A 64 kg sky diver jumped out of an airplane at an altitude of 0.90 km . She opened her parachute

step 1 Question number six. In this question, the mass of the diver is given as M is equal to 64 KG. Th

A 64 kg sky diver jumped out of an airplane at an altitude...

A 64 kg sky diver jumped out of an airplane at an altitude of $0.90 \mathrm{km} .$ She opened her parachute after a while and eventually landed on the ground with a speed of $5.8 \mathrm{m} / \mathrm{s} .$ How much energy was dissipated by air resistance during the jump?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Gravitational Potential Energy

This is the energy an object possesses due to its position in a gravitational field. It is typically calculated as the product of the mass, gravitational acceleration, and height, and represents the initial energy available that can be converted to other forms as an object falls.

Kinetic Energy

Kinetic energy is the energy of motion, determined by the mass of an object and the square of its velocity. In the context of a falling object, the final kinetic energy reflects the energy retained after other forms—like air resistance—have reduced the initial gravitational potential energy.

Energy Dissipation

Energy dissipation refers to the loss of mechanical energy (in this case from the conversion of gravitational potential energy to kinetic energy) due to non-conservative forces such as air resistance. This lost energy is typically converted to other forms, like heat, and is not available for doing useful work.

Conservation of Energy

This fundamental principle states that in a closed system, energy is neither created nor destroyed but can change forms. When dealing with problems involving energy loss, such as air resistance during a fall, the difference between the initial energy (gravitational potential) and the final energy (kinetic) accounts for the energy dissipated.

Transcript

Please give Ace some feedback