Question

A raft is 2.35 m wide, 1.25 m long, and 0.365 m deep. What is the buoyant force on the raft, if only 0.125 m of the raft remains above water? (Take g = 10 m/s2)​

Answer 1

Given:-

• A raft is 2.35 m wide, 1.25 m long, and 0.365 m deep.
• 0.125 m of the raft remains above water

To Find:-

• Buoyant Force.

Solution:-

Buoyant Force- the buoyant force is the upward force exerted on an object that is wholly or partly immersed in a fluid.

Formula of Buoyant Force:-

$\huge\underline{\overline{\mid{\bold{\red{\mathcal{F= - V × D × \rho}}\mid}}}}$

Immersed Raft height= $0.365m - 0.125m$

$= > 0.24m$

The weight of the water displaced by the raft is equivalent to the buoyant force on the raft.

Now,

$F = 1000kg\ {m}^{ - 3} \times 10m {s}^{ - 2} \times (2.35 \times 1.25 \times 0.24)$

$=>F = 1000kg {m}^{ - 3} \times 10m {s}^{ - 2} \times 69.1$

$\therefore \: F = 6910N$