A frictionless mass-spring system with mass M oscillates with a total mechanical

Question

A frictionless mass-spring system with mass M oscillates with a total mechanical energy of 4J when the amplitude is 5 cm. if the mass is reduced to M/2 and the system is again set to oscillate with an amplitude of 5 cm, the mechanical energy will be: A) 1J B) 2J C) 4J D) none of the above A frictionless mass-spring system with mass M oscillates with a total mechanical energy of 4J when the amplitude is 5 cm. if the mass is reduced to M/2 and the system is again set to oscillate with an amplitude of 5 cm, the mechanical energy will be: A) 1J B) 2J C) 4J D) none of the above A) 1J B) 2J C) 4J D) none of the above

Explanation / Answer

whem mass is M , Emergy E = 0,5 KA^2

where K = (mg)/x

so when M is reduced by 2

K also reduces by 2

so,

Energy E = 0.5 * (0.5 KA^2)

E = 4/2 = 2 J

so Obtion B it is

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