Question

the mass of the earth is 6×10 raise to 24 kg. The distance between the earth and the sun is 1.5 × 10 raise to 11 m. If the gravitational force between the two is 3.5 × 10 raise to 22 N, what is the mass of the Sun ? Use G = 6.7 ×10 raise to -11 N m square kg raise to -2 . ( theanswer will be - 1.96 × 10 raise to 30 kg ) I want the whole method ......its really urgent

Answer 1

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Answer 2

Me = 6 x 1024 kg

G = 6.7 x 10–11 Nm2/kg2

Ms = ?

d = 1.5 x $10^{11}$ m

Gravitational force, F = G$\frac{MeMs}{d^{2} }$

⇒3.56 ×$10^{22}$ N = $\frac{6.7 × 10^{-11} × 6 × 10^{24} × Ms  }{(1.5 × 10^{11}) ^{2} }$

⇒ 3.56 × $10^{22}$ = $\frac{40.2 × 10^{13} × Ms}{2.25 × 10^{22} }$

⇒ 3.56 × $10^{22}$ = 17.8 × $10^{-9}$

⇒ Ms = $\frac{3.56×10^{22} }{17.8 × 10^{-9} }$

⇒ Ms = 0.2 × $10^{31}$

⇒ Ms = 2 ×$10^{30}$

Therefore the correct answer will be 2 ×$10^{30}$ kg

                                                                          (A means ×)