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Greta is on the chairlift going up the mountain when one of her skis falls off.
The ski has a mass of 5 kg and hits the snow below with a speed of 72 km/h.
How high is the chairlift above the snow when the ski falls off?
(Ignore air resistance.)


Sagot :

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.

Learn more about conservation of energy here: https://brainly.com/question/24772394

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