A ship is floating on a lake. Its hold is the interior space beneath its deck; the hold is empty and is open to the atmosphere. The hull has a hole in it, which is below the water line, so water leaks into the hold. The effective area of the hole is 4.8 * 10-3 m2 and is located 2.5 m beneath the surface of the lake. What volume of water per second leaks into the ship?

Question

Physics

Mr Kitty

23 June, 15:43

A ship is floating on a lake. Its hold is the interior space beneath its deck; the hold is empty and is open to the atmosphere. The hull has a hole in it, which is below the water line, so water leaks into the hold. The effective area of the hole is 4.8 * 10-3 m2 and is located 2.5 m beneath the surface of the lake. What volume of water per second leaks into the ship?

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Answers (1)

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Jamarion Molina · Answer 1

33.4 litres/sec

Explanation:

Given:

hole area A = 0.0048 m²

Velocity is given by:

V = √2gh = √ (2 x 9.8 x 2.5) = 7 m/sec

flow = A x V = (0.0048) (7) = 0.0334 m³/sec

0.0334 m³/sec = > 33.4 litres/sec