A 5-kg object can move along the x axis. It is subjected to a force F in the positive x direction; a graph of F as a function of time t is shown below. Over the time the force is applied the change in the velocity of the object (in m/s) is:

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### Problem Statement:
A 5-kg object can move along the x-axis. It is subjected to a force \( F \) in the positive x direction; a graph of \( F \) as a function of time \( t \) is shown below. Over the time the force is applied, the change in the velocity of the object (in m/s) is:

### Graph Description:
The graph depicts force \( F \) (in newtons, N) on the y-axis versus time \( t \) (in seconds, s) on the x-axis.

- At \( t = 0 \) s, \( F = 0 \) N.
- From \( t = 0 \) s to \( t = 2 \) s, the force increases linearly to \( 5 \) N.
- From \( t = 2 \) s to \( t = 4 \) s, the force decreases linearly back to \( 0 \) N.
- From \( t = 4 \) s to \( t = 6 \) s, the force decreases linearly to a negative value equivalent to the initial increase.

### Potential Answers:
- a. 2.0 
- b. 1.1 
- c. 1.6 
- d. 3.0 
- e. 0.8

The correct answer is marked with an indication box around option:

- a. 2.0 

---

**Requirement**:
To determine the change in velocity of the object over the entire period the force is applied.
Transcribed Image Text:### Problem Statement: A 5-kg object can move along the x-axis. It is subjected to a force \( F \) in the positive x direction; a graph of \( F \) as a function of time \( t \) is shown below. Over the time the force is applied, the change in the velocity of the object (in m/s) is: ### Graph Description: The graph depicts force \( F \) (in newtons, N) on the y-axis versus time \( t \) (in seconds, s) on the x-axis. - At \( t = 0 \) s, \( F = 0 \) N. - From \( t = 0 \) s to \( t = 2 \) s, the force increases linearly to \( 5 \) N. - From \( t = 2 \) s to \( t = 4 \) s, the force decreases linearly back to \( 0 \) N. - From \( t = 4 \) s to \( t = 6 \) s, the force decreases linearly to a negative value equivalent to the initial increase. ### Potential Answers: - a. 2.0 - b. 1.1 - c. 1.6 - d. 3.0 - e. 0.8 The correct answer is marked with an indication box around option: - a. 2.0 --- **Requirement**: To determine the change in velocity of the object over the entire period the force is applied.
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