A 73.9 kg weight-watcher wishes to climb a
mountain to work off the equivalent of a large
piece of chocolate cake rated at 991 (food)
Calories.
How high must the person climb? The
acceleration due to gravity is 9.8 m/s2 and 1
food Calorie is 103 calories.
Answer in units of km.

Respuesta :

The height to which the weight-watcher must climb to work off the equivalent 991 (food) Calories is 0.59 Km

How to determine the energy.

1 food calorie = 103 calories

Therefore,

991 food calories = 991 × 103

991 food calories = 102073 calories

Multiply by 4.2 to express in joule (J)

991 food calories = 102073 × 4.2

991 food calories = 428706.6 J

How to determine the height

  • Energy (E) = 428706.6 J
  • Mass (m) = 73.9 kg
  • Acceleration due to gravity (g) = 9.8 m/s²
  • Height (h) =?

E = mgh

Divide both side by mg

h = E / mg

h = 428706.6 / (73.9 × 9.8)

h = 591.95 m

Divide by 1000 to express in km

h = 591.95 / 1000

h = 0.59 Km

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