# 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.

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