Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

9. model limitation: give one limitation of a scale model of the solar …

Question

  1. model limitation: give one limitation of a scale model of the solar system.
  2. percent error: accepted density of aluminum is 2.70 g/cm³. your result is 2.50 g/cm³. calculate % error.

Explanation:

9.
Brief Explanations

Scale models cannot represent true distances and sizes accurately due to physical space limitations. For example, it's hard to show the vastness of inter - planetary distances in a contained space.

Step1: Recall the percent - error formula

The percent - error formula is $\text{Percent Error}=\frac{\vert\text{Experimental Value}-\text{Accepted Value}\vert}{\text{Accepted Value}}\times100\%$.

Step2: Identify the values

The experimental value is $2.50\ g/cm^{3}$ and the accepted value is $2.70\ g/cm^{3}$.

Step3: Calculate the difference

$\vert2.50 - 2.70\vert=\vert- 0.20\vert = 0.20$.

Step4: Calculate the fraction

$\frac{0.20}{2.70}\approx0.0741$.

Step5: Calculate the percent error

$0.0741\times100\% = 7.41\%$.

Answer:

It cannot accurately represent the vast inter - planetary distances due to space constraints.

10.