Calculating Buoyancy: Determining Ice Area to Support 3000lb Car

AI Thread Summary
To determine the smallest area of a 1ft thick ice chunk that can support a 3000lb car, it is essential to understand that the ice must displace an equivalent weight of water. The car's weight, when converted to kilograms, helps calculate the necessary volume of water displaced. This volume can then be used to find the area of the ice required to support the car. The ice will be fully submerged, with its top level with the water surface. Understanding these calculations is crucial for accurately assessing buoyancy in this scenario.
daisyi
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I'm sure that if I can figure one of these out, then I will be able to understand how to compute all this buoyancy stuff.

Anyways, here is is:

What is the smallest area of a chunk of ice that is 1ft thick that will just support a 3000lb car.
 
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I assume the car is floating on the ice in water? If so, then realize that the smallest piece would be totally submerged: the top of the ice sheet would be even with the water. Thus all of the ice is displacing water. So how much water must this ice displace to support the total weight of the car plus the ice? First find the answer in kg, then find the volume. Then you can find the area of ice that will have that volume. Got it?
 
I figured this one out using the help that you gave me from the last problem. Thanks a ton again :)
 

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