Consider a spring has a spring constant k₁ = 580 N/m as the spring is stretched from x = 0 to x₁ = 39 cm. The spring constant then changes to k₂ = 280 N/m as the spring is stretched to x₂ = 69 cm. From x₂ = 69 cm to x₃ = 84 cm the spring force is constant at F₃ = 105 N. Q1: Calculate the work done, in joules, in stretching the spring from x₁ to x₂. Q2: Calculate the work, in joules, necessary to stretch the spring from x = 0 to x₃.