Answer: Option d) 2.2 × 10³ N is the correct answer
Explanation:
Given that;
radius of A₁ = 5.0
large piston has a radius of A₀ = 15 cm
Weight F₀ = 20,000 N
Force that must be applied to lift the weight F₁ = ?
Now we know that from Pascal Law
ΔP ⇒ F₁/A₁ = F₀/A₀
F₁ = (F₀/A₀)A₁
where A = πr²
so we substitute
F₁ = (20,000 / π(15²)) × π(5²)
= (20,000 / 706.8583) × 78.5398
= 2222.22 ≈ 2.2 × 10³ N
Therefore Option d) 2.2 × 10³ N is the correct answer.
