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Question

(a) State the principle of flotation.
(b) A floating boat displaces water weighing 6000 newtons.
(i) What is the buoyant force on the boat?
​ (ii) What is the weight of the boat?

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Solution

(a) According to the principle of floatation, an object will float in a liquid if the weight of an object is equal to the weight of the liquid displaced by it.

(b) Weight of the displaced liquid = 6000 N

(i) As we know that, when a body is immersed in a liquid it feels an upward buoyant force which is equal to the weight of the liquid displaced by the body. So, the buoyant force on the boat = weight of the liquid displaced by the boat = 6000 N.

(ii) As the boat is floating, so according to the law of floatation the weight of the boat must be equal to the weight of the liquid displaced by it. Hence, the weight of the boat is also 6000 N.

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