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A girl and her bicycle have a total mass of 40. 0 kg. At the top of the hill her speed is 5. 0 m/s, and her speed doubles as she rides down the hill. The hill is 10. 0 m high and 100 m long. How much kinetic energy and potential energy is lost to friction?

Respuesta :

Answer:

The kinetic energy and potential energy lost to friction is 2,420 J.

Explanation:

Given;total mass, m = 40 kginitial velocity of the girl, Vi = 5 m/shight of the hill, h = 10 mlength of the hill, L = 100 minitial kinetic energy of the girl at the top hill:initial potential energy of the girl at the top hill:Total energy at the top of the hill:E = 500 J + 3920 JE = 4,420 JAt the bottom of the hill:final velocity = double of the initial velocity = 2 x 5 m/s = 10 m/shight of the hill = 0final kinetic energy of the girl at the bottom of the hill:final potential energy of the girl at the bottom of the hill:Based on the principle of conservation of energy;  the sum of the energy at the top hill = sum of the energy at the bottom hillThe energy at the bottom hill is less due to energy lost to friction.

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