Understanding Gravity and Distance

The force of gravity between two objects (like a planet and a spacecraft) is governed by Newton's Law of Universal Gravitation. This law tells us that the force of gravity is:

* Directly proportional to the product of their masses: Larger masses exert a stronger gravitational pull.

* Inversely proportional to the square of the distance between their centers: As objects get closer, the gravitational force between them increases rapidly.

Calculating the New Force

1. The relationship: Since the force of gravity is inversely proportional to the square of the distance, if you halve the distance, the force will increase by a factor of 4.

2. The calculation:

* Original force: 1 million Newtons

* Distance halved: Force increases by 4

* New force: 1 million Newtons * 4 = 4 million Newtons

Answer: If the spacecraft moves to half its original distance from the planet, the force between them will be 4 million Newtons.