A rocket is fired from the earth's surface to a distant planet. By Newton's law of universal gravitation, the force F will
increase as r reduces
increase as G varies
remains constant
increases as r increases
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The force would increase as the distance to be covered reduces because in Newtons law of gravitational force. Force is inversely proportional to the square of the distance
The correct answer is:
**A. increase as r reduces** 
### **Explanation:**
According to **Newton's law of universal gravitation**, the force \( F \) between two masses is given by:
\[
F = \frac{G m_1 m_2}{r^2}
\]
Where:
- \( G \) = gravitational constant
- \( m_1, m_2 \) = masses of the two objects
- \( r \) = distance between the centers of the two masses
From the equation, we can see that gravitational force \( F \) is **inversely proportional to the square of the distance** \( r \). This means:
- As \( r \) **reduces** (objects get closer), \( F \) **increases**.
- As \( r \) **increases** (objects get farther apart), \( F \) **decreases**.
Thus, **A. increase as r reduces** is the correct choice. 
