What Is the Correct Way to Calculate Unbalanced Force?

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To calculate unbalanced force, the correct formula is F = ma, where 'm' is mass and 'a' is acceleration. In this case, with a mass of 1500 kg and an acceleration of 1.8 m/s², the force can be calculated as F = 1500 * 1.8. The user expressed confusion regarding the formula F=ma/t and sought clarification on its validity. Additional assistance was requested to demonstrate the calculation process for better understanding.
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I am trying to work out question two on this page: http://www.bbc.co.uk/apps/ifl/scotland/learning/bitesize/higher/physics/quizengine?ContentType=text%2Fhtml%3Bcharset%3Dutf-8;templateStyle=physics;quiz=forces

m = 1500
a = 1.8
u=0
tacc = 0.5
tcon = 8.5
tres = 0.5

But I can't seem to get the right answer at all.

I have tried F=ma/t and searched for examples but I'm totally stuck.
 
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Where did you get F=ma/t?

Perhaps you might show your work on this.
 
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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