A bucket is being drawn up a well. What force must be applied to raise the bucket:
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Sol. When the bucket is under water a force must be exerted equal to the weight of bucket, less the weight of water displaced by the bucket itself. Taking the weight of unit volume of the water to be d 0 , we find P – (P/d) d 0 = P(1–d 0 /d). But when the bucket has been drawn out of the water, a force must be applied equal to the weight of the bucket and the weight of the water in the bucket, i.e. P+Vd 0 .
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