Chapter: Gravitation· Science & Technology Part 1

g. The mass of the earth is 6 x 1024 kg. The distance between the earth and the Sun is 1.5x 1011 m.

g. The mass of the earth is 6 x 10²⁴kg. 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?

Doubtly Asked 4 May 2021 Student doubt gravitation Save WhatsApp Report

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the mass of the earth, m = 6 × 10²⁴ kg
Assume the mass of the sun is M
distance between earth and sun , r = 1.5 × 10¹¹ m
force between sun and earth , F = 3.5 × 10²² N
use gravitational force formula,
F = GMm/r²
3.5 × 10²² = 6.67 × 10⁻¹¹ × 6 × 10²⁴ M/(1.5 × 10¹¹)²
3.5 × 10²² × 2.25 × 10²²/(6.67 × 6 × 10¹³) = M
M = 0.196 × 10³¹ kg

hence, mass of the sun is 1.96 × 10³⁰ kg

Doubtly · 4 May 2021 Report

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g. The mass of the earth is 6 x 1024 kg. The distance between the earth and the Sun is 1.5x 1011 m.

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