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 with Applications, Books a la Carte Edition & Modified Mastering Physics with Pearson eText -- ValuePack Access Card Package

1st Edition

ISBN: 9780321974990

Author: Douglas C. 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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Chapter 6 Solutions

Physics: Principles with Applications, Books a la Carte Edition & Modified Mastering Physics with Pearson eText -- ValuePack Access Card Package

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Ch. 6 - A hill has a height h. A child on a sled (total...Ch. 6 - Analyze the motion of a simple swinging pendulum...Ch. 6 - In Fig. 6-31, water balloons are tossed from the...Ch. 6 - What happens to the gravitational potential energy...Ch. 6 - Experienced hikers prefer to step over a fallen...Ch. 6 - The energy transformations in pole vaulting and...Ch. 6 - Prob. 16Q Ch. 6 - 17. Two identical arrows, one with twice the speed...Ch. 6 - Prob. 18Q Ch. 6 - Prob. 19Q Ch. 6 - Describe the energy transformations that take...Ch. 6 - Prob. 21Q Ch. 6 - Prob. 22Q Ch. 6 - Prob. 23Q Ch. 6 - Prob. 1MCQ Ch. 6 - Prob. 2MCQ Ch. 6 - When the speed of your car is doubled, by what...Ch. 6 - Prob. 4MCQ Ch. 6 - Prob. 5MCQ Ch. 6 - Prob. 6MCQ Ch. 6 - Prob. 7MCQ Ch. 6 - Prob. 8MCQ Ch. 6 - Prob. 9MCQ Ch. 6 - Prob. 10MCQ Ch. 6 - Prob. 11MCQ Ch. 6 - Prob. 12MCQ Ch. 6 - Prob. 13MCQ Ch. 6 - Prob. 14MCQ Ch. 6 - A 75.0-kg firefighter climbs a flight of stairs...Ch. 6 - The head of a hammer with a mass of 1.2 kg is...Ch. 6 - How much work did the movers do (horizontally)...Ch. 6 - A 1200-N crate rests on the floor. How much work...Ch. 6 - What is the minimum work needed to push a 950-kg...Ch. 6 - Estimate the work you do to mow a lawn 10 m by 20...Ch. 6 - In a certain library the first shelf is 15.0 cm...Ch. 6 - A lever such as that shown in Fig. 6-35 can be...Ch. 6 - A box of mass 4.0 kg is accelerated from rest by a...Ch. 6 - A 380-kg piano slides 2.9 m down a 25° incline and...Ch. 6 - Recall from Chapter 4, Example 4-14, that you can...Ch. 6 - A grocery cart with mass of 16 kg is being pushed...Ch. 6 - The force on a particle, acting along the x axis,...Ch. 6 - A 17,000-kg jet takes off from an aircraft carrier...Ch. 6 - At room temperature, an oxygen molecule, with mass...Ch. 6 - (a) If the kinetic energy of a particle is...Ch. 6 - How much work is required to stop an electron...Ch. 6 - How much work must be done to stop a 925-kg car...Ch. 6 - Prob. 19P Ch. 6 - A baseball (m = 145 g) traveling 32 m/s moves a...Ch. 6 - Prob. 21P Ch. 6 - Prob. 22P Ch. 6 - Prob. 23P Ch. 6 - 24. (Ill) One car has twice the mass of a second...Ch. 6 - 25. (Ill) A 265-kg load is lifted 18.0 m...Ch. 6 - 26. (I) By how much does the gravitational...Ch. 6 - A spring has a spring constant k of 88.0 N/m. How...Ch. 6 - Prob. 28P Ch. 6 - 29. (II) A 66.5-kg hiker starts at an elevation of...Ch. 6 - Prob. 30P Ch. 6 - A novice skier starting from rest, slides down an...Ch. 6 - 32. (I) Jane, looking for Tarzan, is running at...Ch. 6 - A sled is initially given a shove up a...Ch. 6 - Prob. 34P Ch. 6 - 35. (II) A spring with k=83 N/m hangs vertically...Ch. 6 - Prob. 36P Ch. 6 - Prob. 37P Ch. 6 - Prob. 38P Ch. 6 - Prob. 39P Ch. 6 - Prob. 40P Ch. 6 - Prob. 41P Ch. 6 - 42. (II) What should be the spring constant k of a...Ch. 6 - 43. (Ill) An engineer is designing a spring to be...Ch. 6 - Prob. 44P Ch. 6 - 45. (III) A cyclist intends to cycle up a 7.50°...Ch. 6 - Prob. 46P Ch. 6 - Prob. 47P Ch. 6 - Prob. 48P Ch. 6 - Prob. 49P Ch. 6 - Prob. 50P Ch. 6 - Prob. 51P Ch. 6 - 52. (II) You drop a ball from a height of 2.0 m,...Ch. 6 - 53. (II) A 66-kg skier starts from rest at the top...Ch. 6 - 54. (II) A projectile is fired at an upward angle...Ch. 6 - 55. (II) The Lunar Module could make a safe...Ch. 6 - 56. (III) Early test flights for the space shuttle...Ch. 6 - How long will It take a 2750-W motor to lift a...Ch. 6 - 58. (I) (a) Show that one British horsepower (550...Ch. 6 - An 85-kg football player traveling 5.0 m/s is...Ch. 6 - Prob. 60P Ch. 6 - Prob. 61P Ch. 6 - A shot-putter accelerates a 7.3-kg shot from rest...Ch. 6 - Prob. 63P Ch. 6 - 64. (II) How much work can a 2.0-hp motor do in...Ch. 6 - Prob. 65P Ch. 6 - Prob. 66P Ch. 6 - Prob. 67P Ch. 6 - Prob. 68P Ch. 6 - Prob. 69P Ch. 6 - 70. (II) What minimum horsepower must a motor have...Ch. 6 - Prob. 71P Ch. 6 - Prob. 72GP Ch. 6 - Prob. 73GP Ch. 6 - Prob. 74GP Ch. 6 - Prob. 75GP Ch. 6 - Prob. 76GP Ch. 6 - Prob. 77GP Ch. 6 - Prob. 78GP Ch. 6 - Prob. 79GP Ch. 6 - Prob. 80GP Ch. 6 - Prob. 81GP Ch. 6 - Prob. 82GP Ch. 6 - Prob. 83GP Ch. 6 - Prob. 84GP Ch. 6 - Prob. 85GP Ch. 6 - Prob. 86GP Ch. 6 - Prob. 87GP Ch. 6 - Prob. 88GP Ch. 6 - Prob. 89GP Ch. 6 - Prob. 90GP Ch. 6 - Prob. 91GP Ch. 6 - Prob. 92GP Ch. 6 - Prob. 93GP Ch. 6 - Prob. 94GP

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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.