1. Prince stretched a circular spring with a spring constant of 3 N/m until it was extended to 50cm. What is the elastic potential energy of the spring stretched by Prince/ stored by the spring?2. How much elastic potential energy does a spring store when it is compressed by 0.2 m if ithas a spring constant of 5 N/m?3. What is the elastic potential energy stored in a spring whose spring constant is 160 N/m when itis 8.0 cm compressed?
Question
- Prince stretched a circular spring with a spring constant of 3 N/m until it was extended to 50cm. What is the elastic potential energy of the spring stretched by Prince/ stored by the spring?2. How much elastic potential energy does a spring store when it is compressed by 0.2 m if ithas a spring constant of 5 N/m?3. What is the elastic potential energy stored in a spring whose spring constant is 160 N/m when itis 8.0 cm compressed?
Solution
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The elastic potential energy (PE) stored in a spring can be calculated using the formula PE = 0.5 * k * x^2, where k is the spring constant and x is the displacement of the spring from its equilibrium position. In this case, k = 3 N/m and x = 50 cm = 0.5 m. Substituting these values into the formula gives PE = 0.5 * 3 N/m * (0.5 m)^2 = 0.375 J.
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Using the same formula, if the spring constant k = 5 N/m and the displacement x = 0.2 m, then the elastic potential energy stored in the spring is PE = 0.5 * 5 N/m * (0.2 m)^2 = 0.1 J.
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If the spring constant k = 160 N/m and the displacement x = 8.0 cm = 0.08 m, then the elastic potential energy stored in the spring is PE = 0.5 * 160 N/m * (0.08 m)^2 = 0.512 J.
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