Aboat has a mass of 20 kg and will carry 110 kg of passengers across a pool. if 50% of the boat is submerged, what is the total volume of the boat?

0.26 m³

Explanation:

There are three forces on the boat: weight of the boat, weight of the passengers, and buoyancy.

∑F = ma

B - mg - Mg = 0

Buoyant force is equal to the weight of the fluid displaced.

ρVg - mg - Mg = 0

ρV - m - M = 0

V = (m + M) / ρ

Given m = 20 kg, M = 110 kg, and ρ = 1000 kg/m³:

V = (20 + 110) / 1000

V = 0.13 m³

Since this is half of the boat's volume, the total volume is 0.26 m³.

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