The steel hammer falls from a height of 10 m and drives the pile. When hitting, 50% of the energy goes into heating it.

The steel hammer falls from a height of 10 m and drives the pile. When hitting, 50% of the energy goes into heating it. How many degrees does the hammer heat up?

Data: h (height from which the steel hammer falls) = 10 m; η (percentage of mechanical energy used for heating) = 50% (0.5).

Constants: g (acceleration due to gravity) ≈ 10 m / s2; С (specific heat capacity of steel) = 500 J / (kg * ºС).

The change in temperature of a steel hammer in one blow is determined from the formula: η = Q / Em = C * m * Δt / (m * g * h) = C * Δt / (g * h), whence Δt = η * g * h / с.

Calculation: Δt = 0.5 * 10 * 10/500 = 0.1 ºС.

Answer: For one blow, the temperature of the hammer increases by 0.1 ºС.