I\'m Stuck on #3 Please Help. A rock of mass 225 kg sits in full sunlight on the

Question

I'm Stuck on #3 Please Help.

A rock of mass 225 kg sits in full sunlight on the edge of a cliff 5.25 m high. The temperature of the rock is 30.2oC. The rock falls from the cliff                    into a pool containing 6 m3 of water at a temperature of 15.5oC.                 

1) W hat is the mass of the water in the pool? The density of the water is 103 kg/m3.                             

m =6000 kg                             

                                2)What is the kinetic energy of the rock before it enters the pool?                             

KE =11544.40 J                             

                                3)After the rock and the water reached thermal equilibrium, what is the equilibrium temperature? The specific heat of the rock is 1010 J/(kg*K).                             

T =_______________ degrees c

Explanation / Answer

1) m = d*V = 1000*6 = 6000 kg

2) final KE = initial PE= mgH

KE = 225*9.8*5.25 = 11576.25 J

3) m1s1dT1 = m2s2dT2

225*1010*(30.2 -T) = 6000*4186*(T-15.5)

396160950 = 25343250T

T = 15.6318 C

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