Q142 / 180 · KCET 2009 · Physics
A body of mass $0.05 \mathrm{~kg}$ is observed to fall with an acceleration of $9.5 \mathrm{~ms}^{-2}$. The opposing force of air on the body is $\left(g=9.8 \mathrm{~ms}^{-2}\right)$
- Correct answerA$0.015 \mathrm{~N}$
- B$0.15 \mathrm{~N}$
- C$0.030 \mathrm{~N}$
- Dzero
Solution
From, Newton's laws of motion,

or $\begin{aligned} \mathrm{mg}-\mathrm{F}_{\mathrm{air}} &=\mathrm{ma} \\ \mathrm{F}_{\mathrm{air}} &=\mathrm{m}(\mathrm{g}-\mathrm{a}) \\ &=0.05(9.8-9.5) \\ &=0.015 \mathrm{~N} \end{aligned}$

or $\begin{aligned} \mathrm{mg}-\mathrm{F}_{\mathrm{air}} &=\mathrm{ma} \\ \mathrm{F}_{\mathrm{air}} &=\mathrm{m}(\mathrm{g}-\mathrm{a}) \\ &=0.05(9.8-9.5) \\ &=0.015 \mathrm{~N} \end{aligned}$
Hence, the correct answer is option: 'A'.