Solve the following: A 5,000-kg car is driving at 6 m/s when it collides and sticks with an identical type car stopped at a stop sign. What is the resulting speed of the combined cars?Multiple choice question.12 m/s6 m/s3 m/sNeed help? Review these conc
Question
Solve the following: A 5,000-kg car is driving at 6 m/s when it collides and sticks with an identical type car stopped at a stop sign. What is the resulting speed of the combined cars?Multiple choice question.12 m/s6 m/s3 m/sNeed help? Review these conc
Solution
This problem can be solved using the principle of conservation of momentum. The law of conservation of momentum states that the total momentum of a closed system is constant if no external forces are acting on it.
Step 1: Calculate the initial momentum of the system. The initial momentum is the momentum of the moving car before the collision. Momentum is calculated as mass times velocity. So, the initial momentum is 5000 kg * 6 m/s = 30,000 kg*m/s.
Step 2: Calculate the final momentum of the system. After the collision, the two cars stick together and move as one. The total mass is now 10,000 kg (5000 kg + 5000 kg). We'll call the final velocity v. So, the final momentum is 10,000 kg * v.
Step 3: Set the initial momentum equal to the final momentum. This is because of the conservation of momentum. So, 30,000 kg*m/s = 10,000 kg * v.
Step 4: Solve for v. v = 30,000 kg*m/s / 10,000 kg = 3 m/s.
So, the resulting speed of the combined cars is 3 m/s.
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