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According to Bernoulli's theorem, P + 1/2 ρ v² = P₀ + 0. So, ΔP = 1/2 ρ v². F = ΔPA = 1/2 ρ v² A. If ρ = 1.2, v = 40, A = 250, what is the force?

1. 1.2 × 40 × 40 × 250
2. 2.4 × 10⁵ N (upwards)
3. 1/2 × 1.2 × 40 × 40 × 250
4. None of the above

Correct answer: 1/2 × 1.2 × 40 × 40 × 250

Solution

Using Bernoulli's theorem, the force is calculated as F = (1/2)ρv²A. Substituting ρ = 1.2, v = 40, and A = 250, we get F = (1/2) × 1.2 × 40² × 250 = 2.4 × 10⁵ N. Thus, the correct answer is option C.

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