Normal on wedge due to block will provide sufficient force to accelerate the block. The horizontal component of Normal will be Nsin(@)
{representing angle of inclination by @}

Acceleration of a Wedge with a Sliding Block
In order to find the acceleration of a wedge on a smooth horizontal surface with a block of mass sliding down it, we can use Newton's second law of motion. Let's break down the steps to calculate the acceleration:

1. Free Body Diagram
First, draw a free body diagram of the block and wedge system. Consider all the forces acting on the block and the wedge separately. The forces acting on the block will include its weight (mg) and the normal force exerted by the wedge. The forces acting on the wedge will include the normal force from the block and the horizontal force due to the block sliding down.

2. Apply Newton's Second Law
For the block:
ΣF = ma
mg - N = ma
N = mg - ma
For the wedge:
ΣF = Ma
N = Ma
Where:
m = mass of the block
M = mass of the wedge
a = acceleration of the block and wedge
N = normal force
g = acceleration due to gravity

3. Solving for Acceleration
Substitute the expression for N from the block equation into the wedge equation:
mg - ma = Ma
Solve for acceleration (a):
a(M + m) = mg
a = mg / (M + m)
This is the acceleration of the wedge on a smooth horizontal surface with a block sliding down it. Make sure to plug in the given values for mass (m and M) and acceleration due to gravity (g) to obtain the final numerical value for acceleration.