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Buoyant Force

Find the lift...

Question

Find the lifting force of a 4 kg cork lifebelt in sea water if the densities of cork and sea water are $0.2 \times 10^{3} k g / m^{3}$ and $1.03 \times 10^{3} k g / m^{3}$ respectively.

163 N

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273 N

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119 N

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289 N

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Solution

The correct option is A 163 N
Volume of cork life belt = $\frac{4}{0.2 \times 10^{3}} m^{3}$
= $2 \times 10^{- 2} m^{3}$
So mass of sea water displaced = $1.03 \times 10^{3} \times 2 \times 10^{- 2} k g$
= 20.6 kg
So, difference in buoyant force = 20.6 - 4
= 16.6 kg
hence force = $16.6 \times 9.8$
= 163 N

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