The force of gravity acting on the vessel is 100000kn what volume of water the vessel displaces. a raft floating
The force of gravity acting on the vessel is 100000kn what volume of water the vessel displaces. a raft floating on a river has an area of 8 m2 after the load was placed on it, its draft increased by 20 cm what is the weight of the load placed on the raft.
1)
If the body floats in water, then the force of Archimedes is equal to its weight. Archimedes’ strength is determined from the formula:
F = V * ρ * g,
where
V is the volume of water displaced by the body,
ρ = 1000kg / m ^ 3 – water density,
g = 10m / s ^ 2 – acceleration of gravity,
P = 100000 kN = 10 ^ 8 N;
P = F = V * ρ * g
V = P / (ρ * g) = 10 ^ 8 / (10000) = 10000m ^ 3.
2)
To hold the load, the raft additionally drains out water with a volume
V = S * h,
where
S = 8m ^ 2,
h = 20cm = 0.2m;
V = S * h = 1.6m ^ 3;
The weight of the cargo is:
P = F = V * ρ * g = 1.6 * 1000 * 10 = 16000N = 16kN.