This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the given values and convert units. The mass of the iron is m = 200 \, g. Convert this to kilograms: m = 200 \, g × 1 \, kg1000 \, g = 0.2 \, kg The specific heat capacity of iron is c = 400 \, J/kg/K. The initial temperature is T_1 = 95^. The final temperature is T_2 = 35^. Step 2: Calculate the change in temperature ( T). The change in temperature is the difference between the initial and final temperatures: T = T_1 - T_2 T = 95^ - 35^ = 60^ Since a change of 1^ is equal to a change of 1 \, K, T = 60 \, K. Step 3: Calculate the energy given out using the formula Q = mc T. Substitute the values into the formula: Q = (0.2 \, kg) × (400 \, J/kg/K) × (60 \, K) Q = 80 \, J/K × 60 \, K Q = 4800 \, J The energy given out is 4800 J. That's 2 down. 3 left today — send the next one.