A long block A is at rest on a smooth horizontal surface. A small block B, whose mass is half of A, is placed on A at one end and projected along A with some velocity u. The coefficient of friction between the blocks is `mu`:

Options

A. The blocks will reach a common velocity `mu//3`.
B. Work done against friction is `2//3` of the initial kinetic energy.
C. Before the blocks reach a common velocity then acceleration of A relative to B is `(2)/(3) mu g`.
D. Before the blocks reach a common velocity then acceleration of A relative to B is `( 3)/( 2) mu g `

Answer

A, B, D