The spring constant in the force-voltage analogy is analogous to the reciprocal of capacitance.

Explanation:
In the force-voltage analogy, electrical elements are represented by mechanical elements to help visualize and understand their behaviors. In this analogy, force is analogous to voltage, and displacement is analogous to current.

In the case of a spring-mass system, the force exerted by the spring is proportional to the displacement of the mass. This relationship is described by Hooke's Law:

F = k * x

Where:
F is the force applied by the spring,
k is the spring constant, and
x is the displacement of the mass.

Similarly, in an electrical circuit, the voltage across a capacitor is proportional to the charge stored in the capacitor. This relationship is described by the equation:

V = Q / C

Where:
V is the voltage across the capacitor,
Q is the charge stored in the capacitor, and
C is the capacitance of the capacitor.

Comparing the equations of the spring-mass system and the capacitor, we can see that the force exerted by the spring (F) is analogous to the voltage across the capacitor (V), the displacement of the mass (x) is analogous to the charge stored in the capacitor (Q), and the spring constant (k) is analogous to the reciprocal of the capacitance (1/C).

Therefore, the spring constant in the force-voltage analogy is analogous to the reciprocal of capacitance (1/C).

In summary:
- Force in the spring-mass system is analogous to voltage in the electrical circuit.
- Displacement of the mass is analogous to charge stored in the capacitor.
- Spring constant is analogous to the reciprocal of capacitance.