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Solution:

First we must calculate the area of the hovercraft. This is done by multiplying the length times the width. The solution will be worked out in both Imperial and System International units.

Imperial Units

Area = Length · Width

Area = (10 ft)(5 ft)

Area = 50 ft2

S I Units

Area = Length · Width

Area = (3 m)(1.5 m)

Area = 4.5 m2

Now we can find the lift force by multiplying the pressure times the area.

Lift force = Pressure · Area

Lift force = (7 lbs / ft2)(50 ft2)

Lift force = 350 lb

Lift force = Pressure · Area

Lift force = (335 N / m2)(4.5 m2)

Lift force = 1508 N

This hovercraft produces 350 lb [1508 N] of lift force and will therefore be able to support up to 350 lb [1508 N] of total weight and still hover. This means if the actual hovercraft weighed 100 lb [444.8 N], then it could carry 250 lb [1112 N] of people and cargo.

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