
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
??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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