If we double only the amplitude of a vibrating ideal mass-and-spring system,the mechanical energy of the system

Question

Quizplus · Accepted Answer

The mechanical energy of a vibrating mass-and-spring system is given by E = (1/2)kA^2, where k is the spring constant and A is the amplitude of vibration. Doubling the amplitude A would result in an increase in energy by a factor of 4 (2^2), assuming the spring constant k remains constant. Therefore, the correct answer is (D) "increases by a factor of 4."

If We Double Only the Amplitude of a Vibrating Ideal