Graph Gx=3x2-12x-3 Use The Parabola Tool Then Choo - Gauthmath

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Question

(SSCE) 8 Sketch the graph of the relation between the extension of a spiral spring and the load attached to it when it is gradually loaded up to the elastic limit. If the spring has a stiffness of 950Nm^(-1), what work will be done in extending the spring by 60 mm?SHOW LESS0

Solution

The work done in extending the spring by 60 mm is 1.71 J.

Step 1: Convert the extension of the spring from millimeters to meters: Given extension = 60 mm = 60 * 10^-3 m.

Step 2: Calculate the work done in extending the spring using the formula for work done in stretching a spring: Work = 0.5 * k * (extension)^2, where k is the stiffness of the spring.

Step 3: Substitute the values into the formula: Work = 0.5 * 950 * (60 * 10^-3)^2 Work = 0.5 * 950 * 0.06^2 Work = 0.5 * 950 * 0.0036 Work = 1.71 J

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