9- A particle with a mass of 1.25 kg is acted on by a force \( F_x \) acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following:**Graph Explanation:**The graph shows the force \( F_x \) (in Newtons) plotted against time \( t \) (in seconds). It is characterized by:- A linear increase in force from 0 N at \( t = 0 \) s to 8 N at \( t = 2 \) s.- The force remains constant at 8 N from \( t = 2 \) s to \( t = 3 \) s.- A linear decrease in force from 8 N at \( t = 3 \) s back to 0 N at \( t = 5 \) s.### Questions:(a) Impulse of the force (in kg·m/s)\[ \text{Impulse} = \underline{\hspace{3cm}} \, \text{kg·m/s} \](b) Final velocity of the particle (in m/s) if it is initially at rest\[ \text{Final velocity} = \underline{\hspace{3cm}} \, \text{m/s} \](c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of \(-2.60\) m/s.\[ \text{Final velocity} = \underline{\hspace{3cm}} \, \text{m/s} \]

a) The expression for calculate the impulse of the force is j=F×∆t Substitute values in the above…

A particle with a mass of 1.25 kg is acted on by a force F acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following. F; (N) 81 6 4 2 t (s) 3 4 (a) impulse of the force (in kg · m/s ) kg • m/s (b) final velocity of the particle (in m/s) if it is initially at rest m/s (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of –2.60 m/s. m/s

A particle with a mass of 1.25 kg is acted on by a force F acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following. F; (N) 81 6 4 2 t (s) 3 4 (a) impulse of the force (in kg · m/s ) kg • m/s (b) final velocity of the particle (in m/s) if it is initially at rest m/s (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of –2.60 m/s. m/s

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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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

A particle with a mass of 1.25 kg is acted on by a force \( F_x \) acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following:

**Graph Explanation:**
The graph shows the force \( F_x \) (in Newtons) plotted against time \( t \) (in seconds). It is characterized by:
- A linear increase in force from 0 N at \( t = 0 \) s to 8 N at \( t = 2 \) s.
- The force remains constant at 8 N from \( t = 2 \) s to \( t = 3 \) s.
- A linear decrease in force from 8 N at \( t = 3 \) s back to 0 N at \( t = 5 \) s.

### Questions:

(a) Impulse of the force (in kg·m/s)

\[ \text{Impulse} = \underline{\hspace{3cm}} \, \text{kg·m/s} \]

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

\[ \text{Final velocity} = \underline{\hspace{3cm}} \, \text{m/s} \]

(c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of \(-2.60\) m/s.

\[ \text{Final velocity} = \underline{\hspace{3cm}} \, \text{m/s} \]

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