A solid of density 1800kg/m³ and volume 0.0015m³ is completely immersed in a liquid of density 800kg/m³ ,the apparent weight of solid in liquid is
Answers
Answer:
A solid of density 2700 kgm' and of volume 0.0015 m3 ¡s completely immersed in alcohol of density 800 kgm'.Calculate : ... kg. Upthrust = Weight of liquid displaced by the glass cylinder
Explanation:
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Answer:
14.7 N
Explanation:
Apparent weight is the weight of the body when it is freely suspended in a liquid
The reason for the apparent weight is because of buoyancy force acting on the body
Given,
Density of the solid (ρ) = 1800 kg/m³
Volume of the solid (V) = 0.0015 m³
We know that Density = Mass / Volume
Therefore,
Mass = Density x Volume
Applying the above formula,
Mass of the solid (m) = Density of the solid (ρ) x Volume of the solid (V)
m = 1800 x 0.0015
m = 2.7 kg
We know that the buoyancy force produced by the liquid on the body is equal to the
buoyancy force produced by the liquid on the body is equal to the Volume of the body immersed in the liquid x Density of the liquid x Acceleration due to gravity
Buoyancy force = V x ρ' x g , ρ' is the density of the liquid
Applying the above formula to find the buoyancy force applied by the liquid on the body,
Buoyancy force = 0.0015 x 800 x 9.8
Buoyancy force = 11.76 N
We know that Weight = Mass x Acceleration due to the gravity
W = mg
Applying the above formula,
Weight of the body = 2.7 x 9.8 = 26.46 N
To find the apparent weight of the body we have subtract the buoyancy force from weight of the body,
Apparent weight = Weight of the body - Buoyancy force
Applying the above formula,
Apparent weight = 26.46 - 11.76 = 14.7 N
Therefore,
The apparent weight of the body in the liquid = 14.7 N