Discussion
A mass of liquid weighs 500N when exposed to standard earth's gravity g = 9.8 m/s2. Mass of the liquid will be:
Answer: C
The mass is 51 kg.
Weight is mass times gravitational acceleration, \(W = mg\), so the mass is the weight divided by g.
\[ \begin{aligned} m &= \frac{W}{g} = \frac{500\ \text{N}}{9.8\ \text{m/s}^2} \\ &\approx 51\ \text{kg} \end{aligned} \]
51 N has the right number but the unit of force, not mass. 4900 kg comes from multiplying by g instead of dividing, and \(1.96 \times 10^{-2}\) is the reciprocal, g divided by W.
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