2. The graph shows the x component of the net force on an object versus position. Find the work done by the net force as the object moves from (assume no frictional forces): 30 a. O to 2 m 20 b. 2 to 4 m -10 c. 4 to 10 m -20 0 2 4 6 8 10 12 Position (m) Force (N)

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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**Problem 2: Analysis of Net Force and Work Done**

The graph illustrates the x-component of the net force acting on an object versus its position. To determine the work done by the net force as the object moves (assuming no frictional forces), complete the following tasks:

**a. Work Done from 0 to 2 m:**

__________________________

**b. Work Done from 2 to 4 m:**

__________________________

**c. Work Done from 4 to 10 m:**

__________________________

**d. Work Done from 10 to 12 m:**

__________________________

**e. Total Work Done from 0 to 12 m:**

__________________________

**f. Given:**
- Mass of the object = 6 kg
- Initial speed at \(x = 0\) = 4 m/s

Calculate the speed of the object when it is at 4 meters.

**g. Calculate how fast the object is moving at 12 meters.**

__________________________

**Graph Description:**

The y-axis represents Force (in Newtons), ranging from -20 to 30 N, while the x-axis represents Position (in meters), ranging from 0 to 12 m. The force profile is segmented as follows:
- From 0 to 2 meters: Constant force of 20 N.
- From 2 to 4 meters: Constant force of 10 N.
- From 4 to 10 meters: Constant force of 0 N.
- From 10 to 12 meters: Constant force of -10 N.

The graph sections are horizontal, indicating constant forces over these intervals.
Transcribed Image Text:**Problem 2: Analysis of Net Force and Work Done** The graph illustrates the x-component of the net force acting on an object versus its position. To determine the work done by the net force as the object moves (assuming no frictional forces), complete the following tasks: **a. Work Done from 0 to 2 m:** __________________________ **b. Work Done from 2 to 4 m:** __________________________ **c. Work Done from 4 to 10 m:** __________________________ **d. Work Done from 10 to 12 m:** __________________________ **e. Total Work Done from 0 to 12 m:** __________________________ **f. Given:** - Mass of the object = 6 kg - Initial speed at \(x = 0\) = 4 m/s Calculate the speed of the object when it is at 4 meters. **g. Calculate how fast the object is moving at 12 meters.** __________________________ **Graph Description:** The y-axis represents Force (in Newtons), ranging from -20 to 30 N, while the x-axis represents Position (in meters), ranging from 0 to 12 m. The force profile is segmented as follows: - From 0 to 2 meters: Constant force of 20 N. - From 2 to 4 meters: Constant force of 10 N. - From 4 to 10 meters: Constant force of 0 N. - From 10 to 12 meters: Constant force of -10 N. The graph sections are horizontal, indicating constant forces over these intervals.
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