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How much energy can be stored in a spring with k=500 n/m if the maximum is possible stretch is 18cm

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Final answer:

The potential energy stored in a spring with a spring constant of 500 N/m and a maximum stretch of 18 cm is 8.1 Joules.

Step-by-step explanation:

The potential energy stored in a spring can be calculated using the formula:

PE = (1/2)kx²

Where:

  • PE is the potential energy
  • k is the spring constant, given as 500 N/m
  • x is the maximum stretch, given as 18 cm

Plugging in the given values into the formula, we get:

PE = (1/2)(500 N/m)(0.18 m)² = 8.1 J

Therefore, the energy stored in the spring is 8.1 Joules.

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