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Two blocks A and B each of mass m are connected by massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in figure. A third identical block C also of mass m moves on the floor with a speed V along the line joining A and B and collides with A. Then
  • a)
    The kinetic energy of AB system at maximum compression of the spring is zero.
  • b)
    The kinetic energy of the AB system at maximum compression of spring is mV2/4.
  • c)
    The maximum compression of the spring is 
  • d)
    The maximum compression of the spring is 
Correct answer is option 'B,D'. Can you explain this answer?
Verified Answer
Two blocks A and B each of mass m are connected by massless spring of ...
Let the velocity required by A and B be v, then mv = mV + mV   where x is the maximum compression  • At maximum compression , kinetic energy o f the AB system = 
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Two blocks A and B each of mass m are connected by massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in figure. A third identical block C also of mass m moves on the floor with a speed V along theline joining A and B and collides with A. Thena)The kinetic energy of AB system at maximum compression of the spring iszero.b)The kinetic energy of the AB system at maximum compression of spring ismV2/4.c)The maximum compression of the spring isd)The maximum compression of the spring isCorrect answer is option 'B,D'. Can you explain this answer?
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Two blocks A and B each of mass m are connected by massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in figure. A third identical block C also of mass m moves on the floor with a speed V along theline joining A and B and collides with A. Thena)The kinetic energy of AB system at maximum compression of the spring iszero.b)The kinetic energy of the AB system at maximum compression of spring ismV2/4.c)The maximum compression of the spring isd)The maximum compression of the spring isCorrect answer is option 'B,D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two blocks A and B each of mass m are connected by massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in figure. A third identical block C also of mass m moves on the floor with a speed V along theline joining A and B and collides with A. Thena)The kinetic energy of AB system at maximum compression of the spring iszero.b)The kinetic energy of the AB system at maximum compression of spring ismV2/4.c)The maximum compression of the spring isd)The maximum compression of the spring isCorrect answer is option 'B,D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two blocks A and B each of mass m are connected by massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in figure. A third identical block C also of mass m moves on the floor with a speed V along theline joining A and B and collides with A. Thena)The kinetic energy of AB system at maximum compression of the spring iszero.b)The kinetic energy of the AB system at maximum compression of spring ismV2/4.c)The maximum compression of the spring isd)The maximum compression of the spring isCorrect answer is option 'B,D'. Can you explain this answer?.
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