A block of mass 4kg attached with spring of spring constant 100 N/m is executing SHM of amplitude 0.1m on smooth horizontal surface as shown in figure. If another block of mass 5 kg is gently placed on it, at the instant it passes through the mean position and new amplitude of motion is n –1 meter then find n. Assuming that two blocks always move together
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(15)
Frequency n 2 = 
= 
= 
= 
By conservation of linear momentum at mean position,
P i = P f
⇒ m 1 ꞷ 1 A 1 = (m 1 + m 2 ) ꞷ 2 A 2
⇒ 
= (m 1 + m 2 ) 
⇒ 
= 
⇒ A 2 = 
m.
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