The 52-1b block rests on the rough surface for which the coefficient of kinetic friction is μ = 0.2. A force F= (40+ s²) lb, where s is in ft, acts on the block in the direction shown. The spring is originally unstretched (s = 0) and the block is at rest. (Figure 1) igure < 1 of 1 > Part A Determine the power developed by the force the instant the block has moved s = 1.5 ft. Express your answer in units of horsepower to three significant figures. —| ΑΣΦ. 11 | vec| W = Submit Request Answer ? hp

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### Physics Problem: Power Developed by a Force

**Problem Statement:**

A 52-lb block rests on a rough surface with a coefficient of kinetic friction \( \mu_k = 0.2 \). A force \( F = (40 + s^2) \, \text{lb} \), where \( s \) is in feet, acts on the block in the direction shown. The spring is originally unstretched (\( s = 0 \)) and the block is at rest.

**Task:**

Determine the power developed by the force the instant the block has moved \( s = 1.5 \, \text{ft} \).

**Express your answer in units of horsepower to three significant figures.**

**Diagram Explanation:**

- The diagram shows a block on a horizontal surface with an angle of \( 30^\circ \).
- A spring with a constant \( k = 20 \, \text{lb/ft} \) is attached to the block.
- The applied force \( F \) is directed at \( 30^\circ \) to the horizontal surface.

**Input Section:**

You are required to calculate \( W \) (the power developed) and express it in horsepower. An input box is provided for entering the solution.

**Considerations:**

- Use the relationship between force, displacement, spring constant, and friction to determine the power.
- The solution requires working with vectors and trigonometric components due to the angled force.
  
**Submit your answer once completed.**
Transcribed Image Text:### Physics Problem: Power Developed by a Force **Problem Statement:** A 52-lb block rests on a rough surface with a coefficient of kinetic friction \( \mu_k = 0.2 \). A force \( F = (40 + s^2) \, \text{lb} \), where \( s \) is in feet, acts on the block in the direction shown. The spring is originally unstretched (\( s = 0 \)) and the block is at rest. **Task:** Determine the power developed by the force the instant the block has moved \( s = 1.5 \, \text{ft} \). **Express your answer in units of horsepower to three significant figures.** **Diagram Explanation:** - The diagram shows a block on a horizontal surface with an angle of \( 30^\circ \). - A spring with a constant \( k = 20 \, \text{lb/ft} \) is attached to the block. - The applied force \( F \) is directed at \( 30^\circ \) to the horizontal surface. **Input Section:** You are required to calculate \( W \) (the power developed) and express it in horsepower. An input box is provided for entering the solution. **Considerations:** - Use the relationship between force, displacement, spring constant, and friction to determine the power. - The solution requires working with vectors and trigonometric components due to the angled force. **Submit your answer once completed.**
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