A 12000kg railway truck travelling at straight track at a speed of 12m/s collide with an identical stationary truck.If the truck lock together as a result of collision, calculate their common speed ?

To solve this problem, we can use the principle of conservation of momentum.

The initial momentum of the moving truck is given by:
Initial momentum = mass x velocity
Initial momentum = 12000kg x 12m/s
Initial momentum = 144000 kg*m/s

The initial momentum of the stationary truck is 0, as it is not moving.

After the collision, the two trucks lock together and move with a common speed, let's call it V.

The total mass of the two trucks after the collision is 24000kg (12000kg + 12000kg).

Using the principle of conservation of momentum:
Initial momentum = final momentum
144000 = 24000 x V
V = 144000 / 24000
V = 6 m/s

Therefore, the common speed of the two trucks after the collision is 6 m/s.

Using the law of conservation of momentum, we have:

Initial momentum = Final momentum

$$m_1u_1 + m_2u_2 = (m_1 + m_2)v$$

Where:

$$m_1 = 12000 \text{ kg}$$

$$u_1 = 12 \text{ m/s}$$

$$m_2 = 12000 \text{ kg}$$

$$u_2 = 0 \text{ m/s}$$

$$v = ?$$

Substituting the values, we get:

$$12000 \times 12 + 12000 \times 0 = (12000 + 12000)v$$

$$144000 = 24000v$$

Dividing both sides by 24000, we get:

$$v = \frac{144000}{24000} = 6 \text{ m/s}$$

Therefore, the common speed of the trucks after the collision is 6 m/s.

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