Question

In: Physics

You measure the following quantities as A = 1.0 m ± 0.2 m, B = 2.0...

You measure the following quantities as A = 1.0 m ± 0.2 m, B = 2.0 m ± 0.2 m

Calculate:

A+B=

AxB=

Expert Solution

When we add or subtract two numbers with uncertainties, the uncertainty of the result is the sum of the absolute uncertainties of the two numbers.

When we multiply or divide two numbers with uncertainties, the uncertainty of the result is the sum of the relative uncertainties of the two numbers.

The relative uncertainty of is

The relative uncertainty in A is

The relative uncertainty in B is

The relative uncertainty in the product is

The product is

The absolute uncertainty is

Therefore the product is

genius_generous answered 11 months ago

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