The earth (mass = 6 ×10^24 kg)) revolves r

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The earth (mass $ = 6 \times {10^{24}}\,kg)$) revolves round the sun with angular velocity $2 \times {10^{ - 7}}\,rad/s$ in a circular orbit of radius $1.5 \times {10^8}\,km$. The force exerted by the sun on the earth in newtons, is

A

$18 \times {10^{25}}$

B

Zero

C

$27 \times {10^{39}}$

D

$36 \times {10^{21}}$

The earth (mass $ = 6 \times {10^{24}}\,kg)$) revolves round the sun with angular velocity $2 \times {10^{ - 7}}\,rad/s$ in a circular orbit of radius $1.5 \times {10^8}\,km$. The force exerted by the sun on the earth in newtons, is

$m = 6 \times {10^{24}}kg,$  $\omega = 2 \times {10^{ - 7}}rad/s,$ $R = 1.5 \times {10^{11}}m$ 

The force exerted by the sun on the earth $F = m{\omega ^2}R$ 

By substituting the value we can get, $F = 36 \times {10^{21}}N$