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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 14th Edition
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Tutti i libri di testoBrown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 25a
Capitolo 1, Problema 25a

(a) Calculate the kinetic energy, in joules, of a 15-g bullet moving at 120 m/s.

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Identify the formula for kinetic energy: \( KE = \frac{1}{2}mv^2 \), where \( m \) is the mass in kilograms and \( v \) is the velocity in meters per second.
Convert the mass of the bullet from grams to kilograms by dividing by 1000. For a 15-g bullet, the mass \( m = 0.015 \) kg.
Substitute the mass \( m = 0.015 \) kg and the velocity \( v = 120 \) m/s into the kinetic energy formula.
Calculate the expression \( \frac{1}{2} \times 0.015 \times (120)^2 \) to find the kinetic energy in joules.
Ensure the units are consistent and the calculation is correct to determine the kinetic energy in joules.

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Kinetic Energy Formula

Kinetic energy (KE) is the energy an object possesses due to its motion. It is calculated using the formula KE = 0.5 * m * v², where m is the mass in kilograms and v is the velocity in meters per second. This formula highlights the relationship between mass, velocity, and energy, indicating that kinetic energy increases with the square of the velocity.
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Kinetic Energy Formulas

Unit Conversion

In physics, it is often necessary to convert units to ensure consistency in calculations. In this question, the mass of the bullet is given in grams, which must be converted to kilograms (1 g = 0.001 kg) to use the kinetic energy formula correctly. Proper unit conversion is crucial for obtaining accurate results in scientific calculations.
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Conversion Factors

Joules as a Unit of Energy

The joule (J) is the standard unit of energy in the International System of Units (SI). It is defined as the energy transferred when a force of one newton is applied over a distance of one meter. Understanding that kinetic energy will be expressed in joules helps in interpreting the results of the calculation and its relevance in physical contexts.
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SI Units
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Domanda del libro di testo

Two positively charged particles are first brought close together and then released. Once released, the repulsion between particles causes them to move away from each other. (b) Does the potential energy of the two particles prior to release increase or decrease as the distance between them is increased.

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Domanda del libro di testo

A silvery metal is put inside a beaker of water. Bubbles form on the surface of the metal and it dissolves gradually. (a) Is this an example of a chemical or a physical change?

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Domanda del libro di testo

Two positively charged particles are first brought close together and then released. Once released, the repulsion between particles causes them to move away from each other. (a) This is an example of potential energy being converted into what form of energy?

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