A 2 kg mass hangs motionless from a spring with spring constant 8 N/m. Howfar will the spring stretch if the mass is motionless?

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asked Apr 9, 2023 175k views

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A 2 kg mass hangs motionless from a spring with spring constant 8 N/m. Howfar will the spring stretch if the mass is motionless?

Physics
college

Enrique Fueyo asked

by Enrique Fueyo

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1 Answer

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$\begin{gathered} \text{Spring constant = K= 8N/m} \\ \text{mass}=\text{ m = }2\operatorname{kg} \\ \text{gravity = }g=9.81m/s^2 \\ stretch\text{ing = x =?} \\ \text{spring force = Kx} \\ Kx=mg \\ \text{Solving x} \\ x=(mg)/(K) \\ x=\frac{(2kg)(9.81m/s^2)}{\text{8N/m}} \\ x=2.4525m\approx2.45m \\ \text{The stretching is 2.45m} \end{gathered}$