A 3.00 kg object with an intial velocity of + 5.00 m/s in the postive X direction collides with and sticks to a 2.00 kg object with an intial velocity of -3.00 m/s in the negative Y direction. Find the final componet of velocity of the composite object.

Use the conservation of momentum here:

Intial momentum = final momentum
3*5 -2*3=5*v
solve for v.

To solve this problem, we need to use the principle of conservation of momentum. According to this principle, the total momentum before a collision is equal to the total momentum after the collision.

The initial momentum of the system is calculated by multiplying the mass of each object by its velocity and adding them together:

Initial momentum = (mass1 x velocity1) + (mass2 x velocity2)
= (3 kg x 5 m/s) + (2 kg x (-3 m/s))
= 15 kg m/s - 6 kg m/s
= 9 kg m/s

After the collision, the two objects stick together and move as one. Let the final velocity of the composite object be v. The final momentum is then:

Final momentum = (mass1 + mass2) x v
= (3 kg + 2 kg) x v
= 5 kg x v

Since the initial momentum is equal to the final momentum, we can set up an equation:

Initial momentum = Final momentum
9 kg m/s = 5 kg x v

To solve for v, we divide both sides of the equation by 5 kg:

(9 kg m/s) / 5 kg = v
1.8 m/s = v

Therefore, the final component of velocity of the composite object is 1.8 m/s.