Did you know?
Did you know that the spring constant is a measure of how stiff a spring is? In the given scenario, a force of 10 Newtons caused the spring to extend by 20 millimeters. By using Hooke's Law (F = kx), where F is the force, k is the spring constant, and x is the extension, we can find that the spring constant of this spring is 0.5 N/m. Now, if a force of 25 Newtons is applied, we can use the same formula to determine that the extension of the spring would be 50 millimeters. Lastly, to find the force needed to produce an extension of 5 millimeters, we rearrange the formula as x = F/k to solve for force. By substituting the values, we find that a force of 1 N is required to cause the desired extension. Understanding the spring constant helps in analyzing the behavior of springs and predicting their responses to external forces.
