Respuesta :
The concept of systematic error can be shortened as the density is affected for each body, so the correct answers are
- The error is systematic and in both cases the density decreases.
The errors or uncertainties in the measurements are due to the fact that all the measuring instruments have an appreciation that gives a minimum reliable reading, when this error is introduced in the formulas the uncertainty increases.
Errors can be classified into:
- Random. These are fluctuations in the measurement process that cannot be foreseen, for example: temperature changes. In general, statistical methods can be applied to these errors to reduce their influence on the final results.
- Systematic. This type of error systematically skews the measurement somewhere. In general, these errors are due to problems with the experimental method, deformations in the bodies to be measured or problems with the instruments. Statistical methods cannot be applied to this type of error.
In the case presented, we want to measure the density
[tex]\rho = \frac{m}{V}[/tex]
Where ρ is the density, m the plus and V the volume
Let's analyze the errors in these two quantities.
The mass is measured with a scale and its error is the assessment of the scale; the value of the mass does not influence the deformations of the body even when the lack of material gives a decrease in the mass.
The volume of the body is calculated by formulas that depend on the shape of the body:
ingot V = l w h
coin V = π r² e
Whera l, w and h are the length, width and height, r is the raius and e thickness
Therefore, the uncertainty in the measurements of the masses, length and thickness of the body must be analyzed,
Let's analyze for each body:
The ingot
In measurements on the ingot by the rounded edges the mass is slightly less than for the rectangular ingot.
The volume does not change since the measurement of the lengths is carried out near the center of the rectangle, not its ends.
If the mass is less and the volume is maintained, the calculated density must be less than the real one
The coin
In the case of the coin, the amount of matter has not changed, so the measurement of the mass must be maintained.
As the edge of the coin is wider the thickness of the coin increases, the diameter does not change therefore when using the equation the volume must increase.
When realizing the relationship between the moass that is constant and the volume that was increased, the density should decrease
Consequently for the coin the measured density is less than the real density.
These errors are systematic since they affect the result towards a specific side, in both cases the density decreases.
In conclusion, using the concepts of systematic error we were able to shorten how the density is affected for each body, so the correct answers are:
- In both cases the density decreases
Learn more about systematic errors here:
https://brainly.com/question/16886185
