Answer:
The heat produced is 1568 J
Step-by-step explanation:
The given parameters are;
The mass of the person, m = 80 kg
The height from which the person falls, h = 2 m
Mechanical Energy, ME = Potential Energy, PE + Kinetic Energy, KE
At the height, from where the person falls, the initial velocity of the person = 0 m/s
Therefore;
The initial kinetic energy, K.E. = 1/2·m·v² = 1/2 × 80 kg × (0 m/s)² = 0 J
From which we have;
The Mechanical Energy, M.E. = The initial Potential Energy, P.E. + 0 J
∴ The Mechanical Energy, M.E. = The initial Potential Energy, P.E.
The initial Potential Energy, P.E. = m·g·h
Where;
m = The mass of the person
g = The acceleration due to gravity ≈ 9.8 m/s²
∴ The initial Potential Energy, P.E. = 80 kg × 9.8 m/s² × 2 m = 1568 J
The Mechanical Energy, M.E. = The initial Potential Energy, P.E. = 1568 J
The whole mechanical energy is converted into heat energy, therefore, we have;
The Mechanical Energy, M.E. = The heat energy = 1568 J
The heat produced = The heat energy = 1568 J.