After the collision, object X will move at a speed of 2 m/s in its original direction while object Y will move at a speed of 5 m/s in its original direction.
<h3>Elastic collision of the two objects</h3>
When the two objects collide but do not stick together, the type of collision is elastic collision.
In elastic collision, both momentum and kinetic energy are conserved.
<h3>Final velocity of the two objects after collsion</h3>
mu₁ + mu₂ = mv₁ + mv₂
5m + 2m = mv₁ + mv₂
m(5 + 2) = m(v₁ + v₂)
7 = v₁ + v₂ -------- (1)
Apply the concept of one direction velocity;
u₁ + v₁ = u₂ + v₂
5 + v₁ = 2 + v₂
v₂ = v₁ + 3 ------ (2)
Solve (1) and (2) together;
7 = v₁ + v₁ + 3
4 = 2v₁
v₁ = 2 m/s
v₂ = 2 + 3 = 5 m/s
Thus, after the collision, object X will move at a speed of 2 m/s in its original direction while object Y will move at a speed of 5 m/s in its original direction.
Learn more about elastic collision here: brainly.com/question/7694106
