Answer:
a) Eg = 3,060.72 j
b) Ek = 2,080 j
c) Etotal = 5,140.72 j
Explanation:
The given parameters are;
The mass of the person, m = 65 kg
The height of the person, h = 4.8 m
The speed of the person, v = 8.0 m/s
a) The gravitational potential energy, = m·g·h
Where;
g = The acceleration due to gravity ≈ 9.81 m/s²
∴ Eg = 65 kg × 9.81 m/s² × 4.8 m = 3,060.72 j
Eg = 3,060.72 j
b) The kinetic energy, Ek = 1/2·m·v²
∴ Ek = 1/2 × 65 kg × (8.0 m/s)² = 2,080 j
Ek = 2,080 j
c) The constant total Mechanical Energy, Etotal = Eg + Ek
∴ Etotal = 3,060.72 j + 2,080 j = 5,140.72 j
Etotal = 5,140.72 j.