A load of 55 N attached to a spring hanging vertically stretches the spring 5.0

Question

A load of 55 N attached to a spring hanging vertically stretches the spring 5.0 cm. The spring is now placed horizontally on a table and stretched 15 cm. (a) What force is required to stretch the spring by that amount? (Enter the magnitude of the force only.) ______ N
(b) Plot a graph of force (on the y-axis) versus spring displacement from the equilibrium position along the x-axis.
A load of 55 N attached to a spring hanging vertically stretches the spring 5.0 cm. The spring is now placed horizontally on a table and stretched 15 cm. (a) What force is required to stretch the spring by that amount? (Enter the magnitude of the force only.) ______ N
(b) Plot a graph of force (on the y-axis) versus spring displacement from the equilibrium position along the x-axis.
A load of 55 N attached to a spring hanging vertically stretches the spring 5.0 cm. The spring is now placed horizontally on a table and stretched 15 cm. (a) What force is required to stretch the spring by that amount? (Enter the magnitude of the force only.) ______ N
(b) Plot a graph of force (on the y-axis) versus spring displacement from the equilibrium position along the x-axis.

Explanation / Answer

First, let's find the spring constant k.

using hook's law, F = k*x
so k = F/x = 55N/0.05m = 1100 N/m.

now we can use this constant to find the force F when the stretch distance x is known.
F = k*x = 1100 * 0.15 = 165 N

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