The table lists three separate friction-free spring–mass systems that oscillate along a horizontal line.
System | Mass m (kg) | Spring constant k (N/m)
A | 0.20 | 40
B | 0.30 | 60
C | 0.50 | 25
a. Rank the three systems from longest period to shortest period. Clearly indicate any ties.
b. Provide a concise justification for your ranking that refers explicitly to the way the period depends on both mass and spring constant.