An incline plane is 12-m long and 4-m high. A block is pulled up the ramp with a spring scale. The reading on the spring scale is 70-N. How many Newtons would the block actually weigh if you had to lift it the 4-m height?

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.

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.

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