A block of mass 2m is attached to a string of length L = 5 m. The block is released when the string is horizontal , it picks up a particle of 2 m kept at rest at the lowest point. The maximum height attached by the combined mass is

A block of mass 2m is attached to a string of length L = 5 m. The bloc

1.	A block of mass 2m is attached to a string of length L = 5 m. The block is released when the string is horizontal , it picks up a particle of 2 m kept at rest at the lowest point. The maximum height attached by the combined mass is
Answer» `1 m` `1.25 m` `1.5 m` `2.0 m` Solution :`v^(2) = 2 GL RARR v = SQRT(2 gL)` `2 MV = ( 2m + 2m)v'` `v' = (v)/(2) = sqrt((gL)/(2)) LT sqrt( 2 gL)` `0 = v'^(2) - 2gh rArr (gL)/(2) = 2gh` `h = (L)/(4) = (5)/(4) = 1.25 m`