particle with a mass of 2.00 kg is acted on by a force Fx acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following. impulse of the force (in kg · m/s )   final velocity of the particle (in m/s) if it is initially at rest   Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of −24.00 m/s.

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Chapter1: Units, Trigonometry. And Vectors
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A particle with a mass of 2.00 kg is acted on by a force Fx acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following.

impulse of the force (in kg · m/s )

 

final velocity of the particle (in m/s) if it is initially at rest

 

Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of
−24.00 m/s.

 

The image depicts a graph illustrating the relationship between force (in newtons, N) and time (in seconds, s). The x-axis represents time, ranging from 0 to 50 seconds, while the y-axis represents force, ranging from 0 to 120 newtons.

**Graph Description:**

- The graph is a triangular shape.
- Starting at (0 seconds, 0 newtons), the force increases linearly to a peak of 100 newtons at 20 seconds.
- After reaching the peak, the force decreases linearly, returning to 0 newtons at 40 seconds.
- After 40 seconds, the force remains constant at 0 newtons until 50 seconds.

This plot can be used to study how force varies over a specific period, demonstrating both the increase and decrease in force with respect to time.
Transcribed Image Text:The image depicts a graph illustrating the relationship between force (in newtons, N) and time (in seconds, s). The x-axis represents time, ranging from 0 to 50 seconds, while the y-axis represents force, ranging from 0 to 120 newtons. **Graph Description:** - The graph is a triangular shape. - Starting at (0 seconds, 0 newtons), the force increases linearly to a peak of 100 newtons at 20 seconds. - After reaching the peak, the force decreases linearly, returning to 0 newtons at 40 seconds. - After 40 seconds, the force remains constant at 0 newtons until 50 seconds. This plot can be used to study how force varies over a specific period, demonstrating both the increase and decrease in force with respect to time.
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