Textbook Question
Bacteria vary in size, but a diameter of 2.0 μm is not unusual. What are the volume (in cubic centimeters) and surface area (in square millimeters) of a spherical bacterium of that size?
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Ch 01: Units, Physical Quantities & Vectors
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552
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Table of contents
- Ch 01: Units, Physical Quantities & Vectors37
- Ch 02: Motion Along a Straight Line57
- Ch 03: Motion in Two or Three Dimensions45
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws54
- Ch 06: Work & Kinetic Energy11
- Ch 07: Potential Energy & Conservation6
- Ch 08: Momentum, Impulse, and Collisions15
- Ch 09: Rotation of Rigid Bodies37
- Ch 10: Dynamics of Rotational Motion44
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics27
- Ch 13: Gravitation34
- Ch 14: Periodic Motion26
- Ch 15: Mechanical Waves22
- Ch 16: Sound & Hearing28
- Ch 17: Temperature and Heat28
- Ch 18: Thermal Properties of Matter35
- Ch 19: The First Law of Thermodynamics29
- Ch 20: The Second Law of Thermodynamics18
- Ch 21: Electric Charge and Electric Field28
- Ch 22: Gauss' Law21
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF24
- Ch 26: Direct-Current Circuits29
- Ch 27: Magnetic Field and Magnetic Forces16
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction22
- Ch 30: Inductance14
- Ch 31: Alternating Current20
- Ch 33: The Nature and Propagation of Light17
- Ch 34: Geometric Optics29
- Ch 35: Interference13
- Ch 36: Diffraction19
- Ch 37: Special Relativity19
- Ch 38: Photons: Light Waves Behaving as Particles12
- Ch 39: Particles Behaving as Waves25
- Ch 40: Quantum Mechanics I: Wave Functions20
- Ch 41: Quantum Mechanics II: Atomic Structure21
- Ch 42: Molecules and Condensed Matter17
- Ch 43: Nuclear Physics13
- Ch 44: Particle Physics and Cosmology17
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552Not the one you use?Change textbook
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Young & Freedman Calc 15th EditionCh 01: Units, Physical Quantities & VectorsProblem 7a
Young & Freedman Calc 15th EditionCh 01: Units, Physical Quantities & VectorsProblem 7aChapter 1, Problem 7a
A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). If you are driving this car in Europe and want to compare its mileage with that of other European cars, express this mileage in km/L (L = liter).
Verified step by step guidance1
Understand the conversion factors needed: 1 mile is approximately 1.60934 kilometers, and 1 gallon is approximately 3.78541 liters.
Convert the mileage from miles per gallon to kilometers per gallon using the conversion factor for miles to kilometers. Multiply 55.0 miles by 1.60934 km/mile.
Now, convert the result from kilometers per gallon to kilometers per liter using the conversion factor for gallons to liters. Divide the kilometers per gallon by 3.78541 liters/gallon.
The final expression will give you the mileage in km/L, which is the desired unit for comparison in Europe.
Ensure all units are correctly converted and check your calculations for accuracy to ensure the conversion is correct.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. In this context, it involves converting miles per gallon (mpg) to kilometers per liter (km/L). This requires understanding the conversion factors between miles and kilometers, and gallons and liters, to accurately translate the fuel efficiency measurement.
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07:46
Unit Conversions
Distance Conversion
Distance conversion is essential for translating miles into kilometers. One mile is equivalent to approximately 1.60934 kilometers. This conversion factor is crucial for expressing the car's mileage in terms of kilometers, which is the standard unit of distance used in Europe.
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Volume Conversion
Volume conversion involves changing gallons to liters, as European cars typically measure fuel efficiency in liters. One US gallon is approximately 3.78541 liters. Understanding this conversion is necessary to express the car's fuel efficiency in km/L, aligning with European standards.
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Related Practice
Textbook Question
Starting with the definition 1 in. = 2.54 cm, find the number of kilometers in 1.00 mile
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Textbook Question
The RDA for the trace element selenium is 0.000070 g/day. Express this dose in mg/day.
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Textbook Question
In the fall of 2002, scientists at Los Alamos National Laboratory determined that the critical mass of neptunium-237 is about 60 kg. The critical mass of a fissionable material is the minimum amount that must be brought together to start a nuclear chain reaction. Neptunium-237 has a density of 19.5 g/cm3. What would be the radius of a sphere of this material that has a critical mass?
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Textbook Question
How many nanoseconds does it take light to travel 1.00 ft in vacuum? (This result is a useful quantity to remember.)
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Textbook Question
According to the label on a bottle of salad dressing, the volume of the contents is 0.473 liter (L). Using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm, express this volume in cubic inches.
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