What is the upthrust force on the boat when a small boat weighs 1000newton float in water?
The upthrust force on the boat is equal to the weight of the water displaced by the boat.
Assuming that the density of water is approximately 1000 kg/m^3, we can convert the weight of the boat to mass by dividing by the acceleration due to gravity (g = 9.81 m/s^2):
mass of boat = 1000 N / 9.81 m/s^2 = 101.94 kg
The volume of water displaced by the boat can be calculated as:
volume of water displaced = mass of boat / density of water
= 101.94 kg / 1000 kg/m^3
= 0.10194 m^3
The upthrust force on the boat is therefore:
upthrust force = weight of water displaced = volume of water displaced x density of water x acceleration due to gravity
= 0.10194 m^3 x 1000 kg/m^3 x 9.81 m/s^2
= 999.8 N
So the upthrust force on the boat is approximately 999.8 N.
The upthrust force, also known as the buoyant force, is the force exerted by a fluid on an immersed object. To calculate the upthrust force on a boat floating in water, you need to consider Archimedes' principle.
Archimedes' principle states that the buoyant force exerted on an object immersed in a fluid is equal to the weight of the fluid displaced by the object.
Step 1: Determine the weight of the fluid displaced
Since the boat is floating in water, the weight of the fluid displaced by the boat is equal to the weight of the boat. You mentioned that the boat weighs 1000 Newtons, so the weight of the displaced fluid is also 1000 Newtons.
Step 2: Calculate the upthrust force
The upthrust force, or buoyant force, is equal to the weight of the displaced fluid. Therefore, the upthrust force on the boat is 1000 Newtons.
So, the upthrust force on the boat when it weighs 1000 Newtons and floats in water is also 1000 Newtons.