Is work a scalar or a vector quantity and why?

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Work is classified as a scalar quantity because it only has magnitude and no direction. The discussion highlights that, unlike vector quantities which require direction for full description, work is defined solely by the amount of energy transferred, measured in Joules. The question of what direction 20 Joules would take if work were a vector emphasizes the confusion surrounding the concept. Ultimately, work's scalar nature simplifies its application in physics, focusing on energy transfer without directional complications. Understanding this distinction is crucial for grasping fundamental physics concepts.
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Is work a scalar or a vector quantity and why?
 
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A scalar. If it were a vector, what would the direction of 20 Joules be?
 


Thanks...
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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