A 20 kg child slides down a 3.0-m -high playground slide. She starts from rest, and her speed at

step 1 Hello everyone. In this problem, we're asked to find out what kind of energy transformations are

A 20 kg child slides down a 3.0-m -high playground slide....

A $20 \mathrm{kg}$ child slides down a $3.0-\mathrm{m}$ -high playground slide. She starts from rest, and her speed at the bottom is $2.0 \mathrm{m} / \mathrm{s}$. a. What energy transfers and transformations occur during the slide? b. What is the total change in the thermal energy of the slide and the seat of her pants?

A $20 \mathrm{kg}$ child slides down a $3.0-\mathrm{m}$ -high playground slide. She starts from rest, and her speed at the bottom is $2.0 \mathrm{m} / \mathrm{s}$.
a. What energy transfers and transformations occur during the slide?
b. What is the total change in the thermal energy of the slide and the seat of her pants?

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Key Concepts

Gravitational Potential Energy

This is the energy stored by an object due to its position within a gravitational field. In scenarios like the slide, an object at a higher elevation possesses gravitational potential energy that can be converted into other forms as it moves downward.

Kinetic Energy

Kinetic energy is the energy an object has due to its motion. As the child descends, the gravitational potential energy is partly transformed into kinetic energy, which is observable in the child’s increasing speed.

Friction and Thermal Energy

Friction is a non-conservative force that converts some of the mechanical energy into thermal energy. In the context of a slide, friction between the child’s clothing and the slide transforms a portion of the potential and kinetic energy into heat, warming both surfaces.

Energy Conservation

The principle of energy conservation states that energy cannot be created or destroyed but only transformed from one form to another. In the process of sliding, although energy changes forms—from potential to kinetic and thermal—the total energy remains constant within the system.

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