The system of block and wedges all of same mass shown in the figure is released from rest. All surfaces are smooth. Then:

Options

A. The speed of block `A` when it falls `50cm` is `2sqrt(2)m//s`
B. The speed of block `B` when `A` falls `50cm` is `4m//s`
C. The speed of block `B` when `A` falls `50cm` is `sqrt(10)m//s`
D. The speed of block `C` when `A` falls `50cm` is `sqrt(2)m//s`

Answer

A, C, D

Explanation

acd
Velocity direction of `A,B` and `C`

`1/2mv^(2)+1/2m(v^(2)+(v^(2))/4)+1/2(mv^(2))/4=2mgh`
`v=sqrt(8/5gh)=2sqrt(2)m//s`