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If A body initially at rest ,is acted upon by an external force which is constant in magnitude.The gain in kinetic energy of the body at a given instant
- a)is directly proportional to the distance covered by it.
- b)is directly proportional to the time elapsed.
- c)is dependent on the time elapsed.
- d)is independent on the time elapsed.
Correct answer is option 'A,C'. Can you explain this answer?
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Verified Answer
If A body initially at rest ,is acted upon by an external force which ...
Gain in kinetic energy by the particle is given by workdone by it from moving point x1, to x2.Thus , the gain in 
Now let force constant is k. Then kinetic energy
Thus K E α (x2-x1) in this relation it is clear that the K.E is directly proportional to the distance covered by it .
Now let force constant is k. Then kinetic energy
Thus K E α (x2-x1) in this relation it is clear that the K.E is directly proportional to the distance covered by it .
Most Upvoted Answer
If A body initially at rest ,is acted upon by an external force which ...
Gain in kinetic energy by the particle is given by workdone by it from moving point x1, to x2.Thus , the gain in 
Now let force constant is k. Then kinetic energy
Thus K E α (x2-x1) in this relation it is clear that the K.E is directly proportional to the distance covered by it and is independent of time elapsed.
Now let force constant is k. Then kinetic energy
Thus K E α (x2-x1) in this relation it is clear that the K.E is directly proportional to the distance covered by it and is independent of time elapsed.
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If A body initially at rest ,is acted upon by an external force which ...
Gain in Kinetic Energy of a Body Initially at Rest
Introduction:
When a body initially at rest is acted upon by an external force, it undergoes a change in its kinetic energy. The relationship between the gain in kinetic energy and certain factors can be determined.
Key Points:
The gain in kinetic energy of the body at a given instant is directly proportional to the distance covered by it and is independent of the time elapsed. Therefore, the correct answers are option 'A' and 'C'.
Detailed Explanation:
A. Directly Proportional to the Distance Covered:
- When a body is acted upon by a constant external force, it undergoes acceleration according to Newton's second law of motion.
- This acceleration results in the body gaining kinetic energy.
- The gain in kinetic energy can be calculated using the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy.
- In this case, the work done on the body is equal to the force applied multiplied by the distance covered.
- As the force is constant in magnitude, the work done is directly proportional to the distance covered.
- Since the work done is equal to the gain in kinetic energy, it follows that the gain in kinetic energy is also directly proportional to the distance covered.
C. Independent of the Time Elapsed:
- The gain in kinetic energy of a body is independent of the time elapsed because it depends only on the distance covered.
- The time taken to cover a certain distance depends on the speed of the body, which in turn depends on the magnitude of the external force acting on it.
- However, the gain in kinetic energy is a result of the work done on the body, which is directly proportional to the distance covered.
- Therefore, the gain in kinetic energy is independent of the time elapsed.
Conclusion:
The gain in kinetic energy of a body initially at rest, when acted upon by a constant external force, is directly proportional to the distance covered by the body and is independent of the time elapsed. This implies that the correct answers are option 'A' and 'C'.
Introduction:
When a body initially at rest is acted upon by an external force, it undergoes a change in its kinetic energy. The relationship between the gain in kinetic energy and certain factors can be determined.
Key Points:
The gain in kinetic energy of the body at a given instant is directly proportional to the distance covered by it and is independent of the time elapsed. Therefore, the correct answers are option 'A' and 'C'.
Detailed Explanation:
A. Directly Proportional to the Distance Covered:
- When a body is acted upon by a constant external force, it undergoes acceleration according to Newton's second law of motion.
- This acceleration results in the body gaining kinetic energy.
- The gain in kinetic energy can be calculated using the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy.
- In this case, the work done on the body is equal to the force applied multiplied by the distance covered.
- As the force is constant in magnitude, the work done is directly proportional to the distance covered.
- Since the work done is equal to the gain in kinetic energy, it follows that the gain in kinetic energy is also directly proportional to the distance covered.
C. Independent of the Time Elapsed:
- The gain in kinetic energy of a body is independent of the time elapsed because it depends only on the distance covered.
- The time taken to cover a certain distance depends on the speed of the body, which in turn depends on the magnitude of the external force acting on it.
- However, the gain in kinetic energy is a result of the work done on the body, which is directly proportional to the distance covered.
- Therefore, the gain in kinetic energy is independent of the time elapsed.
Conclusion:
The gain in kinetic energy of a body initially at rest, when acted upon by a constant external force, is directly proportional to the distance covered by the body and is independent of the time elapsed. This implies that the correct answers are option 'A' and 'C'.
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If A body initially at rest ,is acted upon by an external force which is constant in magnitude.The gain in kinetic energy of the body at a given instanta)is directly proportional to the distance covered by it.b)is directly proportional to the time elapsed.c)is dependent on the time elapsed.d)is independent on the time elapsed.Correct answer is option 'A,C'. Can you explain this answer?
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If A body initially at rest ,is acted upon by an external force which is constant in magnitude.The gain in kinetic energy of the body at a given instanta)is directly proportional to the distance covered by it.b)is directly proportional to the time elapsed.c)is dependent on the time elapsed.d)is independent on the time elapsed.Correct answer is option 'A,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about If A body initially at rest ,is acted upon by an external force which is constant in magnitude.The gain in kinetic energy of the body at a given instanta)is directly proportional to the distance covered by it.b)is directly proportional to the time elapsed.c)is dependent on the time elapsed.d)is independent on the time elapsed.Correct answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A body initially at rest ,is acted upon by an external force which is constant in magnitude.The gain in kinetic energy of the body at a given instanta)is directly proportional to the distance covered by it.b)is directly proportional to the time elapsed.c)is dependent on the time elapsed.d)is independent on the time elapsed.Correct answer is option 'A,C'. Can you explain this answer?.
If A body initially at rest ,is acted upon by an external force which is constant in magnitude.The gain in kinetic energy of the body at a given instanta)is directly proportional to the distance covered by it.b)is directly proportional to the time elapsed.c)is dependent on the time elapsed.d)is independent on the time elapsed.Correct answer is option 'A,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about If A body initially at rest ,is acted upon by an external force which is constant in magnitude.The gain in kinetic energy of the body at a given instanta)is directly proportional to the distance covered by it.b)is directly proportional to the time elapsed.c)is dependent on the time elapsed.d)is independent on the time elapsed.Correct answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A body initially at rest ,is acted upon by an external force which is constant in magnitude.The gain in kinetic energy of the body at a given instanta)is directly proportional to the distance covered by it.b)is directly proportional to the time elapsed.c)is dependent on the time elapsed.d)is independent on the time elapsed.Correct answer is option 'A,C'. Can you explain this answer?.
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