A child applies a force F⃗ F→ parallel to the xx-axis to a 6.00-kgkg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the xx-component of the force she applies varies with the xx-coordinate of the sled as shown in figure (Figure 1). Suppose the sled is initially at rest at xx=0. You can ignore friction between the sled and the surface of the pond. Part A) Use the work-energy theorem to find the speed of the sled at 3.0 mm. Part B)Use the work-energy theorem to find the speed of the sled at 12.0 mm. This graph represents the force \( F_x \) in Newtons (N) as a function of distance \( x \) in meters (m).- **Axes:** - The horizontal axis (x-axis) represents the distance \( x \) in meters (m), ranging from 0 to 12 meters. - The vertical axis (y-axis) represents the force \( F_x \) in Newtons (N), ranging from 0 to 10 Newtons.- **Graph Description:** - The graph is a triangular shape composed of two linear segments. - The force \( F_x \) increases linearly from 0 N at \( x = 0 \) m to a peak of 10 N at \( x = 8 \) m. - After reaching the peak, the force decreases back to 0 N by \( x = 12 \) m.- **Key Points:** - At \( x = 0 \) m, \( F_x = 0 \) N. - At \( x = 8 \) m, \( F_x = 10 \) N. - At \( x = 12 \) m, \( F_x = 0 \) N.This graph illustrates how the force varies in a linear manner over a specified distance, peaking at the midpoint before returning to zero.

Name: A child applies a force F⃗ F→ parallel to the xx-axis to a 6.00-kgkg s
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Description: A child applies a force F⃗ F→ parallel to the xx-axis to a 6.00-kgkg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the xx-component of the force she applies varies with the xx-coordinate of the sled a

Part A) To find the speed of the sledge at x = 3.0 m. From the graph (consider the slope of the line…

Answered: A child applies a force F⃗ F→ parallel…

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 child applies a force F⃗ F→ parallel to the xx-axis to a 6.00-kgkg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the xx-component of the force she applies varies with the xx-coordinate of the sled as shown in figure (Figure 1). Suppose the sled is initially at rest at xx=0. You can ignore friction between the sled and the surface of the pond.

Part A) Use the work-energy theorem to find the speed of the sled at 3.0 mm.

Part B)Use the work-energy theorem to find the speed of the sled at 12.0 mm.

This graph represents the force \( F_x \) in Newtons (N) as a function of distance \( x \) in meters (m).

- **Axes:**
- The horizontal axis (x-axis) represents the distance \( x \) in meters (m), ranging from 0 to 12 meters.
- The vertical axis (y-axis) represents the force \( F_x \) in Newtons (N), ranging from 0 to 10 Newtons.

- **Graph Description:**
- The graph is a triangular shape composed of two linear segments.
- The force \( F_x \) increases linearly from 0 N at \( x = 0 \) m to a peak of 10 N at \( x = 8 \) m.
- After reaching the peak, the force decreases back to 0 N by \( x = 12 \) m.

- **Key Points:**
- At \( x = 0 \) m, \( F_x = 0 \) N.
- At \( x = 8 \) m, \( F_x = 10 \) N.
- At \( x = 12 \) m, \( F_x = 0 \) N.

This graph illustrates how the force varies in a linear manner over a specified distance, peaking at the midpoint before returning to zero.

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