The total energy of a spring-mass system is E₀ when the spring is extended to a maximum displacement of x₀. If the maximum displacement is changed to 2x₀, the total energy of the system is A) 4 E₀. B) 2 E₀. C) E₀. D) (1/2) E₀.

Question

Quizplus · Accepted Answer

The total energy in a spring-mass system is proportional to the square of the displacement (x) from its equilibrium position, given by the formula $E = \frac{1}{2}kx^2$, where $k$ is the spring constant. Doubling the displacement ($2x$) increases the energy by a factor of $2^2 = 4$, making the total energy $4E$.

The Total Energy of a Spring-Mass System Is E0 When

The Total Energy of a Spring-Mass System Is E₀ When