Is Work Considered a Vector Quantity?

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Work is classified as a scalar quantity, not a vector quantity. In contrast, net force, torque, momentum, and centripetal acceleration are all vector quantities. The distinction lies in the fact that vectors have both magnitude and direction, while work only has magnitude. The discussion confirms that work does not possess directional properties, reinforcing its scalar nature. Understanding these classifications is essential in physics.
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Homework Statement


Which of the following is not a vector quantity?
a) The net force.
b) The work done by an individual force.
c) The torque done by an individual force.
d) The momentum of an object.
e) The centripetal acceleration.

The Attempt at a Solution


i believe the work is not a a vector, but thought it could be centripetal acceleration.
 
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accelerations are vectors so centripetal acceleration would be as well.

You are correct. Work is not a vector quantity.
 
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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