An object that hangs from the ceiling of a stationary elevator by an ideal spring oscillates with a period T. If the elevator accelerates upward with acceleration 2g, what will be the period of Oscillation of the object?
A) T/4
B) T
C) 2T
D) 4T
E) T/2

Question

An object that hangs from the ceiling of a stationary elevator by an ideal spring oscillates with a period T. If the elevator accelerates upward with acceleration 2g, what will be the period of Oscillation of the object? 
A)  T/4 
B)  T 
C)  2T 
D)  4T 
E)  T/2

Quizplus · Accepted Answer

The period of oscillation of an object on a spring is given by $T = 2\pi\sqrt{\frac{m}{k}}$, where $m$ is the mass of the object and $k$ is the spring constant. This formula shows that the period $T$ is independent of the acceleration of the system, including gravity. Therefore, even if the elevator accelerates upward with acceleration $2g$, the period of oscillation $T$ remains unchanged.

An Object That Hangs from the Ceiling of a Stationary