A block of mass `2kg` is kept on a truck moving with a constant acceleration. The height 'h' of the block is `60 cm` and its width 'w' is `15 cm`. The surface between the block and the truck is sufficiently rough toprevent slipping. The minimum acceleration of the truck at which the topple is (take `g = 10 m//s^(2)` )

Options

A. `2.5 m//s^(2)`
B. `3.5 m//s^(2)`
C. `4.5 m//s^(2)`
D. `5.5 m//s^(2)`

Answer

A

Explanation

For toppling of the block
`ma(h)/(2) gt mg(w)/(2)`
`a gt (w)/(h)g`
`a gt (15)/(60) xx 10`
`a gt 2.5 m//s^(2)`