**Problem Statement:**Q4. As shown in the image below, a 112-kg crate starts sliding down the inclined plane from rest. The coefficient of kinetic friction between the crate and the inclined plane is \( \mu_k = 0.22 \). Take \( g = 9.81 \, \text{m/s}^2 \).**Diagram Description:**- The diagram illustrates a crate on an inclined plane.- The inclined plane has an angle of \( 45^\circ \) with the horizontal.- A spring is fixed at the bottom of the incline.- The spring constant is \( k = 2 \, \text{kN/m} \).- The inclined plane is 10 meters long.- The crate is placed at the top of the incline and begins to slide down.- Variable \( x \) represents the compression of the spring when the crate reaches the bottom.**Questions:**1. Apply the principle of work and energy to determine the speed (in the unit of m/s) when the crate reaches the bottom of the inclined plane. **Problem Statement for Educational Website:****Q4.** For this part of the problem, use the same main problem statement, numbers, and image in Q4 (1).**(2)** If the spring is initially unstretched, and its spring constant is given in the image, determine the compression of the spring \(x\) when the crate momentarily stops. _Hint:_ when the crate compresses the spring, the weight and the frictional force are still doing work. Your answer must include two places after the decimal point and proper units.**Solution Box:**The solution is displayed in a box and shows the numerical answer as:```2.00```*(Note: There are no graphs or diagrams to describe in this image.)*

Givenm=112kgμk=0.22g=9.81 m/s2s=10mk=2 kN/mθ=45o

Q4. As shown in the image below, a 112-kg crate starts sliding down the inclined plane from rest. The coefficient of kinetic friction between the crate and the inclined plane is μ = 0.22. Take g = 9.81 m/s².

Q4. As shown in the image below, a 112-kg crate starts sliding down the inclined plane from rest. The coefficient of kinetic friction between the crate and the inclined plane is μ = 0.22. Take g = 9.81 m/s².

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

**Problem Statement:**

Q4. As shown in the image below, a 112-kg crate starts sliding down the inclined plane from rest. The coefficient of kinetic friction between the crate and the inclined plane is \( \mu_k = 0.22 \). Take \( g = 9.81 \, \text{m/s}^2 \).

**Diagram Description:**

- The diagram illustrates a crate on an inclined plane.
- The inclined plane has an angle of \( 45^\circ \) with the horizontal.
- A spring is fixed at the bottom of the incline.
- The spring constant is \( k = 2 \, \text{kN/m} \).
- The inclined plane is 10 meters long.
- The crate is placed at the top of the incline and begins to slide down.
- Variable \( x \) represents the compression of the spring when the crate reaches the bottom.

**Questions:**

1. Apply the principle of work and energy to determine the speed (in the unit of m/s) when the crate reaches the bottom of the inclined plane.

**Problem Statement for Educational Website:**

**Q4.** For this part of the problem, use the same main problem statement, numbers, and image in Q4 (1).

**(2)** If the spring is initially unstretched, and its spring constant is given in the image, determine the compression of the spring \(x\) when the crate momentarily stops. _Hint:_ when the crate compresses the spring, the weight and the frictional force are still doing work. Your answer must include two places after the decimal point and proper units.

**Solution Box:**

The solution is displayed in a box and shows the numerical answer as:
```
2.00
```

*(Note: There are no graphs or diagrams to describe in this image.)*

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