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Long answer·Hard exam skill (4/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A rectangular inspection gate of area 1.5 m21.5\text{ m}^2 is fitted vertically in a water tank. The centre of the gate is 4.0 m4.0\text{ m} below the free surface. Take ρ=1000 kg m−3\rho=1000\text{ kg m}^{-3} and g=10 m s−2g=10\text{ m s}^{-2}.
Total: 4 marks

(a) Find the gauge pressure at the centre of the gate. (1 mark)

(b) Estimate the force on the gate using the centre pressure. (2 marks)

(c) Explain why this is an estimate if the gate has large vertical height. (1 mark)

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cbse-physics-11.u7.t7-2.laq.004

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