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Draw force - displacement graph for a spring and find an expression for the potential energy of an elastic spring. |
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Answer» Solution :(i) According to Hooke's law the restoring spring force and displacement are linearly related as `F=-k x`, and are opposite in direction, the graph between F and x is a straight LINE with dwelling only in the second and fourth quadrant as shown in Figure. (ii) The ELASTIC potential ENERGY can be easily calculated by drawing a F - x graph. The shaded area (triangle) is the work done by the spring force. (III) Area (base) (height) `=(1)/(2)xx (x)xx (kx)`. `=(1)/(2)kx^(2)`  (iv) Work done is stored as the potential energy of the spring. `therefore U = (1)/(2) kx^(2)` |
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