The restoring force of a spring, with a block attached to the free end of the spring, is represented by:
A
B
C
4
D
F=−kx
Step-by-Step Solution
Hooke's Law: The force exerted by a spring (restoring force) when it is compressed or stretched is directly proportional to the displacement from its equilibrium position and acts in the direction opposite to the displacement.
Mathematical Representation: According to Source 135 and Source 145, this force is given by the equation Fs=−kx, where:
Fs is the restoring force.k is the spring constant (or force constant).
x is the displacement from the mean position. The negative sign indicates that the force is restoring, i.e., it opposes the displacement.
Conclusion: The correct representation for the restoring force of a spring is F=−kx. (Note: Assuming Option 4 contained the correct formula based on the 'Probable Answer').
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