Two identical billiard balls striks a rigid wall with the same speed but at different angles , and get reflected without any change in speed , as shown in Fig . What is (i) the direction of the force on the wall due to each ball ? (ii) the ratio of the magnitudes of impulses imparted to the balls by the wall ?

Explanation

To solve the problem step by step, we will analyze the situation of two identical billiard balls striking a rigid wall at different angles and determine the direction of the force on the wall and the ratio of the impulses imparted to the balls by the wall.

### Step 1: Understanding the Situation
We have two identical billiard balls striking a rigid wall with the same speed (let's denote it as \( u \)) but at different angles. When they strike the wall, they reflect without any change in speed.

### Step 2: Analyzing the First Ball
Let’s consider the first ball striking the wall perpendicularly (at an angle of 0 degrees).
- The initial momentum of the ball before striking the wall is \( p_1 = mu \) (where \( m \) is the mass of the ball).
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