A spring has a period of 1 s when a 0.200 kg mass hung from the end of it. If the mass at the end is changed to 0.100 kg, will the period change?

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When the mass of the spring changed from 0.2kg to 0.1kg, the time period changed from 1 sec to 0.5 secondsExplanation:Given-

Mass, m1 = 0.2kg

Time period, T1 = 1s

m2 = 0.1 kg

T2 = ?

We know,

where,

T = Time period

m = mass

k = spring constant

From the equation, we can see that T is directly proportion to the square root of mass, m

T ∝ √m

So,

If m1 = 0.2kg , T1 = 1s and m2 = 0.1kg

The T2 would be:

Therefore, when the mass of the spring changed from 0.2kg to 0.1kg, the time period changed from 1 sec to 0.5 seconds