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Help with Tension problem
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[QUOTE="cepheid, post: 4587013, member: 4200"] First of all, the question asks what the ratio of the MAGNITUDES of the accelerations is. Magnitudes are always positive. Second, you can't write something like a[sub]1[/sub] = T/m[sub]1[/sub] = T. This is nonsense. m[sub]1[/sub] is not equal to 1.0 (a dimensionless number). It's equal to 1.0 kg, (a physical quantity, with dimensions of mass). You can't write an equation that says acceleration = force. You can't equate two different quantities that have different units. Your equations must be dimensionally consistent. You might think I'm just being picky, but I'm not. It's a fundamental error. You can only equate two physical quantities that have the same dimensions (a force to a force, a mass to a mass, an acceleration to an acceleration, etc.). [/QUOTE]
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