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To define and calculate work, which formula is used?

  1. Mass x velocity

  2. Force x distance

  3. Power x time

  4. Force x time

The correct answer is: Force x distance

The formula used to define and calculate work is based on the fundamental principles of physics. Work is defined as the product of force applied to an object and the distance over which that force is applied in the direction of the force. Mathematically, this is expressed as work equals force multiplied by distance. This relationship highlights how work is accomplished when a force causes displacement, meaning that both the magnitude of the force and the distance moved play a crucial role in determining the total work done. For example, if someone is lifting a weight, the force exerted is equivalent to the weight of the object (mass times the acceleration due to gravity), and the distance represents how high the weight is lifted. This understanding is essential in a fitness context, where training often involves overcoming resistance and moving loads across distances. The alternatives provided do not accurately represent the definition of work. Mass times velocity relates to momentum, power times time calculates energy, and force times time can relate to impulse, which further illustrates their distinction from the concept of work. Thus, the correct formula for calculating work is indeed force multiplied by distance.