To calculate the weight displacement of a spring, we find the distance the sprin

Question

To calculate the weight displacement of a spring, we find the distance the spring needs to be stretched so that the gravitational force is exactly equal to the restoring force of the spring. This is also the same value that will give you the sum of forces equal to zero. (a) What is the weight displacement of a spring with spring constant 10 N/m that has a 1 kg mass at the end? (b) What is the weight displacement of a spring with a spring constant of 25 N/m that has a 5 kg mass at the end? (c) What is the weight displacement of a spring on the moon (g = 1.62 m/s2) with a spring constant 5 N/m that has a 1 kg mass at the end?

Explanation / Answer

a) kx = mg

weight displacement = x = mg/k = 1 m (taking g = 10m/s^2)

b)weight displacement = x = mg/k = 5*10/25 = 2 m

c) weight displacement  =x = mg/k = 1*1.62/5 = 0.324 m

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