Textbook ExpertVerified Tutor
23 Dec 2021
Given information
The weight of the child is .
The volume of the bottle is .
Step-by-step explanation
Step 1.
The buoyant force is defined as the force exerted by an object that opposes the weight of a fluid in which the object is submerged or fully.
The formula to calculate the buoyant force exerted by the object is
Here, is the force, is the number of bottles, is the volume of one bottle, is the density of water and is the aceleration due to gravity.
The formula to calculate the weight of the child is
Here, is the weight and is the mass.
The buoyant force due to the soda bottles must be equal to the weight of the child.
Equate the right hand side of both the formulae and solve to calculate the number of soda bottles.
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