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An object is falling from a height h, when it has fallen a height h/2, it will possess
A Half kinetic energy
B Half potential energy
C Only kinetic energy
D Only potential energy
A Half kinetic energy
B Half potential energy
C Only kinetic energy
D Only potential energy
- a)(a), (b) and (c) are correct
- b)(b) and (c) are correct
- c)(a) and (b) are correct
- d)All of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
An object is falling from a height h, when it has fallen a height h/2,...
When an object falls from a height h, it possesses both potential energy and kinetic energy. As the object falls to a height of h/2, the following changes occur:
Half potential energy:
- The potential energy of an object at height h is given by mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.
- When the object falls to a height of h/2, the potential energy becomes mgh/2.
- Therefore, the object possesses half of its initial potential energy at this point.
Only kinetic energy:
- The kinetic energy of an object is given by (1/2)mv^2, where m is the mass of the object and v is its velocity.
- As the object falls, its potential energy is converted into kinetic energy.
- At a height of h/2, the object has lost half of its initial potential energy and gained an equal amount of kinetic energy.
- Therefore, at this point, the object only possesses kinetic energy.
Therefore, the correct answer is option C: Only kinetic energy.
Most Upvoted Answer
An object is falling from a height h, when it has fallen a height h/2,...
When an object falls from a height h, it undergoes changes in its potential energy and kinetic energy. Let's analyze the given options to determine which ones are correct.
A) Half kinetic energy:
When the object has fallen a height h/2, its potential energy has decreased by half. According to the law of conservation of energy, this decrease in potential energy is converted into an equal increase in kinetic energy. Therefore, at this point, the object will have gained half of its potential energy as kinetic energy. Hence, option A is correct.
B) Half potential energy:
As mentioned above, when the object has fallen a height h/2, its potential energy has decreased by half. This is because the potential energy of an object is directly proportional to its height from the ground. So, when the height is reduced by half, the potential energy is also reduced by half. Therefore, option B is correct.
C) Only kinetic energy:
This option is incorrect because when the object has fallen a height h/2, it possesses both kinetic energy and potential energy. The potential energy has decreased, but it is not zero. The decrease in potential energy is converted into an increase in kinetic energy, so both forms of energy are present at this point.
D) Only potential energy:
This option is incorrect because, as explained above, the object possesses both kinetic energy and potential energy when it has fallen a height h/2.
From the analysis above, we can conclude that options A and B are correct, while options C and D are incorrect. Therefore, the correct answer is option C, which states that the object possesses half kinetic energy and half potential energy when it has fallen a height h/2.
In summary, when an object falls from a height h and has fallen a height h/2, it possesses both kinetic energy and potential energy, with the potential energy being reduced by half and converted into an increase in kinetic energy.
A) Half kinetic energy:
When the object has fallen a height h/2, its potential energy has decreased by half. According to the law of conservation of energy, this decrease in potential energy is converted into an equal increase in kinetic energy. Therefore, at this point, the object will have gained half of its potential energy as kinetic energy. Hence, option A is correct.
B) Half potential energy:
As mentioned above, when the object has fallen a height h/2, its potential energy has decreased by half. This is because the potential energy of an object is directly proportional to its height from the ground. So, when the height is reduced by half, the potential energy is also reduced by half. Therefore, option B is correct.
C) Only kinetic energy:
This option is incorrect because when the object has fallen a height h/2, it possesses both kinetic energy and potential energy. The potential energy has decreased, but it is not zero. The decrease in potential energy is converted into an increase in kinetic energy, so both forms of energy are present at this point.
D) Only potential energy:
This option is incorrect because, as explained above, the object possesses both kinetic energy and potential energy when it has fallen a height h/2.
From the analysis above, we can conclude that options A and B are correct, while options C and D are incorrect. Therefore, the correct answer is option C, which states that the object possesses half kinetic energy and half potential energy when it has fallen a height h/2.
In summary, when an object falls from a height h and has fallen a height h/2, it possesses both kinetic energy and potential energy, with the potential energy being reduced by half and converted into an increase in kinetic energy.
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An object is falling from a height h, when it has fallen a height h/2, it will possessA Half kinetic energyB Half potential energyC Only kinetic energyD Only potential energya)(a), (b) and (c) are correctb)(b) and (c) are correctc)(a) and (b) are correctd)All of theseCorrect answer is option 'C'. Can you explain this answer?
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