A 0.415-kg mass suspended from a spring undergoes simpleharmonic oscillations with a period of 1.4 s. How much mass, inkilograms, must be added to the object to change the period to2.2 s?

Question

Wayne Cummings

Physics

23 February, 11:35

A 0.415-kg mass suspended from a spring undergoes simpleharmonic oscillations with a period of 1.4 s. How much mass, inkilograms, must be added to the object to change the period to2.2 s?

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Answers (1)

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Bridge · Answer 1

m=0.893kg

Explanation:

time period of oscillations is given by = 2π√ (m/k)

m: mass of the object

k: spring constant

when T=1.5 and m=0.415

1.5 = 2π√ (0.415/k)

k = 7.27 N/m

when T = 2.2s

2.2 = 2π√ (m/7.27)

m=0.893kg