Numerical Problems from Pressure, Density and Floatation
1. Ramesh buys 6 bottles of syrup each containing 1litre. Each empty bottle weighs 400g. The density of syrup is 1.2 g/cm3. What weight does Ramesh have to carry home?
2. The volume of 900g of a substance is 1000 cm3. Will the substance sink or float in water if the density of water is 1g/cm3. What will be the mass of water displaced by the substance?
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A problem from Hydraulic
Ali Asked:
“a stone of [wiki]density [/wiki] 4gm/cm3 is dropped freely in a liquid of density 0.8 gm/cm3 .what will be the acceleration of the sinking stone?”
Ans:
the force acting are
weight =mg= downwards (where
is the density of the body)
[wiki]Buoyant force[/wiki] =
SO, THE NET DOWNWARD [wiki]FORCE [/wiki]IS
Therefore, acceleration = net downward force / mass
=
=
Now substitute the values and calculate
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