Question

What will be the force exerted on the piston of area 2m² which has the pressure of 500Pa.Calculate.

Answer 1

Provided that:

• Area = 2 m sq.
• Pressure = 500 Pascal

To calculate:

• The force

Solution:

• The force = 1000 N

Using concept:

• Pressure formula

Using formula:

• P = F/A

Where, P denotes pressure, F denotes force and A denotes area.

Required solution:

»»» Pressure = Force/Area

»»» P = F/A

»»» 500 = F/2

»»» Pressure × Area = Force

»»» P × A = F

»»» 500 × 2 = F

»»» 1000 = F

»»» F = 1000 N

»»» Force = 1000 Newton

• Henceforth, force = 1000 N

Additional information:

$\begin{gathered}\boxed{\begin{array}{c}\\ {\pmb{\sf{Some \: formulas!}}} \\ \\ \sf \star \: Pressure \: = \dfrac{Force}{Area} \\ \\ \sf \star \: Area \: = \dfrac{Force}{Pressure} \\ \\ \sf \star \: Pressure \times Area = Force \end{array}}\end{gathered}$

Answer 2

Question:

• What will be the force exerted on the piston of area 2m² which has the pressure of 500 Pa.

Answer:

• The force exerted on the area is 1000 N to produce the pressure of 500 pa

Explanation:

Given that:

• The amount of pressure produced is 500 Pascale
• The measure of the area of the piston is 2 m²

To Find:

• The force exerted on the piston of area

Formula Used:

$\bigstar \; \; {\underline{\boxed{\bf{ Pressure = \dfrac{Force}{Area}}}}}$

Required Solution:

• Using formula to find pressure

$\leadsto \; {\pink{\boxed{\bf{Pressure= \dfrac{Force}{Area} }}}}$

★ Finding the amount of force exerted:

➻ Pressure exerted = Force applied / Area

➻ Force Applied = Pressure × Area

➻ Force Applied = 500 N/m² × m²

➻ $\purple{\bf{Force \; Applied = 1000 \;N}}$

∴ The force applied on the object is 1000 N

Verification:

➻ Pressure exerted = Force applied / Area

➻ 500N/m² = 1000 N / 2 m²

➻ $\purple{\bf{500\;N/m^2 = 500 \;N/m^2 }}$

L.H.S = R.H.S

$\pink{\boxed{\bf{Hence\; Verified \checkmark }}}$

Therefore:

• The force applied on the object is 1000N

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