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Answer :
Final answer:
The problem is about understanding energy transformation from potential to kinetic, then to heat energy. You calculate the potential energy of the ball, which converts to heat upon impact. The temperature rise is then influenced by the specific heat of iron and the fact that only half of the heat energy goes into raising the temperature.
Explanation:
The subject of the given problem falls within the field of physics, particularly in the discussion of energy transformations, specifically potential and kinetic energy, as well as heat energy. Upon dropping the iron ball from a certain height, it first has potential energy which changes into kinetic energy as the ball falls. Upon impact, there will be generation of heat energy.
First, we identify the potential energy possessed by the ball at a height of 84m, calculated using the formula PE=mgh, where m is mass, g is acceleration due to gravity, and h is height. Upon impact, this potential energy transforms into heat energy.
To find out how much this heat energy can increase the temperature of the iron ball, we also need to know the specific heat of iron, which is about 448 J/kg°C. The formula to find the change in temperature is given by ΔT = Q/(mc), where ΔT is the change in temperature, Q is heat, m is mass, and c is specific heat. Please note that only half of the energy generates heat that raises the temperature of the ball, so you need to take this into account when performing your calculations.
Learn more about Energy Transformation here:
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