Simple vector on a train drawing problem

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The discussion revolves around a physics problem involving a ball hanging from a string in a train car. When the train moves at a uniform velocity, the ball remains motionless, requiring a free-body diagram with balanced forces. However, when the train accelerates, the forces acting on the ball change, necessitating a different diagram. A participant initially drew two equal vectors for the forces but received feedback indicating that the labeling of these forces might have been incorrect. The conversation emphasizes the importance of accurately representing and labeling forces in free-body diagrams for different scenarios.
kirby27
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The problem statement, all vaA ball is hanging from a long string that is tied to the ceiling of a train car traveling eastward on horizontal tracks. An observer inside the train car sees the ball hang motionless.

Draw a clearly labeled free-body diagram for the ball if the train has a uniform velocity.

Draw a clearly labeled free-body diagram for the ball if the train is speeding up uniformly.

-for the first one i drew two vectors. one up. one down with the same magnitude and mastering physics said it was wrong. i don't know why?
 
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kirby27 said:
The problem statement, all vaA ball is hanging from a long string that is tied to the ceiling of a train car traveling eastward on horizontal tracks. An observer inside the train car sees the ball hang motionless.

Draw a clearly labeled free-body diagram for the ball if the train has a uniform velocity.

Draw a clearly labeled free-body diagram for the ball if the train is speeding up uniformly.

-for the first one i drew two vectors. one up. one down with the same magnitude and mastering physics said it was wrong. i don't know why?

What labels did you use for those two forces? Perhaps that was the problem.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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