Two identical objects,each with a mass M,are attached to each other via a spring with a spring constant k.The two objects are oscillating such that one is always moving in the opposite direction and with the same speed as the other.If the two objects were made to oscillate with a higher amplitude,
A)the average kinetic energy of each object would increase.
B)the average potential energy of the spring would increase.
C)the total mechanical energy would increase.
D)All of the above

Question

Quizplus · Accepted Answer

When the two identical objects are made to oscillate with a higher amplitude, the maximum displacement of each object from its equilibrium position increases. This results in an increase in the maximum potential energy stored in the spring. As the objects move faster, their kinetic energy also increases, leading to an increase in the total kinetic energy. Therefore, both the average potential energy and average kinetic energy of each object increase, resulting in an overall increase in total mechanical energy. Hence, all of the above options are correct.

Two Identical Objects,each with a Mass M,are Attached to Each