Question

the mass of the earth is 6 into 10 raise to 24 kg the distance between the Earth and the Sun is 1.52 into 10 raise to 11 with the gravitational force between the two is 3.5 into 10 raise to 22 Newton what is the mass of the Sun

Answer 1

Hello Dear.

Here is the answer---

→→→→→→→→

Mass of the Earth(m₁) = 6 × 10²⁴ kg.

Distance between the Earth and the Sun(r) = 1.52 × 10¹¹  m.

Gravitational Force(F)= 3.5 × 10²² N.

Gravitational Constant(G) = 6.67 × 10⁻¹¹  Nm²kg⁻².


Using the Formula,

   
     F =  $\frac{G m1 m2}{ r^{2} }$
 3.5 × 10²² = (6.67 × 10⁻¹¹ × 6 × 10²⁴ × m₂) ÷ (1.52 × 10¹¹)²
⇒ 3,5 × 10²² × 1.52 × 1.52 × 10²² = 6.67 × 6 × 10¹³ × m₂
⇒ m₂ = (8.0864 × 10⁴⁴) ÷ (40.02 × 10¹³)
⇒ m₂ = 0.2020589 × 10³¹
⇒ m₂ = 2.02 × 10³⁰ kg.


∴ The Mass of the Sun is 2.02 × 10³⁰ kg.


→→→→→→→→→→


Hope it helps.

Have a Good Day.

Answer 2

_/\_Hello mate__here is your answer--

____________________

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______❤

_______________________❤