A mass m is attached to a spring oscillate with a perio

A mass m is attached to a spring oscillate with a perio
| A mass 'm' is attached to a spring oscillate with a period of 2 seconds.  If the mass is increased by 3 kg, the period increased by 1 second.  Find the initial mass ‘m’ assuming Hook’s law is obeyed?
 

A. 2.4 kg

B. 5.6 kg

C. 1 kg

D. 3.4 kg

Please scroll down to see the correct answer and solution guide.

Right Answer is: A

SOLUTION

2=2π√mK.....(1)
Also 3=2π√m+3K.....(2)
Squaring (1) and (2) and dividing 49=mKK(m+3)
9m = 4m + 12;          
5m = 12;              
 m=125=2.4kg

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