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Analyzing Forces in Elevator and Train System Masses

This problem involves calculating the readings of bathroom scales in an accelerating elevator with a person of mass 80 kg and exploring the forces in a train system with a 2000 kg engine pulling three cars of 500 kg each. We will determine the scale's reading when the elevator accelerates downward at 3.0 m/s², and find the force between the second and third cars while the engine exerts 400 N. Lastly, we'll calculate the system's acceleration, and the forces between different mass combinations of the three train cars, enhancing our understanding of dynamics and Newton's laws.

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Analyzing Forces in Elevator and Train System Masses

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  1. An 80 kg mass is standing in an elevator on a set of bathroom scales calibrated in newtons. Suppose the elevator accelerates downward at 3.0 m/s2. What reading will the scales have?

  2. A train engine with mass 2000 kg is pulling 3 cars whose mass is 500 kg each. If the force the engine exerts on the cars is 400 n, what is the force between the second and third cars?

  3. Find the acceleration of the system and the force between the 1.0 and 1.5 kg cars and the 1.5 and 0.5 kg cars. Find the acceleration of the system and the force between the 1.0 and 1.5 kg cars and the 1.5 and 0.5 kg cars.

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