Sandra is riding a water slide at her favorite water park. At the top of the slide, she has 5,000 J of gravitational potential energy. After a few seconds, she has
1,928 J of gravitational potential energy. What is her kinetic energy at this point,
in J?

3072J

Explanation:

At all points through her slide, it is important to reiterate that energy is always conserved.

Kinetic energy is the energy due to the motion of a body.

Potential energy is the energy due to the position of a body.

Based on the law of conservation of energy, energy is neither created nor destroyed but simply transformed from one form to another.

 So;

At all points:

           Total energy  = Potential energy + Kinetic energy

Since the initial energy  = 5000J which is the potential energy

This is the total energy within the system as the kinetic energy at this point is 0;

 After a few seconds, the potential energy is 1928J;

  Kinetic energy  = Total energy  - potential energy  = 5000J  - 1928J

  Kinetic energy  = 3072J