Understanding the Concepts

* Conservation of Momentum: In an isolated system (no external forces), the total momentum before a collision equals the total momentum after the collision.

* Momentum: Momentum (p) is a measure of an object's mass in motion. It's calculated as: p = mv (mass * velocity)

Solving the Problem

1. Initial Momentum:

* Car 1 (at rest): p1 = m1 * v1 = 1000 kg * 0 m/s = 0 kg*m/s

* Car 2: p2 = m2 * v2 = 1000 kg * 10 m/s = 10000 kg*m/s

* Total initial momentum: p_initial = p1 + p2 = 10000 kg*m/s

2. Final Momentum:

* Let 'v' be the final velocity of the two cars stuck together.

* Total mass: m_total = m1 + m2 = 2000 kg

* Total final momentum: p_final = m_total * v = 2000 kg * v

3. Conservation of Momentum:

* p_initial = p_final

* 10000 kg*m/s = 2000 kg * v

4. Solving for the Final Velocity:

* v = 10000 kg*m/s / 2000 kg = 5 m/s

Answer: The final speed of the two cars stuck together is 5 m/s.