Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

Answers without the blur.

Just sign up for free and you're in.

Short Answer

(a) How long can you rapidly climb stairs \(\left( {116/{\rm{min}}} \right)\) on the \(93.0{\rm{ kcal}}\) of energy in a \(10.0 - {\rm{g}}\) pat of butter?
(b) How many flights is this if each flight has \(16\) stairs?

(a) A person can climb stairs for \(9.47{\rm{ s}}\) using \(93.0{\rm{ kcal}}\) of energy.

(b) Number of flights are \(69\).

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Definition of Concepts

Power: The quantity of energy transferred or transformed per unit of time is known as power. The watt is the unit of power in the International System of Units.

Mathematically,

\(P = \frac{E}{T}\)

Here, \(E\) is the energy consumption, and \(T\) is the time.

Step 2: Calculate the time of the person can climb

(a)

The time for which a can climb can calculated using equation (1.1).

Rearranging equation (1.1) in order to get an expression for time,

\(T = \frac{E}{P}\)

Here, \(E\) is the energy consumed by the person \(\left( {E = 93.0{\rm{ kcal}}} \right)\), and \(P\) is the power required to climb stairs \(\left( {P = 685{\rm{ W}}} \right)\).

Putting all known values,

\(\begin{array}{c}T = \frac{{93.0{\rm{ kcal}}}}{{685{\rm{ W}}}}\\ = \frac{{\left( {93.0{\rm{ kcal}}} \right) \times \left( {\frac{{1000{\rm{ cal}}}}{{1{\rm{ kcal}}}}} \right) \times \left( {\frac{{4.184{\rm{ J}}}}{{1{\rm{ cal}}}}} \right)}}{{685{\rm{ W}}}}\\ = 568{\rm{ sec}} \times \left( {\frac{{1{\rm{ min}}}}{{60{\rm{ sec}}}}} \right)\\ = 9.47{\rm{ s}}\end{array}\)

Therefore, a person can climb stairs for \(9.47{\rm{ s}}\) using \(93.0{\rm{ kcal}}\) of energy.

Step 3: Find the number of flights

(b)

Consider the given information:

Number of stairs a person can climb is \({n_s} = 116/{\rm{min}}\).

Number of stairs per flight \({n_f} = 16/{\rm{flight}}\).

Time taken to climb \(T = 9.47{\rm{ min}}\).

The number of flights is,

\(N = \frac{{{n_s}T}}{{{n_f}}}\)

Putting all known values,

\(\begin{array}{c}N = \frac{{\left( {116/{\rm{min}}} \right) \times \left( {9.47{\rm{ min}}} \right)}}{{\left( {16/{\rm{flight}}} \right)}}\\ = 68.66{\rm{ flights}}\\ \approx 69{\rm{ flights}}\end{array}\)

Therefore, the required number of flights is \(69\).

Find Study Materials for

Create Study Materials

Select your language

College Physics (Urone)

Answers without the blur.

Short Answer

(a) How long can you rapidly climb stairs \(\left( {116/{\rm{min}}} \right)\) on the \(93.0{\rm{ kcal}}\) of energy in a \(10.0 - {\rm{g}}\) pat of butter?
(b) How many flights is this if each flight has \(16\) stairs?

Step by Step Solution

Step 1: Definition of Concepts

Step 2: Calculate the time of the person can climb

Step 3: Find the number of flights

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Select your language

College Physics (Urone)

Answers without the blur.

Short Answer

(a) How long can you rapidly climb stairs \(\left( {116/{\rm{min}}} \right)\) on the \(93.0{\rm{ kcal}}\) of energy in a \(10.0 - {\rm{g}}\) pat of butter? (b) How many flights is this if each flight has \(16\) stairs?

Step by Step Solution

Step 1: Definition of Concepts

Step 2: Calculate the time of the person can climb

Step 3: Find the number of flights

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Work Energy and Power

Radiation

Astrophysics

Physics of Motion

Scientific Method Physics

Fluids

Torque and Rotational Motion

Nuclear Physics

Fields in Physics

Measurements

Space Physics

Electricity

Physical Quantities and Units

Medical Physics

Electrostatics

Further Mechanics and Thermal Physics

Mechanics and Materials

Engineering Physics

Energy Physics

Force

Particle Model of Matter

Waves Physics

Magnetism

Modern Physics

Atoms and Radioactivity

Dynamics

Electricity and Magnetism

Conservation of Energy and Momentum

Fundamentals of Physics

Kinematics Physics

Circular Motion and Gravitation

Linear Momentum

Rotational Dynamics

Oscillations

Translational Dynamics

Geometrical and Physical Optics

Thermodynamics

Magnetism and Electromagnetic Induction

Electromagnetism

Electric Charge Field and Potential

Turning Points in Physics

(a) How long can you rapidly climb stairs \(\left( {116/{\rm{min}}} \right)\) on the \(93.0{\rm{ kcal}}\) of energy in a \(10.0 - {\rm{g}}\) pat of butter?
(b) How many flights is this if each flight has \(16\) stairs?