Answer :
The height of the chairlift above the snow when the ski falls off is determined as 20.4 m.
Conservation of energy
The height of the chairlift is calculated from the principle of conservation of mechanical energy as shown below;
P.E = K.E
mgh = ¹/₂mv²
gh = ¹/₂v²
h = v²/2g
where;
- v is speed of the ski when it hits the snow below = 72 km/h = 20 m/s
- g is acceleration due to gravity
h = (20)²/(2 x 9.8)
h = 20.4 m
Thus, the height of the chairlift above the snow when the ski falls off is determined as 20.4 m.
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