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Chapter 1: Q21 DQ (page 390)

You are floating in a canoe in the middle of a swimming pool. A large bird flies up and lights on your shoulder. Does the water level in the pool rises or fall?

Short Answer

Expert verified

Because of the increased bulk of the boat due to the presence of the enormous bird, the water level rose.

Step by step solution

01

Definition of buoyant force

When a body is immersed in a fluid, the fluid exerts an upward pull on the body, which is known as buoyant force. When an item is displaced by a fluid, Archimedes’ principle states that its buoyant force is equal to object's weight in fluid.

02

Evaluation of the water displaced

The buoyant force produced by water must be used to counterbalance any weight that may be carried by the person as well as the canoe while they are both floating in the canoe at the same time. It can be expressed as,

B = w

When we substitute the values ofandfrom the previous equation, we obtain[l1]

ρfluidgVdisplaced=mgVdisplaced=mρ

Where, is mass of person and canoe, Vdisplacedis the volume displaced of water.

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