A block is on a frictionless table and at point A. The spring launches the Block long spring at the spring s natural longthal point at point C and is slightly abone the graphs best represents,the medianical function of time? o

## Step1: Identify the System<br />### The system consists of a block and a spring. Initially, the block is at rest, and the spring is compressed. As the spring releases, it transfers energy to the block.<br />## Step2: Analyze Energy Transformation<br />### At point A, all energy is potential energy stored in the spring. As the spring decompresses, this potential energy converts into kinetic energy of the block until the spring reaches its natural length at point B.<br />## Step3: Consider Frictionless Motion<br />### Since the table is frictionless, no energy is lost as heat. Thus, the total mechanical energy remains constant throughout the motion from point A to point C.<br />## Step4: Evaluate Energy After Separation<br />### Once the block leaves the spring at point B, the spring has no energy, and all energy is now kinetic energy of the block. This energy remains constant as the block moves to point C.<br />## Step5: Graphical Representation<br />### The graph representing the mechanical energy of the block-spring system as a function of time should show a constant value, indicating that the total mechanical energy does not change over time.