Force of seat belt on person in when car collides into a piston

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To determine the average force of the seat belt on a 70kg person during a car collision that stops over 0.3m, one can apply Newton's second law and the equations of motion. The initial velocity of the car is 20 m/s, and using the formula for acceleration, the deceleration can be calculated. The force exerted by the seat belt can then be derived from the mass of the person and the calculated deceleration. Assumptions include that the seat belt applies a constant force and that the deceleration is uniform throughout the stopping distance. Understanding these principles of mechanics is essential for solving the problem effectively.
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A car moving at 20 m/s runs into a piston that compresses air in a cylinder and stops the car at 0.3m. The 70kg person stops in the same distance because of the seat belt. Determine the average force of the seat belt on person during the stop and what assumptions did you make?


~we just learned about the ideal gas law and the equations: PV=nRT and F=PA. I'm guessing that these equations are somehow used for this equation. I don't even know where to begin with this.

Can anyone guide me?
 
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This is not a question on the ideal gas law, this is a question of force and acceleration under the general topic of mechanics-forces and motion. It involves Newton's laws, kinematics, energy methods, or momentum concepts. Are you familiar with any of these, and if so, please show an attempt.
 
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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