Answer :
The change in potential energy of the hiker is approximately 11,700 Joules. This is calculated by multiplying the mass of the hiker (64 kg) by the change in height between Death Valley and Mt. Whitney (2,400 m) and the acceleration due to gravity (9.8 m/s2).
First, calculations need to be done to determine how high the hiker is climbing. Mt. Whitney is the highest peak in the contiguous United States, at 14,505 ft above sea level. Death Valley is the lowest point in North America, at 282 ft below sea level. This means the hiker is climbing a total of 14,787 ft.
Next, the change in potential energy needs to be calculated. Potential energy is equal to the mass of an object multiplied by the acceleration due to gravity times the height of the object. So the change in potential energy for the hiker can be calculated as follows:
Change in Potential Energy = (64 kg) * (9.8 m/s^2) * (14,787 ft)
Change in Potential Energy = 9,424,912 kg m^2/s^2
Therefore, the change in potential energy of the 64 kg hiker climbing from the floor of Death Valley to the top of Mt. Whitney is 9,424,912 kg m^2/s^2.
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