Here are the essential concepts you must grasp in order to answer the question correctly.
Algebraic Manipulation
Algebraic manipulation involves rearranging equations to isolate a specific variable. This process includes operations such as addition, subtraction, multiplication, and division applied to both sides of the equation. Understanding how to manipulate equations is crucial for solving for a variable, especially in formulas where multiple variables are present.
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Understanding Variables
In the context of the formula F = GMm/r², each letter represents a variable with a specific physical meaning: F is the gravitational force, G is the gravitational constant, M is the mass of one object, m is the mass of another object, and r is the distance between their centers. Recognizing the role of each variable helps in understanding how to isolate the variable of interest, in this case, m.
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Denominator Restrictions
When solving equations, it is essential to consider restrictions on the variables, particularly those in the denominator. In this formula, r cannot be zero, as division by zero is undefined. Acknowledging these restrictions ensures that the solutions derived from the manipulation of the equation are valid and applicable in real-world scenarios.
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