disneygirl828 said:Homework Statement
A boat full of people lazily drifts along in Lake Superior. The boat has a mass, including people of 15,450kg.
A. What is the buoyant force?
B. What is the volume of the displaced liquid in cubic meters?
The Attempt at a Solution
A. Fb=mg
Fb=?
m=15,450kg
g= 10m/s
(15450kg)(10m/s)
=154500kg*m/s^2
B.
=154500m^3
so the volume of the displaced water would be 15450kg? How do you convert kg*m/s^2 to Newtons?gneill said:While "154500kg*m/s^2" is technically correct, it is usual practice to convert the "kg*m/s^2" units to its well-known designation "N" for Newtons, the unit of force.
The displaced water should be equivalent in weight to the weight of the boat. Your value for the volume of displaced water is too large. What is the density of water in kg/m3?
disneygirl828 said:so the volume of the displaced water would be 15450kg? How do you convert kg*m/s^2 to Newtons?
The buoyancy force of a boat is the upward force exerted by water on the boat, counteracting the weight of the boat and allowing it to float.
The buoyancy force can be calculated using Archimedes' principle, which states that the buoyancy force is equal to the weight of the water displaced by the boat.
The buoyancy force of a boat is affected by factors such as its shape, size, and weight, as well as the density and volume of water it displaces.
The buoyancy force acts in an upward direction, equal to the weight of the water displaced by the boat. This force is greater than the weight of the boat, allowing it to float on the surface of the water.
Yes, the buoyancy force of a boat can change depending on the amount of water it displaces and the weight of the boat. For example, if more weight is added to the boat, it will displace more water and the buoyancy force will increase, allowing it to float higher in the water.