An object of volume 7.50×10−4m3 and density 1.15×103kg/m3 is completely submerged in a fluid. (a) Calculate the weight of this object. (b) Calculate the buoyant force on this

Respuesta :

Answer:

(a) 8.45 N

(b) There is not enough information to answer this. However, see the explanation to know how it could be done

Explanation:

(a) The mass of the object, m = density × volume

[tex]m = 1.15\times10^3 \times 7.50\times 10^{-4} \text{ kg} = 0.8625\text{ kg}[/tex]

Its weight is given by W = mg

where g is the acceleration of gravity.

Taking g as 9.8 m/s²,

W = 0.8625 × 9.8 = 8.45 N

(b) The buoyant force is the upthrust of the flurid on the object. By Archimede's Principle, this is equal to the weight of the fluid displaced.

To determine this weight of displaced fluid, we determine the mass from the density formula by multiplying its density by the volume displaced. The volume displaced is the volume of the object. Hence the buoyant force is given by

[tex]F_B = \rho_\text{fluid}\times V_\text{object}\times g[/tex]

We only need the density of the fluid to determine this.