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Gravitational mass is proportional to gr...

Gravitational mass is proportional to gravitational

A

Field

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Force

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Intensity

D

All of these

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To solve the question regarding the relationship between gravitational mass and gravitational force, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Gravitational Mass**: Gravitational mass is a measure of how much gravitational force a body experiences in a gravitational field. It is a property of matter that determines the strength of the gravitational interaction. **Hint**: Gravitational mass is related to how much force a body feels in a gravitational field. 2. **Gravitational Force**: The gravitational force (F) acting on an object in a gravitational field (G) is given by the equation: \[ F = m \cdot G \] where \( m \) is the gravitational mass of the object and \( G \) is the strength of the gravitational field. **Hint**: Remember the formula that relates force, mass, and gravitational field strength. 3. **Proportionality**: From the equation \( F = m \cdot G \), we can see that if the gravitational field strength (G) increases, the gravitational force (F) also increases, assuming the mass (m) remains constant. This indicates that gravitational mass is proportional to the gravitational force when the field strength is constant. **Hint**: Look for how changes in one quantity affect another in the equation. 4. **Conclusion**: Therefore, we conclude that gravitational mass is proportional to the gravitational force experienced by the body in a gravitational field. The relationship can be summarized as: \[ m \propto F \quad \text{(when G is constant)} \] **Hint**: Think about how mass, force, and field strength are interconnected. ### Final Statement: Thus, gravitational mass is proportional to the gravitational force acting on the body when in a gravitational field.
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ERRORLESS -GRAVITATION-SET
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