Question

Asked Oct 14, 2019

A 59 kg skier leaves the end of a ski-jump ramp with a velocity of 26 m/s directed 20° above the horizontal. Suppose that as a result of air drag the skier returns to the ground with a speed of 17 m/s, landing 11 m vertically below the end of the ramp. From the launch to the return to the ground, by how much is the mechanical energy of the skier-Earth system reduced because of air drag?

Step 1

Consider the mechanical energy of the skier as the kinetic and potential energies, the mass of the skier be *m*, the initial velocity of the skier be *u*, the vertical displacement of the skier be *h*, the final velocity of the skier be *v*, the total initial energy of the skier be *E _{i}*, and the total final energy of the skier be

The total initial energy of the skier, when it is at the vertical height *h*, can be calculated as,

Step 2

The total final energy of the skier, when it ret...

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