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Physics · Unit 2 · Linear motion and force · Linear motion

Analyse the area under a force–displacement graph using geometric methods.

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Question 1

A spring is compressed from its natural length. The graph shows the relationship between the applied force \(F\) and the displacement \(x\) of the spring from its natural position. What is the total work done in compressing the spring from \(x = 0\) m to \(x = 0.4\) m?

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Question 2

Calculate the work done on the crate as it slides from \(0\) m to \(6.0\) m.

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Question 3

A block is pushed horizontally along a frictionless surface. The graph below shows the applied force versus displacement. Explain the physical significance of the area under the force–displacement curve and identify the geometric method used to calculate it.

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