9 A 0.50-kg block attached to an ideal spring with a spring constant of 80 N/m oscillates on a horizontal frictionless surface. When the spring is 4.0 cm longer than its equilibrium length, the speed of the block is 0.50 m/s. The greatest speed of the block is: A) 0.32 m/s B) 0.55 m/s C) 0.71 m/s D) 0.87 m/s E) 0.93 m/s

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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:** A 0.50-kg block attached to an ideal spring with a spring constant of 80 N/m oscillates on a horizontal frictionless surface. When the spring is 4.0 cm longer than its equilibrium length, the speed of the block is 0.50 m/s. The greatest speed of the block is:

A) 0.32 m/s  
B) 0.55 m/s  
C) 0.71 m/s  
D) 0.87 m/s  
E) 0.93 m/s  

**Explanation:**

This problem involves a block-spring system on a horizontal frictionless surface. The block is oscillating, and we're interested in finding its greatest speed. The question provides the following parameters:

- Mass of the block (m): 0.50 kg
- Spring constant (k): 80 N/m
- Extension beyond equilibrium position (x): 4.0 cm (converted to meters: 0.04 m)
- Speed at this extension (v): 0.50 m/s

The task is to determine the greatest speed of the block using information about spring motion and energy conservation.
Transcribed Image Text:**Problem:** A 0.50-kg block attached to an ideal spring with a spring constant of 80 N/m oscillates on a horizontal frictionless surface. When the spring is 4.0 cm longer than its equilibrium length, the speed of the block is 0.50 m/s. The greatest speed of the block is: A) 0.32 m/s B) 0.55 m/s C) 0.71 m/s D) 0.87 m/s E) 0.93 m/s **Explanation:** This problem involves a block-spring system on a horizontal frictionless surface. The block is oscillating, and we're interested in finding its greatest speed. The question provides the following parameters: - Mass of the block (m): 0.50 kg - Spring constant (k): 80 N/m - Extension beyond equilibrium position (x): 4.0 cm (converted to meters: 0.04 m) - Speed at this extension (v): 0.50 m/s The task is to determine the greatest speed of the block using information about spring motion and energy conservation.
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