The Anduril sword is forged in fire of a deep volcano. It has a weight of 0.984 kg and made of steel. After it reaches a certain temperature, it is quickly cooled down into 793g of water at 15° C. The sword remains there until the system reaches a temperature balance of 52° C. What was the initial temperature of the sword? (Steel c=0.466 J/g ° C and water c=4.2 x 103 J/kg° C)

first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j

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the answer your looking for is c).