A car of mass 1400kg moving south at 11m/s collides into another car of mass 1800kg moving east at 30m/s.The cars are stock together after the collision.Determine the velocity of the cars immediately after the collision.

To determine the velocity of the cars immediately after the collision, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision should be equal to the total momentum after the collision.

Let's first analyze the momentum of each car before the collision:

Car A (south):
Mass (m1) = 1400 kg
Velocity (v1) = -11 m/s (negative sign indicates moving south)
Momentum (p1) = m1 * v1 = 1400 kg * (-11 m/s) = -15400 kg·m/s (negative sign indicates moving south)

Car B (east):
Mass (m2) = 1800 kg
Velocity (v2) = 30 m/s (positive sign indicates moving east)
Momentum (p2) = m2 * v2 = 1800 kg * 30 m/s = 54000 kg·m/s (positive sign indicates moving east)

Now, let's calculate the total momentum before the collision:

Total momentum before collision (ptotal) = p1 + p2
= -15400 kg·m/s + 54000 kg·m/s
= 38600 kg·m/s (toward the east since the positive value is greater)

Since the cars stick together after the collision, they will have a combined mass (m_total) equal to the sum of their masses.

m_total = m1 + m2
= 1400 kg + 1800 kg
= 3200 kg

Now, let's calculate the velocity of the cars after the collision (Vf):

Vf = ptotal / m_total
= 38600 kg·m/s / 3200 kg
= 12.0625 m/s

Thus, the velocity of the cars immediately after the collision is 12.0625 m/s toward the east.