Answer:
The elastic potential energy stored in a spring can be calculated using the formula:
E = (1/2) kx^2
where E is the elastic potential energy, k is the spring constant, and x is the displacement of the spring from its equilibrium position.
Plugging in the given values, we get:
E = (1/2) (80 N/m) (0.1 m)^2
E = (1/2) (80 N/m) (0.01 m^2)
E = 0.4 J
Therefore, the elastic potential energy stored in the spring when it is compressed by 0.1m is 0.4 J.