MasteringPhysics: Chapter 10-Google Chrome Secure https://session.mastenngphysic

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MasteringPhysics: Chapter 10-Google Chrome Secure https://session.mastenngphysics.com/myct/itemView?assignmentProblemID-83000889&offsetsnext; Chapter 10 Problem 10.33 e previous | 7 of 10 | next s Problem 10.33 Part A A 36-kg child decides to make a raft out of empty 1.0-L soda bottles and duct tape Neglecting the mass of the duct tape and plastic in the bottles, what minimum number of soda bottles will the child need to be able stay dry on the raft? Express your answer as an integer bottles Submit My Answers Give Up Continue

Explanation / Answer

Weight of child=36*9.8=352.8 N

Volume of each bottle=1 litre=0.001 m³

Buoyant force on each bottle=1000*0.001*9.8=9.8N

Number of bottles needed to match weight of child=N=352.8/9=36

Therefore, 36 bottles are needed since buoyant force on 36 bottles equals weight of child

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