A block of mass ?=3.53 kgm=3.53 kg is attached to a spring, which is resting on a horizontal frictionless table. The block is pushed into the spring, compressing it by 5.00 cm,5.00 cm, and is then released from rest. The spring begins to push the block back toward the equilibrium position at ?=0 cm.x=0 cm. The graph shows the component of the force (in Newtons) exerted by the spring on the block versus the position of the block (in centimeters) relative to equilibrium. Use the graph to answer the questions. How much work is done by the spring is pushing the block from its initial position at ?=−5.00 cmx=−5.00 cm to ?=2.20 cm? What is the speed of the block when it reaches ?=2.20 cm? What is the maximum speed of the block?
A block of mass ?=3.53 kgm=3.53 kg is attached to a spring, which is resting on a horizontal frictionless table. The block is pushed into the spring, compressing it by 5.00 cm,5.00 cm, and is then released from rest. The spring begins to push the block back toward the equilibrium position at ?=0 cm.x=0 cm. The graph shows the component of the force (in Newtons) exerted by the spring on the block versus the position of the block (in centimeters) relative to equilibrium. Use the graph to answer the questions. How much work is done by the spring is pushing the block from its initial position at ?=−5.00 cmx=−5.00 cm to ?=2.20 cm? What is the speed of the block when it reaches ?=2.20 cm? What is the maximum speed of the block?
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 ?=3.53 kgm=3.53 kg is attached to a spring, which is resting on a horizontal frictionless table. The block is pushed into the spring, compressing it by 5.00 cm,5.00 cm, and is then released from rest. The spring begins to push the block back toward the equilibrium position at ?=0 cm.x=0 cm. The graph shows the component of the force (in Newtons) exerted by the spring on the block versus the position of the block (in centimeters) relative to equilibrium. Use the graph to answer the questions.
How much work is done by the spring is pushing the block from its initial position at ?=−5.00 cmx=−5.00 cm to ?=2.20 cm?
What is the speed of the block when it reaches ?=2.20 cm?
What is the maximum speed of the block?
Transcribed Image Text:### Graph Description: Force vs. Displacement
The graph presented is a Cartesian coordinate system illustrating the relationship between force (\( F_x \) in Newtons) and position (\( x \) in centimeters).
#### Axes:
- The **horizontal axis** represents the position \( x \) in centimeters, ranging from \(-5\) cm to \(5\) cm.
- The **vertical axis** stands for the force \( F_x \) in Newtons, with values ranging from \(-6\) N to \(6\) N.
#### Data Representation:
- The graph features a single diagonal line depicted in red, extending from the top-left quadrant to the bottom-right quadrant.
- It starts at the point \((-5, 6)\) indicating that when the position is \(-5\) cm, the force is \(6\) N.
- The line ends at the point \((5, -6)\), showing that at \(5\) cm, the force is \(-6\) N.
#### Relationship:
- The line demonstrates a linear, negative correlation between force and position. As the position increases, the force decreases.
- The slope of the line is constant, indicating a uniform rate of change in force with respect to position.
This graph is instrumental in visualizing how force varies with displacement and can be used to understand linear relationships and their implications in physical systems.
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