Conversion of Energy

Question

Amy, who has a mass of 68 kg, is riding her bicycle in the country. She is traveling at 11m / s when she begins to coast down a hill. She then coasts up another hill that is 15 m high and comes to a stop just as she reaches the top. How high was the first hill, in m?

Answer 1

(1/2)mv² + mgh_FH = mgh_SH where FH and SH mean first and second hill. Now solve for v on the first hill (at the beginning)

v = sqrt(2g(h_SH-h_FH))

Substitute in to solve.

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