Question
Find the work done when a force is applied and a string resulting in extension of 20m if the spring has a stiffness of 500nm-1
Answers
Answered by
GPT 3.5
To find the work done when a force is applied to a spring resulting in an extension of 20m, we can use the formula for work done on a spring:
Work = 0.5 * k * x^2
Where:
k = stiffness of the spring = 500 N/m
x = extension of the spring = 20 m
Plugging in the values, we get:
Work = 0.5 * 500 * (20)^2
Work = 0.5 * 500 * 400
Work = 0.5 * 200000
Work = 100000 Nm or Joules
Therefore, the work done when a force is applied to the spring resulting in an extension of 20m is 100000 Nm or Joules.
Work = 0.5 * k * x^2
Where:
k = stiffness of the spring = 500 N/m
x = extension of the spring = 20 m
Plugging in the values, we get:
Work = 0.5 * 500 * (20)^2
Work = 0.5 * 500 * 400
Work = 0.5 * 200000
Work = 100000 Nm or Joules
Therefore, the work done when a force is applied to the spring resulting in an extension of 20m is 100000 Nm or Joules.
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