A 2kg block is pulled up 10° incline with constant speed of 2 m/s by means of a rope parallel to the incline. a) If the coefficient of kinetic friction between the block and the incline is 0.35, what is the tension in the rope? b) At what rate tension does work on the block? Use 2nd newton's law to solve part a). Part b) is about calculating power.
A 2kg block is pulled up 10° incline with constant speed of 2 m/s by means of a rope parallel to the incline. a) If the coefficient of kinetic friction between the block and the incline is 0.35, what is the tension in the rope? b) At what rate tension does work on the block? Use 2nd newton's law to solve part a). Part b) is about calculating power.
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Chapter1: Units, Trigonometry. And Vectors
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![**Inclined Plane Problem**
In this problem, a 2 kg block is pulled up a 10° incline with a constant speed of 2 m/s using a rope that is parallel to the incline.
**Part a)**
If the coefficient of kinetic friction between the block and the incline is 0.35, determine the tension in the rope. Use Newton's second law to solve this part.
**Part b)**
Calculate the rate at which tension does work on the block. This part involves calculating power.
**Note:**
- For Part a, you will need to consider the forces acting on the block including gravitational, normal, frictional, and tension forces.
- For Part b, use the formula for power, which is the rate of doing work, in relation to the tension in the rope and the speed of the block.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b7dd8f1-dbab-4607-8b33-bde9974f18c9%2F46de20dd-7a60-478d-ae39-39a9305f5bf6%2Fk75h24_processed.png&w=3840&q=75)
Transcribed Image Text:**Inclined Plane Problem**
In this problem, a 2 kg block is pulled up a 10° incline with a constant speed of 2 m/s using a rope that is parallel to the incline.
**Part a)**
If the coefficient of kinetic friction between the block and the incline is 0.35, determine the tension in the rope. Use Newton's second law to solve this part.
**Part b)**
Calculate the rate at which tension does work on the block. This part involves calculating power.
**Note:**
- For Part a, you will need to consider the forces acting on the block including gravitational, normal, frictional, and tension forces.
- For Part b, use the formula for power, which is the rate of doing work, in relation to the tension in the rope and the speed of the block.
![**Problem Statement:**
2. A horizontal spring (\(k = 100 \, \text{N/m}\)) with a 1 kg block at its end is compressed 21 cm.
a) What is the elastic potential energy stored in the spring?
b) If the system is released, with what speed will the block leave the spring? Ignore friction, use energy conservation law.
**Diagram Explanation:**
The diagram shows a horizontal spring attached to a block resting on a flat surface. The spring is compressed, pushing against the block. This visual illustrates the setup described in the problem, where the spring's compression stores potential energy, which is released to propel the block when the spring is released.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b7dd8f1-dbab-4607-8b33-bde9974f18c9%2F46de20dd-7a60-478d-ae39-39a9305f5bf6%2Fuf56dz_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
2. A horizontal spring (\(k = 100 \, \text{N/m}\)) with a 1 kg block at its end is compressed 21 cm.
a) What is the elastic potential energy stored in the spring?
b) If the system is released, with what speed will the block leave the spring? Ignore friction, use energy conservation law.
**Diagram Explanation:**
The diagram shows a horizontal spring attached to a block resting on a flat surface. The spring is compressed, pushing against the block. This visual illustrates the setup described in the problem, where the spring's compression stores potential energy, which is released to propel the block when the spring is released.
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