Answer:
V = 0.05 m^3
Explanation:
The weight of the object of mass (m) and volume (V) in water is: 275 N and it is calculated using the buoyancy formula:
275 N = m g - V (dw) g
where (dw) is the density of water (1000 kg/m^3)
The weight of the object in oil is 325 N and it is calculated using the buoyancy formula as:
325 N = m g - V (do) g
where "do" is the density of oil which is: 0.9 x 1000 kg/m^3 = 900 kg/m^3
Therefore, subtracting term by term the two equations:
325 N -275 N = mg - mg - V (do) g + V (dw) g
50 N = V g (dw - do)
50 N = V g (1000 - 900)
50 N = V g (100)
solving for V (which will result in units of m^3):
V = 50 / 981 m^3
V = 0.05 m^3
