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A 82.9 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 670 (food) calories. How high must the person climb? The acceleration due to gravity is 9.8 m/s2 and 1 food calorie is 10^3 calories.

Respuesta :

batolisis

The weight watcher must climb : 3.45 km to work off the equivalent of a large piece of chocolate cake rated at 670 calories.

Determine how high the weight-watcher must climb

First step : convert the energy to joules

670 calories to Joules

E = 670 * 10³ * 4.184

  = 2803280 J

Next step : Equate energy to gravitational potential energy

2803280 J = mgh

2803280 = 82.9 * 9.8 * h

Therefore :

h = 2803280 / ( 812.42 )

  = 3451 m  = 3.45 Km

Hence we can conclude that The weight watcher must climb : 3.45 km

Learn more about Mountain climbing : https://brainly.com/question/787978

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