Answer: the weight of the boat is approximately 267.975 N.
Step-by-step explanation:
The weight of the boat can be calculated as follows:
Find the buoyant force acting on the boat:
The buoyant force is equal to the weight of the water displaced by the boat. Since half of the boat is submerged under water, the buoyant force is equal to the weight of the volume of water equal to half the volume of the boat.
The density of water is approximately 1000 kg/m³. The volume of the boat is equal to the volume of the water displaced by the boat. Therefore, the volume of water displaced by the boat is:
(1/2) x (volume of the boat)
The weight of this volume of water is:
(weight of water) = (density of water) x (volume of water) x (acceleration due to gravity)
(weight of water) = 1000 kg/m³ x (1/2) x (volume of the boat) x 9.81 m/s²
Find the weight of the boat:
The weight of the boat is equal to its mass times the acceleration due to gravity:
(weight of the boat) = (mass of the boat) x (acceleration due to gravity)
(weight of the boat) = 55 kg x 9.81 m/s²
Now, we can calculate the weight of the boat as:
(weight of the boat) = (weight of water displaced by the boat)
(weight of the boat) = 1000 kg/m³ x (1/2) x (volume of the boat) x 9.81 m/s²
55 kg x 9.81 m/s² = 1000 kg/m³ x (1/2) x (volume of the boat) x 9.81 m/s²
(volume of the boat) = 55 kg / (1000 kg/m³ x (1/2))
(volume of the boat) = 0.055 m³
(weight of the boat) = (weight of water displaced by the boat)
(weight of the boat) = 1000 kg/m³ x (1/2) x 0.055 m³ x 9.81 m/s²
(weight of the boat) = 267.975 N
Therefore, the weight of the boat is approximately 267.975 N.