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If the acceleration due to gravity on ea...

If the acceleration due to gravity on earth is `9.81 m//s^(2)` and the radius of the earth is 6370 km find the mass of the earth ?
`(G = 6.67 xx 10^(-11) Nm^(2)//kg^(2))`

Text Solution

AI Generated Solution

To find the mass of the Earth using the given values, we can use the formula that relates the acceleration due to gravity (g), the gravitational constant (G), the mass of the Earth (M), and the radius of the Earth (R): \[ g = \frac{G \cdot M}{R^2} \] Rearranging this formula to solve for the mass of the Earth (M): \[ M = \frac{g \cdot R^2}{G} \] ...
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