# How will the temperature of a zinc ball change when dropped from a height of 0.4 meters?

**How will the temperature of a zinc ball change when dropped from a height of 0.4 meters? Consider that all the mechanical energy of the ball is converted into heat. Heat exchange with the environment is neglected.**

Given:

H = 0.4 meters – the height from which the zinc ball falls;

g = 10 m / s ^ 2 – acceleration of gravity;

c = 400 J / (kg * C) – specific heat of zinc.

It is required to find the change in the temperature of zinc dT when falling from a height H.

According to the problem statement, all mechanical energy is converted into thermal energy, that is:

Epotential = Qthermal;

m * g * H = m * c * dT;

g * H = c * dT

dT = g * H / c = 10 * 0.4 / 400 = 4/400 = 0.01 degrees Celsius.

Answer: When falling from a height, the zinc temperature will rise by 0.01 degrees Celsius.