Two spring–mass systems have equal total mechanical energy

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

Two spring–mass systems have equal total mechanical energy. Their amplitudes are in the ratio

A_1:A_2 = 3:2

and their masses are equal. What is the ratio of their force constants

k_1:k_2

? (a)

2:3

(b)

9:4

(c)

4:9

(d)

3:2