A block rests on a horizontal, frictionless table. It is attached to a spring an

Question

A block rests on a horizontal, frictionless table. It is attached to a spring and set into motion. The picture above shows snapshots of the block at 5 different labelled locations during the motion. The two extreme locations (Points E and B) represent the two extremes of the motion of the block. Point C represents the equilibrium position. Evaluate each statement below.

Positive Zero Negative  The potential energy of the spring at location C is ____.
Positive Zero Negative  The kinetic energy of the block at location C is ____.
Positive Zero Negative  The potential energy of the spring at location B is ____.
Positive Zero Negative  The kinetic energy of the block at location A is ____.
Positive Zero Negative  The kinetic energy of the block at location E is ____.

Explanation / Answer

From conservation of energy

At Point E & D, Kinetic Energy will be zero .
At Point C, Spring potential energy will be zero .so

The potential energy of the spring at location C is Zero.

The kinetic energy of the block at location C is Positive

The potential energy of the spring at location B is Positive

The kinetic energy of the block at location A is Zero.

The kinetic energy of the block at location E is Positive.

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