Question

The gravitational force with which the sun attracts the earth?
1. Is less than the forces with which earth attracts the sun
2. Is the same as the force with which earth attracts the sun
3.  Is more than the forces with which earth attracts the sun
4. Is constant through the year

Answer 1

Correct Answer - Option 2 : Is the same as the force with which earth attracts the sun

The correct answer is Is the same as the force with which earth attracts the sun.

• The gravitational force with which the sun attracts the earth is the same as the force with which the earth attracts the sun.
• Newton’s law of gravitation states that any particle of matter in the universe attracts any other with a force varying directly as the product of the masses and inversely as the square of the distance between them.

• Mathematical representation of Newton's law 
• \(F=G{\frac{m_1m_2}{r^2}}\)
• Here F is the gravitational force, G is the gravitational constant, m1 & m2 are masses of both objects and r is the distance between the objects.
• \(G=6.67430 \times 10^{-11} \; \frac{N \cdot m ^{2}}{ kg^{2}} \) 
• Hence, the force will be equal for both the earth and the sun.