To calculate the elongation of the fishing line used, we use the equality: F = Fel .; m * g = k * Δx and Δx = m * g / k.
Values of variables and constants: m – mass of fish raised (m = 200 g = 0.2 kg); g – acceleration due to gravity (g ≈ 10 m / s2); k is the rigidity of the line used (k = 0.5 kN / m = 500 N / m).
Let’s calculate: Δx = m * g / k = 0.2 * 10/500 = 0.004 m or 4 mm.
Answer: The fishing line used when lifting the fish should have lengthened by 4 mm.
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