The period is √2 *T if the mass is doubled to 2m.
What is the time period?
The time period is the length of time during which an activity occurs or a condition remains.
The equation for the period T is given as:
[tex]T = 2\pi \sqrt{\frac{m}{k} }[/tex]
where k is the spring constant
mass of the system = m
Here,
If the mass id doubled to 2m for the system that is set in motion,
new mass is now 2m
So the equation for time period becomes,
[tex]T' = 2\pi \sqrt{\frac{2m}{k} }[/tex]
[tex]T' = \sqrt{2} * 2\pi \sqrt{\frac{m}{k} }[/tex]
[tex]T' = \sqrt{2}* T[/tex]
Hence,
The period is √2 *T if the mass is doubled to 2m.
Learn more about the time period here:
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