Question

Compare the gravitational force on a body of mass 1 kg due to the earth with the force on the same body due to another body of mass 1 kg at a distance of 1 m from the first body. (Mass of the earth = 6 × 10²⁴ kg, radius of the earth = 6400 km)

Answer 1

In the first case, m₁ = 1kg,

m₂ = 6 × 10²⁴ kg and r = 6400 km = 6.4 × 10⁶ m

The gravitational force on the body.

= \(\frac{G\times6\times10^{24}Kg^2}{(6.4)^2\times10^{12}m^2}\)

n second case, m₁ = 1 kg

m₂ = 1 kg and r = 1m

Gravitational force on the body,