Problem1. A block slides on a rough horizontal surface from point A to point B. A force (magnitude P = 2.0 N) acts on the block between A and B, as shown. Points A and B are 1.5 m apart. (a) How much work is done on the block by the force P? (b) If the kinetic energies of the block at A and B are 6.0 J and 4.0 J, respectively, how much work is done on the block by the net force as the block moves from A to B? (c) What is the work done by the friction force? 40° B

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Chapter1: Units, Trigonometry. And Vectors
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### Problem 1: Work and Energy on a Rough Surface

A block slides on a rough horizontal surface from point A to point B. A force (magnitude \( P = 2.0 \, \text{N} \)) acts on the block between A and B, as shown in the diagram. Points A and B are 1.5 meters apart.

#### Questions:
1. **(a)** How much work is done on the block by the force \( P \)?
2. **(b)** If the kinetic energies of the block at A and B are 6.0 J and 4.0 J, respectively, how much work is done on the block by the net force as the block moves from A to B?
3. **(c)** What is the work done by the friction force?

#### Diagram Explanation:
The provided diagram illustrates the block and the force \( P \):
- The block is positioned between points A and B.
- A force \( P \) of 2.0 N is acting on the block at an angle of \( 40^{\circ} \) from the horizontal axis as the block moves from point A to point B.
- The distance between points A and B is 1.5 meters.

This problem requires the application of the work-energy principle and consideration of forces acting on the block. The work done by force \( P \), changes in kinetic energy, and work done by friction need to be determined from the given conditions.
Transcribed Image Text:### Problem 1: Work and Energy on a Rough Surface A block slides on a rough horizontal surface from point A to point B. A force (magnitude \( P = 2.0 \, \text{N} \)) acts on the block between A and B, as shown in the diagram. Points A and B are 1.5 meters apart. #### Questions: 1. **(a)** How much work is done on the block by the force \( P \)? 2. **(b)** If the kinetic energies of the block at A and B are 6.0 J and 4.0 J, respectively, how much work is done on the block by the net force as the block moves from A to B? 3. **(c)** What is the work done by the friction force? #### Diagram Explanation: The provided diagram illustrates the block and the force \( P \): - The block is positioned between points A and B. - A force \( P \) of 2.0 N is acting on the block at an angle of \( 40^{\circ} \) from the horizontal axis as the block moves from point A to point B. - The distance between points A and B is 1.5 meters. This problem requires the application of the work-energy principle and consideration of forces acting on the block. The work done by force \( P \), changes in kinetic energy, and work done by friction need to be determined from the given conditions.
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