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F=Gm1,m2//d2 is the equation representin...

`F=Gm_1,m_2//d_2` is the equation representing Newton's law of universal gravitation. Which of the statements below is true?

A

G is called the gravitation constant

B

The law can be used to calculate the mass of an object on another planet if the mass and radius of that planet are known

C

Knowing the value of G, one can easily calculate the mass of the earth.

D

All of the above are true.

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To solve the question regarding Newton's law of universal gravitation and determine which statement is true, we will analyze the equation and the options provided. ### Step-by-Step Solution: 1. **Understanding the Equation**: The equation given is \( F = \frac{G m_1 m_2}{d^2} \), where: - \( F \) is the gravitational force between two masses. - \( G \) is the gravitational constant, approximately \( 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \). - \( m_1 \) and \( m_2 \) are the masses of the two objects. - \( d \) is the distance between the centers of the two masses. 2. **Analyzing the Statements**: Now, we will evaluate each statement provided in the options. - **Option 1**: "G is called gravitational constant." - This statement is **true**. \( G \) indeed represents the gravitational constant. - **Option 2**: "The law can be used to calculate the mass of an object on another planet if the mass and the radius of the planet are known." - This statement is **false**. While knowing the mass and radius is helpful, the gravitational force between the object and the planet must also be known to calculate the mass. - **Option 3**: "Knowing the value of G, one can easily calculate the mass of the Earth." - This statement is **false**. To calculate the mass of the Earth, one would need to know the gravitational force acting on an object and the distance from the center of the Earth to that object. - **Option 4**: "All of the above are true." - This statement is **false** since not all previous statements are true. 3. **Conclusion**: The only true statement among the options is **Option 1**: "G is called gravitational constant." ### Final Answer: The true statement is: **G is called gravitational constant.**
To solve the question regarding Newton's law of universal gravitation and determine which statement is true, we will analyze the equation and the options provided. ### Step-by-Step Solution: 1. **Understanding the Equation**: The equation given is \( F = \frac{G m_1 m_2}{d^2} \), where: - \( F \) is the gravitational force between two masses. - \( G \) is the gravitational constant, approximately \( 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \). ...
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