Which of the following would make the period longer? a) Increase the amplitude Decrease the mass b) Decrease the amplitude Increase the mass c) Decrease the spring constant Increase the spring constant

b) Decrease the amplitude Increase the mass.

Step-by-step explanation:

The period does not depend on the amplitude. The period depends on the spring constant, k and the mass, m.

Mathematically,

T = 2pi * sqrt (m/k)

The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same. Increasing the mass increases the period of oscillation.