Q15. As shown on the right in image below, the force Facting on the box varies with time t, and the coefficient in the image, C = 10. Determine the magnitude of the total impulse (in N.s) done by force F to the box during the period from t = 0.3 s to t = 1.2 s. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point.

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Question 15:**

As shown on the right in the image below, the force \( F \) acting on the box varies with time \( t \), and the coefficient in the image, \( C = 10 \). Determine the magnitude of the total impulse (in \(\text{N} \cdot \text{s}\)) done by force \( F \) to the box during the period from \( t = 0.3 \, \text{s} \) to \( t = 1.2 \, \text{s} \). Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point.

**Diagram Explanation:**

1. **Diagram on the Left:**
   - A box is resting on a horizontal surface.
   - A force \( F \) is applied at an angle of \( 30^\circ \) above the horizontal.

2. **Graph on the Right:**
   - The vertical axis represents the force \( F \) in Newtons (N).
   - The horizontal axis represents time \( t \) in seconds (s).
   - The line starts at 0, goes up linearly to a value labeled as \( C \) at \( t = 1 \, \text{s} \), and continues horizontally constant at the value \( C = 10 \) up to \( t = 3 \, \text{s} \).

**Your Answer:**

[Input Box for Answer]

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This educational content provides information on calculating the impulse applied to a box when varying forces are involved, illustrated through a graph with randomized values.
Transcribed Image Text:**Question 15:** As shown on the right in the image below, the force \( F \) acting on the box varies with time \( t \), and the coefficient in the image, \( C = 10 \). Determine the magnitude of the total impulse (in \(\text{N} \cdot \text{s}\)) done by force \( F \) to the box during the period from \( t = 0.3 \, \text{s} \) to \( t = 1.2 \, \text{s} \). Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. **Diagram Explanation:** 1. **Diagram on the Left:** - A box is resting on a horizontal surface. - A force \( F \) is applied at an angle of \( 30^\circ \) above the horizontal. 2. **Graph on the Right:** - The vertical axis represents the force \( F \) in Newtons (N). - The horizontal axis represents time \( t \) in seconds (s). - The line starts at 0, goes up linearly to a value labeled as \( C \) at \( t = 1 \, \text{s} \), and continues horizontally constant at the value \( C = 10 \) up to \( t = 3 \, \text{s} \). **Your Answer:** [Input Box for Answer] --- This educational content provides information on calculating the impulse applied to a box when varying forces are involved, illustrated through a graph with randomized values.
Expert Solution
Step 1

Since the variation is linear for the duration of 0.3 second to 1 second, the impulse can be determined as shown below.

Mechanical Engineering homework question answer, step 1, image 1

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Mechanical Engineering homework question answer, step 1, image 2

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