Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

The summit of Mount Everest is 8850 m above sea level. (a) How much energy would a 90 kg climber expand against the gravitational force on him in climbing to the summit from sea level? (b) How many candy bars, at 1.25 MJ per bar, would supply an energy equivalent to this? Your answer should suggest that work done against the gravitational force is a very small part of the energy expended in climbing a mountain.

The energy that the climber expands to work against the gravitational force is $7.8 \times 10^{6} J$
Number of candy bars required are 6 bar .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: The given data

The mass of the climber is, m = 90 kg

The energy that the climber gets per bar, E = 1.25 MJ $(\frac{10^{6} MJ}{1 MJ}) = 1.25 \times 10^{6} J$

The height of the summit of Mount Everest, h = 8850 m

The acceleration due to gravity is, $g = 9.8 m / s^{2}$

Step 2: Understanding the concept of energy

The energy of the climber against the gravitational force from the sea level shows the results that there is a change in potential energy.

Formula:

Change in potential energy, $∆ PE = mg (h_{2} - h_{1})$ (1)

Step 3: a) Calculation of the energy expended by the climber to climb the height

The work or energy expanded by the climber to go against the gravitational force to climb to the summit of the mountain is given using equation (1):

W = Change in potential energy

$= 90 kg \times 9.8 m / s^{2} \times (8850 m - 0 m) = 7.8 \times 10^{6} kg . m^{2} / s^{2} (\frac{1 J}{1 kg . m^{2} / s^{2}}) = 7.8 \times 10^{6} J$

Hence, the value of the energy is $7.8 \times 10^{6} J$ .

Step 4: b) Calculation of the required candy bars to consume that energy in part (a)

The number of candy bars that are required by the climber to supply energy is given as:

$n = \frac{7.8 \times 10^{6} J}{1.25 \times 10^{6} J / bar} = 6.2 bar \approx 6 bar$

Hence, the required candies are 6 bar .

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Fundamentals Of Physics

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Short Answer

Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of energy

Step 3: a) Calculation of the energy expended by the climber to climb the height

Step 4: b) Calculation of the required candy bars to consume that energy in part (a)

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Fundamentals Of Physics

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Step by Step Solution

Step 1: The given data

Step 2: Understanding the concept of energy

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Step 4: b) Calculation of the required candy bars to consume that energy in part (a)

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