First slide

Accuracy; precision of instruments and errors in measurements

Question

The percentage errors in the measurement of mass and speed are 2% and 3%, respectively. How much will be the maximum error in the estimation of KE obtained by measuring mass and speed?

Easy

A

5%
B

1%
C

8%
D

11%

Solution

$\begin{array}{l} Kinetic energy, E = \frac{1}{2} m v^{2} \\ \begin{aligned} \frac{Δ E}{E} \times 100 & = \frac{Δ m}{m} \times 100 + 2 \frac{Δ v}{v} \times 100 \\ = 2 + 2 \times 3 = 8 % \end{aligned} \end{array}$

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