An Atwood machine consists of two masses m1 and 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=100+/-1 gram and m2=50+/-1 gram. 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.
An Atwood machine consists of two masses m1 and 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=100+/-1 gram and m2=50+/-1 gram. 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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- An Atwood machine consists of two masses m1 and 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=100+/-1 gram and m2=50+/-1 gram. 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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