Question

An object of mass m is hung from a spring and set into oscillation.The period of the oscillation is measured and recorded as T. The object of mass m is removed and replaced with an object of mass 2m. When this object is set into oscillation, what is the period of the motion? ​

Answer 1

Answer:

answer in attachment

Answer 2

we will use the formula

$T=2\pi \sqrt{\frac{m}{k} }$

$k= \frac{4\pi ^{2} m }{T^{2} }$

$T_{new}=2\pi \sqrt{\frac{2m}{k} }$

        $=2\pi \sqrt{\frac{2mT^{2} }{4\pi ^{2}m } }$

therefore

$T_{new}=T\sqrt{2}$

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