Answer and Explanation:
A) When the weight is pulled back to its furthest extent, the weight has the highest potential energy. This is because at this point, the weight is furthest away from the center of the earth, and so the potential energy due to gravity is maximized.
B) At the bottom of the swing, the weight has the lowest potential energy. This is because at this point, the weight is closest to the center of the earth, and so the potential energy due to gravity is minimized.
C) When the weight is at its highest point on the other side of the swing, the weight has the highest kinetic energy. This is because at this point, the weight has the highest velocity, and kinetic energy is proportional to the square of the velocity.
D) When the weight is back at its original side, the weight has zero kinetic energy. This is because at this point, the weight has come to a stop and is no longer moving. However, the weight still has a non-zero potential energy due to the force of gravity.