a boat weights 10,000 newtons what is the magnitude of buoyant force acting on boat in the fliud
To calculate the magnitude of the buoyant force acting on a boat in a fluid, you need to know the weight of the fluid displaced by the boat. The magnitude of the buoyant force is equal to the weight of the fluid displaced.
The weight of the fluid displaced by an object can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by an object. In this case, the fluid is water.
Here are the steps to calculate the magnitude of the buoyant force:
1. Find the volume of the fluid displaced by the boat. The volume of an object can be calculated using its weight and the density of the fluid it is submerged in.
2. Now, since the weight of the boat is given as 10,000 newtons, we need to convert this weight into mass. To convert newtons to kilograms, we divide the weight by the acceleration due to gravity, which is approximately 9.8 m/s^2.
Mass = Weight / Acceleration due to gravity
Mass = 10,000 N / 9.8 m/s^2
3. Once you have the mass of the boat, you can determine the volume of water displaced by using its density. The density of water is approximately 1000 kg/m^3.
Volume of water displaced = Mass of boat / Density of water
4. Finally, the magnitude of the buoyant force acting on the boat is equal to the weight of the water displaced by the boat.
Buoyant force = Weight of water displaced
By following these steps, you can find the magnitude of the buoyant force acting on the boat in the fluid.