Final answer:
The work done on a spring to give it elastic potential energy is determined by the equation for potential energy of a spring. Without additional information, we cannot determine the specific amount of work done on the spring.
Step-by-step explanation:
The work done on a spring to give it a certain amount of elastic potential energy is determined by the equation for potential energy of a spring, which is given by:
Potential energy of a spring = (1/2) * k * x^2
Where:
- k is the spring constant (also known as the force constant),
- x is the displacement or stretch/compression of the spring from its equilibrium position.
In this case, the question states that the spring has 100 J of elastic potential energy. To find the work done on the spring, we need to rearrange the equation:
Work done = (1/2) * k * x^2
Given that the elastic potential energy is 100 J, we substitute this value in the equation:
100 J = (1/2) * k * x^2
To find the work, we need to know either the spring constant k or the displacement x.
Without additional information, we cannot determine the specific amount of work done on the spring.