Question

calculate the force of gravitation between the earth and sun given that the mass of the earth is equal to 6×10 raise to 24 kg and of the sun is equal to 2×10 raise to 30kg the average distance between the two is 1.5×10 raise to 11m​

Answer 1

Answer:

Given : Mass of earth m=6×10

24

kg

Mass of Sun M=2×10

30

kg

Distance between sun and earth r=1.5×10

11

m

Force of gravitation between them F=

r

2

GMm

F=

(1.5×10

11

)

2

6.67×10

−11

×(6×10

24

)×(2×10

30

)

=3.557×10 N

Answer 2

Given :

$M_1$ =mass of sun=$2×{10}^{30}\:kg$

$M_2$=mass of earth=$6×{10}^{24}\:kg$

R= Avg. distance between the Earth and the Sun $=1.5×{10}^{11}\:m$

$G=6.7×{10}^{-11}\:N{m}^{2}/{kg}^{2}$

According to universal law of gravitation,

$\begin{gathered}F=\frac{G×M_1×M_2}{{r}^{2}}\\\\=\frac{6.7×{10}^{-11}×2×{10}^{30}×6×{10}^{24}}{{(1.5×{10}^{11})}^{2}}\\\\\\\underline{F=3.57×{10}^{22}\:N}\\\\\\\underline{\boxed{\sf{ F=3.57×{10}^{22}\:N}}} \end{gathered}$

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