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QuestionPhysics

A rubber band is stretched and then released. According to the law of conservation of energy, what happens when the rubber band is released? A. The total amount of energy increases. B. The total amount of energy decreases. C. The total amount of energy remains the same. D. The total amount of energy is lost as heat.
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Step 1:
Let's solve this problem step by step:

Step 2:
: Understand the Law of Conservation of Energy

The law of conservation of energy states that energy cannot be created or destroyed, only transformed from one form to another. In a closed system, the total energy remains constant.

Step 3:
: Analyze the Rubber Band Scenario

When a rubber band is stretched, potential energy is stored in the band due to the elastic deformation. This is a form of potential energy.

Step 4:
: Energy Transformation

When the rubber band is released: - The stored potential energy is converted into kinetic energy - Some energy may be converted to heat due to friction - However, the TOTAL amount of energy remains the same

Step 5:
: Evaluate the Options

- Option A is incorrect: Energy does not increase - Option B is incorrect: Energy does not decrease - Option D is partially true but not the complete answer - Option C is the most accurate representation of the law of conservation of energy

Final Answer

The total amount of energy remains the same. Key Insight: E_{total} = E_{potential} + E_{kinetic} + E_{heat} = \text{constant} The rubber band simply transforms its stored potential energy into other forms of energy (kinetic and heat) while maintaining the same total energy level.