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What is the universal law of gravitation?
Exam-ready answer
The universal law of gravitation states that every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. The force acts along the line joining their centres.
Explanation
Newton's universal law of gravitation says that any two objects attract each other. The force is proportional to the product of their masses: if either mass increases, the force increases. It is inversely proportional to the square of the distance between their centres: if distance doubles, the force becomes one-fourth.
Mathematically, F = G × (m1 × m2) / d^2, where G is the universal gravitational constant. Its value is 6.67 × 10^-11 N m^2 kg^-2. The force is always attractive and acts along the line joining the centres of the two objects.
For example, the gravitational force between the Sun and the Earth keeps the Earth in orbit. Similarly, the force between the Earth and an object on its surface gives the object its weight. This law applies to all objects, from tiny particles to planets.
Points to remember
- Every object attracts every other object with a gravitational force.
- Force is directly proportional to the product of masses: F ∝ m1 m2.
- Force is inversely proportional to the square of distance: F ∝ 1/d^2.
- Formula: F = G m1 m2 / d^2, where G = 6.67 × 10^-11 N m^2 kg^-2.
- The force is always attractive and acts along the line joining the centres.
Exam tip
Always write the formula F = G m1 m2 / d^2 with the correct SI unit of G. Mention that the force is attractive and acts along the line joining the centres to score full marks.
Questions students also ask
What is the value of G?
Why is the gravitational force called universal?
How does distance affect gravitational force?
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