Two moving toy of masses 50kg and 30kg are travelling on the same direction. If they collide and stick together calculate the common velocity ?

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

The momentum of an object is given by the product of its mass and velocity. Therefore, the momentum before the collision is:

momentum_before = (mass1 * velocity1) + (mass2 * velocity2)

After the collision, the two objects stick together and move with a common velocity. Let's call this common velocity v. The total momentum after the collision is:

momentum_after = (mass1 + mass2) * v

Since the total momentum before and after the collision must be equal, we can set up the following equation:

(mass1 * velocity1) + (mass2 * velocity2) = (mass1 + mass2) * v

Plugging in the given masses (50 kg and 30 kg), we have:

(50 kg * velocity1) + (30 kg * velocity2) = (50 kg + 30 kg) * v

Simplifying this equation, we get:

50 kg * velocity1 + 30 kg * velocity2 = 80 kg * v

Now, we need to know the velocities of the two objects before the collision in order to solve for the common velocity. If you provide the velocities, we can substitute them into the equation and solve for v.