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Question & Answer
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An object in motion will remain in motion unless acted upon by an external force.
The path of a particle is always a straight line in a gravitational field.
The least action principle can be used to derive equations of motion for complex systems.
Forces acting on an object must always be equal and opposite for it to be in equilibrium.
The Euler-Lagrange equations can only be applied to systems with conservative forces.
Understanding the Answer
Let's break down why this is correct
Newton’s First Law says an object keeps its motion unless a force acts. Other options are incorrect because You might think gravity forces a straight path, but gravity actually bends a particle’s path, like a ball rolling down a hill curves toward the earth; People may think Euler–Lagrange only applies to conservative forces, but it works for non‑conservative forces too when the equations include extra terms.
Key Concepts
Classical Mechanics Principles
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Deep Dive: Classical Mechanics Principles
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Definition
Classical mechanics principles cover Newton's Laws, the Principle of Least Action, Euler-Lagrange equations, and Hamilton's equations. It provides a foundational understanding of the classical state of physical systems and their behavior.
Topic Definition
Classical mechanics principles cover Newton's Laws, the Principle of Least Action, Euler-Lagrange equations, and Hamilton's equations. It provides a foundational understanding of the classical state of physical systems and their behavior.
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