A body of mass `1 kg` initially at rest, explodes and breaks into three fragments of masses in the ratio `1 : 1 : 3`. The two pieces of equal mass fly off perpendicular to each other with a speed of `15 m s^(-1)` each. What is the velocity of the heavier fragment?

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the masses of the fragments
Given that the total mass of the body is 1 kg and the masses are in the ratio of 1:1:3, we can denote the masses of the fragments as follows:

- Let the mass of the first fragment (m1) = x
- Let the mass of the second fragment (m2) = x
- Let the mass of the third fragment (m3) = 3x
...