A boat is 4.0meters long and 2.0meters wide. Its water line is 1.0meter from the bottom of the boat; it is submerged to this water line. What is the mass of the boat? A. 8000kgB. 600kgC. 130kgD. 800kgE. 200kg

option A

Explanation:

given,

Length of boat = 4 m

width of boat = 2 m

height up to which water is displaced = 1 m

Volume of water displaced by the boat

V = L x B x H

V = 4 x 2 x 1

V = 8 m³

buoyant force acting on the boat

F_b = ρ g V

m g = ρ g V

m = ρ V

ρ is the density of water which is equal to 1000 Kg/m³

m = ρ V

m = 1000 x 8

m = 8000 Kg

hence, mass of the boat is equal to 8000 Kg

so, the correct answer is option A