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When a conservative force does positive ...

When a conservative force does positive work on a body, the potential energy of the body

A

Increases

B

Decreases

C

Remains unaltered

D

Can't say

Text Solution

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The correct Answer is:
To solve the question, "When a conservative force does positive work on a body, what happens to the potential energy of the body?", we can analyze the relationship between work done by conservative forces and potential energy. ### Step-by-Step Solution: 1. **Understanding Conservative Forces**: - A conservative force is one where the work done by the force on an object moving from one point to another is independent of the path taken. Common examples include gravitational and elastic (spring) forces. 2. **Work Done by Conservative Forces**: - When a conservative force does positive work on an object, it means that the force is acting in the direction of the displacement of the object. This typically results in the object gaining kinetic energy. 3. **Relationship Between Work and Potential Energy**: - The work-energy principle states that the work done by a force on an object is equal to the change in kinetic energy of that object. For conservative forces, the work done is also related to the change in potential energy. - Mathematically, this can be expressed as: \[ W = \Delta KE + \Delta PE \] - Where \( W \) is the work done, \( \Delta KE \) is the change in kinetic energy, and \( \Delta PE \) is the change in potential energy. 4. **Analyzing Positive Work**: - If the conservative force (like gravity) does positive work, it implies that the object is moving to a position of lower potential energy. For example, if an object falls under the influence of gravity, it moves downward, and gravity does positive work on it. 5. **Conclusion on Potential Energy**: - Therefore, when a conservative force does positive work on a body, the potential energy of the body **decreases**. This is because the energy is being converted into kinetic energy or some other form of energy. ### Final Answer: When a conservative force does positive work on a body, the potential energy of the body **decreases**.
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