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Hooke's Law is a principle that describes how elastic materials behave when they are stretched or compressed. In this article, you will learn how to use Hooke's Law to calculate the force, displacement, and spring constant of a spring system. You will also see some examples and applications of Hooke's Law in physics. Khan Academy is a free online platform that offers courses in various ...
Figure 5.7.9 5.7. 9: A spring exerts its force proportional to a displacement, whether it is compressed or stretched. (a) The spring is stretched by displacement x x → and exerts a restoring force F s = −kx F → s = − k x → (b) The spring is in a relaxed position and exerts no force on the block.
Possible Answers: Correct answer: Explanation: There are two ways to solve this problem: the first involves calculating the spring constant and the second does not. We'll go through both methods. Calculating Spring Constant. We can use the expression for the force of a spring: At equilibrium, the force of the spring equals the force of gravity:
Figure 5.5 The force exerted by a stretched spring can be used as a standard unit of force. (a) This spring has a length x when undistorted. (b) When stretched a distance Δx, the spring exerts a restoring force →Frestore, which is reproducible. (c) A spring scale is one device that uses a spring to measure force.
6 days ago · Let's consider the spring constant to be -40 N/m. Then the applied force is 28N for a 0.7 m displacement. The formula to calculate the applied force in Hooke's law is: F = -kΔx. where: F is the spring force (in N); k is the spring constant (in N/m); and Δx is the displacement (positive for elongation and negative for compression, in m).
the spring force is F, the equilibrium position is x o the displacement of the spring from its position at equilibrium is x, the spring constant is k. The negative sign tells that the visualized spring force is a restoring force and acts in the opposite direction. Spring Force Solved Problems. Problem 1: A spring has length 22 cm/s. If it is ...
