For each of the following processes, does the potential energy of the object(s) increase or decrease? (b) Water is pumped from ground level to the reservoir of a water tower 30 m above the ground.
Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 31b
Convert the following expressions into exponential notation: (b) 2.5 femtoseconds (fs)
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Exponential Notation
Exponential notation is a mathematical way to express numbers as a product of a coefficient and a power of ten. It simplifies the representation of very large or very small numbers, making calculations easier. For example, 2.5 can be expressed as 2.5 x 10^0, while smaller units like femtoseconds can be represented using negative exponents.
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Metric Prefixes
Metric prefixes are standardized terms used to denote specific powers of ten in the metric system. For instance, 'femto-' represents 10^-15, indicating one quadrillionth of a unit. Understanding these prefixes is essential for converting measurements into exponential notation, as they provide a clear framework for interpreting and manipulating different scales.
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Unit Conversion
Unit conversion involves changing a measurement from one unit to another while maintaining the same quantity. In the context of the question, converting 2.5 femtoseconds into exponential notation requires recognizing the relationship between femtoseconds and seconds, allowing for accurate representation of time intervals in a more manageable form.
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Related Practice
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What is the kinetic energy and velocity of the aluminum sphere in Problem 1.4 at the moment it hits the ground? (Assume that energy is conserved during the fall and that 100% of the sphere's initial potential energy is converted to kinetic energy by the time impact occurs.)
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Convert the following expressions into exponential notation: (a) 3 terameters (tm)
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Convert the following expressions into exponential notation: (d) 8.3 megagrams (mg).
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Use appropriate metric prefixes to write the following measurements without use of exponents: (c) 1.828 * 10-3 s
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Use appropriate metric prefixes to write the following measurements without use of exponents: (d) 3.523×109 m3
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