In a virtual physics lab, students explore pendulum periods. The period of pendulum C is $ \frac{2}{5} $ seconds more than the period of pendulum B. If the sum of their periods is 4.6 seconds, what is the period of pendulum B?

["In a Virtual Physics Lab: Determining Pendulum Periods Using Math", "In today’s digital classrooms, virtual physics labs offer students hands-on experience exploring fundamental concepts through interactive simulations. One classic experiment involves pendulums—simple yet powerful tools for understanding motion and periodicity. A recent virtual lab inquiry challenged students to calculate the periods of two pendulums, pendulum B and pendulum C, revealing an intriguing relationship between their durations.", "Let’s break down the problem and solve it step by step.", "### The Problem Recap\n- The period of pendulum C is $ \frac{2}{5} $ seconds more than that of pendulum B.\n- The total sum of their periods is 4.6 seconds.\n- We are asked to find the period of pendulum B.", "### Setting Up the Variables\nLet $ T_B $ represent the period of pendulum B in seconds. Since pendulum C takes $ \frac{2}{5} $ seconds longer than B, its period is:", "[\nT_C = T_B + \frac{2}{5}\n]", "Given the total period sum:", "[\nT_B + T_C = 4.6\n]", "### Substituting the Expression\nReplace $ T_C $ in the equation:", "[\nT_B + \left( T_B + \frac{2}{5} \right) = 4.6\n]", "Simplify:", "[\n2T_B + \frac{2}{5} = 4.6\n]", "### Solving for $ T_B $\nFirst, convert $ \frac{2}{5} $ to decimal for easier computation:", "[\n\frac{2}{5} = 0.4\n]", "Now substitute:", "[\n2T_B + 0.4 = 4.6\n]", "Subtract 0.4 from both sides:", "[\n2T_B = 4.2\n]", "Divide by 2:", "[\nT_B = 2.1\n]", "### Verification\n- Pendulum B: $ 2.1 $ seconds\n- Pendulum C: $ 2.1 + 0.4 = 2.5 $ seconds\n- Sum: $ 2.1 + 2.5 = 4.6 $ seconds ✅", "### Conclusion\nIn this virtual physics lab experience, students applied algebraic reasoning to uncover exact values in a real-world physics scenario. The period of pendulum B is $ \boxed{2.1} $ seconds, demonstrating how computational modeling enhances conceptual understanding in modern science education.", "Keywords: pendulum period virtual lab, physics for students, pendulum physics experiment, solving pendulum equations, virtual science lab, T pendulum vs C pendulum, afecto computacional en secundaria, física en línea."]