If the mass of an object is measured as 10.0 kg with an uncertainty of ±0.2 kg,

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Question: If the mass of an object is measured as 10.0 kg with an uncertainty of ±0.2 kg, what is the percentage error in the mass measurement?

Options:

Correct Answer: 1%

Solution:

Percentage error = (absolute error / measured value) * 100 = (0.2 / 10.0) * 100 = 2%.

If the mass of an object is measured as 10.0 kg with an uncertainty of ±0.2 kg, what is the percentage error in the mass measurement?

If the mass of an object is measured as 10.0 kg with an uncertainty of ±0.2 kg, what is the percentage error in the mass measurement?

Step 1: Identify the measured value of the mass, which is 10.0 kg.
Step 2: Identify the absolute error, which is the uncertainty of the measurement, ±0.2 kg.
Step 3: Calculate the percentage error using the formula: Percentage error = (absolute error / measured value) * 100.
Step 4: Substitute the values into the formula: Percentage error = (0.2 / 10.0) * 100.
Step 5: Perform the division: 0.2 divided by 10.0 equals 0.02.
Step 6: Multiply the result by 100 to convert it to a percentage: 0.02 * 100 equals 2%.
Step 7: Conclude that the percentage error in the mass measurement is 2%.

Percentage Error Calculation – This concept involves calculating the percentage error by comparing the absolute error to the measured value.
Uncertainty in Measurements – Understanding how uncertainty affects the precision of measurements and how it is represented.