Question

Find the gravitational force between the Sun and the Earth. The mass of the sun is 2.0 x 10 ^ 30 kg, and that of the Earth is 6.0 x 10 ^ 24 kg. The distance between the sun and the earth is 1.5 x 10 ^11 metres.​​​

Answer 1

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,

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

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,

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