Buoyancy: a Circular Cylinder of Height 1

question 15

Multiple Choice

Buoyancy: A circular cylinder of height 1.20 m having faces of diameter 0.620 m is immersed in water of density 1.00 × 10³ kg/m³ with its axis vertical so that its faces are parallel to the surface of the water. The upper face is 2.50 m below the surface of the water. The net force on this cylinder is observed to be 1120 N downward. Atmospheric pressure is 1.01 × 10⁵ Pa. What net force does the water exert on the lower face of the cylinder?

• A) 7.40 × 10³ N
• B) 1.09 × 10⁴ N
• C) 3.79 × 10⁴ N
• D) 4.14 × 10⁴ N
• E) 1.37 × 10⁵ N

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Definitions:

Consumer Surplus

The distinction in the total financial outlay consumers are prepared to make for a good or service and the outlay made.

Demand Curve

A graphical representation showing the relationship between the price of a good or service and the quantity demanded, typically sloping downward from left to right.

Willingness To Pay

The maximum amount an individual is prepared to spend to procure a good or service or to avoid something undesirable.

Consumer Surplus

The split between the total amount consumers are prepared to spend on a good or service and the actual amount they spend.