A block of mass 2 kg is pushed against a rough vertical wall with a force of 40N. Coefficient of static friction being 0.5. Another horizontal force of 15 N, is applied on the block in a direction parallel to the wall. Will the block move? If yes in which direction? If no, find the frictional force exerted by the wall on the block.

Explanation

To determine whether the block will move and in which direction, we will analyze the forces acting on it step by step.

### Step 1: Identify the forces acting on the block
- The block has a mass of \( m = 2 \, \text{kg} \).
- The gravitational force (weight) acting on the block is given by:
\[ W = m \cdot g = 2 \, \text{kg} \cdot 10 \, \text{m/s}^2 = 20 \, \text{N} \]
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