Question

A 73.9 kg weight-watcher wishes to climb a

Answer 1

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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