Question

a bomb explodes in midair into two equal fragments.what is the direction of motion of two fragments?a bomb explodes in midair into two equal fragments.what is the direction of motion of two fragments?

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 2^nd 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.