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Understanding Kinetic Energy and Work in Mechanics

Explore kinetic energy, work, power, and the energy conservation principle in mechanics. Learn to apply the work-kinetic energy theorem to solve various problems. Simplify mechanics by using scalars like work and kinetic energy. Discover the concept of energy transformation and conservation.

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Understanding Kinetic Energy and Work in Mechanics

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  1. Chapter 7 Kinetic Energy and Work In this chapter we will introduce the following concepts: Kinetic energy of a moving object Work done by a force Power In addition, we will develop the work-kinetic energy theorem and apply it to solve a variety of problems. This approach is an alternative approach to mechanics. It uses scalars such as work and kinetic energy rather than vectors such as velocity and acceleration. Therefore it is simpler to apply.

  2. Energy Principle of energy conservation: Energy can be transformed from one type to another and transferred from one object to another, but the total amount is always the same (energy is conserved). No exception to this has ever been found. Think of the many types of energy as being numbers representing money in many types of bank accounts. Rules have been made about what such money numbers mean and how they can be changed. You can transfer money numbers from one account to another or from one system to another. However, the total amount (the total of all the money numbers) can always be accounted for: It is always conserved.

  3. 7.3   Kinetic Energy Kinetic energyK is energy associated with the state of motion of an object. The faster the object moves, the greater is its kinetic energy. When the object is stationary, its kinetic energy is zero. For an object of mass m whose speed v is well below the speed of light, the kinetic energy is: kinetic Energy is a scalar. The SI unit of kinetic energy (and every other type of energy) is the joule (J).

  4. Problem-5, Page 159 A father racing his son has half the kinetic energy of the son, who has half the mass of the father. The father speeds up by 1.0 m/s and then has the same kinetic energy as the son. What are the original speeds of (a) the father and (b) the son?

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