To solve the equation \( F = \frac{G \cdot m \cdot M}{d^2} \) for \( M \), follow these steps:

1. **Multiply both sides of the equation by \( d^2 \):**
   \[
   F \cdot d^2 = G \cdot m \cdot M
   \]

2. **Divide both sides by \( G \cdot m \):**
   \[
   M = \frac{F \cdot d^2}{G \cdot m}
   \]

So, the solution for \( M \) is:
\[
M = \frac{F \cdot d^2}{G \cdot m}
\]

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. What is the significance of each variable in the equation \( F = \frac{G \cdot m \cdot M}{d^2} \)?
2. How does changing the distance \( d \) affect the force \( F \) between two masses?
3. What would happen to \( M \) if the gravitational constant \( G \) were different?
4. Can you solve for \( d \) in the equation \( F = \frac{G \cdot m \cdot M}{d^2} \)?
5. How can this equation be applied in calculating the gravitational force between Earth and another object?

**Tip:** In physics, when solving for a variable, it's essential to understand the physical meaning behind the symbols and how they relate to each other. This deepens your understanding of the concepts involved.

Learn how to solve for M in the equation F = G * m * M / d^2 with a detailed step-by-step solution. Understand the significance of each variable and how they affect gravitational force calculations. Suitable for high school students studying physics.

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