One way to measure the water content of a soil is to weigh the soil both before and after drying it in an oven. The water content is W = (M1 − M2)/M1, where M1 is the mass before drying and M2 is the mass after drying. Assume that M1 = 1.32 ± 0.01 kg and M2 = 1.04 ±0.01 kg.a) Estimate W, and find the uncertainty in the estimate.b) Which would provide a greater reduction in the uncertainty in W: reducing the uncertainty in M1 to 0.005 kg or reducing the uncertainty in M2 to 0.005 kg?
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One way to measure the water content of a soil is to weigh the soil both before and after drying it in an oven. The water content is W = (M1 − M2)/M1, where M1 is the mass before drying and M2 is the mass after drying. Assume that M1 = 1.32 ± 0.01 kg and M2 = 1.04 ±0.01 kg.
a) Estimate W, and find the uncertainty in the estimate.
b) Which would provide a greater reduction in the uncertainty in W: reducing the uncertainty in M1 to 0.005 kg or reducing the uncertainty in M2 to 0.005 kg?
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