Question

A force F parallel to X-axis is starching a very light horizontal spring. Variation of force F vs. X, elongation of the spring is shown in the figure. (a)What is the spring force constant? (b) Calculate the work done by the force F as the spring elongates from x=4.0 cm to x=8.0 m.

Answer 1

The spring constant is obtained from the ratio of applied force to the elongation of the spring. The work done by the force is 2F.

Spring constant

The spring constant is obtained from the ratio of applied force to the elongation of the spring.

k = F/x (N/m)

Work done by the force

The work done by the force is calculated as follows;

W = ¹/₂FΔx

where;

• F is applied force
• Δx is elongation of the spring = 8 m - 4 m = 4 m

W = ¹/₂F(4)

W = 2F

Thus, the spring constant is obtained from the ratio of applied force to the elongation of the spring. The work done by the force is 2F.

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