When the spring along with the block is set into vertical motion, there is changes in the potential energy and kinetic energy but the total energy of the system remains same.
The block connected to a spring is set to a vertical motion from rest. Assume that the air resistance is ignored.
(I) When the block is at rest, its kinetic energy = 0
So the total energy in the system is comprised of the mechanical potential energy and the gravitational potential energy. But as the height of the block from earth is minimum, the gravitational potential energy is minimum.
(II) When block is in the middle of the motion, It kinetic energy is at the maximum due to the high velocity.
The potential energy stored in the block and the gravitational energy due to the height comprises the remaining energy of the system.
(III) When the block is at the top, the height is maximum from the ground.
So the gravitational potential energy is maximum. Since the velocity of the motion becomes almost zero at the top, the kinetic energy is minimum. The remaining energy in the system will be the potential energy stored in the block.
So in these three stages, although the potential energies and the kinetic energy changes, the total energy of the system remains same throughout the motion.
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