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Midterm1Solution

# Midterm1Solution - PHYSICS 9B MIDTERM 1 November 5 2009 I...

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PHYSICS 9B MIDTERM 1 November 5, 2009 I certify by my signature below that I will abide by the UC Davis Code of Academic Conduct. This includes not copying from anyone else’s exam not letting any other student copy from my exam not discussing this exam with any student who has not yet taken it, nor providing any information, written or oral, that might get to a student who has not yet taken it. Anyone suspected of cheating will be automatically reported to Student Judicial Affairs. LAST NAME: FIRST NAME: STUDENT ID: (P R I N T) (P R I N T) (LAST 4 DIGITS) Signature: Problem 1. (2 points) An ice cube floats in a glass of water. When the ice melts will the glass water level A. Rise B. Fall C. Remain unchanged Answer C : The water level will remain unchanged. Let’s denote the volume of water without the ice cube as V w . When the ice cube is immersed, it is partially under the water, because its weight should be compensated by the buoyant force. Let’s denote the full volume of ice as V ice and its volume under the water as V’. B= ρ w V’g = ρ ice V ice g which produces V’=V ice ρ ice / ρ w . as a part of the ice volume under the water. Therefore the water level (when the ice floats) is now V w +V’. When the ice melts completely it adds the volume V add =m ice / ρ w =V ice ρ ice / ρ w

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