In: Physics
The gravitational force exerted on a solid object is 5.70 N. When the object is suspended from a spring scale and submerged in water, the scale reads 2.10 N (figure). Find the density of the object.
Gravitational acceleration = g = 9.81 m/s2
Density of water = w = 1000 kg/m3
Density of the object =
Weight of the object = W = 5.7 N
Volume of the object = V
Reading of the scale when the object in when submerged in water = Wa = 2.1 N
Buoyancy force on the object when it is submerged in water = Fb
The actual weight of the object is supported by the buoyancy force on it and the force the scale exerts on the object.
= 1583.3 kg/m3
Density of the object = 1583.3 kg/m3