your weight is 600 newtons and you have just finished building a raft which weighs 1000 newtons. what is the smallest upthrust force needed so that it will float with just you on it ?
(please answer really quick )
1600 N
1600 newtons
To figure out the smallest upthrust force needed for the raft to float with just you on it, we need to consider the principle of buoyancy. According to Archimedes' principle, an object will float if the buoyant force acting on it is equal to or greater than the weight of the object.
In this case, your weight is 600 newtons, and the raft weighs 1000 newtons. Therefore, the total weight of the system is 600 + 1000 = 1600 newtons.
To float, the buoyant force needs to be equal to or greater than 1600 newtons. Hence, the smallest upthrust force required would be 1600 newtons for the raft to float with just you on it.
To answer this question, we need to understand the concept of buoyancy. According to Archimedes' principle, an object immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces.
In this case, the fluid is water, and the buoyant force needs to be greater than or equal to the weight of the raft and you combined for it to float.
Weight of the raft = 1000 Newtons
Weight of you = 600 Newtons
Total weight = 1000 + 600 = 1600 Newtons
To calculate the minimum upthrust force needed, we need to find the weight of the water displaced by both the raft and you. This is equal to the total weight of the system (raft + you).
Therefore, the smallest upthrust force needed for the raft to float with just you on it is 1600 Newtons.
It's important to note that this calculation assumes ideal conditions and neglects other factors like air resistance, water density variations, and any other external forces acting on the system.