Question

If F force is applied on area A/2, the value of pressure P1. If we change the force to 2F and area to 2A then calculate the change in pressure.​

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

The change in pressure is F/A.

Explanation:

Given,

F is the force applied on area A/2 which developed pressure of P1,

Now the force increased to 2F, and the area has increased to 2A, which developed pressure of P2.

To find,

The change in the pressure(ΔP)

Calculation,

We know that pressure (P), force (F), and the area (A) are related by:
P = F/A...(1)

Case(1):

We substitute P = P1, F = F, and A = A/2 in equation (1), we get:

P1 = F/(A/2)

⇒ P1 = 2F/A

Case (2):

Here we substitute P = P2, A = 2A, F = 2F in equation (1):

P2 = 2F/2A

⇒ P2 = F/A

Now for the change in pressure (ΔP):

ΔP = P1 - P2

⇒ ΔP = 2F/A - F/A

⇒ ΔP = F/A

Therefore, the change in pressure is F/A.

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