Question

The weight of water displaced by an iron object is 10 kg. The buoyant force acting on the iron object is___________.

Answer 1

Step 1: Given Parameter

The weight of water displaced by water, $m=10\mathrm{kg}$

Step 2: Concept used

Buoyant force:

1. The buoyant force is the upward force exerted on an item immersed in a fluid, either completely or partially.
2. Upthrust is the name for this upward force. A body submerged partially or totally in a fluid looks to lose weight i.e. appears to be lighter, due to the buoyant force.

Step 3: Formula Used

Use the expression below to calculate the buoyant force.

$\mathrm{Buoyant}\mathrm{force}\left(\mathrm{W}\right)=\mathrm{Weight}\mathrm{of}\mathrm{liquid}\mathrm{displaced}\mathrm{by}\mathrm{the}\mathrm{body}\left(mg\right)$

$W=mg...\left(1\right)$

Here $W$ is the buoyant force acting, $m$ is the weight of water displaced, and $g$ is the acceleration due to gravity = $9.8m/s^2$

Step 4: Calculation

Substitute the given values in equation (1).

$W=10\times 9.8$

$W=98N$

Hence, the buoyant force acting on the iron object is $98\mathrm{N}$.