A ball of mass 50 g moving at a speed of 2.0 m/s strikes a plane surface at an angle of incidence `45^0`. The ball is reflected by the plane at equal angle of reflection with the same speed. Calculate a. the magnitude of the change in momentum of the ball b. the change in the magnitude of the momentum of the wall.

Explanation

To solve the problem step by step, we will break it down into two parts: (a) calculating the magnitude of the change in momentum of the ball and (b) calculating the change in the magnitude of the momentum of the wall.

### Step 1: Understand the problem
We have a ball of mass \( m = 50 \, \text{g} = 0.05 \, \text{kg} \) moving at a speed \( v = 2.0 \, \text{m/s} \) that strikes a plane surface at an angle of incidence \( 45^\circ \). The ball is reflected at the same angle with the same speed.

### Step 2: Resolve the initial momentum into components
The initial velocity of the ball can be resolved into two components:
- Horizontal component (x-direction):
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