A raft of wood (density 600 kg/m3) of mass 150 kg floats in water. How much weight can be put on the raft to make it just sink?
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a
120 kg
b
200 kg
c
80 kg
d
100 kg
answer is D.
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Detailed Solution
Volume of raft = V = massdensityV = 150600 = 14m3When the raft is totally immersed in water, it displaces 14m3 water. so the upthrust.= 14×1000×g newtonIf x kg is the extra weight put on the raft to fully immerse it in water, then(x+150)g = 14 x 1000 x g or = x+150 = 250x = 100 kg