Two crates are submerged under water. The crates are identical in size, but Crate A is filled with iron and Crate B has only air inside. Which crate has a greater buoyant force acting on it?
Responses
Both crates have the same amount of buoyant force acting on them because they are the same size and displace the same amount of water.
Crate A has a greater buoyant force acting on it because it is filled with iron, making it heavier. Buoyant force depends on the weight of the object.
Crate B has a greater buoyant force acting on it because it is filled with air, so it will float. The object that floats will always have a greater buoyant force acting on it.
There is no way of knowing which object has a greater buoyant force acting on it until we can determine if they float. If both objects float, they have the same amount of buoyant force acting on them.
Both crates have the same amount of buoyant force acting on them because they are the same size and displace the same amount of water.
A ball with a density of 1100 kg/m3 is submerged in two liquids: water (ρ = 1000 kg/m3) and honey (ρ = 1400 kg/m3). What will the ball do?
Responses
We do not have enough information because we need to know the mass of the ball in order to determine whether it will sink or float.
It will sink and accelerate downwards in honey. It will float and accelerate upwards in water. Objects with a smaller density than the surrounding liquid sink, while objects with a greater density than the surrounding liquid float.
It will sink and accelerate downwards in water. It will float and accelerate upwards in honey. Objects with a greater density than the surrounding liquid sink, while objects with a smaller density than the surrounding liquid float.
The ball will sink in both the honey and the water because any solid object will sink in a liquid.
It will sink and accelerate downwards in water. It will float and accelerate upwards in honey. Objects with a greater density than the surrounding liquid sink, while objects with a smaller density than the surrounding liquid float.
A balloon filled with some liquid is inflated and immersed under water. The balloon remains at rest under water. What would happen if the volume of the balloon decreased while the mass remained the same?
Responses
The balloon would sink and accelerate downwards because there would be a smaller buoyant force acting on it than before.
The balloon would float and accelerate upwards because the smaller volume means it would take less force to make it float.
The balloon would float and accelerate upwards because there would be a greater buoyant force acting on it than before.
The balloon would remain at rest because the mass stays the same and so the forces on the balloon would not change.
The balloon would float and accelerate upwards because there would be a greater buoyant force acting on it than before.
A box is immersed in a liquid and accelerates upward. Which force diagram best represents the forces acting on the box as it’s accelerating upwards?
Responses
A box with two forces. A buoyant force vector (water on box) points up. A longer gravitational force vector (Earth on box) points down.
A box with two forces. A buoyant force vector (water on box) points up. An equal gravitational force vector (Earth on box) points down.
A box with one force. A buoyant force vector (water on box) points up.
A box with two forces. A buoyant force vector (water on box) points up. A shorter gravitational force vector (Earth on box) points down.
A box with two forces. A buoyant force vector (water on box) points up. A longer gravitational force vector (Earth on box) points down.
Study the scenario.
A ball with a weight of 0.5 N is submerged under water and then released. There is a net force of 5 N upwards.
How much buoyant force is acting on the ball?
Responses
5.5 N upward
4.5 N upward
2.5 N upward
5 N downward
The buoyant force acting on the ball can be determined by subtracting the weight of the ball from the net force acting on it. Since the net force is 5 N upwards and the weight of the ball is 0.5 N downwards, the buoyant force would be 5 N - 0.5 N = 4.5 N upward. Therefore, the correct response is 4.5 N upward.
Both crates have the same amount of buoyant force acting on them because they are the same size and displace the same amount of water.
To understand why, we need to look at the principle of buoyancy. According to Archimedes' principle, an object submerged in a fluid experiences an upward force called buoyant force. This force is equal to the weight of the fluid displaced by the object.
In this case, both crates are identical in size, meaning they displace the same amount of water when submerged. As a result, they experience the same buoyant force. It doesn't matter what the crates are filled with – iron or air – as long as they have the same size, their buoyant forces will be equal.