what happens to the gravitational energy of a firefighter when he slides down the firepoles?

The gravitational energy decreases.

because P.E.= m*g*h

The lost potential energy turns into kinetic energy and heating of the pole (and his hands) if he uses friction to slow down his slide.

When a firefighter slides down a fire pole, the potential gravitational energy they possess at the top is converted into other forms of energy. Let's break down what happens step-by-step:

1. Initial Position: When the firefighter is at the top of the fire pole, they have a certain height above the ground, which gives them potential gravitational energy. It is the energy stored in an object due to its vertical position in a gravitational field.

2. Sliding Down: As the firefighter releases themselves and starts sliding down the pole, their potential energy gradually decreases. This is because they are descending from a higher position to a lower position.

3. Conversion of Energy: The decrease in potential gravitational energy is accompanied by an increase in kinetic energy. Kinetic energy is the energy an object possesses due to its motion. As the firefighter accelerates downwards, their kinetic energy increases.

4. Effects of Friction: While sliding down the fire pole, the firefighter encounters friction, which acts against their motion. The friction between the firefighter's clothing and the pole, as well as the resistance due to air, convert some of the kinetic energy into heat energy. However, the overall effect of friction is relatively small compared to the energy conversion from potential to kinetic.

5. Reaching the Bottom: When the firefighter reaches the bottom of the fire pole, their potential energy is nearly zero. Most of the original gravitational energy has been converted into kinetic energy, and a small fraction into heat energy due to the effects of friction.

In summary, the gravitational energy of a firefighter is converted into kinetic energy as they slide down the fire pole, with a minor amount lost to heat due to friction.