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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 Calc14th EditionUniversity PhysicsISBN: 9780321973610
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TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors41
- Ch 02: Motion Along a Straight Line67
- Ch 03: Motion in Two or Three Dimensions47
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws59
- Ch 06: Work & Kinetic Energy14
- Ch 07: Potential Energy & Conservation8
- Ch 08: Momentum, Impulse, and Collisions18
- Ch 09: Rotation of Rigid Bodies42
- Ch 10: Dynamics of Rotational Motion48
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics31
- Ch 13: Gravitation35
- Ch 14: Periodic Motion32
- Ch 15: Mechanical Waves25
- Ch 16: Sound & Hearing32
- Ch 17: Temperature and Heat36
- Ch 18: Thermal Properties of Matter38
- Ch 19: The First Law of Thermodynamics33
- Ch 20: The Second Law of Thermodynamics22
- Ch 21: Electric Charge and Electric Field36
- Ch 22: Gauss' Law24
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF26
- Ch 26: Direct-Current Circuits30
- Ch 27: Magnetic Field and Magnetic Forces18
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction28
- Ch 30: Inductance17
- Ch 31: Alternating Current21
- Ch 32: Electromagnetic Waves1
- Ch 33: The Nature and Propagation of Light20
- Ch 34: Geometric Optics34
- Ch 35: Interference19
- Ch 36: Diffraction25
- Ch 37: Special Relativity20
- Ch 38: Photons: Light Waves Behaving as Particles15
- Ch 39: Particles Behaving as Waves26
- Ch 40: Quantum Mechanics I: Wave Functions21
- Ch 41: Quantum Mechanics II: Atomic Structure25
- Ch 42: Molecules and Condensed Matter18
- Ch 43: Nuclear Physics16
- Ch 44: Particle Physics and Cosmology23
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Non è quello che usi tu?Cambia libro di testo
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Young & Freedman Calc 14th EditionCh 01: Units, Physical Quantities & VectorsProblema 14c
Young & Freedman Calc 14th EditionCh 01: Units, Physical Quantities & VectorsProblema 14cCapitolo 1, Problema 14c
With a wooden ruler, you measure the length of a rectangular piece of sheet metal to be 12 mm. With micrometer calipers, you measure the width of the rectangle to be 5.98 mm. Use the correct number of significant figures: What is the perimeter of the rectangle?
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Identify the measurements given: length = 12 mm and width = 5.98 mm.
Recall the formula for the perimeter of a rectangle: \( P = 2(l + w) \), where \( l \) is the length and \( w \) is the width.
Add the length and width: \( l + w = 12 + 5.98 \).
Multiply the sum by 2 to find the perimeter: \( P = 2 \times (12 + 5.98) \).
Determine the number of significant figures for the final result. The length has 2 significant figures, and the width has 3 significant figures. The perimeter should be reported with the least number of significant figures, which is 2.
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Significant Figures
Significant figures are the digits in a measurement that contribute to its precision. They include all non-zero digits, zeros between significant digits, and trailing zeros in a decimal. When performing calculations, the result should be reported with the same number of significant figures as the measurement with the fewest significant figures.
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04:44
Counting Significant Figures
Measurement Precision
Measurement precision refers to the consistency and exactness of a measurement. It is influenced by the instrument used and the method of measurement. In this context, the wooden ruler provides a less precise measurement compared to micrometer calipers, affecting the significant figures in the final calculation.
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07:49Proper Frames and Measurements
Perimeter Calculation
The perimeter of a rectangle is calculated by adding twice the length and twice the width. In this problem, the length is measured as 12 mm and the width as 5.98 mm. The calculation must respect the rules of significant figures, ensuring the final result reflects the precision of the least precise measurement.
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04:15Calculating Dot Product Using Vector Components
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