How many degrees does a piece of steel weighing 2 kg heat up during stamping from a hammer hitting

How many degrees does a piece of steel weighing 2 kg heat up during stamping from a hammer hitting 350 kg if the hammer falls from a height of 2 m, and 50% of the hammer’s energy is spent on heating a piece of steel?

Data: m1 (mass of a piece of steel) = 2 kg; m2 (hammer weight) = 350 kg; h (drop height of the hammer) = 2 m; η (percentage of hammer energy that goes into heating) = 50% (0.5).

Constants: g (acceleration of gravity) = 9.81 m / s2; С (specific heat capacity of steel) = 500 J / (kg * ºС).

The increase in temperature of a piece of steel is determined from the equality: η * Ep = Q; η * m2 * g * h = C * m1 * Δt; Δt = η * m2 * g * h / (C * m1).

Calculation: Δt = 0.5 * 350 * 9.81 * 2 / (500 * 2) = 3.43 ºС.

Answer: A piece of steel will heat up by 3.43 ºС.