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.
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.
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.
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