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Positive Work

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College Physics II – Mechanics, Sound, Oscillations, and Waves

Definition

Positive work is the work done by a force when the force and the displacement of the object are in the same direction. It represents the transfer of energy to the object, increasing its total mechanical energy.

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5 Must Know Facts For Your Next Test

  1. Positive work is represented by a positive value, indicating that energy is being transferred to the object.
  2. Positive work increases the total mechanical energy of the object, which can be in the form of kinetic energy or potential energy.
  3. The amount of positive work done is equal to the product of the force applied and the displacement of the object in the direction of the force.
  4. Positive work is a key concept in understanding the conservation of energy and the transformation of energy in various physical systems.
  5. Positive work is often associated with forces that are considered to be conservative, such as gravity or the tension in a stretched spring.

Review Questions

  • Explain the relationship between positive work and the total mechanical energy of an object.
    • Positive work represents the transfer of energy to an object, increasing its total mechanical energy. When a force acts on an object in the same direction as the displacement, the work done by that force is positive. This positive work increases the object's kinetic energy, potential energy, or a combination of both, depending on the nature of the force and the motion of the object.
  • Describe the conditions under which a force would do positive work on an object.
    • For a force to do positive work on an object, the force and the displacement of the object must be in the same direction. This means that the angle between the force and the displacement must be less than 90 degrees. If the force and displacement are in opposite directions, the work done by the force is negative. Positive work is typically associated with conservative forces, such as gravity or the tension in a stretched spring, where the work done is independent of the path taken by the object.
  • Analyze the role of positive work in the conservation of energy principle.
    • The conservation of energy principle states that the total energy of an isolated system is constant, and energy can neither be created nor destroyed, but rather transformed or transferred from one form to another. Positive work plays a crucial role in this principle by representing the transfer of energy to an object, increasing its total mechanical energy. This increase in mechanical energy is balanced by a corresponding decrease in other forms of energy, such as potential energy or kinetic energy, ensuring the conservation of the total energy of the system.
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