Answer:
1868.58 kg/m³
Explanation:
From Archimedes principle,
R.d = Density of object/ density of liquid = Weight in air/ Upthrust.
D/D' = W/U ...................... Equation 1
Where D = density of the solid sphere, D' = density of liquid, W = weight of solid sphere in air, U = upthrust of solid sphere in liquid.
Making D' the subject of the equation,
D' = D(U/W)................... Equation 2
Recall,
U = W-T ..................... Equation 3
Where m = mass of the solid sphere, g = acceleration due to gravity.
W = mg ................. Equation 4
Where T = tension in the cord.
Given: m = 8.6 kg
constant: g = 9.81 m/s²,
Substitute into equation 4
W = 8.6(9.81)
W = 84.366 N.
Also given: T = 38 N
Substitute into equation 3
U = 84.366-38
U = 46.366 N.
Finally, substituting into equation 2,
given that D = 3400 kg/m³
D' = 3400(46.366/84.366)
D' = 1868.56 kg/m³
Hence the density of the liquid = 1868.58 kg/m³
