Two balls of clay, with masses M₁ = 0.13 kg and M₂ = 0.22 kg, are thrown at each other and stick when they collide. Mass 1 has a velocity v₁ =3.55i m/s and mass 2 has a velocity of v₂ = 1.65j m/s.

Part (a) Write an expression for the initial momentum of the system, P, in terms of the masses M₁ and M₂, the magnitudes of the velocities v₁ and v₂, and the unit vectors i and j.

Part (b) Find the horizontal component of the final velocity vx, in meters per second, after the collision.

Part (c) Find the vertical component of the final velocity vy, in meters per second, after the collision.