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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=kxF = -kx

Step-by-Step Solution

  1. 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.
  2. Mathematical Representation: According to Source 135 and Source 145, this force is given by the equation Fs=kxF_s = -kx, where: FsF_s is the restoring force. kk is the spring constant (or force constant). xx is the displacement from the mean position. The negative sign indicates that the force is restoring, i.e., it opposes the displacement.
  3. Conclusion: The correct representation for the restoring force of a spring is F=kxF = -kx. (Note: Assuming Option 4 contained the correct formula based on the 'Probable Answer').
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