Question

calculate the force of gravitation between the earth and the sun ,given that the mass of earth is equal 6*10to the power 24kg and of the sun is equal 2*11to the power 30kg .The average distance between the two is1.5*10to the power 11m​

Answer 1

Answer:

= 3.557 × 10²² N

Explanation:

mass of earth = 6 × 10²⁴ Kg

mass of sun = 2 × 10^30 Kg

distance between earth and sun = 1.5 × 10¹¹ m

F = GMm/r²

= 6.67 × 10-¹¹ × 6 × 10²⁴ × 2 × 10^30/(1.5 × 10¹¹)²

= { 6.67 × 6 × 2/2.25} × 10¹³ × 10^30× 10-²²

= 35.57 × 10²¹ N

= 3.557 × 10²² N

Answer 2

Explanation:

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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