Question

the masses of two bodies are observed as m1 = 23.6 ± 0.5 kg and m2 = 17.6± 0.4 kg respectively find

the sum of the masses of the bodies​

Answer 1

Given :

The masses of two bodies are observed as

• m₁ = 23.6 ± 0.5 kg
• m₂ = 17.6 ± 0.4 kg

To Find :

The sum of the masses of the bodies$.$

Solution :

❖ In all mathematical operations, the errors are of addictive nature.

A] Total mass of both bodies :

➙ m = m₁ + m₂

➙ m = 23.6 + 17.6

➙ m = 41.2 kg

B] The error in measurement of mass :-

➙ ∆m = ∆m₁ + ∆m₂

➙ ∆m = 0.5 + 0.4

➙ ∆m = 0.9 kg

Hence, the sum of the masses along with error is

• (m ± ∆m) = (41.2 ± 0.9) kg

Knowledge BoosteR :

• Least count errors are the random errors but within a limited size; they occur with both random and systematic errors.
• The accuracy of measurement is related to the systematic errors but its precision is related to the random errors, which include least count error also.
• The principle of homogeneity of dimensions is used in checking the correctness of formulae, and also in the derivation of formulae.