Find Angle of 5kg Mass Suspended from Cord

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To find the angle of a 5kg mass suspended from a cord with a horizontal 23N force, it's essential to analyze the forces acting on the mass. The net force equation, Fnet=ƩFi=0, indicates that the system is in equilibrium. Using the weight of the mass and the applied force, one can resolve the forces into components to determine the angle. Drawing a diagram can help visualize the forces and simplify the calculations. Understanding these concepts is crucial for solving similar physics problems effectively.
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b]1. Homework Statement [/b]
A 5kg mass is suspended from a cord. The mass is held as shown with a horizontal 23N force. Find the angle

Homework Equations


Fnet=ƩFi=0

The Attempt at a Solution


I am not sure about the right way to find the angle but the variables given are force and the mass should I use the weight to find the angle? Is this a obtuse triangle?
 

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The only thing my professor told me when I had difficulty with these types of problems was to use components. I would recommend drawing a picture or diagram with all the forces acting on the mass, that should make it easier to solve.
 
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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