### Problem StatementIf a 250-lb crate is released from rest at point A, determine its speed after it slides 30 ft down the inclined plane. The coefficient of kinetic friction between the crate and the plane is μₖ = 0.35.### Diagram ExplanationThe diagram illustrates an inclined plane with a crate positioned at point A. The key features include:- An inclined plane at a 30° angle to the horizontal.- A coordinate system with the x-axis along the incline and the y-axis perpendicular to it.- The initial position of the crate marked at 30 ft from the bottom of the incline.- The weight component acting down the incline, with a frictional force acting opposite to the direction of motion.### Instructions1. **Sketch the Free-Body Diagram**: - Represent all the forces acting on the crate including gravitational force, normal force, and frictional force.2. **Apply Newton's Equations of Motion**: - Analyze the forces along the x-axis (incline) and y-axis (normal to incline). - Use Newton's second law to derive equations governing the motion.3. **Resolve the Weight**: - Decompose the gravitational force into components along the x- and y-axes. - Sketch the weight vector's components to form a triangle for clarity.4. **Ensure Consistent Directions**: - Clearly indicate and maintain consistent orientations for all vectors during calculations.**Note**: Using any method other than the specified Newton's equations in the given axes is not acceptable.

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Description: ### Problem StatementIf a 250-lb crate is released from rest at point A, determine its speed after it slides 30 ft down the inclined plane. The coefficient of kinetic friction between the crate and the plane is μₖ = 0.35.### Diagram ExplanationThe d

The Kinematic equations of motion are- 1) v=u+at2) s=ut+12at23) v2=u2+2as where,u is initial…

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If a 250-lb crate is released from rest at A, determine its speed after it slides 30 ft down the plane. The coefficient of kinetic friction between the crate and plane is µk= 0.35. 30 ft 区

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Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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### Problem Statement

If a 250-lb crate is released from rest at point A, determine its speed after it slides 30 ft down the inclined plane. The coefficient of kinetic friction between the crate and the plane is μₖ = 0.35.

### Diagram Explanation

The diagram illustrates an inclined plane with a crate positioned at point A. The key features include:

- An inclined plane at a 30° angle to the horizontal.
- A coordinate system with the x-axis along the incline and the y-axis perpendicular to it.
- The initial position of the crate marked at 30 ft from the bottom of the incline.
- The weight component acting down the incline, with a frictional force acting opposite to the direction of motion.

### Instructions

1. **Sketch the Free-Body Diagram**:
- Represent all the forces acting on the crate including gravitational force, normal force, and frictional force.

2. **Apply Newton's Equations of Motion**:
- Analyze the forces along the x-axis (incline) and y-axis (normal to incline).
- Use Newton's second law to derive equations governing the motion.

3. **Resolve the Weight**:
- Decompose the gravitational force into components along the x- and y-axes.
- Sketch the weight vector's components to form a triangle for clarity.

4. **Ensure Consistent Directions**:
- Clearly indicate and maintain consistent orientations for all vectors during calculations.

**Note**: Using any method other than the specified Newton's equations in the given axes is not acceptable.

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