Concept explainers
(a)
The average power required for the person to hike up to the top of Yosemite Falls in
(a)

Answer to Problem 106P
The average power required for the person to hike up to the top of Yosemite Falls in
Explanation of Solution
Given that the mass of the person is
Write the expression for the average power output.
Here,
In the climbing process, the change in energy is equal to the change in gravitational potential energy. Hence the equation (I) can be modified by replacing
Write the expression for the change in gravitational potential energy.
Here,
Use equation (III) in (II).
Conclusion:
Substitute
Therefore, the average power required for the person to hike up to the top of Yosemite Falls in
(b)
The chemical energy used in hiking to the top of the Yosemite Falls in
(b)

Answer to Problem 106P
The chemical energy used in hiking to the top of the Yosemite Falls in
Explanation of Solution
Given that the human body is only
Upon hiking to the top of the Yosemite Falls, the body of the person gains potential energy.
Write the expression for the chemical energy used while gaining potential energy.
Here,
Use equation (III) in (V).
Conclusion:
Substitute
Therefore, the chemical energy used in hiking to the top of the Yosemite Falls in
(c)
The amount of energy used in kilocalories for the hike.
(c)

Answer to Problem 106P
The amount of energy used in kilocalories for the hike is
Explanation of Solution
Given that the chemical energy used for the hike is
Write the conversion formula between energy in Joules and kilocalories.
The chemical energy used in the hike is given by the expression,
Use the conversion formula (VII) to convert the
Conclusion:
Substitute
Therefore, the amount of energy used in kilocalories for the hike is
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Chapter 6 Solutions
PHYSICS
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