You and your bicycle have combined mass 80.0 kg. When you reach the base of a br

Question

You and your bicycle have combined mass 80.0 kg. When you reach the base of a bridge, you are traveling along the road at 6.50 m/s (the figure (Figure 1) ). At the top of the bridge, you have climbed a vertical distance of 5.20 m and have slowed to 2.50 m/s . You can ignore work done by friction and any inefficiency in the bike or your legs.

a)What is the total work done on you and your bicycle when you go from the base to the top of the bridge?

b)How much work have you done with the force you apply to the pedals?

Explanation / Answer

b) by the conservation of energy

energy at Bottom +Work done = energy at top +Potential Energy

1/2 * 80 * 6.5^2 + W = 1/2 * 80 * 2.5^2 + 80*9.8*5.20

W = 2363.8 J

a) work done on you and your bicycle =-W = -2363.8J

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