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# physics

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Amy measured the density of copper as 7.2 × 103 kg.m-3. Jamie measured it as 8.1 × 103 kg.m-3. (a) Calculate the percent difference between the two measurements. (b) If the actual density of copper is 8.93 × 103 kg.m-3, calculate the percent error in each of the measurement.

Jun 11, 2021

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A's measurement = 7.2 × 10kg/m3

= 7200 kg/m3

J's measurement = 8.1 × 103 kg/m3

= 8100 kg/m3

a) Average of measurements $$={8100+7200 \over 2}$$

$$= 7650$$

⇒ % difference $$={8100-7200 \over 7650}×100$$

$$=11.76$$%

b) Actual density of Cu = 8.93 × 103 kg/m3

= 8930 kg/m3

Now, % error in A's $$={8930-7200 \over 8930}×100$$

$$=19.4$$%

% error in J's $$={8930-8100 \over 8930}×100$$

$$=9.3$$%

Hope you got it. Thanks.

Jun 11, 2021