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A block of mass m= 2.63 kg is attached to a spring that is resting on a horizontal, frictionless table. The block is pushed into the spring, compressing it by 5.00 m, and is then released from rest. The spring begins to push the block back toward the equilibrium position at x = 0 m. The graph shows the component of the force (in newtons) exerted by the spring on the block versus the position of the block (in meters) relative to equilibrium. Use the graph to answer the questions. How much work W is done by the spring in pushing the block from its initial position at x = -5.00 m to x = 2.42 m? W = What is the speed u of the block when it reaches x = 2.42 m? U= J What is the maximum speed of the block? m/s -5 -B -2 64 5 4 3 1 1 -2 -3- 4 -5

A block of mass m= 2.63 kg is attached to a spring that is resting on a horizontal, frictionless table. The block is pushed into the spring, compressing it by 5.00 m, and is then released from rest. The spring begins to push the block back toward the equilibrium position at x = 0 m. The graph shows the component of the force (in newtons) exerted by the spring on the block versus the position of the block (in meters) relative to equilibrium. Use the graph to answer the questions. How much work W is done by the spring in pushing the block from its initial position at x = -5.00 m to x = 2.42 m? W = What is the speed u of the block when it reaches x = 2.42 m? U= J What is the maximum speed of the block? m/s -5 -B -2 64 5 4 3 1 1 -2 -3- 4 -5

College Physics
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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A block of mass \( m = 2.63 \, \text{kg} \) is attached to a spring that is resting on a horizontal, frictionless table. The block is pushed into the spring, compressing it by \( 5.00 \, \text{m} \), and is then released from rest. The spring begins to push the block back toward the equilibrium position at \( x = 0 \, \text{m} \). The graph shows the component of the force (in newtons) exerted by the spring on the block versus the position of the block (in meters) relative to equilibrium. Use the graph to answer the questions. **Graph Explanation:** - The graph is a straight line with a negative slope. - The horizontal axis (x-axis) represents the position \( x \) in meters, ranging from \(-5\) to \(5\). - The vertical axis (y-axis) represents the force \( F \) in newtons, ranging from \(-6\) to \(6\). - The graph line runs from the top left (\(-5, 6\)) to the bottom right (\(5, -6\)). **Questions:** 1. How much work \( W \) is done by the spring in pushing the block from its initial position at \( x = -5.00 \, \text{m} \) to \( x = 2.42 \, \text{m} \)? \[ W = \underline{\phantom{mmmmmmm}} \, \text{J} \] 2. What is the speed \( v \) of the block when it reaches \( x = 2.42 \, \text{m} \)? \[ v = \underline{\phantom{mmmmmmm}} \, \text{m/s} \]
Transcribed Image Text:A block of mass \( m = 2.63 \, \text{kg} \) is attached to a spring that is resting on a horizontal, frictionless table. The block is pushed into the spring, compressing it by \( 5.00 \, \text{m} \), and is then released from rest. The spring begins to push the block back toward the equilibrium position at \( x = 0 \, \text{m} \). The graph shows the component of the force (in newtons) exerted by the spring on the block versus the position of the block (in meters) relative to equilibrium. Use the graph to answer the questions. **Graph Explanation:** - The graph is a straight line with a negative slope. - The horizontal axis (x-axis) represents the position \( x \) in meters, ranging from \(-5\) to \(5\). - The vertical axis (y-axis) represents the force \( F \) in newtons, ranging from \(-6\) to \(6\). - The graph line runs from the top left (\(-5, 6\)) to the bottom right (\(5, -6\)). **Questions:** 1. How much work \( W \) is done by the spring in pushing the block from its initial position at \( x = -5.00 \, \text{m} \) to \( x = 2.42 \, \text{m} \)? \[ W = \underline{\phantom{mmmmmmm}} \, \text{J} \] 2. What is the speed \( v \) of the block when it reaches \( x = 2.42 \, \text{m} \)? \[ v = \underline{\phantom{mmmmmmm}} \, \text{m/s} \]
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