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If anyone is confused by the format of the questions, here you go
1.the energy of motion
2.The lake will have more total thermal energy, but the particles in the coffee will be moving faster.
3.The gallium atoms will gain potential energy, moving freely from each other.
4. a drop of water at 90°C
5.The particles can gain potential and kinetic energy.

kinetic energy, form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy. Kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass. The kind of motion may be translation (or motion along a path from one place to another), rotation about an axis, vibration, or any combination of motions.
Translational kinetic energy of a body is equal to onehalf the product of its mass, m, and the square of its velocity, v, or 1/2mv2.

This is the mathematical representation of kinetic energy, where m is the mass of the object and v is its velocity. The unit of kinetic energy is joules (J). It is a scalar quantity, which means it has only magnitude and no direction.
In everyday life, we can observe the effects of kinetic energy in various phenomena, such as the motion of a ball, a car, or a roller coaster. The faster an object moves, the more kinetic energy it possesses. Similarly, a heavier object moving at the same speed as a lighter object will have more kinetic energy due to its greater mass.
The concept of kinetic energy is essential in many areas of science and engineering, including mechanics, thermodynamics, and electromagnetism. It is also important in understanding the behavior of particles and molecules in various chemical and physical processes.


Also put like this
kinetic energy, form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy. Kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass. The kind of motion may be translation (or motion along a path from one place to another), rotation about an axis, vibration, or any combination of motions.
Translational kinetic energy of a body is equal to onehalf the product of its mass, m, and the square of its velocity, v, or 1/2mv2.

Kinetic energy is the energy an object or particle possesses due to its motion. If work is done on an object by applying a net force, it speeds up and gains kinetic energy. This energy depends on both the mass and motion of the object, which includes translation, rotation, and vibration.
The translational kinetic energy of an object is calculated by multiplying half its mass with the square of its velocity or 1/2mv^2, where m is the mass and v is the velocity. This energy is a scalar quantity, meaning it has only magnitude and no direction.
Understanding kinetic energy is crucial in various scientific fields, like mechanics, thermodynamics, and electromagnetism. It also plays a vital role in comprehending the behavior of particles and molecules in different chemical and physical processes.

No offense bot but you do not seem to be helping

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