Three bodies each of mass `2kg` are arranged as shown in figure. The coefficient of kinetic frication between `B` & `C` is `0.4` and between `C` and ground is `0.1`. Then choose the correct option(s).

Options

A. The acceleration of block `A` is `1 m//s^(2)`
B. The acceleration of block `A` is `3 m//s^(2)`
C. The acceleration of block `C` is `2 m//s^(2)`
D. The acceleration of block `B` is `1 m//s^(2)`

Answer

B, C

Explanation

For `A` & `B`
`20 - T = 2a`
`T - 8 = 2a`
`a_(B) = 3 m//s^(2)`
For `C`
`a_(C) = 2 m//s^(2)`
`a_(BC) = 1 m//s^(2)`
From equation
`S_(BC) = 0 + (1)/(2) a_(BC)t^(2)`
`rArr 2 = (1)/(2) xx 1 xx t^(2)`
`t = 2 sec`
`S_(C) = 0 + (1)/(2)a_(C)t^(2)`
`S_(C) = 4m`