NEED HELP WITH #3 A rock of mass 228 kg sits in full sunlight on the edge of a c
ID: 1479887 • Letter: N
Question
NEED HELP WITH #3
A rock of mass 228 kg sits in full sunlight on the edge of a cliff 5.28 m high. The temperature of the rock is 30.4oC. The rock falls from the cliff into a pool containing 6 m3 of water at a temperature of 15.8oC.
1.) What 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= 11809.67 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= ____ Celsius
Explanation / Answer
1) m = 6 * 1000 = 6000 kg
2) KE = mv2/2 = mgh = 228 * 9.81 * 5.28 = 11809.67 kJ
3) mrCrTr = mwCwTw
=> 228 * 1010 * (30.4 - T) = 6000 * 4186 * (T - 15.8)
=> T = 15.93 oC
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