Adrian 80.0kg jumps out of an airplane at an altitude of 1.00*10^3m. After his parechute deploys, the adrian lands with a velocity of 5.00m/s. Using the work kinetic energy theorem, find the energy that was lost to air resistence to during this jump. (g=9.81m/s^2)

Question

Physics

Arthur Giles

4 March, 04:49

Adrian 80.0kg jumps out of an airplane at an altitude of 1.00*10^3m. After his parechute deploys, the adrian lands with a velocity of 5.00m/s. Using the work kinetic energy theorem, find the energy that was lost to air resistence to during this jump. (g=9.81m/s^2)

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Mariela Gilmore · Answer 1

- - Before Adrian left the airplane, his gravitational potential energy was

(mass) x (gravity) x (height) = (80kg) x (9.81m/s²) x (1,000m) = 784,800 joules

- - When he reached the ground, his kinetic energy was

(1/2) x (mass) x (speed) ² = (40kg) x (5m/s) ² = 1,000 joules

- - Between the airplane and the ground, the Adrian lost

(784,800 joules) - (1,000 joules) = 783,800 joules

Where did all that energy go?

Energy never just disappears. If it's missing, it had to go somewhere.

The Adrian used 783,800 joules of energy to push air our of his way

so that he could continue his parachute jump, and reach the ground

in time to be home for dinner.