A) Calculate the work done by a nonlinear spring with force constant k(x) = 100(x+ 0.3x) [N/m] as the spring is stretched from x₁ = 0.2 m to x₂ = 0.6 m. B) What is the average equivalent force acting on the spring over this distance? NOTE: Assume that the spring force equation F=-kx is valid.
A) Calculate the work done by a nonlinear spring with force constant k(x) = 100(x+ 0.3x) [N/m] as the spring is stretched from x₁ = 0.2 m to x₂ = 0.6 m. B) What is the average equivalent force acting on the spring over this distance? NOTE: Assume that the spring force equation F=-kx is valid.
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![**Problem Statement:**
**A)** Calculate the work done by a nonlinear spring with force constant \( k(x) = 100(x + 0.3x^2) \) [N/m] as the spring is stretched from \( x_1 = 0.2 \, \text{m} \) to \( x_2 = 0.6 \, \text{m} \).
**B)** What is the average equivalent force acting on the spring over this distance?
**NOTE:** Assume that the spring force equation \( F = -kx \) is valid.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3738e16a-10fd-4378-b4a3-b8733d2d5bb5%2Fae8bc659-dc94-47b4-a741-955e3d5f2b15%2Fajsmgy5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
**A)** Calculate the work done by a nonlinear spring with force constant \( k(x) = 100(x + 0.3x^2) \) [N/m] as the spring is stretched from \( x_1 = 0.2 \, \text{m} \) to \( x_2 = 0.6 \, \text{m} \).
**B)** What is the average equivalent force acting on the spring over this distance?
**NOTE:** Assume that the spring force equation \( F = -kx \) is valid.
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