1.

The mass of the Earth is `6 xx 10^(24)` kg and its radius is 6400 km. Find the acceleration due to gravity on the surface of the Earth.

Answer» Given
Mass of the Earth, `M = 6 xx 10^(24) kg`
Radius of the Earth, `R = 6400 km = 64 xx 10^(5) m`
Universal gravitational constant, `G = 6.67 xx 10^(-11) N m^(2) kg^(-2)`
Acceleration due to gravity on the surface of the Earth, `g = (GM)/(R^(2))`
`" "g = (GM)/(r^(2))=(6.67 xx 10^(-11) xx 6 xx 20^(24))/((64 xx 10^(5)))=9.77 m s^(-2)`


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