Question

3.
4 where is the girls ke changing to pe?
what is the law of conservation of energy?
how are potential and kinetic energy related to each other?

Explanation:

For "What is the law of conservation of energy?"

The law of conservation of energy states that energy cannot be created or destroyed, only transformed from one form to another (e.g., potential to kinetic, kinetic to thermal) or transferred between systems, with the total energy of an isolated system remaining constant.

Potential energy (PE, stored energy, e.g., due to position) and kinetic energy (KE, energy of motion) are interconvertible. For example, in a pendulum or a falling object, as PE (e.g., gravitational PE) decreases, KE increases (and vice versa), while the total mechanical energy (PE + KE, ignoring non - conservative forces like friction) remains constant (conservation of mechanical energy, a subset of the law of conservation of energy).

On a swing, as the girl moves from the lowest point (maximum KE, minimum PE) to the highest point of her swing arc, her speed decreases (KE decreases) and her height above the lowest point increases (gravitational PE increases). So, the KE is changing to PE as she moves upward toward the peak of each swing.

Answer:

Energy cannot be created or destroyed, only transformed/transferred; total energy in an isolated system is constant.

For "How are potential and kinetic energy related to each other?"