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Balloon of mass M is descending with a constant acceleration g/3. when a mass m is released from the balloon it starts rising with the same acceleration g/3. the value of m is ?
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Balloon of mass M is descending with a constant acceleration g/3. when...
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Balloon of mass M is descending with a constant acceleration g/3. when...
Given information:
- Mass of the balloon, M
- Acceleration of the balloon, g/3 (descending)
- Mass of the released object, m
- Acceleration of the released object, g/3 (rising)
Analysis:
We can analyze this scenario using Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
Descending balloon:
When the balloon is descending with a constant acceleration of g/3, the net force acting on it is given by the equation F_balloon = M * (g/3). This force is directed downwards due to gravity.
Rising object:
When the mass m is released from the balloon and starts rising with the same acceleration of g/3, the net force acting on it is given by the equation F_object = m * (g/3). This force is directed upwards to counteract the force of gravity.
Equilibrium:
Since the released object is rising with the same acceleration as the descending balloon, the net force on the object must be equal in magnitude and opposite in direction to the net force on the balloon for them to remain in equilibrium.
Therefore, we have F_balloon = F_object.
M * (g/3) = m * (g/3)
Simplification:
Canceling out the common term (g/3) on both sides of the equation, we get:
M = m
Conclusion:
The mass of the released object, m, is equal to the mass of the balloon, M. Therefore, the value of m is equal to M.
- Mass of the balloon, M
- Acceleration of the balloon, g/3 (descending)
- Mass of the released object, m
- Acceleration of the released object, g/3 (rising)
Analysis:
We can analyze this scenario using Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
Descending balloon:
When the balloon is descending with a constant acceleration of g/3, the net force acting on it is given by the equation F_balloon = M * (g/3). This force is directed downwards due to gravity.
Rising object:
When the mass m is released from the balloon and starts rising with the same acceleration of g/3, the net force acting on it is given by the equation F_object = m * (g/3). This force is directed upwards to counteract the force of gravity.
Equilibrium:
Since the released object is rising with the same acceleration as the descending balloon, the net force on the object must be equal in magnitude and opposite in direction to the net force on the balloon for them to remain in equilibrium.
Therefore, we have F_balloon = F_object.
M * (g/3) = m * (g/3)
Simplification:
Canceling out the common term (g/3) on both sides of the equation, we get:
M = m
Conclusion:
The mass of the released object, m, is equal to the mass of the balloon, M. Therefore, the value of m is equal to M.
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Balloon of mass M is descending with a constant acceleration g/3. when a mass m is released from the balloon it starts rising with the same acceleration g/3. the value of m is ?
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Balloon of mass M is descending with a constant acceleration g/3. when a mass m is released from the balloon it starts rising with the same acceleration g/3. the value of m is ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Balloon of mass M is descending with a constant acceleration g/3. when a mass m is released from the balloon it starts rising with the same acceleration g/3. the value of m is ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Balloon of mass M is descending with a constant acceleration g/3. when a mass m is released from the balloon it starts rising with the same acceleration g/3. the value of m is ?.
Balloon of mass M is descending with a constant acceleration g/3. when a mass m is released from the balloon it starts rising with the same acceleration g/3. the value of m is ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Balloon of mass M is descending with a constant acceleration g/3. when a mass m is released from the balloon it starts rising with the same acceleration g/3. the value of m is ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Balloon of mass M is descending with a constant acceleration g/3. when a mass m is released from the balloon it starts rising with the same acceleration g/3. the value of m is ?.
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