A buoyant force of 26N acts on a piece of mass that is completely immersed in water. What is the volume of the mass? Density of water= 1,000kg/m3Question 9Answera.26×10-7m3b.26×10-4m3c.26×10-9m3d.26×10-2m3

The buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. This is known as Archimedes' principle.

The buoyant force (F) can be calculated using the formula:

F = ρ * V * g

where: ρ is the density of the fluid, V is the volume of the fluid displaced (which is equal to the volume of the object when it is completely submerged), and g is the acceleration due to gravity.

We can rearrange this formula to solve for V:

V = F / (ρ * g)

Given: F = 26 N, ρ = 1,000 kg/m³, and g = 9.8 m/s² (approximate value for the acceleration due to gravity on the surface of the Earth).

Substituting these values into the formula, we get:

V = 26 N / (1,000 kg/m³ * 9.8 m/s²) = 0.00265306122 m³ = 2.65 x 10^-3 m³.

So, the volume of the mass is 2.65 x 10^-3 m³, which is closest to option d. 26 x 10^-2 m³.