A block of mass 2 kg is pushed against a rough vertical wall with a force is 40 N. Coefficient of static friction being 0.5. Another horizontal force is 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 the block step by step.

### Step 1: Identify the forces acting on the block
- **Weight (W)**: The weight of the block is given by \( W = mg = 2 \, \text{kg} \times 10 \, \text{m/s}^2 = 20 \, \text{N} \) acting downwards.
- **Applied Force (F1)**: A force of \( 40 \, \text{N} \) is pushing the block against the wall.
- **Horizontal Force (F2)**: A horizontal force of \( 15 \, \text{N} \) is applied parallel to the wall.
- **Normal Force (N)**: The wall exerts a normal force on the block, which acts perpendicular to the wall.
- **Frictional Force (f)**: The frictional force opposes the motion of the block.
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