First slide

Accuracy; precision of instruments and errors in measurements

Question

A body of mass $m = 3.513 kg$ is moving along the X-axis with a speed of $5.00 {ms}^{- 1}$ . The magnitude of its momentum is recorded as

Easy

A

$17.6 kg - {ms}^{- 1}$
B

$17.565 kg - {ms}^{- 1}$
C

$17.56 kg - {ms}^{- 1}$
D

$17.57 kg - {ms}^{- 1}$

Solution

Momentum, $p = m v = 3.513 \times 5.00$
$= 17.565 kg - {ms}^{- 1}$
As the number of significant digits in m is 4 and v is 3, so p must have 3 (minimum) significant digits. Hence,
$p = 17.6 kg - {ms}^{- 1}$

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