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An Atwood machine consists of two masses ?1 and ?2 (with ?1 > ?2) attached to...

An Atwood machine consists of two masses ?1 and ?2 (with ?1 > ?2) attached to the ends of a light string that passes over a light, frictionless pulley. When the masses are released, the mass ?1 is easily shown to accelerate down with an acceleration ? = ? ((?1 − ?2) / ( ?1 + ?2)). Suppose that ?1 and ?2 are measured as ?1 = 100 ± 1 ???? and ?2 = 50 ± 1 ????. Derive a formula of the uncertainty in the expected acceleration in terms of the masses and their uncertainties, and then calculate ?? for the given numbers.

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