Explanation Given: The mass of the hiker is m = 65 kg Total height covered by the hiker: h = 4200 − 2800 kg h = 1400 m Time taken by the hiker to climb to the given height is: t = 4.6 h t = 4.6 × 3600 s t = 16 , 560 s Formula used The formula for work done against gravity is W = m g h . Where, m is the mass, g is the gravitational acceleration and h is the height. The formula for power is P = W t . Where, W is the work done and t is the time. Calculations Part a The work done by the hiker against gravity is: W = m g h W = 65 × 9.8 × 1400 J W ≈ 891800 J Part b The average power in watts: P = W t P = 891800 16 , 560 W P = 54 watts In horsepower: P 746 hp = 54 746 hp =7

Physics: Principles and Applications -- Pearson e Text Instant Access (Pearson+)

7th Edition

ISBN: 9780137679065

Author: Douglas Giancoli

Publisher: PEARSON+

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Chapter 6, Problem 89GP

To determine

a. The work done by the hiker against gravity.

b. The average power output in watts and horsepower.

c. The rate of energy input required.

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Chapter 6, Problem 88GP

Chapter 6, Problem 90GP

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Physics: Principles and Applications -- Pearson e Text Instant Access (Pearson+)

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a. The work done by the hiker against gravity. b. The average power output in watts and horsepower. c. The rate of energy input required.