2 Dimensional Motion: Net force at an angle

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To determine the acceleration in two-dimensional motion, the horizontal component of the net force is divided by the mass. The calculated value of 0.4 m s^-2 is confirmed as correct. The discussion emphasizes the importance of resolving forces into components for accurate calculations. Overall, the method used to find acceleration from net force is validated. This approach is essential for understanding two-dimensional motion dynamics.
ayans2495
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Homework Statement
A mass of 40 kg, sitting on a smooth surface, is acted on by a force of 18 N eastward inclined upward at 30 degrees. Find the acceleration.
Relevant Equations
F=ma
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My solution was to find the horizontal component of the net force and divide that by the mass. Am I right?
 
Your solution is correct.
 
Lnewqban said:
Your solution is correct.
Thank you for your reply. I also got a value of 0.4 m s^-2, is that also correct?
 
Yes, it is.
 
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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