Calculating Net Force on a Tilted Object: A Vector Analysis

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The discussion centers on calculating the net force acting on an object on a tilted surface, focusing on vector components. Participants are asked to determine the net force's parallel and perpendicular components relative to the floor, as well as its overall magnitude and direction. The problem involves analyzing the forces in Newtons as vectors, requiring an understanding of vector addition and decomposition. Assistance is requested for solving these components and understanding the underlying physics concepts. Clear calculations and vector analysis are essential for accurately determining the net force in this scenario.
elyse1987
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Homework Statement



Three forces are exerted on an object placed on a tilted floor in the figure (Intro 1 figure) . The forces are measured in Newtons. (Figure attached below)

a) Assuming that forces are vectors, what is the component of the net force parallel to the floor?

B)What is the component of Fnet perpendicular to the floor?

c) What is the magnitude of Fnet

d)What is the direction of Fnet


Homework Equations



The Attempt at a Solution



-in attached document
 

Attachments

  • Forces.jpg
    Forces.jpg
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  • Attempt at solution.pdf
    Attempt at solution.pdf
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If anyone can answer this question please, I need help as well!
 
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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