A solid block is suspended from a spring scale. When the block is in air, the sc

Question

A solid block is suspended from a spring scale. When the block is in air, the scale reads 37.1 N, when immersed in water the scale reads 32.2N, and when immersed in oil the scale reads33.0 N. a) What is the density of the block? b)What is the density of the oil? A solid block is suspended from a spring scale. When the block is in air, the scale reads 37.1 N, when immersed in water the scale reads 32.2N, and when immersed in oil the scale reads33.0 N. a) What is the density of the block? b)What is the density of the oil?

Explanation / Answer

a)

m = 37.1/9.8 = 3.786 kg

buoyant force = (37.1-32.2) = 4.9 N

weight of the displaced water = 4.9 N

rho*g*V = 4.9

V = 4.9/1000*9.8

= 5*10^-4 m^3

density of the block = m/V = 4.9/5*10^-4 = 9800 kg/m^3

b)

buoyant force = (37.1-33) = 4.1 N

weight of the displaced oil = 4.1 N

rho*g*V = 4.9

rho = 4.1/g*V

= 4.1/(9.8*5*10^-4)

= 836.74 kg/m^3

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