The pressure p exerted by a force varies inversely as the area a on which the force is applied. if 16 n/ft2 of pressure is exerted by a force on an area of 3 ft2 , what is the pressure exerted by the same force on an area of 6 ft2?
a) 8 n/ft2
b) 16 n/ft2
c) 4 n/ft2
d) 32 n/ft2

A) 8 N/ft2

Step-by-step explanation:

Pressure is the normal force per unit area, that is, it is equivalent to the force acting on the surface unit, and is given by:

Where:

In the first case:

Using the previous equation and solving for :

Now, for the second case, since the force is the same applied in the first case, then:

Therefore the answer is:

A) 8 N/ft2

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get