(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Bouyant force

1. A ferry boat is 4.0 m wide and 6.0 m long. When a truck pulls onto it, the boat sinks 4.00 cm (0.04 m) in the water. What is the weight of the truck?

2. F(sub: B) = F(sub: g)[displaced fluid] = m(sub: f)g

(magnitude of bouyant force = weight of the fluid displaced)

F(sub: B) = F(sub: g)[object] = m(sub: o)g

bouyant force = weight of floating object

m = ρV

(mass = density × volume)

3. Well, the voulme of the boat is (4.0 m)(6.0 m)(0.04 m) = (0.96 m³); I mean, the volume of the displaced water is that. ;)

Density of fresh water = 1.00 × 10³ kg/m³

F = ρV(g)

F = (1.00 × 10³ kg/m³)(0.96 m³)(9.81 m/s²)

F = 9.4 × 10³ N

Am I correct?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Bouyant force

**Physics Forums | Science Articles, Homework Help, Discussion**