Suppose a skydiver (mass=75kg) is falling toward the earth when the skydiver is 100m above the earth he is moving at 60m/s at this point calculate the skydivers gravitational potential energy, kinetic energy, mechanical energy

PE = 7.4 × 10⁴ J

KE = 1.4 × 10⁵ J

ME = 2.1 × 10⁵ J

Explanation:

Given data

mass (m): 75 kg

height (h): 100 m

speed (v): 60 m/s

acceleration due to gravity (g): 9.81 m/s²

Potential energy (PE)

This is the energy due to the position of the skydiver.

PE = m × g × h = 75 kg × 9.81 m/s² × 100 m = 7.4 × 10⁴ J

Kinetic energy (KE)

This is the energy due to the movement of the skydiver.

KE = 1/2 × m × v² = 1/2 × 75 kg × (60 m/s)² = 1.4 × 10⁵ J

Mechanical energy (ME)

The mechanical energy is the sum of the potential energy and the kinetic energy.

ME = PE + KE = 7.4 × 10⁴ J + 1.4 × 10⁵ J = 2.1 × 10⁵ J

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