The masses of two bodies are measured to be 15.7 ± 0.2 kg and 27.3 ±

1.	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?
Answer» Given: A ± ∆A = 15.7 ± 0.2kg and B ± ∆B = 27.3 ± 0.3 kg. To find: Total mass (Z), and total error (∆Z) Formulae: i. Z = A + B ii) ±∆Z = ±∆A ± ∆B Calculation: From formula (i), Z = 15.7 + 27.3 = 43 kg From formula (ii), ± ∆Z (± 0.2) + (± 0.3) =±(0.2 + 0.3) = ± 0.5 kg Total mass is 43 kg and total error is ± 0.5 kg.

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?

Answer»

Given: A ± ∆A = 15.7 ± 0.2kg and

B ± ∆B = 27.3 ± 0.3 kg.

To find: Total mass (Z), and total error (∆Z)

Formulae: i. Z = A + B

ii) ±∆Z = ±∆A ± ∆B

Calculation: From formula (i),

Z = 15.7 + 27.3 = 43 kg

From formula (ii),

± ∆Z (± 0.2) + (± 0.3)

=±(0.2 + 0.3)

= ± 0.5 kg

Total mass is 43 kg and total error is ± 0.5 kg.