The diagram below shows a skier on a slope descending 750 m at an angle of 25° to the horizontal.Calculate the final speed of the skier, assuming that he starts from rest and 15% of his initial gravitational potential energy is not transferred to kinetic energy.
Step 1: Write down the known quantities
Step 2: Equate the equations for Ek and Egrav
Ek = 0.85 Egrav
½ mv2 = 0.85 × mgh
Step 3: Rearrange for final speed, v
Step 4: Calculate the final speed, v
Gravitational energy:
Kinetic energy:
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