An object weighing 336 N in air is immersed in water after being tied to a string connected to a balance. The scale now reads 256 N. Immersed in oil, the object appears to weigh 277 N.
(a) Find the density of the object
_______ kg/m3
(b) Find the density of the oil.
________kg/m3
Gravitational acceleration = g = 9.81 m/s2
Density of water = w = 1000 kg/m3
Density of oil = o
Density of object =
Weight of object in air = W1 = 336 N
Scale reading when object is immersed in water = W2 = 256 N
Scale reading when object is immersed in oil = W3 = 277 N
Volume of the object = V
When the object is immersed in water,
W2 = W1 - wVg
256 = 336 - (1000)(9.81)V
V = 8.155 x 10-3 m3
W1 = Vg
336 = (8.155x10-3)(9.81)
= 4199.97 kg/m3
When the object is immersed in oil,
W3 = W1 - oVg
277 = 336 - o(8.155x10-3)(9.81)
o = 737.49 kg/m3
a) Density of the object = 4199.97 kg/m3
b) Density of oil = 737.49 kg/m3
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