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⁻² Solve it.

Answer 1

Let the Mass of the Sun be m kg. 

Given conditions ⇒

Mass of the earth(m₁) =  6 x 10²⁴ kg
Distance between Earth and Sun(r) = 1.5 x 10¹¹ m
Universal gravitational Constant(G) = 6.7 x 10⁻¹¹ N m² Kg⁻².
Gravitational Force(F) = 3.5 x 10²² N

Using the Formula, 

   F = Gmm₁/r²
⇒ 3.5 x 10²² =  (6.7 x 10⁻¹¹ × m ×  6 x 10²⁴)/(1.5 x 10¹¹)²
∴ m = (7.875/40.2) × 10³¹
∴ m = 0.195 × 10³¹
⇒ m = 1.95 × 10³¹ 
≈ 2 × 10³⁰ kg. 


Hence, the mass of the sun is 2 × 10³⁰ kg. 


Hope it helps.

Answer 2

_/\_Hello mate__here is your answer--

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GIVEN:---

M1 = Mass of the Sun = 2 × 10^30 kg

M2 = Mass of the Earth = 6 × 10^24 kg

R = Average distance between the Earth and the Sun = 1.5 × 10^11 m

G = 6.7 × 10^−11 Nm^2 kg^−2

According to the universal law of gravitational ,

F = G× M1 × M2/ r^2

(Put the values of all quantities, we get)

=6.7×10^−11×2×10^30×6×10^24/(1.5×10^11)^2

= 3.57 × 10^22 N

Hence, the force of gravitation between the Earth and the Sun is

3.57 × 10^22 N

I hope, this will help you.☺

Thank you______❤

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