Question
Question: A spring mass system, arranged on a horizontal frictionless surface, is executing simple harmonic mo...
A spring mass system, arranged on a horizontal frictionless surface, is executing simple harmonic motion of an amplitude 20 cm. When it is momentarily at rest at one of the extreme end of the motion, another identical mass is added to the first one. The two masses continue the oscillations together. When these are passing through equilibrium position, their speed is

A
4m/s
B
2 m/s
C
2√2 m/s
D
√2 m/s
Answer
2√2 m/s
Explanation
Solution
Energy of the system is not changed as the mass is added at the extreme end, when the mass at rest momentarily in initial motion,