Box on a wedge, no friction

Sep 2018
7
0
A box with mass m=0.5kg appears on top of a wedge with mass M=3,5kg. Wedge is inclined by 35°. Assume no friction exists anywhere and calculate acceleration of both block and wedge.

How to solve this? Is it possible to solve this using momentum?
 
Aug 2010
434
174
There is a downward force of 0,5g Newtons. Divide that into components along the slant side of the wedge and perpendicular to it. The force along the slant side gives ma for the mass in that direction and the normal force pushes the wedge.
 
Sep 2018
7
0
So if I divide Fg into components along to the incline, there Is force Fx pushing the box downwards a Fy pushing the wedge. If Fx = m.gx then gx = g.sin 35 = 5,6. (acceleretion of the box) Force Fy Is m.g.cos 35 = 4N. Then force that pushes the wedge Is F= Fy.sin 35 = 2,3N so acceleration of wedge is a = F/ M = 0.6
Is there a mistske?