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. An equal 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. An equal 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

The correct force diagram would be the first option, with a buoyant force vector pointing up and a shorter gravitational force vector pointing down. This is because when an object is immersed in a liquid, it experiences a buoyant force (upwards) that is equal to the weight of the displaced liquid. The gravitational force (downwards) is the force of Earth's gravity acting on the box. As the box accelerates upwards, the buoyant force must be greater than the gravitational force for this to occur.

The correct force diagram for the box that is accelerating upwards in a liquid is the first option: A box with two forces. A buoyant force vector (water on box) points up. A shorter gravitational force vector (Earth on box) points down.