Question

A block has a weight of 50 N when it is measured on a spring scale. The spring scale then measures 32 N when the block is submerged in water that has a density of 1000 kg/m³. What is the volume of the block in m³?

Answer 1

Force of buoyancy is given by

Where V is volume of displaced liquid or submerged block, is density of the fluid, g is acceleration due to gravity.

The force of buoyancy always push the block in upward direction. So it will reduce the weight of the block inside the water.

Therefore, we can write

or,

or,

or,  

This is the volume of the block.