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A force F produces an acceleration 'a' in a body. The same force produces and acceleration 4a in another
body. The mass of other body is :
body. The mass of other body is :
- a)Four times the mass of first body
- b)Four times less the mass of other body
- c)Mass does not play role
- d)None of the above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A force F produces an acceleration a in a body. The same force produce...
According to the Newton’s Second Law of Motion, the change in momentum of a body per unit time is directly proportional to the unbalanced force acting on the body and the change in momentum takes place in the direction of the unbalanced force of the body. It can be represented as F = ma. From the equation we can see that mass is inversely proportional to acceleration so if the acceleration of the body increases by 4 times, the mass of the body will reduce by 4 times.
Most Upvoted Answer
A force F produces an acceleration a in a body. The same force produce...
**Explanation:**
Let's assume the first body has mass m1 and the second body has mass m2.
**Newton's Second Law:**
According to Newton's second law of motion, the force acting on a body is equal to the product of its mass and acceleration.
Mathematically, it can be represented as:
F = m * a
where F is the force, m is the mass, and a is the acceleration.
**Given Information:**
In the first body, the force F produces an acceleration a.
In the second body, the same force F produces an acceleration 4a.
**Solution:**
We can write the equations for the first body and the second body as follows:
For the first body:
F = m1 * a
For the second body:
F = m2 * (4a)
Comparing the two equations, we can see that the force F is the same in both cases. Therefore, we can equate the two equations:
m1 * a = m2 * (4a)
Simplifying the equation:
m1 = 4m2
This equation shows that the mass of the first body (m1) is four times the mass of the second body (m2). Therefore, the correct answer is option B - the mass of the second body is four times less than the mass of the first body.
**Conclusion:**
The correct answer is option B - the mass of the second body is four times less than the mass of the first body.
Let's assume the first body has mass m1 and the second body has mass m2.
**Newton's Second Law:**
According to Newton's second law of motion, the force acting on a body is equal to the product of its mass and acceleration.
Mathematically, it can be represented as:
F = m * a
where F is the force, m is the mass, and a is the acceleration.
**Given Information:**
In the first body, the force F produces an acceleration a.
In the second body, the same force F produces an acceleration 4a.
**Solution:**
We can write the equations for the first body and the second body as follows:
For the first body:
F = m1 * a
For the second body:
F = m2 * (4a)
Comparing the two equations, we can see that the force F is the same in both cases. Therefore, we can equate the two equations:
m1 * a = m2 * (4a)
Simplifying the equation:
m1 = 4m2
This equation shows that the mass of the first body (m1) is four times the mass of the second body (m2). Therefore, the correct answer is option B - the mass of the second body is four times less than the mass of the first body.
**Conclusion:**
The correct answer is option B - the mass of the second body is four times less than the mass of the first body.
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A force F produces an acceleration a in a body. The same force produce...
It will be 1/4 th of first body.... Not four times less the mass of other body....
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A force F produces an acceleration a in a body. The same force produces and acceleration 4a in anotherbody. The mass of other body is :a)Four times the mass of first bodyb)Four times less the mass of other bodyc)Mass does not play roled)None of the aboveCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A force F produces an acceleration a in a body. The same force produces and acceleration 4a in anotherbody. The mass of other body is :a)Four times the mass of first bodyb)Four times less the mass of other bodyc)Mass does not play roled)None of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force F produces an acceleration a in a body. The same force produces and acceleration 4a in anotherbody. The mass of other body is :a)Four times the mass of first bodyb)Four times less the mass of other bodyc)Mass does not play roled)None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
A force F produces an acceleration a in a body. The same force produces and acceleration 4a in anotherbody. The mass of other body is :a)Four times the mass of first bodyb)Four times less the mass of other bodyc)Mass does not play roled)None of the aboveCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A force F produces an acceleration a in a body. The same force produces and acceleration 4a in anotherbody. The mass of other body is :a)Four times the mass of first bodyb)Four times less the mass of other bodyc)Mass does not play roled)None of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A force F produces an acceleration a in a body. The same force produces and acceleration 4a in anotherbody. The mass of other body is :a)Four times the mass of first bodyb)Four times less the mass of other bodyc)Mass does not play roled)None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
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