A 2000 lb box is being held at rest submerged in water. The box is displacing 2500 lbs of water. When the box is released from its submerged position, the box will
a. sink
b. rise to the surface and float
c. remain where it is
d. result unknown
Ok, so if the box is put in the water, it can either sink or float because we don't know what the box contains, so the result is unknown. Is that correct?
absolutely not. You are missing the entire point of Archimedes Principle: what is the bouyancy force of that displaced water?
The answer is b. Archimedes principle states that if the the weight of the object is smaller than the displacement of the water, then the object will rise.
the sum of the potential and kinetic energies of string is_____________
Not exactly. The result is actually known based on the principle of buoyancy. To determine whether the box will sink or float, we can compare its weight to the weight of the water it displaces.
According to Archimedes' Principle, an object submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces. This principle helps us understand whether an object will sink or float.
In this case, the box weighs 2000 lbs, while it displaces 2500 lbs of water. Since the weight of the water displaced is greater than the weight of the box, the buoyant force acting on the box is greater than its weight. As a result, the box will rise to the surface and float (option b) when it is released from its submerged position.
Even though we don't know what the box contains, we can determine its floating behavior solely based on the relationship between its weight and the weight of the displaced water.