The kinetic energy of an object is equal to the work done on it to make it acquire its velocity. In other words, the amount of work done on an object is directly proportional to its kinetic energy.
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The relationship between work done (W) and kinetic energy (KE) is expressed by the work-energy theorem. According to this principle, the net work done on an object is equal to the change in its kinetic energy. Mathematically, W = ΔKE, where ΔKE represents the change in kinetic energy. When work is done on an object, transferring energy to or from it, its kinetic energy is altered accordingly. For example, if work is done to accelerate an object, its kinetic energy increases. Conversely, if work is done to decelerate or stop the object, its kinetic energy decreases, highlighting the dynamic connection between work done and kinetic energy.