On a slide a child has a potential energy that decreases by 1000 J while her kinetic erergy increases by 900 J. What other form of energy is involved and how much?

some of the potential energy was lost to heat through friction. If there were no friction the gain in ke would equal the loss in pe.

100 J of friction

To determine the other form of energy involved, we can use the law of conservation of energy, which states that energy cannot be created or destroyed, only transformed from one form to another.

In this case, the potential energy of the child decreases by 1000 J and her kinetic energy increases by 900 J. Since the total energy remains constant, we can find the energy difference between the initial and final states.

The change in potential energy is -1000 J (negative sign indicates a decrease), and the change in kinetic energy is +900 J (positive sign indicates an increase).

To find the other form of energy, we can calculate the energy difference:

Change in Energy = Change in Potential Energy + Change in Kinetic Energy

Change in Energy = -1000 J + 900 J
Change in Energy = -100 J
Change in Energy = -100 J

The negative sign indicates that there is a loss of 100 J of energy. Therefore, the other form of energy involved in this scenario is dissipated as thermal energy, also known as heat. The child's slide experience involves a loss of 100 J of energy in the form of heat.