- #1
Lunar Guy
- 17
- 0
[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 volume 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?
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 volume 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?
Last edited: