If you slide down a rope, it's possible to create enough...

If you slide down a rope, it's possible to create enough thermal energy to burn your hands or your legs where they grip the rope. Suppose a $40 \mathrm{kg}$ child slides down a rope at a playground, descending $2.0 \mathrm{m}$ at a constant speed. How much thermal energy is created as she slides down the rope?

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Key Concepts

Energy Conversion

Energy conversion refers to the process by which one form of energy is transformed into another. As the child slides down the rope, the gravitational potential energy lost during her descent is not wasted; instead, it is converted into thermal energy because of friction between her hands or legs and the rope, illustrating a practical example of energy transformation.

Work-Energy Principle

The work-energy principle states that the work done on an object is equal to the change in its energy. In this scenario, the constant speed of descent indicates that any decrease in gravitational potential energy is matched by the work done against friction, which is converted into thermal energy. This principle helps explain how energy is redistributed during the motion without causing an acceleration.

Gravitational Potential Energy

Gravitational potential energy is the energy stored in an object due to its position in a gravitational field. When an object descends in altitude, it loses potential energy, and this energy can be converted into other forms. In the context of this problem, the decrease in gravitational potential energy of the child is the source of energy that is transformed into thermal energy due to friction.

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