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In physics, energy and motion are closely related concepts. Here's how they are connected:

1. Kinetic Energy and Motion: When an object is in motion, it possesses kinetic energy. The amount of kinetic energy that an object has is directly related to its mass and its velocity. For example, a moving car has kinetic energy due to its motion.

2. Potential Energy and Motion: Potential energy is stored energy that an object possesses based on its position or state. When this potential energy is released, it can be converted into kinetic energy, resulting in motion. An example of this is a roller coaster at the top of a hill. It has potential energy due to its height, and as it goes down the hill, this potential energy is converted into kinetic energy, causing motion.

3. Work and Motion: Work is done when a force is applied to an object, causing it to move a certain distance. This work results in the object gaining energy, which then leads to motion. For instance, when you push a box across the floor, you are doing work on the box, transferring energy to it and causing it to move.

4. Conservation of Energy: The principle of conservation of energy states that energy cannot be created or destroyed, only transferred or transformed. This means that in any system involving motion, the total energy (kinetic, potential, etc.) remains constant, even as it changes form during motion.

Understanding how energy and motion are related helps in analyzing and predicting the behavior of objects in motion, as well as in various practical applications in physics and engineering.