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Newton's universal law of gravitation, Meaning (SPM Physics)

Every mass attracts every other mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres.

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EnglishNewton's universal law of gravitation
Bahasa MelayuHukum kegravitian semesta Newton
中文万有引力定律

Definition

Every mass attracts every other mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres.

Gravitation

In exam terms

Newton's universal law of gravitation states that every mass attracts every other mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres. It is written F = GMm ÷ r².

Here F is the gravitational force in newtons (N), M and m are the two masses in kilograms (kg), r is the distance between their centres in metres (m), and G is the universal gravitational constant, about 6.67 × 10⁻¹¹ N m² kg⁻². Doubling the separation r reduces the force to a quarter, because of the inverse-square relationship.

Do not confuse it with…

Do not confuse Newton's law of gravitation (F = GMm ÷ r², the attraction between two masses) with gravitational field strength (g = GM ÷ r², the force per kilogram at a point). The first gives a force in newtons; the second gives a field strength in N kg⁻¹.

In Paper 2 you may be asked to state the law in words, or to explain why the force between planets is still large despite the small value of G. Point to the enormous masses M and m, which more than make up for the tiny constant.

Source: DSKP KSSM Physics Form 4 and 5 (Versi English) (Bahagian Pembangunan Kurikulum (BPK), KPM)

Frequently asked questions

What does the inverse-square part of the law mean?
If the distance between two masses doubles, the gravitational force falls to one quarter, because force is proportional to 1 ÷ r². Tripling the distance makes it one ninth.
Why is gravitational force between everyday objects too small to notice?
Because G is extremely small, about 6.67 × 10⁻¹¹ N m² kg⁻². Only when at least one mass is huge, like a planet, does the force become significant.
What is r measured from?
From the centre of one mass to the centre of the other, not from their surfaces. This is why r for an object on Earth is roughly the Earth's radius.

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