Water is filled in a flask up to a height of 20 cm. The bottom of the flask is circular with radius 10 cm. If the atmospheric pressure is 1.01 × 10⁵…
Source: JAMB · 2024
Water is filled in a flask up to a height of 20 cm. The bottom of the flask is circular with radius 10 cm. If the atmospheric pressure is 1.01 × 10⁵ Pa, find the force exerted by the water on the bottom. [Take g = 10 ms⁻² and density of water = 1000 kgm⁻³.]
Explanation
The total pressure at the bottom is atmospheric pressure plus water pressure. Water pressure = ρgh = 1000 × 10 × 0.20 = 2000 Pa. Total = 1.01 × 10⁵ + 2000 = 1.03 × 10⁵ Pa.
Area of the base = πr² = 3.14 × (0.10)² = 0.0314 m². Force = pressure × area = 1.03 × 10⁵ × 0.0314 ≈ 3234 N.
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