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# Ask AI: Two 900 kg cars drive east; the first moving at 15 m/s, the second at 35 m/s. What is the magnitude of the total momentum of the system?

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Question: Two 900 kg cars drive east; the first moving at 15 m/s, the second at 35 m/s. What is the magnitude of the total momentum of the system?

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Momentum is a vector quantity calculated by the equation p = mv, where p is momentum, m is mass, and v is velocity. Firstly, let's calculate momentum for each car. Momentum (Car 1) = m1 * v1 = 900 kg * 15 m/s = 13,500 kg*m/s. Momentum (Car 2) = m2 * v2 = 900 kg * 35 m/s = 31,500 kg*m/s. As both cars are moving in the same direction (east), their momenta can be added together to find the total momentum of the system. Total Momentum of the System = Momentum (Car 1) + Momentum (Car 2) = 13,500 kg*m/s + 31,500 kg*m/s = 45,000 kg*m/s. So, the magnitude of the total momentum of the system is 45,000 kg*m/s.

Dec. 8, 2023, 8:08 a.m.

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