A 2-kilogram block of metal with a specific heat of 100 joulesper kilogram x Kel

Question

A 2-kilogram block of metal with a specific heat of 100 joulesper kilogram x Kelvin falls from rest through a distance of 100meters to the Earth's surface. If half of the potentialenergy lost by the fallen block is converter to internal energy ofthe block, the temperature change of the block is mostnearly: A) 1 K B) 5 K C) 10 K D) 25 K E) 45 K What is the correct answer? A 2-kilogram block of metal with a specific heat of 100 joulesper kilogram x Kelvin falls from rest through a distance of 100meters to the Earth's surface. If half of the potentialenergy lost by the fallen block is converter to internal energy ofthe block, the temperature change of the block is mostnearly: A) 1 K B) 5 K C) 10 K D) 25 K E) 45 K What is the correct answer?

Explanation / Answer

A 2-kilogramblock of metal with a specific heat of 100 joules per kilogram xKelvin falls from rest through a distance of 100 meters to theEarth's surface. If half of the potential energy lost by thefallen block is converter to internal energy of the block, thetemperature change of the block is mostnearly: A) 1 K (B) 5 K
C) 10 K D) 25 K E) 45 K

EXPLANATION:
{Initial Potential Energy} = P.E. = m*g*h
{Heat Energy Absorbed By Block} = Q = m*C*T
{Q = (1/2)*P.E.} ----> {m*C*T = (1/2)*m*g*h}
---->    T = (1/2)*m*g*h/(m*C)
---->    T = (1/2)*(2.0)*(9.8)*(100)/((2.0)*(100)) = 5degK

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