Textbook Question
The distance from Earth to the Moon is approximately 240,000 mi. (c) The speed of light is 3.00 ⨉ 108 m/s. How long does it take for light to travel from Earth to the Moon and back again?
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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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Table of contents
- Ch.1 - Introduction: Matter, Energy, and Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not the one you use?Change textbook
Chapter 1, Problem 73b
The distance from Earth to the Moon is approximately 240,000 mi. (b) The peregrine falcon has been measured as traveling up to 350 km/ hr in a dive. If this falcon could fly to the Moon at this speed, how many seconds would it take?
Verified step by step guidance1
Convert the distance from Earth to the Moon from miles to kilometers using the conversion factor: 1 mile = 1.60934 kilometers.
Calculate the total distance in kilometers by multiplying 240,000 miles by the conversion factor.
Use the formula for time: \( \text{time} = \frac{\text{distance}}{\text{speed}} \) to find the time in hours it would take for the falcon to travel to the Moon.
Convert the time from hours to seconds using the conversion factor: 1 hour = 3600 seconds.
Multiply the time in hours by 3600 to get the time in seconds.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Unit Conversion
To solve the problem, it's essential to convert all measurements to the same unit. The distance to the Moon is given in miles, while the falcon's speed is in kilometers per hour. Converting miles to kilometers (1 mile ≈ 1.60934 km) allows for consistent units, making calculations straightforward.
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01:56
Conversion Factors
Speed, Distance, and Time Relationship
The relationship between speed, distance, and time is fundamental in physics and can be expressed with the formula: time = distance/speed. Understanding this relationship allows us to calculate how long it would take the falcon to reach the Moon by dividing the total distance by its speed.
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00:57Speed of Light Formula
Time Conversion
After calculating the time in hours, it is often necessary to convert this value into seconds for a more precise understanding. Since there are 3600 seconds in an hour, multiplying the time in hours by 3600 will yield the total time in seconds, which is the desired unit for this problem.
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01:56Conversion Factors
Related Practice
Textbook Question
The distance from Earth to the Moon is approximately 240,000 mi. (a) What is this distance in meters?
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Textbook Question
The distance from Earth to the Moon is approximately 240,000 mi. (d) Earth travels around the Sun at an average speed of 29.783 km/s. Convert this speed to miles per hour.
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Textbook Question
Which of the following would you characterize as pure or nearly pure substance? (a) stomach acid; (b) dry ice; (c) ice-cream; (d) stainless steel; (e) petroleum; (f) distilled water; (g) carbon monoxide gas; (h) compressed air in balloon.
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Textbook Question
Give the derived SI units for each of the following quantities in base SI units: (g) energy = mass × (velocity)2
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Textbook Question
Give the derived SI units for each of the following quantities in base SI units: (e) power = work/time
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