Question

The SI unit of the universal constant of gravitation is .........

Fill in the blank​

Answer 1

Answer:

Nm²/(kg)²

Explanation:

we know that F= GMm/r²

by re arranging we get G=Fr²/Mm

where F is force , r is distance and M & m is the mass of two heavenly bodies and G is the gravitational constant.

We also know that unit of

• force is Newton (N)
• distance is meter (m)
• mass is kilogram (kg)

therefore on substituting we get SI unit of G as

G= Nm²/(kg)².

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Answer 2

The SI unit of the universal constant of gravitation is Newton m²/kg² .

• The value of Universal Gravitational Constant is 6.67 × 10^(-11) Newton m²/kg².

• It is denoted as 'G'.

$\therefore \: g = \dfrac{Gm}{ {r}^{2} }$

$\implies \:G = \dfrac{g {r}^{2} }{m}$

$\implies \:G = 6.67 \times {10}^{ - 11} \: N {m}^{2} {kg}^{ - 2}$

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