The force shown in the force vs. time diagram in the figure below acts on a 1.6-kg object. F (N) 2 1 1 2 3 4 5 (a) Find the impulse of the force. N.S (s) (b) Find the final velocity of the object if it is initially at rest. m/s (c) Find the final velocity of the object if it is initially moving along the x-axis with a velocity of -1.3 m/s.

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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The force shown in the force vs. time diagram in the figure below acts on a 1.6-kg object.

**Diagram Summary:**

- The graph is a force vs. time diagram.
- The x-axis represents time in seconds (s), ranging from 0 to 5 seconds.
- The y-axis represents force \( F_x \) in Newtons (N), ranging from 0 to 2 Newtons.
- The graph has a step-like pattern:
  - From 0 to 3 seconds, the force is constant at 2 N.
  - From 3 to 4 seconds, the force is constant at 1 N.
  - From 4 to 5 seconds, the force decreases linearly to 0 N.

**Questions:**

(a) Find the impulse of the force.

[Input box for N·s]

(b) Find the final velocity of the object if it is initially at rest.

[Input box for m/s]

(c) Find the final velocity of the object if it is initially moving along the x-axis with a velocity of \(-1.3\) m/s.

[Input box for m/s]
Transcribed Image Text:The force shown in the force vs. time diagram in the figure below acts on a 1.6-kg object. **Diagram Summary:** - The graph is a force vs. time diagram. - The x-axis represents time in seconds (s), ranging from 0 to 5 seconds. - The y-axis represents force \( F_x \) in Newtons (N), ranging from 0 to 2 Newtons. - The graph has a step-like pattern: - From 0 to 3 seconds, the force is constant at 2 N. - From 3 to 4 seconds, the force is constant at 1 N. - From 4 to 5 seconds, the force decreases linearly to 0 N. **Questions:** (a) Find the impulse of the force. [Input box for N·s] (b) Find the final velocity of the object if it is initially at rest. [Input box for m/s] (c) Find the final velocity of the object if it is initially moving along the x-axis with a velocity of \(-1.3\) m/s. [Input box for m/s]
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