Problem

The author’s local bicycling club often rides along a particularly long and steep stretc...

The author’s local bicycling club often rides along a particularly long and steep stretch of road the cyclists have named “Thousand Calorie Hill.” This name suggests that the change in potential energy, and hence the amount of energy expended, in riding up this hill is 1000 Calories. The Calorie is a unit used to measure the energy in food, with 1 Calorie = 1000 calories (lowercase “c”) = 4186 J. Do you think this name could be a reasonable one for any biking hill? Hint: Estimate the change in gravitational potential energy of a person who climbs the steepest hill in your neighborhood.

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