Answer:
38.4 N.
Explanation:
From pascal's principle,
Pressure applied to the first piston = pressure applied to the second piston
F1/A1 = F2/A2 ....................... Equation 1
Where F1 = Force applied to the first piston, A1 = Area of the first piston, F2 = force applied to the second piston, A2 = Area of the second piston.
But,
A1 = πd₁²/4................... Equation 2
A2 = πd₂²/4............... Equation 3
Where d₁ and d₂ are the diameter of the first and second piston respectively.
Substitute equation 2 and equation 3 into equation 1
F1/πd₁²/4 = F2/πd₂²/4
F1/d₁² = F2/d₂² ................. Equation 4
make F2 the subject of the equation,
F2 = (F1×d₂)/d₁²................ Equation 5
Given: F1 = 240 N, d₁ = 4 cm, d₂ = 10 cm.
Substitute into equation 5
F2 = (240×4²)/10²
F2 = 38.4 N.
