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A mass is attached to a horizontal spring.  The mass oscillates along a frictionless surface.  When the mass...

A mass is attached to a horizontal spring.  The mass oscillates along a frictionless surface.  When the mass reaches is at a position halfway between the equilibrium at amplitude positions, what can you say about the potential and kinetic energies in comparison to their maximums.

The KE and PE are at 1/4 of their maximums.

The KE and PE are at half their maximums.

The KE is at 3/4 of its max and the PE is at 1/4 of its max.

The KE is at 1/4 of its max, and the PE is at 3/4 of its max

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Answer #1

Max PE = 0.5*K*A^2

This is total energy at any time.

At , x = A/2

PE = 0.5*K*(A/2)^2 = (0.5*K*A^2)/4 = 1/4 of maximum

Rest will be KE

So answer is:

The KE is at 3/4 of its max and the PE is at 1/4 of its max.

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