A 100 kg boat is floating in water. Half of the boat is submerged under water. What is the weight of the boat?
Responses
0 N
0 N
490 N
490 N
980 N
980 N
50 kg
980 N
The weight of the boat can be calculated using the formula: Weight = mass × gravitational acceleration. In this case, the mass of the boat is given as 100 kg.
Since half of the boat is submerged under water, we can assume that the buoyant force acting on the boat is equal to the weight of the water displaced by the submerged part of the boat.
The buoyant force is given by: Buoyant force = density of water × volume of water displaced × gravitational acceleration.
Since the density of water and gravitational acceleration are constant, the buoyant force is directly proportional to the volume of water displaced.
Half of the boat is submerged, so the volume of water displaced is equal to half the total volume of the boat.
Let's assume that the density of water is 1000 kg/m³ (which is the approximate density of fresh water).
Using this information, we can calculate the weight of the boat.