A 0.32kg mass is attached to a spring and oscillates back and forthon a friction

Question

A 0.32kg mass is attached to a spring and oscillates back and forthon a frictionless horizontal surface. At the moment show in thefigure below, the mass is somewhere between the equilibrium pointof the spring and the amplitude of the oscillation and has a totalmechanical energy of 7J.

a) What is the maximum energy of the spring as it oscillates backand forth?
i. Less than 7J
ii. Equal to 7J
iii. Greater than 7J

b) What is the maximum potential energy of the spring as itoscillates back and forth?
i. Less than 7J
ii. Equal to 7J
iii. Greater than 7J

answers:
a) ii
b) ii
Looking for an explanation to the answers. Mathematical or soundreasoning - will rate!!

Explanation / Answer

mass m = 0.32 kg mechanical energy E = 7 J (a). 7 J (b). 7 J Since it is frictionless surface .So, there is no loss ofenergy . Theefore from law of conservation energy total energy isconstant at any where.

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