A ball is attached to an ideal spring and oscillates with a period T. If the mass of the ball is doubled, what is the new period?
A)2T
B)T/2
C)T
D)T $\sqrt { 2 }$
E)T/ $\sqrt { 2 }$

Question

Quizplus · Accepted Answer

The period of a mass-spring system is given by $ T = 2\pi \sqrt{\frac{m}{k}} $. If the mass $ m $ is doubled, the new period $ T' = 2\pi \sqrt{\frac{2m}{k}} = T \sqrt{2} $.

A Ball Is Attached to an Ideal Spring and Oscillates 2\sqrt { 2 }2​

A Ball Is Attached to an Ideal Spring and Oscillates $\sqrt { 2 }$