A boat floating in water has a mass of 1000kg. What is the upthrust on it?

1 answer

The upthrust on an object floating in water is equal to the weight of the water displaced by the object.

To calculate the upthrust on the boat, we first need to determine the volume of water displaced by the boat. This can be done by using Archimedes' principle, which states that the buoyant force acting on an object is equal to the weight of the fluid displaced by the object.

The density of water is 1000 kg/m^3, so the volume of water displaced by the boat can be calculated as follows:

Volume = Mass / Density
Volume = 1000 kg / 1000 kg/m^3
Volume = 1 m^3

Now that we know the volume of water displaced by the boat is 1 m^3, we can calculate the upthrust on the boat:

Upthrust = Weight of water displaced
Upthrust = Density of water x Volume x Acceleration due to gravity
Upthrust = 1000 kg/m^3 x 1 m^3 x 9.81 m/s^2
Upthrust = 9810 N

Therefore, the upthrust on the boat is 9810 N.