Two weightless springs of the same length, having a stiffness of 10 N / cm and 20 N / cm
| June 1, 2021 | education
Two weightless springs of the same length, having a stiffness of 10 N / cm and 20 N / cm, are connected in parallel. What work should be done to stretch the springs 3 cm?
Data: k1 (stiffness of the first spring) = 10 N / cm = 1000 N / m; k2 (stiffness of the second spring) = 20 N / cm = 2000 N / m; Δx (required extension of the springs) = 3 cm = 0.03 m; parallel connection.
Perfect work: A = k * Δx ^ 2/2 = (k1 + k2) * Δx ^ 2/2 = (1000 + 2000) * 0.03 ^ 2/2 = 1.35 J.
Answer: To stretch the connection from these springs, work of 1.35 J is required.
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