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Answer :
Final answer:
The work required to pump the liquid is calculated as the weight of the liquid (which is the density times volume of the liquid) times the distance over which it is pumped. Using the given data, the answer is calculated as 1260 ft-lb, which however does not match any of the options provided in the question.
Explanation:
The subject of this question is the principle of work in physics and how it applies to the real-world problem of pumping liquid from a tank. The problem is asking how much work, in foot-pounds (ft-lb), is required to pump liquid 4 feet above the top of a container that is already full up to the 7 feet mark with liquid of a specific weight density (45 lb/ft³).
To calculate the work, we first need to understand that the work done in pumping the liquid is the force (given by density times gravity times height for a fluid) times the distance over which this force is applied. In this case, the force is the weight of the liquid, which is its density (45 lb/ft³) multiplied by the volume (which is the area of the base times the height of 7 feet). So, the weight of the liquid = 45 lb/ft³ × 7 ft = 315 lb. The distance it needs to be pumped is 4 feet above the top of the tank, so the work done equals the weight times the distance of 4 ft. So work = 315 lb x 4 ft = 1260 ft-lb.
However, none of the options provided in the question matches the correct answer, which indicates that there might be some errors in the question. A re-check or clarification of the question might be needed.
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The weight of the liquid, which is equal to its density times volume, is multiplied by the distance it must be pumped over to determine the amount of work needed to pump it.
The answer is calculated as 1260 ft-lb using the available data, but this value.
The topic of this question is the physics' principle of work and how it relates to the practical issue of pumping liquid out of a tank.
Therefore, The issue is determining how much work, measured in foot-pounds (ft-lb), is necessary to pump liquid 4 feet above the top of a container that is already filled with liquid of a particular weight density (45 lb/ft3) until it reaches the 7-foot mark.
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