Directions: In the following questions, a statement of assertion (A) ...
No, it does not violate the law of conservation of energy. Potential energy is converted into total mechanical energy and hence, it remains conserved.
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Directions: In the following questions, a statement of assertion (A) ...
Assertion: The potential energy of a free falling object decreases progressively.
Reason: It violates the law of conservation of energy.
Explanation:
To understand the given assertion and reason, let's first define potential energy and the law of conservation of energy.
1. Potential Energy: Potential energy is the stored energy possessed by an object due to its position or state. In the case of a free falling object, it has gravitational potential energy, which is the energy possessed by an object due to its height above the ground.
2. Law of Conservation of Energy: The law of conservation of energy states that energy cannot be created or destroyed but can only be transferred or transformed from one form to another. In other words, the total amount of energy in a closed system remains constant.
Now let's analyze the assertion and reason:
Assertion (A): The potential energy of a free falling object decreases progressively.
Reason (R): It violates the law of conservation of energy.
The correct answer is option (C) - Assertion (A) is true but reason (R) is false.
Explanation of the Correct Answer:
The assertion (A) is true because as a free falling object moves closer to the ground, its height decreases, and hence its potential energy decreases. This is because potential energy is directly proportional to the height above the ground. As the object falls, the potential energy is converted into kinetic energy, which is the energy of motion.
However, the reason (R) is false. The statement that the potential energy of a free falling object decreases progressively does not violate the law of conservation of energy. The law of conservation of energy is not violated because the decrease in potential energy is compensated by an increase in kinetic energy. As the potential energy decreases, the kinetic energy increases to maintain the total energy of the system constant.
Therefore, the assertion is true, but the reason provided is false. The potential energy of a free falling object does decrease progressively, and it does not violate the law of conservation of energy.
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