9. How is spring potential energy determined from a force versus position graph?
Answer: The potential energy associated with a mass attached to a spring depends on how much the spring is stretched or compressed. ... The gravitational force on the mass is −mg (“−” because the force points down). The force is the negative of the slope on the potential energy versus position graph.
Explanation:
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By getting the data from the graph of force versus displacement we can calculate the Potential energy of the spring.
What will be the potential energy?As we know that potential energy is defined as the energy possessed by the body due to its position with respect to other positions.
For an example the potential energy of an object if it is placed at height h will be due to the gravitational acceleration of the earth and is given by [tex]PE=mgh[/tex]
Similarly, for a spring-mass system, the potential energy will be due to the weight of the mass that will be the force exerted by the mass on the spring so there will be an extension in the spring.
So this extension will be found out by the force and displacement graph as the position of the mass attached to the spring goes down so the potential energy can be calculated as the
[tex]PE= F\times X[/tex]
[tex]F=mg[/tex] weight of the mass
X= deflection of the spring
Thus by getting the data from the graph of force versus displacement we can calculate the Potential energy of the spring.
To know more about potential energy follow
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