restoring force setup by a string is given by F= -kx. my question is why the proportionality constant becomes negative?

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Solution

Dear student

The negative sign indicates that 'F' is a restoring force.
Since F and x both are vector quantities, the negative sign shows that the force is always acting in the direction opposite to the displacement.
It is by convention, in order to make k positive quantity, a negative sign was introduced.
Regards.

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