Question

In an experiment, mass of an object is measured by applying a known force on it, and then measuring its acceleration. If, in the experiment, the measured values of applied force and the measured acceleration are $F=10.0\pm 0.2N$ and $a=1.00\pm 0.01m/s^2$, respectively, the mass of the object is

• A. $10.0Kg$
• B. $10.0\pm 0.1Kg$
• C. $10.0\pm 0.3Kg$
• D. $10.0\pm 0.4Kg$

Answer 1

The correct option is C $10.0\pm 0.3Kg$

$F=Ma$
$M=\frac{f}{a}$
$\frac{\Delta M\times 100}{M}=\frac{\Delta f}{f}\times 100+\frac{\Delta a}{a}\times 100$
$=\frac{0.2}{10}+\frac{0.01}{1}$
$\Delta M=0.03\times 10$
$\therefore$ $10.0\pm 0.3Kg$