Question

The masses of two bodies are measured
to be 15.7 + 0.2 kg and 27.3 + 0.3 kg.
What is the total mass of the two and the
error in it?
TAns: 43 ka to
51​

Answer 1

Answer: The total mass of the body is (43 ± 0.5) kg or 43 kg ± 1.162%.

The error in the total mass of the body is 0.01162 kg or 1.162%.

Explanation: The masses of the two bodies are given as (15.7±0.2) kg and (27.3±0.3) kg respectively.

Combined masses of the two body = (15.7 + 27.3) kg = 43 kg

Error/ uncertainty in the combined masses = (0.2 + 0.3) kg = 0.5 kg

Total mass of the two bodies = (43 ± 0.5) kg

Error/uncertainty in the total mass = (0.5/43) kg = 0.01162 kg

Percentage of error = (0.5/43) * 100 = 1.162 %