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Addition & Subtraction of Errors

The mass of M...

Question

The mass of Mr x is 50kg and the uncertainty in measurement is 1 kg.The mass of Mr y is 55kg and the uncertainty in measurement is 2 kg. Find the difference of their masses with correct uncertainties.

105 $\pm$ 3 kg

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5 $\pm$ 1 kg

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5 $\pm$ 3 kg

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None of these

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Solution

The correct option is C
5 $\pm$ 3 kg

When you add or subtract observations the uncertainties get added.
Weight of X is 50 $\pm$ 1kg
Weight of Y is 55 $\pm$ 2kg
Difference in mass is 5kg (55-50)
Uncertainty is $\pm$ 3(1+2)
So difference in masses is 5 $\pm$ 3kg.

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The mass of Mr x is 50kg and the uncertainty in measurement is 1 kg.The mass of Mr y is 55kg and the uncertainty in measurement is 2 kg. Find the difference of their masses with correct uncertainties.

The correct option is C 5 ± 3 kg When you add or subtract observations the uncertainties get added. Weight of X is 50 ± 1kg Weight of Y is 55 ± 2kg Difference in mass is 5kg (55-50) Uncertainty is ± 3(1+2) So difference in masses is 5 ± 3kg.

The correct option is C
5 $\pm$ 3 kg

When you add or subtract observations the uncertainties get added.
Weight of X is 50 $\pm$ 1kg
Weight of Y is 55 $\pm$ 2kg
Difference in mass is 5kg (55-50)
Uncertainty is $\pm$ 3(1+2)
So difference in masses is 5 $\pm$ 3kg.