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A stone rolls down an inclined plane. Midway during the motion, the stone has:
- a)only kinetic energy
- b)only potential energy
- c)both kinetic and potential enrgy
- d)neither potential nor kinetic energy.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A stone rolls down an inclined plane. Midway during the motion, the st...
When a body rolls on an inclined plane, then it exhibits both translational and rotational motion. And according to conservation of energy, its P.E gets converted into translation and rotational kinetic energy.
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A stone rolls down an inclined plane. Midway during the motion, the st...
Stone rolling down an inclined plane
When a stone rolls down an inclined plane, it undergoes both kinetic and potential energy changes. Let's explore each type of energy in detail:
Kinetic Energy:
Kinetic energy is the energy possessed by an object due to its motion. In the case of the rolling stone, as it moves down the inclined plane, it gains kinetic energy. This is because its velocity increases as it moves towards the bottom of the incline. The stone's kinetic energy is directly proportional to its mass and the square of its velocity.
Potential Energy:
Potential energy is the energy possessed by an object due to its position or height. In the case of the rolling stone, as it moves down the inclined plane, it loses potential energy. This is because its height or position decreases as it moves towards the bottom. The stone's potential energy is directly proportional to its mass, acceleration due to gravity, and the height of the incline.
Midway during the motion:
When the stone is midway during its motion down the inclined plane, it has both kinetic and potential energy. At this point, the stone has not yet reached the bottom, so it still possesses potential energy. Additionally, it is in motion and has a certain velocity, indicating the presence of kinetic energy.
Conclusion:
In summary, when a stone rolls down an inclined plane, it possesses both kinetic and potential energy. At any point during its motion, including midway, it has both forms of energy. Therefore, the correct answer is option 'C' - both kinetic and potential energy.
When a stone rolls down an inclined plane, it undergoes both kinetic and potential energy changes. Let's explore each type of energy in detail:
Kinetic Energy:
Kinetic energy is the energy possessed by an object due to its motion. In the case of the rolling stone, as it moves down the inclined plane, it gains kinetic energy. This is because its velocity increases as it moves towards the bottom of the incline. The stone's kinetic energy is directly proportional to its mass and the square of its velocity.
Potential Energy:
Potential energy is the energy possessed by an object due to its position or height. In the case of the rolling stone, as it moves down the inclined plane, it loses potential energy. This is because its height or position decreases as it moves towards the bottom. The stone's potential energy is directly proportional to its mass, acceleration due to gravity, and the height of the incline.
Midway during the motion:
When the stone is midway during its motion down the inclined plane, it has both kinetic and potential energy. At this point, the stone has not yet reached the bottom, so it still possesses potential energy. Additionally, it is in motion and has a certain velocity, indicating the presence of kinetic energy.
Conclusion:
In summary, when a stone rolls down an inclined plane, it possesses both kinetic and potential energy. At any point during its motion, including midway, it has both forms of energy. Therefore, the correct answer is option 'C' - both kinetic and potential energy.
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A stone rolls down an inclined plane. Midway during the motion, the stone has:a)only kinetic energyb)only potential energyc)both kinetic and potential enrgyd)neither potential nor kinetic energy.Correct answer is option 'C'. Can you explain this answer?
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