Ablock spring system oscillates on a frictionless surface with an amplitude of 10\text{ cm}10 cm and has an energy of 2.5 \text{ j}2.5 j. if the block is replaced by a block with twice the mass of the original block and the amplitude of the motion is 6 \text{ cm}6 cm, what is the energy of the system.

The energy of the system is 15 J.

Explanation:

Given that,

Energy E = 2.5 J

Amplitude = 10 cm

We need to calculate the spring constant

Using formula of mechanical energy of the system

Put the value into the formula

If the block is replaced by a block with twice the mass of the original block

Amplitude = 6 cm

We need to calculate the energy

Using formula of mechanical energy

Put the value into the formula

Hence, The energy of the system is 15 J.

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