Question

A bicycle and rider going 15 m/s approach a hill. Their total mass is 89 kg.

b) If the rider coasts up the hill without pedaling, how high above its starting level will the bicycle be when it finally rolls to a stop?

Answer 1

Kinetic energy is given by (1/2)mv2, so it is (1/2)(57 kg)(14 m/s)2 = 5586 J. To solve part b, you need to use conservation of energy. The kinetic energy is converted into potential energy. Potential energy is given by mgh, so you have mgh = 5586 J. Therefore, h = 5586 J/(mg) = 10 m.

Step-by-step explanation: