Question

The mass m and volume V of an object are

$LaTeX: m=4.6\pm0.2$

$LaTeX: V=1.4\pm0.1$

What is the density D = m/V of the object?

$LaTeX: \Delta D=$

Answer 1

The formula for density is given by, D = m/V

Therefore, D_av = 4.6/1.4 = 3.3

The error can be found by using the formula, $\frac{\Delta D}{D} = \frac{\Delta m}{m} + \frac{\Delta V}{V}$

$\frac{\Delta D}{D} = \frac{0.2}{4.6} + \frac{0.1}{1.4}$

$\Delta D$ = 0.115*3.3

$\Delta D$ = 0.4

I hope i was able to answer your question. If you need anymore explanation, please ask in comments. I would be happy to help.

Please rate the solution if you are satisfied with the solution.