Answer:
m₂ = 1.2 [kg]
Explanation:
Since the explosion causes a force in a certain instant of time, for both bodies there is an equal impulse. In such a way that we can relate both impulses to be able to find the mass of the body needed in the next equation.
where:
m₁ = mass of the first piece = 0.75 [kg]
v₁ = velocity of the first piece = 7.2 [m/s]
m₂ = mass of the second piece [kg]
v₂ = velocity of the second piece = 4.5 [m/s]