Question

Question 3: 20 pts

The pressure P exerted by a force varies inversely as the area A on which the force is applied. If 16 N/At of

pressure is exerted by a force on an area of 3 it?, what is the pressure exerted by the same force on an area of

6 ft22

Answer 1

the pressure exerted by the same force on an area of of 6 ft² is 8 N/ft²

Explanation:

Given that;

pressure and area are inversely proportional to each other.

i.e P ∝ 1/A

so

P₁A₁ = constant

i.e P₁A₁ = P₂A₂

In the question; P₁ = 16 N/ft² and A₁ = 3 ft² while P₂ is unknown and A₂ = 6ft²

so w substitute

16 × 3 = P₂ × 6

48 = 6P₂

P₂ = 48 / 6

P₂ = 8 N/ft²

Therefore, the pressure exerted by the same force on an area of of 6 ft² is 8 N/ft²