A 25-kg wood block is sliding on a surface with a coefficient of kinetic friction µyk= 0.706. The block slides towards a spring and compresses it at the exact moment the block first contacts the spring (position b), its velocity is 2.50 m/s. The block then compresses the spring until it stops. If the spring has a spring constant k = 300 N/m, how much does the spring get compressed while stopping the block? %3D a www v = 2.50 m/s b Ax +

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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 Description:**

A 25-kg wood block is sliding on a surface with a coefficient of kinetic friction \( \mu_k = 0.706 \). The block slides towards a spring and compresses it. At the exact moment the block first contacts the spring (position b), its velocity is 2.50 m/s. The block then compresses the spring until it stops. If the spring has a spring constant \( k = 300 \, \text{N/m} \), how much does the spring get compressed while stopping the block?

**Diagram Explanation:**

- The figure consists of three stages labeled a, b, and c.
- In stage a, a blue block is moving towards a spring with arrows indicating the direction of motion.
- In stage b, the block has a velocity of \( v = 2.50 \, \text{m/s} \) and is in contact with the spring.
- In stage c, the spring is compressed, and the block is momentarily at rest.
- Below the diagrams, there is an arrow indicating the compression distance \( \Delta x \), which we are asked to find.

This setup requires analyzing the forces involved and employing energy conservation principles to determine the maximum compression of the spring.
Transcribed Image Text:**Problem Description:** A 25-kg wood block is sliding on a surface with a coefficient of kinetic friction \( \mu_k = 0.706 \). The block slides towards a spring and compresses it. At the exact moment the block first contacts the spring (position b), its velocity is 2.50 m/s. The block then compresses the spring until it stops. If the spring has a spring constant \( k = 300 \, \text{N/m} \), how much does the spring get compressed while stopping the block? **Diagram Explanation:** - The figure consists of three stages labeled a, b, and c. - In stage a, a blue block is moving towards a spring with arrows indicating the direction of motion. - In stage b, the block has a velocity of \( v = 2.50 \, \text{m/s} \) and is in contact with the spring. - In stage c, the spring is compressed, and the block is momentarily at rest. - Below the diagrams, there is an arrow indicating the compression distance \( \Delta x \), which we are asked to find. This setup requires analyzing the forces involved and employing energy conservation principles to determine the maximum compression of the spring.
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