relationship between force \( F \) (in newtons) and position \( x \) (in meters). The graph illustrates a piecewise linear function with three segments:

1. **Segment from O to A**: This segment shows a linear increase in force. It starts from the origin (0,0) and rises to point A. The slope is positive, indicating a steady increase in force as the position increases.

2. **Segment from A to B**: In this segment, the force remains constant. The line is horizontal, indicating that the force does not change with position from point A to point B.

3. **Segment from B to C**: This segment shows a linear decrease in force. Starting from point B, the force decreases back to zero by the time it reaches point C. The negative slope indicates a steady decrease in force as the position increases.

The graph is drawn on a grid, with both axes labeled: the vertical axis represents force \( F \) in newtons, and the horizontal axis represents position \( x \) in meters. The grid helps in visualizing the increments and changes in values between the points.
Transcribed Image Text:The image is a graph depicting the relationship between force \( F \) (in newtons) and position \( x \) (in meters). The graph illustrates a piecewise linear function with three segments: 1. **Segment from O to A**: This segment shows a linear increase in force. It starts from the origin (0,0) and rises to point A. The slope is positive, indicating a steady increase in force as the position increases. 2. **Segment from A to B**: In this segment, the force remains constant. The line is horizontal, indicating that the force does not change with position from point A to point B. 3. **Segment from B to C**: This segment shows a linear decrease in force. Starting from point B, the force decreases back to zero by the time it reaches point C. The negative slope indicates a steady decrease in force as the position increases. The graph is drawn on a grid, with both axes labeled: the vertical axis represents force \( F \) in newtons, and the horizontal axis represents position \( x \) in meters. The grid helps in visualizing the increments and changes in values between the points.
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