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 plane. A third block C also of mass m moves on the plane with a speed ‘v’ along the line joining A and B and collides elastically with A then which of the following is/are correct :
Text Solution
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(b, d)
P i = mv (i) P f = (m + m) v ′
at maximum compression
P i = P f v' = v/2
By energy compression
mv 2 + 0 = 
(2m) (v) 2 + 
kx 2
kx 2 = 
⇒ x = 
at maximum compression k = 
× 2m × 
⇒ k = mv' 2 = mv 2 /4.
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