Answered

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A 55 kg skier is at the top of a slope. The vertical distance between start and finish is 10m. (a) What is her Potential Energy? (b) How fast is she moving at the bottom of the hill?

Sagot :

Explanation:

Given that,

Mass of a skier, m = 55 kg

The vertical distance between start and finish is 10 m.

(a) The potential energy of a skier is given by :

[tex]E=mgh\\\\E=55\times 9.8\times 10\\\\=5390\ J[/tex]

(b) When she reaches the bottom of the hill, the potential energy is converted to kinetic energy. So,

[tex]5390=\dfrac{1}{2}mv^2\\\\v=\sqrt{\dfrac{2\times 5390}{55}} \\\\v=14\ m/s[/tex]

Hence, her potential energy is 5390 J and at the bottom of the hill she is moving with a speed of 14 m/s.

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