Question

Calculate the force of gravitation between the earth and the sun, given that the mass of the earth is $6\times {10}^{24}kg$ and the sun is $2\times {10}^{30}kg$. The average distance between the two is $1.5\times {10}^{11}m$.

• A. $35.57\times {10}^{21}N$
• B. $35.57\times {10}^{20}N$
• C. $35.57\times {10}^{19}N$
• D. $35.57\times {10}^{22}N$

Answer 1

The correct option is A $35.57\times {10}^{21}N$

Given,

Mass of Earth, $M_e=6\times {10}^{24}kg$

Mass of sun, $M_s=2\times {10}^{30}kg$

Distance between the earth and sun, $R=1.5\times {10}^{11}m$

According to Newton's law of gravitation,

$F_g=\frac{G{M}_e{M}_s}{R^2}$

$F_g=\frac{6.67\times {10}^{-11}\times (6\times {10}^{24})\times (2\times {10}^{30})}{(1.5\times {10}^{11}{)}^2}$

$F_g=35.57\times {10}^{21}N$