The end point of a spring vibrates with a period of7.5 s when a mass m is attach

Question

The end point of a spring vibrates with a period of7.5 s when a mass m is attachedto it. When this mass is increased by 2.0kg, the period is found to be 11.5 s. Findthe value of m.
The only think i know is that the period (T) = 2(m/k) but i dont know how to find m without knowingk... pls help :) The end point of a spring vibrates with a period of7.5 s when a mass m is attachedto it. When this mass is increased by 2.0kg, the period is found to be 11.5 s. Findthe value of m.
The only think i know is that the period (T) = 2(m/k) but i dont know how to find m without knowingk... pls help :)

Explanation / Answer

for mass m, 2(m/k) = T = 7.5 for mass 2 kg, 2(2/k) = 11.5 dividing 1st equation by second, (m/2) = 7.5/11.5 m = 2(7.5/11.5)^2 = .85 Kg

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