Which describes how the spring constant affects the potential energy of an object for a given displacement from an equilibrium position?
a.)the higher the spring constant, the greater the gravitational potential energy.
b.)the lower the spring constant, the greater the gravitational potential energy.
c.)the higher the spring constant, the greater the elastic potential energy.
d.)the lower the spring constant, the greater the elastic potential energy.

The correct answer to the question is : C) The higher the spring constant, the greater the elastic potential energy.

EXPLANATION:

Before going to answer this question, first we have to understand the potential energy.

The potential energy of a body is defined as the energy gained by the body due to its position or change in configuration.

The potential energy of a body due to its position from the surface of earth is known as gravitational potential energy. The potential energy gained by the body due to its change in configuration is known as elastic potential energy.

Hence, in case of spring, the potential energy is elastic in nature as there is change in configuration.

The elastic potential energy of a spring having spring constant k and stretched to a distance x from the equilibrium position is calculated as-

       Elastic potential energy P.E = .

Hence, more is the spring constant, more is the elastic potential energy.

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