Recall:

$\overline{){\mathbf{P}}{\mathbf{.}}{\mathbf{E}}{\mathbf{.}}{\mathbf{=}}{\mathbf{mgh}}}$

$\overline{){\mathbf{K}}{\mathbf{.}}{\mathbf{E}}{\mathbf{.}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{{\mathbf{mv}}}^{{\mathbf{2}}}}$

A bicyclist is stopped at the entrance to a valley, as sketched below:

A. Where would the bicyclist have the highest potential energy?

B. Where would the bicyclist have the lowest potential energy?

C. Where would the bicyclist have the highest kinetic energy?

D. Where would the bicyclist have the highest speed?

E. Would the bicyclist's kinetic energy be higher at B or C?

F. Would the bicyclist's potential energy be higher at B or C?

G. Would the bicyclist's total energy be higher at B or C?

H. Suppose the bicyclist lets off the brakes and coasts down into the valley without pedaling. Even if there is no friction or air resistance to slow him down, what is the farthest point the bicyclist could reach without pedaling?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Kinetic & Potential Energy concept. You can view video lessons to learn Kinetic & Potential Energy. Or if you need more Kinetic & Potential Energy practice, you can also practice Kinetic & Potential Energy practice problems.

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Based on our data, we think this problem is relevant for Professor Fakhreddine's class at TEXAS.