a metal object is suspended from a spring scale. the scale reads 921 N when the object is suspended in air, and 717 N when the object is completely submerged in water. The acceleration of gravity is 9.8 m/s^2. Find the volume of the object and its density ?Find the volume of the object and its density ?
f = ma
m = f/a = 921 / 9.8 = 94 kg (m = mass)
the force lifting the object equal to the waight of a volume of water same as the volume of the object
as for the force lifting the object
= 921 - 717 = 204N
the wight of the water 204/9.8 = 20.81 Kg
water density = 1000 kg/m^3 at 4Co
volume of the water = mass / density
= 20.81 / 1000 = 0.0208 m^3
which is the same as the volume of the object
the density of the object = mass / volume
= 94 / 0.0208 = 4519.23 kg / m^3
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