Question

The mass of the earth is 6 x 1024 kg. The distance between the earth and the Sun is 1.5x 1011 m. If the gravitational force between the two is 3.5 x 1022 N, what is the mass of the Sun? Use G= 6.7 x 10-11 N m² kg-2how
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Answer 1

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The mass of the earth is 6 x 10²⁴ kg. The distance between the earth and the Sun is 1.5x 10¹¹ m. If the gravitational force between the two is 3.5 x 10² N, what is the mass of the Sun?

Answer:-

Given that,

Earth of mass M = 3.5 × 10² N

Distance between Earth and The sun r = 1.5 × 10¹¹m

Mass of the sun = m

The gravitational force is

$F = \frac{GMm}{r²}$

$3.5 \times {10}^{2} \: = \: \frac{6.67×10-¹¹×6×10²⁴}{(1.5×10¹¹)²}$

$m = \frac{3.5 × 10² × 1.5 × 10¹¹× 1.5×10¹¹ }{6.67×10-¹¹× 6 × 10²⁴}$

m = 0.1967 × 10¹¹ kg

m= 1.97 × 10¹⁰ kg

Hence, the mass of sun is 1.97 × 10¹⁰ kg

Hope it helps!

Brainliest Please! :)