A particle with a mass of 1.20 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.(a) Impulse of the force (in kg · m/s )(b) Final velocity of the particle (in m/s) if it is initially at rest(c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of −2.30 m/s. ### Transcription and Explanation of the Force vs. Time Graph**Graph Title: Force vs. Time Graph****Axes:**- The horizontal axis (x-axis) represents time, \( t \), measured in seconds (s). The range is from 0 to 5 seconds.- The vertical axis (y-axis) represents force, \( F_x \), measured in newtons (N). The range is from 0 to 8 newtons.**Description:**This graph illustrates how force varies with time. The plotted line is a piecewise linear function, which consists of three distinct segments:1. **Segment 1 (Increasing Force):** - From \( t = 0 \) to \( t = 2 \) seconds, the force increases linearly from 0 N to 8 N. - This segment represents a uniform increase in force.2. **Segment 2 (Constant Force):** - From \( t = 2 \) to \( t = 3 \) seconds, the force remains constant at 8 N. - This indicates a period where the exerted force does not change.3. **Segment 3 (Decreasing Force):** - From \( t = 3 \) to \( t = 5 \) seconds, the force decreases linearly back to 0 N. - This segment represents a uniform decrease in force, returning to the initial state.**Analysis:**- The graph shows a symmetric trapezoidal shape for the force over time.- The increase and decrease in force are equal in duration and magnitude but occur at different times.- Such graphs are useful for understanding how dynamic systems respond to changes in applied forces, which is crucial in physics and engineering applications.

Mass of Particle M = 1.2 Kg (a) Impulse of the Force J→ = ? J→ = Fav(∆t) = (8N)(5) = 40…

A particle with a mass of 1.20 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. (a) Impulse of the force (in kg · m/s ) (b) Final velocity of the particle (in m/s) if it is initially at rest (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of −2.30 m/s.

A particle with a mass of 1.20 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. (a) Impulse of the force (in kg · m/s ) (b) Final velocity of the particle (in m/s) if it is initially at rest (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of −2.30 m/s.

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