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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?

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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