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A block is attached to a horizontal spring and oscillates back and forth on a frictionless...

A block is attached to a horizontal spring and oscillates back and forth on a frictionless horizontal surface at a frequency of 3.00 Hz, with an amplitude of 5.08 x 10-2m. At the point where the block has its maximum speed, it splits into two identical (equal-mass) blocks and only one of these remains attached to the spring.

A. What is the amplitude and frequency of the simple harmonic motion of the piece that remains attached to the spring?

B. Write the equation for the displacement x of that piece from that moment onwards, assuming the split happened as the block was moving towards the positive x direction.

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