Correction
One food calorie is not 103 calories, rather, 1000 calories
Answer:
4.2 km
Explanation:
One food calorie is equal to 1000 calories and each calorie has 4.184 J hence for 617 food calories, the energy is equal to 617*1000*4.184
This energy is also given by mgh, the potential energy. M is the mass, g is acceleration due to gravity and h is height in metres.
Substituting 62.7 kg for m, 9.8 for g then
62.7*9.8h=617*1000*4.184
[tex]h=\frac {617*1000*4.184}{62.7*9.8}=4,201.2954464081m=4.2012954464081 km\approx 4.2 km[/tex]
The person must climb "5299 m" high. To understand the calculation, check below.
According to the question,
Mass, m = 62.2 kg
Acceleration due to gravity, g = 9.8 m/s²
Cake's energy, E = 772 Calories or,
= 3.23 × 10⁶ J
We know the formula,
→ Potential energy, E = mgh
or,
The height, h = [tex]\frac{E}{mg}[/tex]
By substituting the values,
= [tex]\frac{3.23\times 10^6}{62.2\times 9.80}[/tex]
= [tex]\frac{3.23\times 10^6}{609.56}[/tex]
= 5299 m
Thus the above response is correct.
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