Question

What is the upthrust force on the boat when a small boat weighs 1000newton float in water?

Answer 1

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.