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 $\pm$ 0.01 m/s${}^2$, respectively, the mass of the object is

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

Answer 1

The correct option is C

10.0 $\pm$ 0.3 Kg

F=Ma

M=$\frac{f}{a}$

$\frac{\Delta M\times 100}{M}=\frac{\Delta f}{f}\times 100+\frac{\Delta a}{a}\times 100$

$=\frac{0.2}{10}+\frac{0.01}{1}$

$\Delta M=0.03\times 10$

$\therefore M=10\pm 0.3kg$