A uniform plastic block floats in water with 50.0 % of its volume above the surface of the water. The block is placed in a second liquid and floats with 23.0 % of its volume above the surface of the liquid. What is the density of the second liquid?
Express your answer with the appropriate units.

density of second liquid = 650 kg/m³

Explanation:

Given that:

The volume of the plastic block submerged inside the water  = 0.5 V

The force on the plastic block  =

when the block is floating, the weight supporting the force (buoyancy force) is:

W

where;

water density = 1000

In the second liquid, the volume of plastic block in the water = (100-23)%

= 77% = 0.7 V

The force on the plastic block is:

when the block is floating, the weight supporting the force (buoyancy force) is: