Question

A mass M attached to a light spring oscillates with a period of 2 seconds. If the mass is increased by 2 kg the period increases by 1 second. What is the value of M?

• A. 1.0 kg
• B. 1.6 kg
• C. 2.0 kg
• D. 2.4 kg

Answer 1

The correct option is B 1.6 kg

T = $2\pi \sqrt{\frac{M}{k}}=2sand{T}^{\prime }=2\pi \sqrt{\frac{M+2}{k}}=3$
which give $\sqrt{\frac{M+2}{M}}=\frac{3}{2}Or\frac{M+2}{M}=\frac{9}{4}OrM=1.6kg$
Hence the correct choice is (b).