What is the average resultant force on a truck making a 90 degree turn?

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To determine the average resultant force on a truck making a 90-degree turn, the problem involves calculating the change in velocity and the resulting acceleration. The truck's mass is 3000 kg, with an initial speed of 4.0 m/s and a final speed of 7.0 m/s over a time interval of 5.0 seconds. The change in velocity (ΔV) must consider both the magnitude and direction, as it is a vector quantity. The average resultant force can be calculated using the formula F = m * a, where acceleration (a) is derived from ΔV/Δt. Understanding the vector nature of velocity is crucial for accurately solving this centripetal force problem.
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Homework Statement


a 3000 kg truck traveling at a speed of 4.0 m/s makes a 90 degree turn in a time of 5.0 s and emerges from this turn with a speed of 7.0 m/s. what is the magnitude of the average resultant force on the truck during this turn?


Homework Equations





The Attempt at a Solution


I think this might be a centripetal force problem but the change in velocities is messing me up.
 
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What is force? F = m*a

What is acceleration? ΔV/Δt

So ... what is the ΔV ... keeping in mind that V is a vector?

You have the Δt conveniently given as 5 sec.
 
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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