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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoBrown 15th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 29a
Capitolo 1, Problema 29a

(a) Calculate the kinetic energy (in joules) of a 1200-kg automobile moving at 18 m/s.

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Identify the mass (m) of the automobile and its velocity (v). In this problem, the mass is 1200 kg and the velocity is 18 m/s.
Recall the formula for kinetic energy (KE), which is given by KE = \(\frac{1}{2}mv^2\).
Substitute the values of mass and velocity into the kinetic energy formula. So, plug in m = 1200 kg and v = 18 m/s into the equation.
Perform the squaring of the velocity, which is 18 m/s. Calculate \(18^2\).
Multiply the result from the previous step by the mass and then by 0.5 (or divide by 2) to find the kinetic energy in joules.

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Concetti chiave

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Kinetic Energy

Kinetic energy 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 of the object in kilograms and 'v' is its velocity in meters per second. This concept is fundamental in physics and helps in understanding how the speed and mass of an object contribute to its energy.
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Kinetic & Potential Energy

Units of Measurement

In physics, it is crucial to use consistent units when performing calculations. Kinetic energy is measured in joules (J), where 1 joule is equivalent to 1 kg·m²/s². Understanding how to convert and apply these units correctly is essential for accurate calculations in problems involving energy.
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Units of Radiation Measurement

Mass and Velocity Relationship

The relationship between mass and velocity is significant in determining kinetic energy. As mass increases, kinetic energy increases linearly, while an increase in velocity results in a quadratic increase in kinetic energy. This means that small changes in velocity can lead to large changes in kinetic energy, highlighting the importance of both factors in motion-related calculations.
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