Two blocks A and B each of mass m are connected by a massless spring of natural length L…
Physics · JEE Advanced · NTA Exams — Laws of Motion
Two blocks A and B each of mass m are connected by a 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. A third identical block C (of mass m) moves on the floor with a speed V along the line joining A and B and collides elastically with A :
- the kinetic energy of (A – B) system at maximum compression of the spring is zero.
- the kinetic energy of (A – B) system at maximum compression of the spring is mv2/4 .
- the maximum compression of the spring is \(V \sqrt{(m / K)}\)
- the maximum compression of the spring is \(V \sqrt{(m / 2 K)}\)
Answer
(B) the kinetic energy of (A – B) system at maximum compression of the spring is m v 2 /4 ., (D) the maximum compression of the spring is V (m / 2 K)
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