A block of wood of mass 20 kg is floating on surface of water. When additional 4 kg mass is kept on top of the
block, it just sinks into the water. What is the volume of the block? What is the density of the block
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ANSWER
Given,
Density of log, ρ
L
=600kgm
−3
Density of water, ρ
W
=1000kgm
−3
Weight of wood log, =mg=20×10=200N
Volume of log is V=
ρ
L
m
600
20
=
30
1
m
2
Weight of water displaced by log is =ρgV=1000×10×
30
1
=
3
1000
N
Buoyancy force, F
b
=
3
1000
−200=133.33N
Hence, weight greater then 133.33Nis required to sink the wood log.
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