The system is released from rest with both the springs in unstretched positions. Mass of each block is `1 kg` and force constant of each spring is `10 N//m`. Then choose the incorrect option(s). Assume puleys and strings are massless and all contacts are smooth. `(g = 10 m//s^(2))`

Options

A. Extension of horizontal spring in spring in equilibrium is `0.4m`
B. Extension of horizontal spring in spring in equilibrium is `0.2m`
C. Maximum speed of the block `A` is `8 m//s`
D. Maximum speed of the block `A` is `12 m//s`

Answer

B, C, D

Explanation

`3kx = mg `
`sqrt(x)10 xx x = 1 xx 10`
`x = (1)/(5) = 0.2`
`(ii)(1)(g)(x)`
`= (1)/(2)(1)(v)2+(1)/(2)(1)(2v)^(2)x+(1)/(2)(10)(0.2)^(2)+(1)/(2)(10)(0.4)^(2)`
`2 = (V^(2))/(2)(1 + 4 + 0.4 + 1.6)`
`v^(2) = 4 xx 7`
`v = 2sqrt(7)`