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The ratio of earth's gravity to sun's gravity is:(A) 6(B) 1/6(C) 28(D) 1/28

Last updated date: 22nd Jun 2024
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Gravitational force is given by $\mathrm{F}=\mathrm{Gm}_{1} \mathrm{m}_{2} / \mathrm{r}^{2}$ where $\mathrm{m}_{1}$ and $\mathrm{m}_{2}$ are the masses of the two objects, $r$ is the distance between their centres of gravity, and $\mathrm{G}$ is the universal gravitational constant.
Note: We can know that about 1.3 million Earths could fit inside the sun. The mass of the sun is $1.989\text{ }\times \text{ }{{10}^{30}}$ kilograms, about 333,000 times the mass of the Earth. Because the Sun continues to 'burn' hydrogen into helium in its core, the core slowly collapses and heats up, causing the outer layers of the Sun to grow larger. It is a very gradual process, and in the last 4 billion years, the Sun has barely grown by perhaps 20 percent at most. The second way the Sun loses mass is through nuclear fusion. The Sun fuses hydrogen into helium in its core, producing its life-giving glow over billions of years. So the Sun loses about 5.5 million tonnes of mass every second, or about 174 trillion tonnes of mass every year.