5. An Atwood machine consists of two masses m₁ and m₂ (with m₁ > m₂) attached to the ends of a light string that passes over a light, frictionless pulley. When the masses are released, the mass m₁ is easily shown to accelerate down with an acceleration a = g M₁ M₂ m₁ + m₂ Suppose that m₁ and m₂ are measured as m₁ 98 ± 1.0 grams and m₂ = 73 + 0.90 grams. Derive an equation for the uncertainty in the expected acceleration in terms of the masses and their uncertainties, and then calculate a ±da for the given numbers. Please do not simplify your uncertainty equation. =
5. An Atwood machine consists of two masses m₁ and m₂ (with m₁ > m₂) attached to the ends of a light string that passes over a light, frictionless pulley. When the masses are released, the mass m₁ is easily shown to accelerate down with an acceleration a = g M₁ M₂ m₁ + m₂ Suppose that m₁ and m₂ are measured as m₁ 98 ± 1.0 grams and m₂ = 73 + 0.90 grams. Derive an equation for the uncertainty in the expected acceleration in terms of the masses and their uncertainties, and then calculate a ±da for the given numbers. Please do not simplify your uncertainty equation. =
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Transcribed Image Text:5. An Atwood machine consists of two masses m₁ and m₂ (with m₁ > m₂) attached to the
ends of a light string that passes over a light, frictionless pulley. When the masses are released,
the mass m₁ is easily shown to accelerate down with an acceleration
a = g
M₁ M₂
m₁ + m₂
Suppose that m₁ and m₂ are measured as m₁
98 ± 1.0 grams and m₂
= 73 +
0.90 grams. Derive an equation for the uncertainty in the expected acceleration in terms of
the masses and their uncertainties, and then calculate a ±da for the given numbers. Please
do not simplify your uncertainty equation.
=
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