10. A 4.0 kg block is pushed against a spring with negligible mass and force constant k = 700 N/m, compressing it 0.20 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 40°. (a) What is the speed of the block as it slides along the horizontal surface after having left the spring? (b) How far does the block travel up the incline before starting to slide back down? (c) Redo part b. if there is a non-zero coefficient of kinetic friction k = 0.10 on the incline (but not on the horizontal surface). km 30°
10. A 4.0 kg block is pushed against a spring with negligible mass and force constant k = 700 N/m, compressing it 0.20 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 40°. (a) What is the speed of the block as it slides along the horizontal surface after having left the spring? (b) How far does the block travel up the incline before starting to slide back down? (c) Redo part b. if there is a non-zero coefficient of kinetic friction k = 0.10 on the incline (but not on the horizontal surface). km 30°
College Physics
11th Edition
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![### Problem Statement
**Problem 10:**
A 4.0 kg block is pushed against a spring with negligible mass and a force constant \( k = 700 \, \text{N/m} \), compressing it 0.20 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with a slope of 40°. Answer the following questions:
(a) What is the speed of the block as it slides along the horizontal surface after having left the spring?
(b) How far does the block travel up the incline before starting to slide back down?
(c) Redo part b. if there is a non-zero coefficient of kinetic friction \( \mu_k = 0.10 \) on the incline (but not on the horizontal surface).
### Illustration Description
The accompanying diagram illustrates the setup of the problem:
- On the left side, a spring with a spring constant \( k \) is shown compressed by a block of mass \( m \).
- The spring is compressed by 0.20 m.
- The block is situated on a frictionless, horizontal surface.
- After traversing the horizontal surface, the block encounters an incline with a slope of 30°.
The diagram aids in visualizing the problem and understanding the motion of the block through different stages: compression of the spring, travel across the horizontal plane, and subsequent movement up the incline.
### Explanation
To approach this problem, consider the conservation of energy principles and the dynamics of motion both on the horizontal surface and the incline. The calculations will involve kinetic and potential energy equations, as well as the inclusion of frictional force in part (c).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba4cba5c-1d49-41b8-aac4-ce3ae0c647d3%2Fa0f4e9c7-780c-4929-9257-7caa0daf426d%2Forspu9_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
**Problem 10:**
A 4.0 kg block is pushed against a spring with negligible mass and a force constant \( k = 700 \, \text{N/m} \), compressing it 0.20 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with a slope of 40°. Answer the following questions:
(a) What is the speed of the block as it slides along the horizontal surface after having left the spring?
(b) How far does the block travel up the incline before starting to slide back down?
(c) Redo part b. if there is a non-zero coefficient of kinetic friction \( \mu_k = 0.10 \) on the incline (but not on the horizontal surface).
### Illustration Description
The accompanying diagram illustrates the setup of the problem:
- On the left side, a spring with a spring constant \( k \) is shown compressed by a block of mass \( m \).
- The spring is compressed by 0.20 m.
- The block is situated on a frictionless, horizontal surface.
- After traversing the horizontal surface, the block encounters an incline with a slope of 30°.
The diagram aids in visualizing the problem and understanding the motion of the block through different stages: compression of the spring, travel across the horizontal plane, and subsequent movement up the incline.
### Explanation
To approach this problem, consider the conservation of energy principles and the dynamics of motion both on the horizontal surface and the incline. The calculations will involve kinetic and potential energy equations, as well as the inclusion of frictional force in part (c).
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