Question

A mass on a spring oscillates with a certain amplitude and a certain period T. If the mass is doubled, the spring constant of the spring is doubled, and the amplitude of motion is doubled, the period:

Answer 1

Answer:

The period stays the same.

Explanation:

The period "T" of a oscilating system composed by a amss on a spring is described by the following equation:

$T=2\pi *\sqrt{\frac{m}{k}}$

Where 'm' is the mass and 'k'is the spring constant.

From the equation, changes in amplitude don't interfere in the period. If both 'm' and 'k' are doubled:

$T'= 2\pi *\sqrt{\frac{2m}{2k}}\\ T'= 2\pi *\sqrt{\frac{m}{k}}\\T' = T$

The period stays the same.