Question

g. 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 2
Ans: 1.96 x 1030 kg

please tell me​

Answer 1

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

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