The discussion revolves around a problem involving buoyant force and the volume of displaced water for a boat in Lake Superior, with a total mass of 15,450 kg. Participants are exploring the relationship between the weight of the boat and the buoyant force acting on it, as well as the volume of water displaced.
Participants are actively engaging with the problem, clarifying concepts related to buoyant force and unit conversions. There is recognition of the need for additional information, such as the density of water, to accurately determine the volume of displaced water.
There is an emphasis on the correct interpretation of units and the relationship between mass and volume in the context of buoyancy. The discussion highlights the importance of understanding density in relation to the problem at hand.
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?