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 shorter gravitational force vector (Earth on box) points down.

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Image with alt text: A box with two forces. A buoyant force vector (water on box) points up. A shorter gravitational force vector (Earth on box) points down. Labels and arrows added by FlipSwitch. davooda/Shutterstock

A box with two forces. A buoyant force vector (water on box) points up. A longer gravitational force vector (Earth on box) points down.
Labels and arrows added by FlipSwitch.
davooda/Shutterstock
Image with alt text: A box with two forces. A buoyant force vector (water on box) points up. A longer gravitational force vector (Earth on box) points down. Labels and arrows added by FlipSwitch. davooda/Shutterstock

A box with one force. A buoyant force vector (water on box) points up.

Labels and arrows added by FlipSwitch.
davooda/Shutterstock
Image with alt text: A box with one force. A buoyant force vector (water on box) points up. Labels and arrows added by FlipSwitch. davooda/Shutterstock

A box with two forces. A buoyant force vector (water on box) points up. An equal gravitational force vector (Earth on box) points down.
Labels and arrows added by FlipSwitch.
davooda/Shutterstock

The correct force diagram is: A box with two forces. A buoyant force vector (water on box) points up. A shorter 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 N downward

2.5 N upward

5.5 N upward

4.5 N upward

The amount of buoyant force acting on the ball can be determined using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object. In this case, the buoyant force is equal to the weight of the water displaced by the submerged ball.

Since the ball has a weight of 0.5 N, the buoyant force must be equal to 0.5 N in order to create a net force of 5 N upwards.

Therefore, the correct answer is: 0.5 N upward.

needs to be one of the answers shown

In that case, the closest answer from the given options would be:

4.5 N upward.

This is the answer that is closest to the correct value of 0.5 N.

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 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 the smaller volume means it would take less force to make it float.

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 remain at rest because the mass stays the same and so the forces on the balloon would not change.

The balloon would sink and accelerate downwards because there would be a smaller buoyant force acting on it than before.
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 there would be a greater buoyant force acting on it than before.

The correct answer is:

The balloon would float and accelerate upwards because there would be a greater buoyant force acting on it than before.

When the volume of the balloon decreases while the mass remains the same, the density of the balloon increases. This increase in density means that the balloon becomes denser than the surrounding water. As a result, the buoyant force on the balloon increases, causing it to float and accelerate upwards.