A 1kg block that is being pushed across a frictionlesssurface by a constant force that is not parallel to the block’s velocity. Aforce (in Newtons) vs. position (in meters) graph appears below.Note that the graph shows the x-component of the force in blue (i.e., the middle line), the y-component in red (i.e., the bottom line) and the magnitude of the force in green (i.e., the top line). A kinetic energy (in Joules) vs. position (in meters) graph is also plotted for the motion.Choose a distance and describe, in words, how you would use the force vs. position graph to obtain a value for the work done on the block after the block has moved a given distance. Which force did you use? Showyour work.What distance did you choose when you determined the work in Q1?Describe, in words, how you would use the kinetic energy vs. positiongraph to obtain the change in kinetic energy of the block when the block travels the distance that you chose in Q1?How do your answers to Q1 and Q3 compare? What can youconclude? This educational content includes two graphs related to the dynamics of a block under the influence of forces.**Left Graph: Force on Block**- **Title:** Force on Block- **Axes:** - Horizontal axis labeled as \( x \, (m) \), representing the position in meters. - Vertical axis labeled with force in Newtons (N).- **Data:** - **Red Line (\( F_x \))**: Represents the horizontal force component on the block, maintaining a constant value of \(-10 \, N\). - **Green Line (\( F_y \))**: Represents the vertical force component on the block, maintaining a constant value just below \( 15 \, N\). - **Blue Line (\( |F| \))**: Represents the magnitude of the resultant force, remaining constant and just above \( 10 \, N\).**Right Graph: Kinetic Energy of Block**- **Title:** Kinetic Energy of Block- **Axes:** - Horizontal axis labeled as \( x \), representing the position. - Vertical axis labeled with kinetic energy in an arbitrary unit.- **Data:** - **Red Line (\( K \))**: Indicates the kinetic energy of the block, which increases linearly from \( 0 \) to \( 250 \) as the position \( x \) increases from \( 0 \) to \( 25 \).**Diagram:**Above the graphs, there is a diagram of a block on a surface with an arrow indicating a force applied at an angle.This presentation helps visualize how constant forces act on the block, resulting in a linear increase in its kinetic energy as it moves along the surface.

1. Area under the force-distance graph gives the work done by the force. Here, to find work done, distance chosen is 0 to 15 m From graph, 2. The distance to be considered is till 15 m 3. Consider value of Kinetic energy at x = 15 m and at x = 0 and then find difference of them. It will give change in kinetic energy. 4. Value of Kinetic energy at x= 15 m is around 125 J which is less than work done in first case. Hence, some amount of work done is converted to heat energy due to friction.

Answered: 1kg block that is being pushed across a…

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 1kg block that is being pushed across a frictionless
surface by a constant force that is not parallel to the block’s velocity. A
force (in Newtons) vs. position (in meters) graph appears below.Note that the graph shows the x-component of the force in blue (i.e., the middle line), the y-component in red (i.e., the bottom line) and the magnitude of the force in green (i.e., the top line). A kinetic energy (in Joules) vs. position (in meters) graph is also plotted for the motion.

Choose a distance and describe, in words, how you would use the force vs. position graph to obtain a value for the work done on the block after the block has moved a given distance. Which force did you use? Show
your work.
What distance did you choose when you determined the work in Q1?
Describe, in words, how you would use the kinetic energy vs. position
graph to obtain the change in kinetic energy of the block when the block travels the distance that you chose in Q1?
How do your answers to Q1 and Q3 compare? What can you
conclude?

This educational content includes two graphs related to the dynamics of a block under the influence of forces.

**Left Graph: Force on Block**

- **Title:** Force on Block
- **Axes:**
- Horizontal axis labeled as \( x \, (m) \), representing the position in meters.
- Vertical axis labeled with force in Newtons (N).

- **Data:**
- **Red Line (\( F_x \))**: Represents the horizontal force component on the block, maintaining a constant value of \(-10 \, N\).
- **Green Line (\( F_y \))**: Represents the vertical force component on the block, maintaining a constant value just below \( 15 \, N\).
- **Blue Line (\( |F| \))**: Represents the magnitude of the resultant force, remaining constant and just above \( 10 \, N\).

**Right Graph: Kinetic Energy of Block**

- **Title:** Kinetic Energy of Block
- **Axes:**
- Horizontal axis labeled as \( x \), representing the position.
- Vertical axis labeled with kinetic energy in an arbitrary unit.

- **Data:**
- **Red Line (\( K \))**: Indicates the kinetic energy of the block, which increases linearly from \( 0 \) to \( 250 \) as the position \( x \) increases from \( 0 \) to \( 25 \).

**Diagram:**

Above the graphs, there is a diagram of a block on a surface with an arrow indicating a force applied at an angle.

This presentation helps visualize how constant forces act on the block, resulting in a linear increase in its kinetic energy as it moves along the surface.

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