Question

A bomb exploded in mid air into two equal fragments .

What is angle between their directions of motion

Answer 1

Let the bomb have a mass 2m,

Let the mass and velocity of the first fragment be m and v1 and of the 2nd be m and v2 respectively.

The initial velocity of the bomb be 0 assuming the bomb is at rest in air when it exploding

Intial momentum = final momentum

2m(0) = mv1 + mv2

=> mv1 + mv2 = 0

=> v1 = -v2

This means the two fragments will have equal but opposite velocities.

Thus direction of fragments opposite of each other.

Answer 2

Hey !

_______________________

A bomb is exploded in mid air into two equal fragments

It means ,

Initial momentum = Final momentum

180° :+ The angle between their directions of motion .

As the two fragments would move in exactly opposite directions .

_________________________