The discussion revolves around a numerical problem related to length contraction in physics. The user presents equations involving time dilation and length contraction, specifically referencing the Lorentz factor (ϒ). They express confidence in the correctness of their solutions for the given problem. The conversation confirms that the presented equations are accurate. Overall, the focus is on validating the calculations related to length contraction.
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?