A weight is measured to be 50 kg with a possible error of 1 kg. What is the perc

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Question: A weight is measured to be 50 kg with a possible error of 1 kg. What is the percentage error in the measurement?

Options:

Correct Answer: 2%

Solution:

Percentage error = (Absolute error / Measured value) * 100 = (1 / 50) * 100 = 2%

A weight is measured to be 50 kg with a possible error of 1 kg. What is the percentage error in the measurement?

A weight is measured to be 50 kg with a possible error of 1 kg. What is the percentage error in the measurement?

Step 1: Identify the measured value, which is 50 kg.
Step 2: Identify the absolute error, which is 1 kg.
Step 3: Use the formula for percentage error: Percentage error = (Absolute error / Measured value) * 100.
Step 4: Substitute the values into the formula: Percentage error = (1 kg / 50 kg) * 100.
Step 5: Calculate the division: 1 kg / 50 kg = 0.02.
Step 6: Multiply by 100 to find the percentage: 0.02 * 100 = 2%.
Step 7: Conclude that the percentage error in the measurement is 2%.

Percentage Error – Percentage error is a way to express the accuracy of a measurement by comparing the absolute error to the measured value.