Ablock attached to a spring with unknown spring constant oscillates with a period of 7.0 s .what is the period if the mass is doubled

The period is 9.9 seconds

Explanation:

The period (T) of a mass (m) attached to a spring with spring constant k is:

(1)

So, if the mas is M we have that:

(2)

Now if we double the mass:

(3)

Because spring constant doesn’t change, we note that the term on (3) is equal to the right side of (2), so we have:

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